Differential Equation

Results for NTCIR10-FT-11

Query

Original Query

NTCIR10-FT-11 Full Text Query Differential Equation \qvar{x}^{{\prime}}(\qvar{t})+\sum^{\qvar{N}}_{{\qvar{j}=1}}B_{{\qvar{j}}}(\qvar{t})\qvar{x}\bigl(\qvar{t}-\tau _{\qvar{j}}(\qvar{t})\bigr)=F(\qvar{t}) ( ) + = 1 B ( ) ( - τ ( ) ) = F ( ) superscript normal-′ subscript superscript 1 subscript B subscript τ F conditions boundedness

Compiled by FSE

Token-Filter

  • TeXFilter:[F, B, bigr, +, sum, ( x 5, ) x 5, -, prime, 1, tau, bigl, \ x 5, _ x 3, ^ x 2, = x 2]
  • Presentation-MathML:[F, 1, ′, B, ∑, +, (, ), = x 2, τ, -]

MathML-Filter

mrow[mrow[mrow[msup[(.*?);mo[′]];mfenced[(.*?)]];mo[+];mrow[msubsup[mo[∑];mrow[(.*?);mo[=];mn[1]];(.*?)];mrow[msub[mi[B];3];mfenced[2];1;mfenced[mrow[2;mo[-];mrow[msub[mi[τ];3];mrow[mo[(];2]]];mo[)]]]]];mo[=];mrow[mi[F];mfenced[2]]] apply[eq;apply[plus;apply[times;apply[csymbol[superscript];(.*);ci[normal-′]];(.*)];apply[apply[csymbol[subscript];apply[csymbol[superscript];sum;(.*)];apply[eq;(.*);cn[1]]];apply[times;apply[csymbol[subscript];ci[B];4];2;1;apply[minus;2;apply[times;apply[csymbol[subscript];ci[τ];4];2]]]]];apply[times;ci[F];2]]

Word filter

Keywords:[conditions, boundedness] Rendered Presentation-MathML: ()+=1B()(-τ())=F()

Results

Summary

Reviewer score 2

  • Items reviewd: 7
  • Accumulated score: 0
  • Formulasearchengine found: 0

Reviewer score 0

  • Items reviewd: 93
  • Accumulated score: 35886
  • Formulasearchengine found: 2
.
+++o
200000+0000
5000-2000000022
<5000079198
0793100
50000000:0 200000:0 10000:2 5000:2

Short result list

Detailed results for reviewer score 2

Hit id110869

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 3
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f038842.xhtml#id110869
no match at pos:868692(000060%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
1ρ0T-1ρ0T-1,Tr-1=ρ0T-1,nρ0T-1Hr+i=1d-1Hrθiρ0T-1,eiρ0T-11subscriptρ0superscriptT1subscriptρ0superscriptT1subscriptsuperscriptT1rsubscriptρ0superscriptT1nsubscriptρ0superscriptT1subscriptHrsuperscriptsubscripti1d1subscriptHrsubscriptθisubscriptρ0superscriptT1subscripteisubscriptρ0superscriptT1
End of MathML
.

Hit id111460

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 4
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f038842.xhtml#id111460
no match at pos:878232(000061%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
=Hrρ0T-1ρ0T-1,n+1H-gi=1d-1Hθiρ0T-1,ei.subscriptHrsubscriptρ0superscriptT1subscriptρ0superscriptT1n1Hgsuperscriptsubscripti1d1subscriptHsubscriptθisubscriptρ0superscriptT1subscriptei
End of MathML
.

Hit id167997

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 5
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/120/f047956.xhtml#id167997
no match at pos:1780675(000088%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ψρ,t=2π-1/2-+ψ^σ,0eiσtZρ,σdσ.ψρtsuperscript2π12superscriptsubscript^ψσ0superscripteiσtZρσdσ
End of MathML
.

Hit id64938

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 6
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/38/f014974.xhtml#id64938
no match at pos:169250(000026%) VariableMap:[ cdots, aligned x 2, lVert x 7, sum x 5, x 2, neq x 3, infty, rVert x 7, K x 2, T x 2, lvert x 4, S x 5, \ x 73, left x 14, _ x 23, ^ x 16, dots, right x 14, end, & x 3, n x 3, + x 2, rvert x 4, ( x 8, ) x 8, ., frac x 2, - x 9, begin, i x 11, 2 x 20, 1 x 12, displaystyle x 4, z x 6, = x 4] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Kz-Ti-122=z21+n=1i1i2inSi122Si222Sin22=z21-Si221+Si22-1=z21-1-z2Kiz-Ti-122-1.-⁢Kz∑Ti-122=⁢z2+1∑=n1∞∑i1≠i2≠…≠in⁢Si122Si222⋯Sin22=⁢z2-1∑Si22+1Si22-1=⁢z2-1∑-1z2-⁢KizTi-122-1\begin{aligned}\displaystyle\left\lVert(K(z)-\sum T_{i})^{{-1}}\right\rVert _{2}^{2}&\displaystyle=\left\lvert z\right\rvert^{2}\left(1+\sum _{{n=1}}^{\infty}\sum _{{i_{1}\neq i_{2}\neq\dots\neq i_{n}}}\left\lVert S_{{i_{1}}}\right\rVert _{2}^{2}\left\lVert S_{{i_{2}}}\right\rVert _{2}^{2}\cdots\left\lVert S_{{i_{n}}}\right\rVert _{2}^{2}\right)\\ &\displaystyle=\left\lvert z\right\rvert^{2}\left(1-\sum\frac{\left\lVert S_{i}\right\rVert _{2}^{2}}{1+\left\lVert S_{i}\right\rVert _{2}^{2}}\right)^{{-1}}\\ &\displaystyle=\left\lvert z\right\rvert^{2}\left(1-\sum(1-\frac{\left\lvert z\right\rvert^{2}}{\left\lVert(K_{i}(z)-T_{i})^{{-1}}\right\rVert _{2}^{2}})\right)^{{-1}}.\end{aligned}
End of MathML
.

Hit id80845

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 7
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/249/f099329.xhtml#id80845
no match at pos:400616(000042%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Un=sup-tnt0i=1PBnΦai-kndx+i=1PQnxΨai-kn2dxds.subscriptUnsubscriptsupsubscripttnt0superscriptsubscripti1PsubscriptsubscriptBnΦsubscriptaisubscriptkndxsuperscriptsubscripti1PsubscriptsubscriptQnsuperscriptsubscriptxΨsubscriptaisubscriptkn2dxds
End of MathML
.

Hit idp20822416

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 8
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/114/f045333.xhtml#idp20822416
no match at pos:147915(000015%) VariableMap:[rm, A, B x 2, sum, W, alpha, \ x 7, _ x 7, ^ x 5, f, d, e, int, +, ( x 2, m, ) x 2, ., - x 5, i x 4, 1 x 3, u x 2, 0 x 3, t x 2, tau x 3, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
W=u0-B-1u0+B-1i=1mαi0tie-A(ti-τ)f(τ)dτ.Wsubscriptu0superscriptB1subscriptu0superscriptB1superscriptsubscripti1msubscriptαisuperscriptsubscript0subscripttisuperscripteAsubscripttiτfτdτW=u_{0}-B^{{-1}}u_{0}+B^{{-1}}\sum _{{i=1}}^{m}\alpha _{i}\int _{0}^{{t_{i}}}{\rm e}^{{-A(t_{i}-\tau)}}f(\tau)d\tau.
End of MathML
.

Hit idp2818064

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 9
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/132/f052673.xhtml#idp2818064
no match at pos:342590(000096%) VariableMap:[mathbb, sum, P, S, \ x 10, _ x 4, left, ^ x 2, right, f, a, n x 2, mu x 2, +, o, ( x 3, ) x 3, ., k x 4, ,, frac x 2, -, prime, 1 x 2, displaystyle, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
=f(μ)ank=1n(Sk,kk-μ)+oP(1).absentsuperscriptfμsubscriptansuperscriptsubscriptk1nsubscriptSkkkμsubscriptoP1\displaystyle=\frac{f^{{\prime}}(\mu)}{a_{n}}\sum _{{k=1}}^{n}\left(\frac{S_{{k,k}}}{k}-\mu\right)+o_{\mathbb{P}}(1).
End of MathML
.

Detailed results for reviewer score 0

Hit id78445

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 1
  • Formulasearchengine score: 17980
  • Reference to collection: _PREFIX_/8/f003160.xhtml#id78445
found all required tokens in TeX ${\mathbf{F}}=\frac{1}{\tau}\frac{2N-2}{N^{2}(c_{{N/2}}/2+\sum _{{d=1}}^{{N/2-1}}{c_{d}})}{\mathbf{C}},$ at pos:392429(67%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9375 * WORD_SCORE[ conditions] + 1.5 * TOKEN_SCORE[F] + 1.0 * TOKEN_SCORE[B] + 1.0 * TOKEN_SCORE[bigr] + 1.5 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[-] + 1.0 * TOKEN_SCORE[prime] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[tau] + 1.0 * TOKEN_SCORE[bigl] + 1.984375 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.9375*6.3879740791131+1.5*0.577473350122334+1.0*0.501866316968159+1.0*29.3330650845162+1.5*0.0160883895861106+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.75*0.0154682311502303+1.0*0.288026939309282+1.875*0.0102451205633244+1.5*1.4614251738424+1.0*28.7904826070976+1.984375*5.92879328325965E-4+1.875*0.00257082788077282+1.75*0.00338742677192689+1.75*2.678806489 = 17980.736529665184' final score ~ 17980 reviewer: xxx gave 0
Rendered MathML:
F=1τ2N-2N2cN/2/2+d=1N/2-1cdC,F1τ2N2superscriptN2subscriptcN22superscriptsubscriptd1N21subscriptcdC{\mathbf{F}}=\frac{1}{\tau}\frac{2N-2}{N^{2}(c_{{N/2}}/2+\sum _{{d=1}}^{{N/2-1}}{c_{d}})}{\mathbf{C}},
End of MathML
.

Hit id98385

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 2
  • Formulasearchengine score: 17906
  • Reference to collection: _PREFIX_/140/f055932.xhtml#id98385
found all required tokens in TeX $F(x,u)=\sum _{{j=1}}^{{\infty}}V_{j}(x)|u|^{{2(j_{0}+j)}}u,$ at pos:683614(68%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9375 * WORD_SCORE[ conditions] + 1.5 * TOKEN_SCORE[F] + 1.0 * TOKEN_SCORE[B] + 1.0 * TOKEN_SCORE[bigr] + 1.5 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.875 * TOKEN_SCORE[)] + 1.0 * TOKEN_SCORE[-] + 1.0 * TOKEN_SCORE[prime] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[tau] + 1.0 * TOKEN_SCORE[bigl] + 1.75 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.9375*6.3879740791131+1.5*0.577473350122334+1.0*0.501866316968159+1.0*29.3330650845162+1.5*0.0160883895861106+1.5*0.450727438769192+1.875*0.00418257496311516+1.875*0.00417601612706465+1.0*0.0154682311502303+1.0*0.288026939309282+1.5*0.0102451205633244+1.0*1.4614251738424+1.0*28.7904826070976+1.75*5.92879328325965E-4+1.875*0.00257082788077282+1.75*0.00338742677192689+1.75*2.678806489 = 17906.42051317229' final score ~ 17906 reviewer: xxx gave 0
Rendered MathML:
Fx,u=j=1Vjxu2j0+ju,Fxusuperscriptsubscriptj1subscriptVjxsuperscriptu2subscriptj0juF(x,u)=\sum _{{j=1}}^{{\infty}}V_{j}(x)|u|^{{2(j_{0}+j)}}u,
End of MathML
.

Hit id103476

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 10
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/86/f034054.xhtml#id103476
no match at pos:740012(000072%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
RNB0,ρεFx,u1h,,umhdxεk=1mukhppεC.subscriptsuperscriptRNB0subscriptρεFxsuperscriptsubscriptu1hsuperscriptsubscriptumhdxεsuperscriptsubscriptk1msubscriptsuperscriptsuperscriptsubscriptukhppεC
End of MathML
.

Hit id108722

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 11
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/71/f028195.xhtml#id108722
no match at pos:839736(000091%) VariableMap:[L x 2, , U, ldots, ], \ x 22, left, _ x 3, longrightarrow, ^ x 2, right, [, phi x 4, end, g, c, n x 4, +, ( x 5, ) x 5, . x 2, , x 5, - x 3, begin, prime x 2, 2 x 3, 1 x 3, quad x 4, 0 x 3, s, tau, pi, = x 6, array x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
U=-τ1ϕ0=-ϕL,ϕ0=-ϕLsn=2n+1π,n=0,1,2,gn=2.=U-τ1=⁢ϕ0-⁢ϕL=⁢ϕ′0-⁢ϕ′Lsubscriptsn2n1πn012subscriptgn2.\left\{\begin{array}[]{c}U=-\tau _{1}\\ \phi(0)=-\phi(L),\ \phi^{{\prime}}(0)=-\phi^{{\prime}}(L)\end{array}\right.\quad\longrightarrow\quad s_{n}=(2n+1)\pi,\quad n=0,1,2,\ldots\quad g_{n}=2.
End of MathML
.

Hit id109869

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 12
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f038842.xhtml#id109869
no match at pos:852983(000059%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=HrH-gd-1-gi=1d-11H+HθiθisubscriptHrHgd1gsuperscriptsubscripti1d11HsubscriptHsubscriptθisubscriptθi
End of MathML
.

Hit id110779

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 13
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/107/f042448.xhtml#id110779
no match at pos:853607(000050%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
hx1,ξ,τ=Pe×Rhx1e+x,te-ixξ+tτdxdt,superscripthsubscriptx1superscriptξτsubscriptsubscriptPeRhsubscriptx1esuperscriptxtsuperscripteisuperscriptxsuperscriptξtτdsuperscriptxdt
End of MathML
.

Hit id114329

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 14
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/172/f068723.xhtml#id114329
no match at pos:931638(000047%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
CEηk-1p+Cphj=ki-1EDrηjfyθtjp+Cl=1qEhj=ki-1Drηjfzlθtj2p2CEsuperscriptsubscriptηk1psubscriptCphsuperscriptsubscriptjki1EsuperscriptsubscriptDrsubscriptηjsuperscriptsubscriptfysubscriptθsubscripttjpCsuperscriptsubscriptl1qEsuperscripthsuperscriptsubscriptjki1superscriptsubscriptDrsubscriptηjsubscriptsuperscriptfsubscriptzlsubscriptθsubscripttj2p2
End of MathML
.

Hit id114946

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 15
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/172/f068723.xhtml#id114946
no match at pos:941404(000048%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
CEηk-1p+Chj=ki-1EDrηjfyθtjp+Cl=1qhj=ki-1EDrηjfzlθtjpCEsuperscriptsubscriptηk1pChsuperscriptsubscriptjki1EsuperscriptsubscriptDrsubscriptηjsuperscriptsubscriptfysubscriptθsubscripttjpCsuperscriptsubscriptl1qhsuperscriptsubscriptjki1EsuperscriptsubscriptDrsubscriptηjsubscriptsuperscriptfsubscriptzlsubscriptθsubscripttjp
End of MathML
.

Hit id115080

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 16
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/143/f056935.xhtml#id115080
no match at pos:936490(000057%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
j=1uS+i=1jPi-Qi+Qj!S+i=1jPi-Qi!superscriptsubscriptj1uSsuperscriptsubscripti1jsubscriptPisubscriptQisubscriptQjSsuperscriptsubscripti1jsubscriptPisubscriptQi
End of MathML
.

Hit id115080

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 17
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/99/f039398.xhtml#id115080
no match at pos:921881(000078%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1/θ-θ=1+n=1θ/θn/θ1θsuperscriptθ1superscriptsubscriptn1superscriptsuperscriptθθnθ
End of MathML
.

Hit id115525

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 18
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/172/f068723.xhtml#id115525
no match at pos:950517(000048%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
C1+Eηk-1p+Chj=k+1i-1EDrηjp,C1Esuperscriptsubscriptηk1pChsuperscriptsubscriptjk1i1EsuperscriptsubscriptDrsubscriptηjp
End of MathML
.

Hit id120674

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 19
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/143/f056935.xhtml#id120674
no match at pos:1021172(000062%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
j=1uS+i=1jPi-Qi+Qj!S+i=1jPi-Qi!superscriptsubscriptj1uSsuperscriptsubscripti1jsubscriptPisubscriptQisubscriptQjSsuperscriptsubscripti1jsubscriptPisubscriptQi
End of MathML
.

Hit id123575

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 20
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f039060.xhtml#id123575
no match at pos:1053836(000077%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
KWLL1,L1,φ1M1φ2M1aWL1,Lq,subscriptKWsuperscriptLsuperscriptL1superscriptL1subscriptsubscriptφ1superscriptM1subscriptsubscriptφ2superscriptM1subscriptaWsuperscriptL1superscriptLq
End of MathML
.

Hit id129012

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 21
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/178/f071190.xhtml#id129012
no match at pos:1124975(000058%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
D:=Fν+α=1mWα+Hαred:=DsubscriptsubscriptFνsuperscriptsubscriptα1msubscriptWαsubscriptHαred
End of MathML
.

Hit id132273

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 22
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/2/f000561.xhtml#id132273
no match at pos:1206826(000084%) VariableMap:[tiny, Sh, sum x 3, , ] x 2, \ x 22, _ x 10, ^ x 2, dots x 2, end, [ x 2, f x 2, c, n x 3, + x 4, ( x 13, ) x 13, ., in, , x 6, - x 2, begin, u x 5, 1 x 7, t x 3, s x 8, displaystyle, chi, p x 2, tau x 9, ~ x 2, | x 2, = x 3, <, array x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=s+t=nτShs,nτ1<τs+1-1s+t-1p=1suτpχτfsuτ1,,uτs,ftuτs+1,,uτn.subscriptstnsubscript∈τ⁢Shsn<⁢τ1⁢τ+s1superscript1st1superscriptsubscriptp1ssubscriptuτpχτsubscriptfssubscriptuτ1subscriptuτssubscriptftsubscriptuτs1subscriptuτn\displaystyle=\sum _{{s+t=n}}\sum _{{\tiny\begin{array}[]{c}\tau\in Sh(s,n)\\ \tau(1)<\tau(s+1)\end{array}}}{(-1)^{{s+(t-1)\sum _{{p=1}}^{s}{|u_{{\tau(p)}}|}}}\chi(\tau)[f_{s}(u_{{\tau(1)}},\dots,u_{{\tau(s)}}),f_{t}(u_{{\tau(s+1)}},\dots,u_{{\tau(n)}})]}~~.
End of MathML
.

Hit id134474

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 23
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/127/f050594.xhtml#id134474
no match at pos:1249437(000098%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
SfLd+12dd-1,rkNk-1Fk2d-1dd+1r1/r=kNk-1k-dd+122d-1dd+1r1/rsubscriptSfsuperscriptLd12dd1rsuperscriptsubscriptkNsuperscriptsuperscriptk1superscriptsubscriptFk2d1dd1r1rsuperscriptsubscriptkNsuperscriptsuperscriptk1superscriptkdd122d1dd1r1r
End of MathML
.

Hit id137604

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 24
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/83/f032967.xhtml#id137604
no match at pos:1318384(000082%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
dsdtzst0=0,subscriptdssubscriptdtsubscriptsuperscriptz0st0
End of MathML
.

Hit id142804

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 25
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/221/f088087.xhtml#id142804
no match at pos:1396400(000077%) VariableMap:[ x 3, lambda x 6, dots x 2, rho x 3, & x 4, Phi, int x 5, + x 11, kq, ( x 24, ) x 24, ., partial x 3, , x 8, - x 16, prime x 8, 2 x 11, 1 x 18, 0, 6 x 2, ;, split x 2, pi x 3, = x 10, G x 2, dz x 3, L x 3, sum x 4, I, dfrac x 6, \ x 65, _ x 31, ^ x 20, end, g x 14, d x 2, a x 3, j x 9, k x 8, begin, i x 3, u x 14, quad x 2, t x 2, mathcal x 5, q x 5, z x 12, y x 4, vec x 7, x] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
j=12g+1ujqg-ku-kqg-k+1u=1πiLgρz-azzky+zdz,k=0,,g-2j=12g+1ujq1u-g-1q2u-6t=1πiLgρz-azzg-1y+zdz2j=12g+1ujujq1u+q1u-x-6tj=12g+1uj=2πiLgρz-azzgy+zdzu2ku2k-12y+λΦλ;udλ=IkG+λ-G-λdλ,k=1,,g.superscriptsubscriptj12g1subscriptsubscriptujsubscriptqgkuksubscriptqgk1u1πisubscriptsubscriptLgsuperscriptρzsuperscriptazsuperscriptzksuperscriptyzdzk0g2superscriptsubscriptj12g1subscriptsubscriptujsubscriptq1ug1subscriptq2u6t1πisubscriptsubscriptLgsuperscriptρzsuperscriptazsuperscriptzg1superscriptyzdz2superscriptsubscriptj12g1subscriptujsubscriptsubscriptujsubscriptq1usubscriptq1ux6tsuperscriptsubscriptj12g1subscriptuj2πisubscriptsubscriptLgsuperscriptρzsuperscriptazsuperscriptzgsuperscriptyzdzsuperscriptsubscriptsubscriptu2ksubscriptu2k12superscriptyλΦλudλsubscriptsubscriptIksubscriptsuperscriptGλsubscriptsuperscriptGλdλk1g\begin{split}&\sum _{{j=1}}^{{2g+1}}\partial _{{u_{j}}}q_{{g-k}}({\vec{u}})-kq_{{g-k+1}}({\vec{u}})=\dfrac{1}{\pi i}\int _{{\mathcal{L}_{g}}}\dfrac{(\rho^{{\prime}}(z)-a^{{\prime}}(z))z^{k}}{y^{+}(z)}dz,\quad k=0,\dots,g-2\\ &\sum _{{j=1}}^{{2g+1}}\partial _{{u_{j}}}q_{{1}}({\vec{u}})-(g-1)q_{{2}}({\vec{u}})-6\, t=\dfrac{1}{\pi i}\int _{{\mathcal{L}_{g}}}\dfrac{(\rho^{{\prime}}(z)-a^{{\prime}}(z))z^{{g-1}}}{y^{+}(z)}dz\\ &2\sum _{{j=1}}^{{2g+1}}u_{j}\partial _{{u_{j}}}q_{{1}}({\vec{u}})+q_{{1}}({\vec{u}})-x-6\, t\sum _{{j=1}}^{{2g+1}}u_{j}=\dfrac{2}{\pi i}\int _{{\mathcal{L}_{g}}}\dfrac{(\rho^{{\prime}}(z)-a^{{\prime}}(z))z^{g}}{y^{+}(z)}dz\\ &\int _{{u_{{2k}}}}^{{u_{{2k-1}}}}2y^{+}(\lambda)\Phi(\lambda;{\vec{u}})d\lambda=\int _{{I_{k}}}(\mathcal{G}^{{\prime}}_{+}(\lambda)-\mathcal{G}^{{\prime}}_{-}(\lambda))d\lambda,\quad k=1,\dots,g.\end{split}
End of MathML
.

Hit id156793

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 26
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/107/f042609.xhtml#id156793
no match at pos:1574549(000097%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
σ~2G,ζ=limn1nEπk=0n-1GΞk2.superscript~σ2Gζsubscriptn1nsubscriptEπsuperscriptsuperscriptsubscriptk0n1GsubscriptΞk2
End of MathML
.

Hit id164478

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 27
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/110/f043875.xhtml#id164478
no match at pos:1696386(000055%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2-k/2supaL2=1R×Pel×R2g~k1,j1η1el+η,βhξ,τηk-100ξ1-Mξ1-M+i/2kaξ1+η1,ξ+η,τ+βdξ1dη1dξdηdτdβ.superscript2superscriptk2subscriptsupsubscriptasuperscriptL21subscriptsuperscriptRsubscriptPsubscriptelR2subscript~gsubscriptk1subscriptj1subscriptη1subscriptelsuperscriptηβhsuperscriptξτsubscriptηsuperscriptk100subscriptξ1Msubscriptξ1Misuperscript2superscriptkasubscriptξ1subscriptη1superscriptξsuperscriptητβdsubscriptξ1dsubscriptη1dsuperscriptξdsuperscriptηdτdβ
End of MathML
.

Hit id165273

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 28
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/123/f049057.xhtml#id165273
no match at pos:1730601(000083%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Hn,ζθ=diagλk1+λk3λk-1BkTS~Bk+1+λkk=1r.subscriptHnζθdiagsuperscriptsubscriptsubscriptλksuperscript1subscriptλk3subscriptλk1superscriptsubscriptBkT~SsubscriptBk1subscriptλkk1r
End of MathML
.

Hit id165571

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 29
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/126/f050303.xhtml#id165571
no match at pos:1681306(000084%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
θZnα01α!θαωαpx,ωω=xϕx,ξTneiΨx,y,ξ+x-yθay,z,ξd-ysubscriptθsuperscriptZnsubscriptα01αsuperscriptθαsubscriptsuperscriptsubscriptωαpxωωsubscriptxϕxξsubscriptsuperscriptTnsuperscripteiΨxyξxyθayzξd-y
End of MathML
.

Hit id166079

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 30
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/126/f050303.xhtml#id166079
no match at pos:1688956(000084%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
α01α!ωαpx,ωω=xϕx,ξθZnTnθαeix-yθeiΨx,y,ξay,z,ξd-ysubscriptα01αsubscriptsuperscriptsubscriptωαpxωωsubscriptxϕxξsubscriptθsuperscriptZnsubscriptsuperscriptTnsuperscriptθαsuperscripteixyθsuperscripteiΨxyξayzξd-y
End of MathML
.

Hit id166602

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 31
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/126/f050303.xhtml#id166602
no match at pos:1696776(000085%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
α01α!ωαpx,ωω=xϕx,ξDyαeiΨx,y,ξay,z,ξy=x.subscriptα01αsubscriptsuperscriptsubscriptωαpxωωsubscriptxϕxξsuperscriptsubscriptDyαsubscriptsuperscripteiΨxyξayzξyx
End of MathML
.

Hit id168293

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 32
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/120/f047956.xhtml#id168293
no match at pos:1785103(000088%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-+ψρ,02dρ=-+ψ^σ,02dσ=-+ψρ,02dρ,superscriptsubscriptsuperscriptψρ02dρsuperscriptsubscriptsuperscript^ψσ02dσsuperscriptsubscriptsuperscriptψρ02dρ
End of MathML
.

Hit id172170

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 33
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/245/f097755.xhtml#id172170
no match at pos:1813999(000084%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
sSPψ,Ωψ,j,J,D+A-BsSPϕ,Ωϕ,j,J,D+BaMF2ϕsz2ϕ=h1ϕD+BfMaF1ψsz1ψ=h1ψD+A-BF2ϕsz2ϕ}
End of MathML
.

Hit id179436

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 34
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/24/f009519.xhtml#id179436
no match at pos:1923047(000097%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
RNθ,Yr=θgr,Δh-Ψ*Ψ*θgph+Ψ*θj=1Nl-1ldjlμlgr,ph/l!Ψ*θ~,subscriptsuperscriptRθYNrθgrsubscriptΔhsuperscriptΨsubscriptΨθgsubscriptphsubscriptΨθsuperscriptsubscriptj1Nsubscriptlsuperscript1lsubscriptdjlsuperscriptsubscriptμlgrsubscriptphlsubscriptΨ~θ
End of MathML
.

Hit id190804

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 35
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/3/f001128.xhtml#id190804
no match at pos:2132678(000093%) VariableMap:[g, c, a x 2, sum, ( x 4, ) x 4, j x 5, , x 2, - x 4, frac x 2, prime x 3, 2, 1, pm, epsilon x 4, \ x 12, :, _ x 6, | x 2, ^ x 5, z x 6, = x 2, prod] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
gz,z:=ϵ=±12cϵjz-ajϵjz-aj-ϵjz-z,:=gzsuperscriptzsubscriptϵ±12cϵsubscriptjsuperscriptzsubscriptajsubscriptϵjsuperscriptsuperscriptzsubscriptajsubscriptϵjsuperscriptzzg(z,z^{{\prime}}):=\sum _{{|\epsilon|=\pm\frac{1}{2}}}c(\epsilon)\frac{\prod _{j}(z-a_{j})^{{\epsilon _{j}}}(z^{{\prime}}-a_{j})^{{-\epsilon _{j}}}}{z^{{\prime}}-z},
End of MathML
.

Hit id54256

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 36
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/140/f055836.xhtml#id54256
no match at pos:12256(000002%) VariableMap:[d x 2, dx x 2, ell, +, (, ), - x 2, frac x 2, 1, r, q, p, \ x 3, ^, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 1 Expects 5 occurences for ')' but has only 1 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 3 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 1 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=r-1-ddxpddx+qsuperscriptr1ddxpddxq\ell=r^{{-1}}(-\frac{d}{dx}p\frac{d}{dx}+q)
End of MathML
.

Hit id55710

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 37
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/235/f093837.xhtml#id55710
no match at pos:33814(000003%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
uεtL2=a0L2,12εxuεtL22+εασ+1uεtL2σ+22σ+2=const.=O1ε012xa0L22.=⁢uεtL2a0L212+⁢ε∇xuεtL22⁢εα+σ1⁢uεtL+⁢2σ2+⁢2σ2=const.=⁢O1∼→ε0⁢12⁢xa0L22
End of MathML
.

Hit id57173

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 38
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/124/f049311.xhtml#id57173
no match at pos:61707(000007%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Lτ=BSτB+g-1BSτF;Sτ-1=F-LτBSτF+r.subscriptLτsuperscriptsuperscriptBsubscriptSτBg1superscriptBsubscriptSτFsubscriptSτ1superscriptFsubscriptsuperscriptLτsuperscriptBsubscriptSτFr
End of MathML
.

Hit id57358

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 39
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/83/f032939.xhtml#id57358
no match at pos:59034(000016%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
k=132hek2sin2θ+22hekhμk-hτkcos2θ-hτk-hμk2sin2θ=0,superscriptsubscriptk132superscriptsubscripthek22θ22subscriptheksubscripthμksubscripthτk2θsuperscriptsubscripthτksubscripthμk22θ0
End of MathML
.

Hit id58167

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 40
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/83/f032939.xhtml#id58167
no match at pos:71332(000020%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
m1=k=13hek2cos2θ+12sin2θhekhτk-hμk+12sin2θhτk-hμk2Λk,subscriptm1superscriptsubscriptk13superscriptsubscripthek2superscript2θ122θsubscriptheksubscripthτksubscripthμk12superscript2θsuperscriptsubscripthτksubscripthμk2subscriptΛk
End of MathML
.

Hit id59280

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 41
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063884.xhtml#id59280
no match at pos:88928(000012%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
β3=DA2β3βt=1At-1(Dβt-k=3t-1(Ck-1k-2Ak-2Bβt+2-k+Ck-1k-3Ak-3B2i1=k+2tβt+3-i1βi1+1-k++Ck-1k-4Ak-4B3i2=k+3ti1=k+3i2βt+3-i2βi2+3-i1βi1-k+++Ck-11ABk-2ik-3=2k-2tik-4=2k-2ik-3i1=2k-2i2βt+3-ik-3βik-3+3-ik-4βi2+3-i1βi1+5-2k++Bk-1ik-2=2k-1tik-3=2k-1ik-2.i1=2k-1i2βt+3-ik-2βik-2+3-ik-3.βi2+3-i1βi1+4-2k)βk),=β′3⁢DA2β3β′t=1A-t1(Dβt-∑=k3-t1(C-k1-k2A-k2Bβ-+t2k+C-k1-k3A-k3B2∑=i1+k2tβ-+t3i1⋅β-+i11k+++⁢C-k1-k4A-k4B3∑=i2+k3t∑=i1+k3i2⋅β-+t3i2β-+i23i1β-i1k…++⁢C-k11AB-k2∑=i-k3-⁢2k2t∑=i-k4-⁢2k2i-k3⁢…∑=i1-⁢2k2i2⁢β-+t3i-k3β-+i-k33i-k4…β-+i23i1β-+i15⁢2k++B-k1∑=i-k2-⁢2k1t∑=i-k3-⁢2k1i-k2….∑=i1-⁢2k1i2β-+t3i-k2β-+i-k23i-k3….β-+i23i1β-+i14⁢2k)β′k),
End of MathML
.

Hit id59822

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 42
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/49/f019553.xhtml#id59822
no match at pos:91923(000024%) VariableMap:[B x 2, sum, infty, ] x 2, \ x 8, left, _ x 3, ^ x 4, right, [ x 2, b, a x 2, + x 3, ( x 4, ) x 4, k x 7, - x 4, frac, w, prime, 2, 1 x 3, u x 2, displaystyle, bar, z, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+k=11-Bk+uak-1+Bk-ub-ka2kz¯wksuperscriptsubscriptk11Bkusubscriptsuperscriptak1Bkusubscriptbksuperscripta2ksuperscript¯zwk\displaystyle+\sum _{{k=1}}^{{\infty}}\left([(1-B)k+u]a^{{\prime}}_{k}-\frac{[(1+B)k-u]b_{{-k}}}{a^{{2k}}}\right)(\bar{z}w)^{k}
End of MathML
.

Hit id60009

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 43
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/247/f098550.xhtml#id60009
no match at pos:99816(000013%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Ea,hu:=j=-N+1NhϕFuj-uj-1h+12ϕF′′uj-uj-1h2+ϕ2Fuj-uj-2h+12ϕ2F′′uj-uj-2h2,:=superscriptEahusuperscriptsubscriptjN1NhsubscriptsuperscriptϕFsubscriptujsubscriptuj1h12subscriptsuperscriptϕ′′Fsuperscriptsubscriptujsubscriptuj1h2subscriptsuperscriptϕ2Fsubscriptujsubscriptuj2h12subscriptsuperscriptϕ′′2Fsuperscriptsubscriptujsubscriptuj2h2
End of MathML
.

Hit id60159

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 44
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/49/f019553.xhtml#id60159
no match at pos:97212(000025%) VariableMap:[B x 2, sum, infty, ] x 2, \ x 8, left, _ x 3, ^ x 4, right, [ x 2, b, a x 2, + x 3, ( x 4, ) x 4, k x 7, - x 4, frac, w, prime, 2, 1 x 3, u x 2, displaystyle, bar, z, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+k=11+Bk+uak-1-Bk-ub-ka2kzw¯ksuperscriptsubscriptk11Bkusubscriptak1Bkusubscriptsuperscriptbksuperscripta2ksuperscriptz¯wk\displaystyle+\sum _{{k=1}}^{{\infty}}\left([(1+B)k+u]a_{k}-\frac{[(1-B)k-u]b^{{\prime}}_{{-k}}}{a^{{2k}}}\right)(z\bar{w})^{k}
End of MathML
.

Hit id60510

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 45
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038229.xhtml#id60510
no match at pos:106878(000009%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
r=s=2rs2
End of MathML
.

Hit id60743

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 46
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/110/f043724.xhtml#id60743
no match at pos:112758(000009%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Br={zC;|z|<r}
End of MathML
.

Hit id61158

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 47
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063884.xhtml#id61158
no match at pos:111876(000015%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
βn=BDγAn+1An-1(Dβn-k=3n-1(Ck-1k-2Ak-2Bβn+2-k+Ck-1k-3Ak-3B2i1=k+2nβn+3-i1βi1+1-k++Ck-1k-4Ak-4B3i2=k+3ni1=k+3i2βn+3-i2βi2+3-i1βi1-k+++Ck-11ABk-2ik-3=2k-2nik-4=2k-2ik-3i1=2k-2i2βn+3-ik-3βik-3+3-ik-4βi2+3-i1βi1+5-2k++Bk-1ik-2=2k-1nik-3=2k-1ik-2.i1=2k-1i2βn+3-ik-2βik-2+3-ik-3.βi2+3-i1βi1+4-2k)βk),γ=D2Anγβ′n=⁢BDγAn+1A-n1(Dβn-∑=k3-n1(C-k1-k2A-k2Bβ-+n2k+C-k1-k3A-k3B2∑=i1+k2nβ-+n3i1⋅β-+i11k+++⁢C-k1-k4A-k4B3∑=i2+k3n∑=i1+k3i2⋅β-+n3i2β-+i23i1β-i1k…++⁢C-k11AB-k2∑=i-k3-⁢2k2n∑=i-k4-⁢2k2i-k3⁢…∑=i1-⁢2k2i2⁢β-+n3i-k3β-+i-k33i-k4…β-+i23i1β-+i15⁢2k++B-k1∑=i-k2-⁢2k1n∑=i-k3-⁢2k1i-k2….∑=i1-⁢2k1i2β-+n3i-k2β-+i-k23i-k3….β-+i23i1β-+i14⁢2k)β′k),=γ′⁢D2Anγ
End of MathML
.

Hit id61248

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 48
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/52/f020567.xhtml#id61248
no match at pos:116463(000010%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
s2:=Varξ1,σ2:=VarY1.:=superscripts2Varsubscriptξ1:=superscriptσ2VarsubscriptY1
End of MathML
.

Hit id62844

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 49
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/158/f062869.xhtml#id62844
no match at pos:132744(000017%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
B+B-,B--1B+n=k=12nRakB--1B+n.subscriptBsubscriptBsuperscriptsuperscriptsubscriptB1subscriptBnsuperscriptsubscriptk12nRsubscriptaksuperscriptsuperscriptsubscriptB1subscriptBn
End of MathML
.

Hit id63146

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 50
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/33/f013018.xhtml#id63146
no match at pos:146197(000058%) VariableMap:[lT, Phi x 4, A x 7, B x 6, n x 2, + x 3, sum x 3, cot x 2, ( x 3, ) x 3, , x 4, - x 2, frac, 2, 1 x 3, displaystyle, Big x 2, tau, \ x 14, _ x 6, ^ x 7, = x 2, y x 2, < x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Φ,(A)A+B<AΦBcotyB=1n-1lT,τ+A=2n-1Φ,AA+B<AΦBcotyB,subscriptsuperscriptΦA,(A)subscriptBAsuperscriptΦBsuperscriptyB1n1lsubscriptTsuperscriptsubscriptA2n1subscriptsuperscriptΦA,AsubscriptBAsuperscriptΦBsuperscriptyB\displaystyle\Phi^{A}_{{,(A)}}+\sum _{{B<A}}\Phi^{B}\cot y^{B}=\frac{1}{n-1}\Big(lT_{{,\tau}}+\sum _{{A=2}}^{{n-1}}(\Phi^{A}_{{,A}}+\sum _{{B<A}}\Phi^{B}\cot y^{B})\Big),
End of MathML
.

Hit id63458

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 51
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/48/f018844.xhtml#id63458
no match at pos:150364(000013%) VariableMap:[min, to, c, lim, a x 6, n x 2, +, ( x 3, ) x 3, ., widehat, oplus, , x 4, - x 2, prime x 3, 2, 1 x 3, ; x 3, \ x 13, _ x 2, | x 2, ^ x 4, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 3 occurences for '_' but has only 2 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
limc1a,a=n=1mina,aa-a+2n-1^.subscriptc1asuperscriptasuperscriptsubscriptn1asuperscripta^asuperscripta2n1\lim _{{c\to 1}}\;(a,a^{{\prime}})=\oplus _{{n=1}}^{{\min(a,a^{{\prime}})}}\;(\,\widehat{|a{-}a^{{\prime}}|{+}2n{-}1}\,)\;.
End of MathML
.

Hit id64689

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 52
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/94/f037277.xhtml#id64689
no match at pos:164288(000031%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
α1=12i=26ωiωi+5,α2=12ω1ω2+i=811ωiωi+4,α3=12ω1ω7-i=36ωiωi+9,α4=14i=26ωi2-ωi+52,α5=14ω12-2ω22-2ω72+i=111ωi2-2i=1215ωi2,α6=b1s-i=27biωi-1,α7=b1ω1+b2s-i=37biωi+4,α8=2b1ω2+b2ω7+b3s-i=47biωi+8,β=i=17bi2,γ=β+s2+142ω12+ω22+ω72+i=215ωi2+i=1215ωi2,δ=142s2+ω12+i=211ωi2.=α1⁢12∑=i26⁢ωiω+i5=α2⁢12+⁢ω1ω2∑=i811⁢ωiω+i4=α3⁢12-⁢ω1ω7∑=i36⁢ωiω+i9=α4⁢14∑=i26-ωi2ω+i52=α5⁢14-+-ω12⁢2ω22⁢2ω72∑=i111ωi2⁢2∑=i1215ωi2=α6-⁢b′1s′∑=i27⁢b′iω-i1=α7-+⁢b′1ω1⁢b′2s′∑=i37⁢b′iω+i4=α8⁢2-+⁢b′1ω2⁢b′2ω7⁢b′3s′∑=i47⁢b′iω+i8=β∑=i17bi′2=γ+βs′2⁢14+⁢2+ω12ω22ω72∑=i215ωi2∑=i1215ωi2=δ⁢14+⁢2+s′2ω12∑=i211ωi2
End of MathML
.

Hit id64920

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 53
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/25/f009918.xhtml#id64920
no match at pos:169153(000050%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=2χ1χ1jj+i=1dχij2c4c6+γ-1χ12c2χjj+i=1dχij2+χ1χ1jjc62subscriptχ1subscriptχ1jjsuperscriptsubscripti1dsuperscriptsubscriptχij2superscriptc4superscriptc6γ1superscriptsubscriptχ12superscriptc2subscriptχjjsuperscriptsubscripti1dsuperscriptsubscriptχij2subscriptχ1subscriptχ1jjsuperscriptc6
End of MathML
.

Hit id65557

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 54
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/84/f033534.xhtml#id65557
no match at pos:183782(000060%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Wn-1W=0superscriptWn1W0
End of MathML
.

Hit id66689

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 55
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/120/f047785.xhtml#id66689
no match at pos:207852(000046%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Ee-2th0;1/2vHtωEsuperscripte2tsubscripth012vsubscriptHtω
End of MathML
.

Hit id68330

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 56
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/232/f092743.xhtml#id68330
no match at pos:218904(000058%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
sn=k=1naksubscriptsnsuperscriptsubscriptk1nsubscriptak
End of MathML
.

Hit id68838

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 57
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/229/f091336.xhtml#id68838
no match at pos:227168(000015%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ψϕyx=zMψyxϕzxsubscriptsuperscriptψϕxysubscriptzMsuperscriptsubscriptψyxsuperscriptsubscriptϕzx
End of MathML
.

Hit id70318

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 58
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/31/f012330.xhtml#id70318
no match at pos:263386(000037%) VariableMap:[D x 2, dagger, sum, infty, sigma x 2, alpha, \ x 17, _ x 8, ^ x 8, e x 4, sqrt x 2, a x 2, n x 6, + x 2, ( x 2, ) x 2, in x 2, omega x 3, frac x 2, i x 5, - x 3, prime, 2, 1 x 2, displaystyle, tau x 2, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+iα2n=11ωnaniDe-iωnτ+aniDeiωnτeinσ-e-inσisuperscriptα2superscriptsubscriptn11subscriptωnsuperscriptsubscriptansubscriptiDsuperscripteisubscriptωnτsuperscriptsubscriptansubscriptiDsuperscripteisubscriptωnτsuperscripteinσsuperscripteinσ\displaystyle+i\sqrt{\frac{\alpha^{{\prime}}}{2}}\sum _{{n=1}}^{\infty}\frac{1}{\sqrt{\omega _{n}}}(a_{n}^{{i_{D}}}e^{{-i\omega _{n}\tau}}+a_{n}^{{i_{D}\dagger}}e^{{i\omega _{n}\tau}})(e^{{in\sigma}}-e^{{-in\sigma}})
End of MathML
.

Hit id70340

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 59
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/77/f030639.xhtml#id70340
no match at pos:269455(000044%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
HA=rArd-2subscriptHAsuperscriptsubscriptrAsubscriptrd2
End of MathML
.

Hit id71294

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 60
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/38/f014974.xhtml#id71294
no match at pos:267403(000041%) VariableMap:[lVert x 3, sum x 2, neq x 3, infty, rVert x 3, S x 3, \ x 25, _ x 12, left x 4, ^ x 4, dots x 2, right x 4, max, leq, n x 4, + x 2, ( x 2, ) x 2, /, i x 6, 2 x 7, 1 x 6, displaystyle, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1+n=12n+1maxSii1i2inSi122Sin221/21superscriptsubscriptn12n1subscriptSisuperscriptsubscriptsubscripti1subscripti2subscriptinsuperscriptsubscriptsubscriptSsubscripti122superscriptsubscriptsubscriptSsubscriptin2212\displaystyle\leq 1+\sum _{{n=1}}^{\infty}(2n+1)\max\left\lVert S_{i}\right\rVert\left(\sum _{{i_{1}\neq i_{2}\neq\dots\neq i_{n}}}\left\lVert S_{{i_{1}}}\right\rVert _{2}^{2}\dots\left\lVert S_{{i_{n}}}\right\rVert _{2}^{2}\right)^{{1/2}}
End of MathML
.

Hit id71378

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 61
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/108/f042951.xhtml#id71378
no match at pos:270455(000045%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
AF2H2+2F2H2-2F1H1=0,F2H1-2F3+F4H1=0.=-+⁢AF2H2′⁢2F2H2⁢2F1H10=-⁢F2H1′⁢2+F3F4H10.
End of MathML
.

Hit id72513

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 62
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/211/f084040.xhtml#id72513
no match at pos:315735(000032%) VariableMap:[* x 3, n x 12, + x 3, sum x 2, ( x 2, ) x 2, infty, ,, - x 5, varepsilon x 6, prime x 8, 1, 0 x 2, displaystyle, \ x 22, _ x 8, left x 2, ^ x 13, right x 2, = x 3] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=0nεn-nε-n*+n=1εn+nεn*+ε-nε-n-n*=0,superscriptsubscriptsuperscriptn0nsubscriptεnsuperscriptnsuperscriptsubscriptεsuperscriptnsuperscriptsubscriptsuperscriptn1subscriptεnsuperscriptnsuperscriptsubscriptεsuperscriptnsubscriptεsuperscriptnsuperscriptsubscriptεnsuperscriptn0\displaystyle\sum _{{n^{{\prime}}=0}}^{{n}}\left(\varepsilon _{{n-n^{{\prime}}}}\varepsilon _{{-n^{{\prime}}}}^{*}\right)+\sum _{{n^{{\prime}}=1}}^{{\infty}}\left(\varepsilon _{{n+n^{{\prime}}}}\varepsilon _{{n^{{\prime}}}}^{*}+\varepsilon _{{-n^{{\prime}}}}\varepsilon _{{-n-n^{{\prime}}}}^{*}\right)=0,
End of MathML
.

Hit id73338

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 63
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/184/f073332.xhtml#id73338
no match at pos:300722(000023%) VariableMap:[tilde, e, ix x 2, ( x 2, ) x 2, /, W x 2, ie, \, ^ x 2, =, x] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 1 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
W~x=Weix/ieix~WxWsuperscripteixisuperscripteix\tilde{W}(x)=W(e^{{ix}})/ie^{{ix}}
End of MathML
.

Hit id73706

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 64
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/175/f069815.xhtml#id73706
no match at pos:302004(000036%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
cFij¯x+xBrcFijydyyn+1+x-nBrFijydy.c¯subscriptFijxxsubscriptsuperscriptsubscriptBrcsubscriptFijydysuperscriptyn1superscriptxnsubscriptsubscriptBrsubscriptFijydy
End of MathML
.

Hit id75063

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 65
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/209/f083504.xhtml#id75063
no match at pos:338587(000036%) VariableMap:[1, Phi, \ x 2, _, infty, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 2 Expects 3 occurences for '_' but has only 1 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Φ=1subscriptΦ1\Phi _{\infty}=1
End of MathML
.

Hit id76401

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 66
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/168/f066909.xhtml#id76401
no match at pos:357785(000065%) VariableMap:[tilde x 2, theta x 10, aligned x 2, sum x 2, , I x 4, infty x 4, sigma x 8, \ x 60, _ x 12, ^ x 20, end, e x 8, & x 2, c x 2, n x 12, + x 14, mu x 4, ( x 6, Omega x 4, ) x 6, in x 4, omega x 4, , x 8, i x 4, begin, - x 14, 2 x 3, 1 x 5, displaystyle x 4, Big x 4, tau x 4, = x 4] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
θ1=1+ΩIθ+eμσ+1-ΩIθ-e-μσ+n=-+cnθn1e-iωnτ-inσ+θ~n1e-iωnτ+inσ,θ2=Ω+Iθ+eμσ+Ω-Iθ-e-μσ+n=-+cnθn2e-iωnτ-inσ+θ~n2e-iωnτ+inσ,θ1=+⁢+1⁢ΩIθ+e⁢μσ⁢-1⁢ΩIθ-e-⁢μσ∑=n-∞+∞⁢cn+⁢θ1ne--⁢iωnτ⁢inσ⁢~θ1ne+-⁢iωnτ⁢inσθ2=+⁢+ΩIθ+e⁢μσ⁢-ΩIθ-e-⁢μσ∑=n-∞+∞⁢cn+⁢θ2ne--⁢iωnτ⁢inσ⁢~θ2ne+-⁢iωnτ⁢inσ\begin{aligned}\displaystyle\theta^{1}&\displaystyle=(1+\Omega I)\,\theta^{+}e^{{\mu\sigma}}+(1-\Omega I)\,\theta^{-}e^{{-\mu\sigma}}+\sum _{{n=-\infty}}^{{+\infty}}c_{n}\Big(\theta^{1}_{n}e^{{-i\omega _{n}\tau-in\sigma}}+\tilde{\theta}^{1}_{n}e^{{-i\omega _{n}\tau+in\sigma}}\Big)\,,\\ \displaystyle\theta^{2}&\displaystyle=(\Omega+I)\,\theta^{+}e^{{\mu\sigma}}+(\Omega-I)\,\theta^{-}e^{{-\mu\sigma}}+\sum _{{n=-\infty}}^{{+\infty}}c_{n}\Big(\theta^{2}_{n}e^{{-i\omega _{n}\tau-in\sigma}}+\tilde{\theta}^{2}_{n}e^{{-i\omega _{n}\tau+in\sigma}}\Big)\,,\end{aligned}
End of MathML
.

Hit id78289

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 67
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063766.xhtml#id78289
no match at pos:395776(000088%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
sin2β=-2BμmC12+mC22+2μ2.2β2BμsuperscriptsubscriptmsubscriptC12superscriptsubscriptmsubscriptC222superscriptμ2
End of MathML
.

Hit id78929

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 68
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/68/f027051.xhtml#id78929
no match at pos:377559(000058%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
P~FHs-μ2=P~i,γφi,γFHs-μ23Ni=1NP~γφi,γFHs-μ2=(*)i,γP~φi,γFHs-μ2P2i,γφi,γFHs2=DefFHs2.~PsubscriptsuperscriptF2superscriptHsμ~PsubscriptiγsubscriptφiγsubscriptsuperscriptF2superscriptHsμsuperscriptsuperscript3Nsuperscriptsubscripti1N~PsubscriptγsubscriptφiγsubscriptsuperscriptF2superscriptHsμsuperscript(*)subscriptiγ~PsubscriptφiγsubscriptsuperscriptF2superscriptHsμsuperscriptsuperscriptP2subscriptiγsubscriptφiγsubscriptsuperscriptF2superscriptHssuperscriptDefsubscriptsuperscriptF2superscriptHs
End of MathML
.

Hit id79702

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 69
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/33/f013147.xhtml#id79702
no match at pos:398421(000043%) VariableMap:[subseteq, geq, c, B, ( x 5, ) x 5, ., forall, in, , x 2, subset, qquad, 2, 1, t x 4, V x 2, 0 x 2, mathcal, \ x 10, _ x 4, zeta x 2, phi, x] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ζtVζtVx0Bϕ1,c2,tt0.ζtVζtVsubscriptx0Bsubscriptϕ1subscriptc2tsubscriptt0\zeta(t)\in V(\zeta(t))\subseteq V(x_{0})\subset{\mathcal{B}}(\phi _{1},c_{2}),\qquad\forall t\geq t_{0}.
End of MathML
.

Hit id82592

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 70
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/7/f002643.xhtml#id82592
no match at pos:444015(000062%) VariableMap:[d x 2, leq, a, ( x 4, cdot, ) x 4, , x 2, 2 x 2, 1 x 2, \ x 4, _ x 6, Y, X, phi x 2, x x 4] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 4 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
dYϕx1,ϕx2adXx1,x2subscriptYϕsubscriptx1ϕsubscriptx2asubscriptXsubscriptx1subscriptx2d_{{Y}}(\phi(x_{{1}}),\phi(x_{{2}}))\leq a\cdot d_{{X}}(x_{{1}},x_{{2}})
End of MathML
.

Hit id82837

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 71
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/7/f002643.xhtml#id82837
no match at pos:447652(000063%) VariableMap:[d x 2, b, leq, ( x 4, cdot, ) x 4, , x 2, 2 x 2, 1 x 2, psi x 2, \ x 4, _ x 6, Y, X, y x 4] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 4 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
dXψy1,ψy2bdYy1,y2subscriptXψsubscripty1ψsubscripty2bsubscriptYsubscripty1subscripty2d_{{X}}(\psi(y_{{1}}),\psi(y_{{2}}))\leq b\cdot d_{{Y}}(y_{{1}},y_{{2}})
End of MathML
.

Hit id84123

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 72
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038322.xhtml#id84123
no match at pos:467310(000031%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n2cnRec1subscriptn2subscriptcnResubscriptc1
End of MathML
.

Hit id85234

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 73
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f039060.xhtml#id85234
no match at pos:469328(000034%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
φM1RdφsuperscriptM1superscriptRd
End of MathML
.

Hit id85522

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 74
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/190/f075656.xhtml#id85522
no match at pos:478278(000044%) VariableMap:[min, d x 2, b, a, n x 2, +, sum x 2, j x 4, , x 3, i, 3 x 2, 2 x 2, 1, \ x 4, _ x 6, ^ x 2, = x 2, <] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 4 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
a+b<minj=in2dj,2,j=1n3dj,3abminsuperscriptsubscriptjisubscriptn2subscriptdj2superscriptsubscriptj1subscriptn3subscriptdj3a+b<min\{\sum _{{j=i}}^{{n_{2}}}{d_{{j,2}}},\sum _{{j=1}}^{{n_{3}}}{d_{{j,3}}}\}
End of MathML
.

Hit id87004

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 75
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/230/f091605.xhtml#id87004
no match at pos:503321(000057%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
R01±iεf22=18πεR60x-yfxf¯yx-y1+iεeiτ1+iε+1-iεe-iτ1-iεdτdxdy=18πiεR6fxf¯yx-yeix-y1+iε-e-ix-y1-iεdxdy⁢R0±1⁢iεf22=⁢1⁢8πε∬R6∫0-xy⁢⁢fx¯fy-xy+⁢+1⁢iεe⁢iτ+1⁢iε⁢-1⁢iεe-⁢iτ-1⁢iεdτdxdy=⁢1⁢8πiε∬R6⁢⁢fx¯fy-xy-e⁢i-xy+1⁢iεe-⁢i-xy-1⁢iεdxdy
End of MathML
.

Hit id87036

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 76
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/210/f083670.xhtml#id87036
no match at pos:511163(000025%) VariableMap:[u, tilde, 0, \, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 1 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
u~=0~u0\tilde{u}=0
End of MathML
.

Hit id87076

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 77
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/210/f083670.xhtml#id87076
no match at pos:511798(000025%) VariableMap:[L, pm, \, =, x] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 1 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x=±Lx±Lx=\pm L
End of MathML
.

Hit id87113

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 78
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/210/f083670.xhtml#id87113
no match at pos:512392(000025%) VariableMap:[prime, L, pm, \ x 2, ^, =, y] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 2 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 1 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
y=±Ly±superscriptLy=\pm L^{{\prime}}
End of MathML
.

Hit id87203

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 79
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/210/f083670.xhtml#id87203
no match at pos:513697(000025%) VariableMap:[a x 2, delta x 2, L x 3, +, ( x 3, Psi, ) x 3, ., , x 3, frac x 3, prime x 2, 2 x 4, v x 2, 1, quad x 2, alpha, \ x 21, pm x 8, left, _, ^ x 6, right, y x 3, = x 2, x] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 3 occurences for '_' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
v±±L,y=y±δ2+α2aΨ1,2±yav±x,±L=±L±δ2.superscriptv±±Ly±yδ2superscriptα2asubscriptsuperscriptΨ±12yasuperscriptv±x±superscriptL±±superscriptLδ2v^{{\pm}}(\pm L,y)=y\pm\frac{\delta}{2}+\alpha^{2}a\Psi^{{\pm}}_{{1,2}}\left(\frac{y}{a}\right)\quad\quad v^{{\pm}}(x,\pm L^{{\prime}})=\pm L^{{\prime}}\pm\frac{\delta}{2}.
End of MathML
.

Hit id87528

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 80
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f039060.xhtml#id87528
no match at pos:503503(000037%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
fWFLq,LqφM1fWLq,LqφM1fWL,LqφM1.subscriptfWFsuperscriptLqsuperscriptLqsubscriptφsuperscriptM1subscriptfWsuperscriptLsuperscriptqsuperscriptLqsubscriptφsuperscriptM1subscriptfWsuperscriptLsuperscriptLqsubscriptφsuperscriptM1
End of MathML
.

Hit id90108

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 81
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/94/f037456.xhtml#id90108
no match at pos:551114(000070%) VariableMap:[] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 0 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
z~k=l=0N-1B-1lkzl,k=0,,N-1subscript~zksuperscriptsubscriptl0N1subscriptsuperscriptB1lksubscriptzlk0N1
End of MathML
.

Hit id96298

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 82
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/1/f000029.xhtml#id96298
no match at pos:655880(000043%) VariableMap:[Phi x 2, tau, a x 2, +, \ x 3, _, ( x 2, ) x 2, X x 2, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 3 Expects 3 occurences for '_' but has only 1 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ΦX+a=τaΦXΦXasubscriptτaΦX\Phi(X+a)=\tau _{a}\Phi(X)
End of MathML
.

Hit id96813

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 83
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/49/f019578.xhtml#id96813
no match at pos:648326(000043%) VariableMap:[+, sum, mu, ( x 2, ) x 2, omega x 2, infty x 2, i x 4, frac, prime, 2 x 2, 1 x 3, displaystyle, q, \ x 15, left x 3, _ x 4, | x 2, ^ x 4, right x 3, =, <] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
i=11μi1+ωi2qωi2<superscriptsubscripti11subscriptμi1subscriptsuperscriptω2isuperscriptsuperscriptqsubscriptωi2\displaystyle\sum _{{i=1}}^{\infty}\frac{1}{\mu _{i}\left(1+\omega^{2}_{i}\right)\left|q^{{\prime}}\left(\omega _{i}\right)\right|^{2}}<\infty
End of MathML
.

Hit idp19211872

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 84
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/128/f051147.xhtml#idp19211872
no match at pos:2453175(000063%) VariableMap:[to, nu x 2, xrightarrow, B x 4, kappa, sum x 2, H, rfloor x 2, infty, ], \ x 22, _ x 16, ^ x 5, ds, [, g x 4, text, int, a, ell x 3, delta x 2, n, wedge, rangle, ( x 8, ) x 8, langle, . x 3, j x 3, k x 4, , x 2, - x 2, 3, 2, u x 2, 1 x 4, 0, t x 2, s x 3, lfloor x 2, 6, p x 4, EuFrak, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
6j=1nup=1nukgp(B(tj-1))gk(B(t-1))δ,δjH3a.s.κ20upukgp(B(s))gk(B(s))ds.a.s.n6superscriptsubscriptj1nsubscriptupsuperscriptsubscript1nsubscriptuksubscriptgpBsubscripttj1subscriptgkBsubscriptt1superscriptsubscriptsubscriptδsubscriptδjH3superscriptκ2superscriptsubscript0subscriptupsubscriptuksubscriptgpBssubscriptgkBsds6\sum _{{j=1}}^{{\lfloor nu_{p}\rfloor}}\sum _{{\ell=1}}^{{\lfloor nu_{k}\rfloor}}g_{p}(B(t_{{j-1}}))g_{k}(B(t_{{\ell-1}}))\langle\delta _{\ell},\delta _{j}\rangle _{\EuFrak{H}}^{3}\xrightarrow[n\to\infty]{\text{a.s.}}\kappa^{2}\int _{0}^{{u_{p}\wedge u_{k}}}g_{p}(B(s))g_{k}(B(s))\, ds.
End of MathML
.

Hit idp19311904

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 85
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/128/f051147.xhtml#idp19311904
no match at pos:2466687(000063%) VariableMap:[nu x 2, xrightarrow, xi x 2, kappa, , text x 2, $ x 2, int, ell x 3, delta x 2, ( x 10, ) x 10, langle, ., , x 10, - x 2, 3, 2, 1 x 6, 0, 6, = x 4, mathbb x 5, B x 4, sum x 2, rfloor x 2, H, infty, ldots x 2, V x 2, times x 2, R x 3, ], \ x 40, _ x 20, Law, ^ x 7, bigg x 4, ds, [, g x 4, d, n, wedge, rangle, m x 3, j x 3, in, k x 6, u x 2, quad, t x 2, s x 2, lfloor x 2, p x 4, EuFrak] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
(Vn,ξ,6j=1nup=1nukgp(B(tj-1))gk(B(t-1))δ,δjH3)k=1,,mLaw(V,ξ,κ20upukgp(B(s))gk(B(s))ds)k=1,,min .LawsubscriptsubscriptVnξ6superscriptsubscriptj1nsubscriptupsuperscriptsubscript1nsubscriptuksubscriptgpBsubscripttj1subscriptgkBsubscriptt1superscriptsubscriptsubscriptδsubscriptδjH3k1msubscriptsubscriptVξsuperscriptκ2superscriptsubscript0subscriptupsubscriptuksubscriptgpBssubscriptgkBsdsk1min Rd×R×RmsuperscriptRdRsuperscriptRm\mathbb{R}^{d}\times\mathbb{R}\times\mathbb{R}^{m}\bigg(\mathbb{V}_{n},\xi,6\sum _{{j=1}}^{{\lfloor nu_{p}\rfloor}}\sum _{{\ell=1}}^{{\lfloor nu_{k}\rfloor}}g_{p}(B(t_{{j-1}}))g_{k}(B(t_{{\ell-1}}))\langle\delta _{\ell},\delta _{j}\rangle _{\EuFrak{H}}^{3}\bigg)_{{k=1,\ldots,m}}\\ \xrightarrow[]{\text{Law}}\bigg(\mathbb{V}_{\infty},\xi,\kappa^{2}\int _{0}^{{u_{p}\wedge u_{k}}}g_{p}(B(s))g_{k}(B(s))\, ds\bigg)_{{k=1,\ldots,m}}\quad\text{in $\mathbb{R}^{d}\times\mathbb{R}\times\mathbb{R}^{m}$}.
End of MathML
.

Hit idp21304608

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 86
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/14/f005493.xhtml#idp21304608
no match at pos:219047(000018%) VariableMap:[to, cccl, B, N, , I, varepsilon x 3, times, S, alpha x 2, ], \ x 16, left, _ x 8, right, end, [, f, & x 6, mapsto, + x 2, ( x 6, ) x 6, h, , x 4, begin, 2 x 2, 1 x 2, s x 5, r, :, Lambda, y x 4, array x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
fε:I×SΛε(s,y1,y2)r(s)+εh(s)(y1Nα(s)+y2Bα(s)),:fε×IS→Λεsy1y2↦+⁢rs⁢εhs+⁢y1Nαs⁢y2Bαs\begin{array}[]{cccl}f_{\varepsilon}:&I\times S&\to&\Lambda _{\varepsilon}\\ &(s,y_{1},y_{2})&\mapsto&r(s)+\varepsilon\, h(s)\left(y_{1}N_{\alpha}(s)+y_{2}B_{\alpha}(s)\right),\end{array}
End of MathML
.

Hit idp2182736

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 87
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/114/f045495.xhtml#idp2182736
no match at pos:271471(000030%) VariableMap:[#, text, G, or K, \ x 2, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 2 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
#=G or K#G or K\#=\text{G or K}
End of MathML
.

Hit idp2191424

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 88
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/114/f045495.xhtml#idp2191424
no match at pos:272717(000031%) VariableMap:[#, text, G, or, \ x 2, =, K] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 0 Expects 5 occurences for ')' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 2 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
#=G or K#G or K\#=\text{G or K}
End of MathML
.

Hit idp23568512

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 89
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/202/f080428.xhtml#idp23568512
no match at pos:523860(000036%) VariableMap:[0, ell x 2, inf, \ x 6, (, colon, _ x 2, ), m, z, y x 2, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 1 Expects 5 occurences for ')' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 3 occurences for '_' but has only 2 Expects 2 occurences for '^' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
z=inf{y:m(y)=0}subscriptzinfimumconditional-setysubscriptmy0z_{\ell}=\inf\{ y\colon m_{\ell}(y)=0\}
End of MathML
.

Hit idp23582720

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 90
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/202/f080428.xhtml#idp23582720
no match at pos:525765(000036%) VariableMap:[widetilde, ell x 3, +, \ x 4, ( x 2, _ x 3, ) x 2, m x 2, z, =, y x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 4 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
m~(y)=m(y+z)subscript~mysubscriptmysubscriptz\widetilde{m}_{\ell}(y)=m_{\ell}(y+z_{\ell})
End of MathML
.

Hit idp23597312

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 91
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/202/f080428.xhtml#idp23597312
no match at pos:527764(000036%) VariableMap:[0 x 2, widetilde, ell, \ x 2, (, _, ), m, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 1 Expects 5 occurences for ')' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 2 Expects 3 occurences for '_' but has only 1 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
m~(0)=0subscript~m00\widetilde{m}_{\ell}(0)=0
End of MathML
.

Hit idp24626832

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 92
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/60/f023781.xhtml#idp24626832
no match at pos:648032(000080%) VariableMap:[ll, sigma, ], \ x 16, left x 3, _ x 5, ^, dots, right x 3, end, [, & x 2, leq x 2, + x 3, ( x 2, ) x 2, ., , x 5, begin, -, 2 x 2, tx, 1 x 5, 0 x 3, t x 4, x, p x 3, = x 3, x, array x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '^' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
σ(p)={(-1)ttx11+pt,t=1,2,,x1+x20+p0,t=0}.σp≤⁢-1ttx1+1pt=t12…≤+x1x2+0p0=t0\sigma\left(p\right)=\left\{\begin{array}[]{ll}\left(-1\right)^{{t}}tx_{{1}}\leq 1+p_{{t}},&t=1,2,\dots,\\ x_{{1}}+x_{{2}}\leq 0+p_{{0}},&t=0\end{array}\right\}.
End of MathML
.

Hit idp2738976

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 93
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/132/f052673.xhtml#idp2738976
no match at pos:331817(000093%) VariableMap:[sum x 2, S x 2, ], \ x 21, _ x 7, left x 3, ^ x 5, right x 3, [, f x 2, c, a x 2, n x 4, mu x 4, +, ( x 4, ) x 4, k x 10, , x 2, frac x 5, - x 3, prime x 3, 2 x 2, 1 x 2, displaystyle, = x 3] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=f(μ)ank=1n(Sk,kk-μ)+f′′(μ)2ank=1n[(Sk,kk-μ)2-ckk]absentsuperscriptfμsubscriptansuperscriptsubscriptk1nsubscriptSkkkμsuperscriptf′′μ2subscriptansuperscriptsubscriptk1nsuperscriptsubscriptSkkkμ2subscriptckk\displaystyle=\frac{f^{{\prime}}(\mu)}{a_{n}}\sum _{{k=1}}^{n}\left(\frac{S_{{k,k}}}{k}-\mu\right)+\frac{f^{{\prime\prime}}(\mu)}{2a_{n}}\sum _{{k=1}}^{n}\left[\left(\frac{S_{{k,k}}}{k}-\mu\right)^{2}-\frac{c_{k}}{k}\right]
End of MathML
.

Hit idp29182512

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 94
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/132/f052671.xhtml#idp29182512
no match at pos:1263573(000079%) VariableMap:[mathbb, sum x 3, M x 2, infty x 4, leqslant x 3, lambda x 3, R, \ x 23, _ x 10, ^ x 6, e x 3, varphi x 2, n x 8, ( x 3, ) x 3, in, / x 3, , x 7, - x 3, u, 1 x 3, quad, 0 x 2, t x 6, displaystyle, | x 6, >, y x 3, = x 3, <, x x 3] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
|u(t,x,y)|n=1e-λnt|φn(x)||φn(y)|Mn=1e-λntMn=1e-λnt0<,x,yR,t>t0,utxysuperscriptsubscriptn1superscriptesubscriptλntsubscriptφnxsubscriptφnyMsuperscriptsubscriptn1superscriptesubscriptλntMsuperscriptsubscriptn1superscriptesubscriptλnsubscriptt0xyRtsubscriptt0\displaystyle|u(t,x,y)|\leqslant\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t}}|\varphi _{n}(x)||\varphi _{n}(y)|\leqslant M\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t}}\leqslant M\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t_{0}}}<\infty\/,\quad x,y\in\mathbb{R}\/,\, t>t_{0}\/,
End of MathML
.

Hit idp30342960

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 95
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/98/f039048.xhtml#idp30342960
no match at pos:1405266(000052%) VariableMap:[A x 3, B x 3, L x 3, M, sum x 2, infty x 3, times x 6, \ x 26, _ x 11, ^ x 15, leq, n x 2, +, ( x 9, ) x 9, partial x 3, , x 7, i x 4, - x 5, prime x 3, r, 2 x 7, 1 x 2, t, 0 x 2, r x 15, | x 6, = x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ri=1niALBr×-r,0×-r2,r2+ri=1niALBr×0,r×-r2,r2r2tALBr×-r,r×-r2,r2M,rsuperscriptsubscripti1nsubscriptnormsubscriptiAsuperscriptLsubscriptsuperscriptBrr0superscriptr2superscriptr2rsuperscriptsubscripti1nsubscriptnormsubscriptiAsuperscriptLsubscriptsuperscriptBr0rsuperscriptr2superscriptr2superscriptr2subscriptnormsubscripttAsuperscriptLsubscriptsuperscriptBrrrsuperscriptr2superscriptr2Mr\sum _{{i=1}}^{n}\|\partial _{i}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(-r,0)\times(-r^{2},r^{2}))}}+r\sum _{{i=1}}^{n}\|\partial _{i}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(0,r)\times(-r^{2},r^{2}))}}\\ r^{2}\|\partial _{t}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(-r,r)\times(-r^{2},r^{2}))}}\leq M,
End of MathML
.

Hit idp316352

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 96
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/226/f090245.xhtml#idp316352
no match at pos:35612(000020%) VariableMap:[g, c x 4, B x 2, dagger x 2, + x 5, sum, ( x 3, N, ) x 3, ., ,, - x 3, i x 7, 1 x 6, t, sigma x 5, displaystyle, ;, \ x 16, left x 3, _ x 7, ^ x 3, right x 3, =] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 3 Expects 5 occurences for ')' but has only 3 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 2 occurences for '=' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-ti=1,σN-11+gBi+1-Bici+1σciσ+ciσci+1σ.tsuperscriptsubscripti1σN11gsubscriptBi1subscriptBisuperscriptsubscriptci1σsubscriptciσsuperscriptsubscriptciσsubscriptci1σ\displaystyle-\; t\sum _{{i=1,\sigma}}^{{N-1}}\left(1+g\left(B_{{i+1}}-B_{{i}}\right)\right)\left(c_{{i+1\sigma}}^{{\dagger}}c_{{i\sigma}}+c_{{i\sigma}}^{{\dagger}}c_{{i+1\sigma}}\right).
End of MathML
.

Hit idp4941984

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 97
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/113/f044897.xhtml#idp4941984
no match at pos:609724(000051%) VariableMap:[BMO, mathbb, n, *, mathrm, (, ), in, ,, T x 2, 1 x 2, R, \ x 3, ^ x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 1 Expects 5 occurences for ')' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 5 occurences for '\' but has only 3 Expects 3 occurences for '_' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
T1,T*1BMO(n)T1superscriptT1BMOsuperscriptRnT1,T^{*}1\in\mathrm{BMO}(\mathbb{R}^{n})
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Hit idp8517968

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 98
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006219.xhtml#idp8517968
no match at pos:1096754(000095%) VariableMap:[nu x 2, min x 2, dy x 2, int x 2, mu x 4, ( x 4, ) x 4, sup x 2, infty x 2, , x 10, 1 x 2, quad, nabla, \ x 16, _ x 2, | x 6, y x 2, < x 2, x x 4] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 4 Expects 5 occurences for ')' but has only 4 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 3 occurences for '_' but has only 2 Expects 2 occurences for '^' but has only 0 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
supx,μmin(1,|y|)ν(x,μ,dy)<,supx,μmin(1,|y|)|ν(x,μ,dy)|<,subscriptsupremumxμ1yνxμdysubscriptsupremumxμ1yνxμdy\sup _{{x,\mu}}\int\min(1,|y|)\nu(x,\mu,dy)<\infty,\quad\sup _{{x,\mu}}\int\min(1,|y|)|\nabla\nu(x,\mu,dy)|<\infty,
End of MathML
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Hit idp867168

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 99
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/130/f051817.xhtml#idp867168
no match at pos:100897(000089%) VariableMap:[sum x 4, x 2, beta x 7, lambda x 6, dfrac x 3, gamma x 5, alpha x 2, ] x 2, \ x 52, left x 2, _ x 15, ^ x 14, bmatrix x 2, right x 2, [ x 2, end x 2, & x 2, sqrt, + x 2, (, ), ., k x 12, - x 21, frac, begin x 2, 2 x 8, 1 x 17, 0 x 4, s x 8, displaystyle x 3, tau x 8, rr, = x 4, array x 2] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 5 occurences for '(' but has only 1 Expects 5 occurences for ')' but has only 1 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
12βk-1α2-β[λ2k-λ2k-1-λ1kλ1k-1][1β(γk-1-2αβγk)-τ=0k-2s=0τ-1γsλ1k-1+s-2τβτ-1-s1βγk-τ=0k-1s=0τ-1γsλ1k+s-2τβτ-1-s].12superscriptβk1superscriptα2βλ2k-λ2-k1-λ1kλ1-k1-⁢1β-γ-k1⁢⁢2αβγk∑=τ0-k2∑=s0-τ1⁢γsλ1-+-k1s⁢2τβ-τ1s-⁢1βγk∑=τ0-k1∑=s0-τ1⁢γsλ1-+ks⁢2τβ-τ1s\displaystyle\frac{1}{2\beta^{{k-1}}\sqrt{\alpha^{2}-\beta}}\left[\begin{array}[]{rr}\lambda _{2}^{k}&-\lambda _{2}^{{k-1}}\\ -\lambda _{1}^{k}&\lambda _{1}^{{k-1}}\end{array}\right]\begin{bmatrix}\dfrac{1}{\beta}\left(\gamma _{{k-1}}-\dfrac{2\alpha}{\beta}\gamma _{k}\right)-\displaystyle\sum _{{\tau=0}}^{{k-2}}\sum _{{s=0}}^{{\tau-1}}\gamma _{s}\lambda _{1}^{{k-1+s-2\tau}}\beta^{{\tau-1-s}}\\ \dfrac{1}{\beta}\gamma _{k}-\displaystyle\sum _{{\tau=0}}^{{k-1}}\sum _{{s=0}}^{{\tau-1}}\gamma _{s}\lambda _{1}^{{k+s-2\tau}}\beta^{{\tau-1-s}}\end{bmatrix}.
End of MathML
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Hit idp8755856

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 100
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/112/f044608.xhtml#idp8755856
no match at pos:1080639(000092%) VariableMap:[geq, A, leq, C, n x 3, L, ( x 2, cdot, ) x 2, ,, 1, mathcal, psi, q, \ x 7, _ x 2, ^, | x 4, Lambda] Expects 1 occurences for 'F' but has only 0 Expects 1 occurences for 'B' but has only 0 Expects 1 occurences for 'bigr' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 5 occurences for '(' but has only 2 Expects 5 occurences for ')' but has only 2 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'prime' but has only 0 Expects 1 occurences for 'tau' but has only 0 Expects 1 occurences for 'bigl' but has only 0 Expects 3 occurences for '_' but has only 2 Expects 2 occurences for '^' but has only 1 Expects 2 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
||An||L(Λ(ψ))Cnq,n1subscriptnormsubscriptAnLΛψCsuperscriptnqn1||A_{n}||_{{\mathcal{L}(\Lambda(\psi))}}\leq C\cdot n^{q},\ n\geq 1
End of MathML
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