Solutions to Differential Equation

Results for NTCIR10-FT-12

Query

Original Query

NTCIR10-FT-12 Full Text Query Solutions to Differential Equation \frac{\partial\qvar{u}}{\partial\qvar{t}}-\triangle\qvar{u}+\frac{\langle D^{2}\qvar{u}D\qvar{u},D\qvar{u}\rangle}{1+|D\qvar{u}|^{2}}=0 - + D 2 D , D 1 + | D | 2 = 0 normal-△ superscript D 2 D D 1 superscript D 2 0 uniqueness of solutions

Compiled by FSE

Token-Filter

  • TeXFilter:[D x 4, + x 2, rangle, langle, partial x 2, ,, frac x 2, -, 2 x 2, 1, 0, triangle, \ x 7, | x 2, ^ x 2, =]
  • Presentation-MathML:[D x 4, 2 x 2, △, 1, 0, ∂ x 2, + x 2, ⟩, | x 2, ⟨, =, ,, -]

MathML-Filter

mrow[mrow[mrow[mfrac[mrow[mo[∂];(.*?)];mrow[mo[∂];(.*?)]];mo[-];mrow[mi[△];1]];mo[+];mfrac[mrow[mo[⟨];mrow[mrow[msup[mi[D];mn[2]];1;mi[D];1];mo[,];mrow[mi[D];1]];mo[⟩]];mrow[mn[1];mo[+];msup[mrow[mo[|];mrow[mi[D];1];mo[|]];mn[2]]]]];mo[=];mn[0]] apply[eq;apply[plus;apply[minus;apply[divide;apply[partialdiff;(.*)];apply[partialdiff;(.*)]];apply[times;ci[normal-△];1]];apply[divide;apply[list;apply[times;apply[csymbol[superscript];ci[D];cn[2]];1;ci[D];1];apply[times;ci[D];1]];apply[plus;cn[1];apply[csymbol[superscript];apply[abs;apply[times;ci[D];1]];cn[2]]]]];cn[0]]

Word filter

Keywords:[uniqueness, of, solutions] Rendered Presentation-MathML: -+D2D,D1+|D|2=0

Results

Summary

Reviewer score 2

  • Items reviewd: 20
  • Accumulated score: 64350
  • Formulasearchengine found: 3

Reviewer score 0

  • Items reviewd: 80
  • Accumulated score: 150473
  • Formulasearchengine found: 7
.
+++o
200000+0000
5000-20000003710
<50000177390
02080100
50000000:0 200000:0 10000:10 5000:10

Short result list

Detailed results for reviewer score 2

Hit idp1306560

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 2
  • Formulasearchengine score: 21803
  • Reference to collection: _PREFIX_/16/f006298.xhtml#idp1306560
found all required tokens in TeX $\partial _{t}^{2}D+2\frac{\dot{a}}{a}\partial _{t}D=\frac{1}{a^{2}}\partial _{z}\left[(1+D)\partial _{z}\Phi\right]+\frac{1}{a^{2}}\partial _{z}^{2}\left[(1+D)\langle v^{2}\rangle\right].$ at pos:150581(44%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.875 * WORD_SCORE[solutions] + 1.9375 * TOKEN_SCORE[D] + 1.9375 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[rangle] + 1.5 * TOKEN_SCORE[langle] + 1.96875 * TOKEN_SCORE[partial] + 1.0 * TOKEN_SCORE[,] + 1.875 * TOKEN_SCORE[frac] + 1.0 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9999847412109375 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.96875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.875*5.24834194144274+1.9375*1.19908411364069+1.9375*0.0160883895861106+1.5*1.45967258189661+1.5*2.32520799892597+1.96875*1.25417908558971+1.0*2.82855+1.875*0.0366287198730455+1.0*0.0154682311502303+1.984375*0.00999347474837536+1.9375*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.9999847412109375*5.92879328325965E-4+1.0*0.0975909302497933+1.96875*0.00338742677192689+1.5*2.678806489 = 21803.66216239253' final score ~ 21803 reviewer: xxx gave 2
Rendered MathML:
t2D+2a˙atD=1a2z[(1+D)zΦ]+1a2z2[(1+D)v2].superscriptsubscriptt2D2˙aasubscripttD1superscripta2subscriptz1DsubscriptzΦ1superscripta2superscriptsubscriptz21Dsuperscriptv2\partial _{t}^{2}D+2\frac{\dot{a}}{a}\partial _{t}D=\frac{1}{a^{2}}\partial _{z}\left[(1+D)\partial _{z}\Phi\right]+\frac{1}{a^{2}}\partial _{z}^{2}\left[(1+D)\langle v^{2}\rangle\right].
End of MathML
.

Hit idp22988448

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 4
  • Formulasearchengine score: 21774
  • Reference to collection: _PREFIX_/14/f005353.xhtml#idp22988448
found all required tokens in TeX $\langle\phi^{{2}}\rangle _{{\text{b},z=0}}^{{\text{C}}}=-\frac{8(4\pi)^{{-(D+1)/2}}}{\Gamma((D-1)/2)r^{{D-2}}}\int _{{0}}^{{\infty}}dv\ g(v,p)\left|\Gamma\left(D/2-1-iv\right)\right|^{{2}}.$ at pos:435730(52%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.5 * WORD_SCORE[solutions] + 1.9375 * TOKEN_SCORE[D] + 1.5 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[rangle] + 1.5 * TOKEN_SCORE[langle] + 1.0 * TOKEN_SCORE[partial] + 1.75 * TOKEN_SCORE[,] + 1.5 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9999847412109375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[|] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.5*5.24834194144274+1.9375*1.19908411364069+1.5*0.0160883895861106+1.5*1.45967258189661+1.5*2.32520799892597+1.0*1.25417908558971+1.75*2.82855+1.5*0.0366287198730455+1.984375*0.0154682311502303+1.984375*0.00999347474837536+1.875*0.0102451205633244+1.75*0.0483458611105983+1.0*90.4040391913438+1.9999847412109375*5.92879328325965E-4+1.75*0.0975909302497933+1.984375*0.00338742677192689+1.75*2.678806489 = 21774.793883063983' final score ~ 21774 reviewer: xxx gave 2
Rendered MathML:
ϕ2b,z=0C=-8(4π)-(D+1)/2Γ((D-1)/2)rD-20dvg(v,p)|Γ(D/2-1-iv)|2.superscriptsubscriptsuperscriptϕ2bz0C8superscript4πD12ΓD12superscriptrD2superscriptsubscript0dvgvpsuperscriptΓD21iv2\langle\phi^{{2}}\rangle _{{\text{b},z=0}}^{{\text{C}}}=-\frac{8(4\pi)^{{-(D+1)/2}}}{\Gamma((D-1)/2)r^{{D-2}}}\int _{{0}}^{{\infty}}dv\ g(v,p)\left|\Gamma\left(D/2-1-iv\right)\right|^{{2}}.
End of MathML
.

Hit id59813

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 9
  • Formulasearchengine score: 20773
  • Reference to collection: _PREFIX_/32/f012639.xhtml#id59813
found all required tokens in TeX $\frac{\partial D}{\partial t}=-d_{1}D+\frac{\alpha d_{2}}{4}\left(\frac{\partial^{2}D}{\partial x^{2}}+\frac{\partial^{2}D}{\partial y^{2}}\right),$ at pos:95141(57%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.9375 * TOKEN_SCORE[D] + 1.75 * TOKEN_SCORE[+] + 1.0 * TOKEN_SCORE[rangle] + 1.0 * TOKEN_SCORE[langle] + 1.984375 * TOKEN_SCORE[partial] + 1.5 * TOKEN_SCORE[,] + 1.9375 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9998779296875 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.9375*1.19908411364069+1.75*0.0160883895861106+1.0*1.45967258189661+1.0*2.32520799892597+1.984375*1.25417908558971+1.5*2.82855+1.9375*0.0366287198730455+1.5*0.0154682311502303+1.96875*0.00999347474837536+1.5*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.9998779296875*5.92879328325965E-4+1.0*0.0975909302497933+1.9375*0.00338742677192689+1.5*2.678806489 = 20773.967427033862' final score ~ 20773 reviewer: xxx gave 2
Rendered MathML:
Dt=-d1D+αd242Dx2+2Dy2,Dtsubscriptd1Dαsubscriptd24superscript2Dsuperscriptx2superscript2Dsuperscripty2\frac{\partial D}{\partial t}=-d_{1}D+\frac{\alpha d_{2}}{4}\left(\frac{\partial^{2}D}{\partial x^{2}}+\frac{\partial^{2}D}{\partial y^{2}}\right),
End of MathML
.

Hit id109704

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 11
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/213/f085117.xhtml#id109704
no match at pos:850454(000043%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
-ΛVΛ=DV+1-D2ϕVϕ-ρ14Vϕ2-2Vϕ2.ΛVΛDV1D2ϕVϕsuperscriptρ14superscriptVϕ2superscript2Vsuperscriptϕ2
End of MathML
.

Hit id58165

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 12
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/23/f009086.xhtml#id58165
no match at pos:72667(000052%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
iχt=-12ρρρρ+12ρ2+ρ22+g2Dχ2+Dρχ,iχt12ρρρρ12superscriptρ2superscriptρ22subscriptg2Dsuperscriptχ2Dρχ
End of MathML
.

Hit id61255

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 13
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/121/f048196.xhtml#id61255
no match at pos:124540(000018%) VariableMap:[D x 2, C x 3, + x 2, (, ), partial x 6, ,, -, frac x 5, 2 x 6, 1, 0, V x 3, \ x 13, _, left, ^ x 6, z x 2, right, =, x] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for 'triangle' 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:
2Cx2+1-V2VD22Cz2+VDCz=0,superscript2Csuperscriptx21superscriptV2superscriptsubscriptVD2superscript2Csuperscriptz2VDCz0\frac{\partial^{2}C}{\partial x^{2}}+\left(1-\frac{V^{2}}{V_{D}^{2}}\right)\frac{\partial^{2}C}{\partial z^{2}}+\frac{V}{D}\frac{\partial C}{\partial z}=0,
End of MathML
.

Hit id62495

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 14
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/54/f021574.xhtml#id62495
no match at pos:132439(000026%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
tlnUq1t+21-α2D1Uq1tq-32=0,tsubscriptsuperscriptU1qt21subscriptα2superscriptD1superscriptsubscriptsuperscriptU1qtq320
End of MathML
.

Hit id67373

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 15
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/33/f012877.xhtml#id67373
no match at pos:214041(000020%) VariableMap:[D, + x 4, ( x 2, ) x 2, ., partial x 8, T, 2 x 2, 1, over x 5, t, Ds, s x 5, biggl x 2, r x 5, \ x 17, biggr x 2, ^ x 2, =] Expects 4 occurences for 'D' but has only 1 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
st=T2sr2+D+1rsr+rsr+Dss.stTsuperscript2ssuperscriptr2D1rsrrsrDss{\partial s\over\partial t}=T\biggl({\partial^{{2}}s\over\partial r^{{2}}}+{D+1\over r}{\partial s\over\partial r}\biggr)+\biggl(r{\partial s\over\partial r}+Ds\biggr)s.
End of MathML
.

Hit id71251

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 16
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/21/f008206.xhtml#id71251
no match at pos:265151(000069%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
-32x2+D+2D2y2Ψx,y=0.3superscript2superscriptx2D2Dsuperscript2superscripty2Ψxy0.
End of MathML
.

Hit idp1214912

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 17
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006298.xhtml#idp1214912
no match at pos:138866(000040%) VariableMap:[D x 2, a, + x 3, rangle, ( x 2, langle, ) x 2, partial x 2, ,, frac, v, 1 x 3, 0, t, ], \ x 7, left, _ x 2, right, z, =, [] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'frac' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for 'triangle' 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:
t(1+D)+1az[v(1+D)]=0,subscriptt1D1asubscriptzv1D0\partial _{t}(1+D)+\frac{1}{a}\partial _{z}\left[\langle v\rangle(1+D)\right]=0,
End of MathML
.

Hit idp1238656

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 18
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006298.xhtml#idp1238656
no match at pos:141864(000041%) VariableMap:[D x 3, ] x 2, \ x 12, left x 3, _ x 3, ^, right x 3, [ x 2, Phi, a, + x 5, ( x 3, rangle, ) x 3, langle, partial x 3, ,, v x 2, 2, 1 x 3, 0, t, >, z x 2, =, <] Expects 4 occurences for 'D' but has only 3 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for 'triangle' 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 2
Rendered MathML:
t[av(1+D)]+zΦ(1+D)+z[v2(1+D)]=0,subscripttav1DsubscriptzΦ1Dsubscriptzsuperscriptv21D0\partial _{t}\left[a\left<v\right>(1+D)\right]+\partial _{{z}}\Phi(1+D)+\partial _{z}\left[\langle v^{2}\rangle(1+D)\right]=0,
End of MathML
.

Hit idp1270976

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 19
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006397.xhtml#idp1270976
no match at pos:155526(000004%) VariableMap:[D, F x 3, A, nabla, \ x 11, left, _, ^, right, b, + x 2, ( x 5, rangle x 2, ) x 5, langle x 2, partial x 2, , x 7, frac x 2, 2 x 2, 1, 0, t x 6, =, x x 6] Expects 4 occurences for 'D' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'triangle' 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 2
Rendered MathML:
tF(t,x)+12A(t,x),D2F(t,x)+b(t,x),xF(t,x)=0tFtx12AtxsuperscriptD2FtxbtxsubscriptxFtx0\frac{\partial}{\partial t}F(t,x)+\frac{1}{2}\left\langle A(t,x),D^{2}F(t,x)\right\rangle+\langle b(t,x),\nabla _{x}F(t,x)\rangle=0
End of MathML
.

Hit idp20702608

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 20
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/48/f019162.xhtml#idp20702608
no match at pos:141817(000026%) VariableMap:[dt, D x 2, C x 2, T x 3, gamma x 2, S x 5, R x 2, ], \ x 28, _ x 9, left x 6, ^ x 2, right x 6, [, d, n x 6, + x 2, rangle x 4, (, langle x 4, ), ., partial x 2, ,, frac x 4, - x 2, 2 x 3, t, =] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
dnSdt=2γDnS-γT-TCTC+nSnnS+D2nSR,tR2.dsubscriptnSdt2γsubscriptDsubscriptnSγTsubscriptTCsubscriptTCsubscriptnSnsubscriptnSDsuperscript2subscriptsubscriptnSRtsuperscriptR2\frac{d\left\langle n_{{S}}\right\rangle}{dt}=2\left[\gamma D_{{n_{{S}}}}-\gamma\left(\frac{T-T_{{C}}}{T_{{C}}}+{}\frac{{}{}{}{}{}{}\left\langle n_{{S}}\right\rangle}{n}{}{}{}{}{}{}{}{}{}{}\right)\left\langle n_{{S}}\right\rangle\right]+D\frac{\partial^{{2}}\left\langle n_{{S}}\right\rangle _{{R,t}}}{{}{}{}\partial R^{{2}}}.
End of MathML
.

Hit idp20799344

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 21
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/14/f005457.xhtml#idp20799344
no match at pos:162727(000091%) VariableMap:[eta, E, boldsymbol, +, rangle x 2, langle x 2, partial x 6, boldmath$e$, ,, frac x 3, mbox x 3, boldmath$B$ x 2, 2 x 2, t, times, \ x 23, _, ^ x 2, cal, z x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
t=z×zE+η2z2,tBBBsubscripteeezzEηsuperscript2superscriptz2BBB\frac{\partial}{\partial t}\langle{\mbox{\boldmath$B$}}\rangle={\mbox{\boldmath$e$}}_{z}\times\frac{\partial}{\partial z}{\boldsymbol{{\cal E}}}+\eta\frac{\partial^{2}}{\partial z^{2}}\langle{\mbox{\boldmath$B$}}\rangle,
End of MathML
.

Hit idp21442752

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 22
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/114/f045227.xhtml#idp21442752
no match at pos:236016(000041%) VariableMap:[xi x 4, e x 5, + x 2, rangle x 7, (, ), langle x 7, partial x 4, . x 2, , x 4, frac x 4, 2 x 8, 1 x 2, sigma x 2, p x 5, ;, \ x 35, _ x 4, left x 3, | x 2, ^ x 6, right x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ξ=ξ(e,p)+122ξe2|e,pσe2+122ξp2|e,pσp2,ξξepevaluated-at12superscript2ξsuperscripte2epsuperscriptsubscriptσe2evaluated-at12superscript2ξsuperscriptp2epsuperscriptsubscriptσp2\langle\xi\rangle=\xi\left(\langle e\rangle,\langle p\rangle\right)+\frac{1}{2}\left.\frac{\partial^{2}\xi}{\partial e^{2}}\right|_{{\langle e\rangle,\langle p\rangle}}\sigma _{e}^{2}+\frac{1}{2}\left.\frac{\partial^{2}\xi}{\partial p^{2}}\right|_{{\langle e\rangle,\langle p\rangle}}\sigma _{p}^{2}\;,
End of MathML
.

Hit idp22771216

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 23
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/131/f052265.xhtml#idp22771216
no match at pos:404509(000017%) VariableMap:[dt, , gamma x 3, sigma x 8, nabla x 5, alpha x 12, \ x 63, _ x 2, ^ x 14, f, d, Phi, sqrt, + x 3, (, rangle x 5, ), langle x 5, partial x 13, , x 6, frac x 4, - x 2, v x 3, 2 x 3, 1 x 3, t, | x 4, =] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ddtαv,ασ+ασ2+1γασ2=αv,αtσ-1γαv,ασ-1γαΦ(σ),ασ+αf2,ασ,ddtsuperscriptαvsuperscriptασsuperscriptnormsuperscriptασ21γsuperscriptnormsuperscriptασ2superscriptαvsuperscriptαsubscripttσ1γsuperscriptαvsuperscriptασ1γsuperscriptαΦσsuperscriptασsuperscriptαsubscriptf2superscriptασ\frac{d}{dt}{\langle}\partial^{\alpha}v,\partial^{\alpha}\nabla\sigma{\rangle}+\|\partial^{\alpha}\nabla\sigma\|^{2}+\frac{1}{\gamma}\|\partial^{\alpha}\sigma\|^{2}={\langle}\partial^{\alpha}v,\partial^{\alpha}\nabla\partial _{t}\sigma{\rangle}\\ -\frac{1}{\sqrt{\gamma}}{\langle}\partial^{\alpha}v,\partial^{\alpha}\nabla\sigma{\rangle}-\frac{1}{\gamma}{\langle}\partial^{\alpha}\Phi(\sigma),\partial^{\alpha}\sigma{\rangle}+{\langle}\partial^{\alpha}f_{2},\partial^{\alpha}\nabla\sigma{\rangle},
End of MathML
.

Hit idp23156240

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 24
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/129/f051315.xhtml#idp23156240
no match at pos:462361(000030%) VariableMap:[D x 2, F x 3, J, varepsilon, over, \ x 11, left, _ x 3, ^ x 4, right, e, n x 4, + x 5, ( x 3, rangle, langle, ) x 3, partial x 2, , x 6, - x 3, 1, t x 2, displaystyle, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'frac' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
εFt+eD+(n+,n-,F)+D-(n+,n-,F)1=J(t)εFtesubscriptsubscriptDsuperscriptnsuperscriptnFsubscriptDsuperscriptnsuperscriptnF1Jt\displaystyle\varepsilon\,{\partial F\over\partial t}+e\,\left\langle D_{+}(n^{+},n^{-},F)+D_{-}(n^{+},n^{-},F)\right\rangle _{{1}}=J(t)
End of MathML
.

Hit idp2692352

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 25
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006397.xhtml#idp2692352
no match at pos:332192(000008%) VariableMap:[D, F x 3, A, nabla, \ x 14, _ x 7, left, ^, right, b, overline x 3, + x 2, rangle x 2, ( x 4, l x 6, ) x 4, langle x 2, partial x 2, , x 6, - x 3, frac x 2, 2 x 2, 1 x 4, 0, t x 5, ; x 3, =, x x 8] Expects 4 occurences for 'D' but has only 1 Expects 1 occurences for 'triangle' 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 2
Rendered MathML:
Flt(x¯l-1;t,x)+12A(t,x),D2Fl(x¯l-1;t,x)+b,xFl(x¯l-1;t,x)=0subscriptFltsubscript¯xl1tx12AtxsuperscriptD2subscriptFlsubscript¯xl1txbsubscriptxsubscriptFlsubscript¯xl1tx0\frac{\partial F_{l}}{\partial t}(\overline{x}_{{l-1}};t,x)+\frac{1}{2}\left\langle A(t,x),D^{2}F_{l}(\overline{x}_{{l-1}};t,x)\right\rangle+\langle b,\nabla _{x}F_{l}(\overline{x}_{{l-1}};t,x)\rangle=0
End of MathML
.

Hit idp29279888

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 26
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006397.xhtml#idp29279888
no match at pos:3788794(000096%) VariableMap:[D, b, A, + x 2, rangle x 2, langle x 2, partial x 2, Gamma x 3, , x 2, frac x 2, 2 x 2, 1, 0, t, nabla, \ x 12, _, ^, =, x] Expects 4 occurences for 'D' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'triangle' 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 2
Rendered MathML:
tΓ+12A,D2Γ+b,xΓ=0tΓ12AsuperscriptD2ΓbsubscriptxΓ0\frac{\partial}{\partial t}\Gamma+\frac{1}{2}\langle A,D^{2}\Gamma\rangle+\langle b,\nabla _{x}\Gamma\rangle=0
End of MathML
.

Hit idp5060320

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 27
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/64/f025212.xhtml#idp5060320
no match at pos:611426(000086%) VariableMap:[dt, A, Q, R, \ x 13, _ x 6, ^ x 2, d, Phi x 3, leq, +, (, rangle, ), langle, ., partial x 2, /, ,, frac, 2 x 3, v, u x 3, 1 x 2, 0 x 3, t x 2, | x 4, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 2 occurences for 'frac' but has only 1 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ddtΦ0+Φ0=2tu,A1/2uv12Q(R)tuΦ0.ddtsubscriptΦ0subscriptΦ02subscripttusuperscriptA12usubscriptsuperscriptnormv21QRnormsubscripttusubscriptΦ0\frac{d}{dt}\Phi _{0}+\Phi _{0}=2\langle\partial _{t}u,A^{{1/2}}u\rangle\| v\|^{2}_{1}\leq Q(R)\|\partial _{t}u\|\Phi _{0}.
End of MathML
.

Detailed results for reviewer score 0

Hit idp30351312

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 1
  • Formulasearchengine score: 22001
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp30351312
found all required tokens in TeX $\displaystyle\quad\times e^{{\frac{1}{2}\left\langle f,x\right\rangle _{{A^{{-1}}}}-\langle\frac{\coth\left(t\sqrt{D}\right)}{\sqrt{D}}g,x\rangle+\langle\frac{1}{\sqrt{D}\sinh\left(t\sqrt{D}\right)}g,x^{{0}}\rangle}}\tag{2.2}$ at pos:1413853(87%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.9921875 * WORD_SCORE[solutions] + 1.9375 * TOKEN_SCORE[D] + 1.5 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[rangle] + 1.875 * TOKEN_SCORE[langle] + 1.0 * TOKEN_SCORE[partial] + 1.875 * TOKEN_SCORE[,] + 1.875 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9999999701976776 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.875 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.9921875*5.24834194144274+1.9375*1.19908411364069+1.5*0.0160883895861106+1.875*1.45967258189661+1.875*2.32520799892597+1.0*1.25417908558971+1.875*2.82855+1.875*0.0366287198730455+1.75*0.0154682311502303+1.875*0.00999347474837536+1.875*0.0102451205633244+1.5*0.0483458611105983+1.0*90.4040391913438+1.9999999701976776*5.92879328325965E-4+1.0*0.0975909302497933+1.875*0.00338742677192689+1.0*2.678806489 = 22001.826844423893' final score ~ 22001 reviewer: xxx gave 0
Rendered MathML:
×e12f,xA-1-coth(tD)Dg,x+1Dsinh(tD)g,x0superscripte12subscriptfxsuperscriptA1hyperbolic-cotangenttDDgx1DtDgsuperscriptx0\displaystyle\quad\times e^{{\frac{1}{2}\left\langle f,x\right\rangle _{{A^{{-1}}}}-\langle\frac{\coth\left(t\sqrt{D}\right)}{\sqrt{D}}g,x\rangle+\langle\frac{1}{\sqrt{D}\sinh\left(t\sqrt{D}\right)}g,x^{{0}}\rangle}}\tag{2.2}
End of MathML
.

Hit id71514

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 3
  • Formulasearchengine score: 21787
  • Reference to collection: _PREFIX_/213/f084819.xhtml#id71514
found all required tokens in TeX $\left[{\partial^{2}\over\partial Y^{2}}-8De^{{2\sqrt{D\over D-1}~Y}}-4E~(1-n)\sqrt{D\over D-1}Y+\nu^{2}+4E\right]\left[g_{0}(Y)+g_{n}(Y)\right]=0,$ at pos:273223(68%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.984375 * WORD_SCORE[solutions] + 1.9375 * TOKEN_SCORE[D] + 1.875 * TOKEN_SCORE[+] + 1.0 * TOKEN_SCORE[rangle] + 1.0 * TOKEN_SCORE[langle] + 1.75 * TOKEN_SCORE[partial] + 1.5 * TOKEN_SCORE[,] + 1.0 * TOKEN_SCORE[frac] + 1.96875 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.999755859375 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.984375*5.24834194144274+1.9375*1.19908411364069+1.875*0.0160883895861106+1.0*1.45967258189661+1.0*2.32520799892597+1.75*1.25417908558971+1.5*2.82855+1.0*0.0366287198730455+1.96875*0.0154682311502303+1.9375*0.00999347474837536+1.875*0.0102451205633244+1.75*0.0483458611105983+1.0*90.4040391913438+1.999755859375*5.92879328325965E-4+1.0*0.0975909302497933+1.9375*0.00338742677192689+1.5*2.678806489 = 21787.511589195827' final score ~ 21787 reviewer: xxx gave 0
Rendered MathML:
2Y2-8De2DD-1Y-4E1-nDD-1Y+ν2+4Eg0Y+gnY=0,superscript2superscriptY28Dsuperscripte2DD1Y4E1nDD1Ysuperscriptν24Esubscriptg0YsubscriptgnY0\left[{\partial^{2}\over\partial Y^{2}}-8De^{{2\sqrt{D\over D-1}~Y}}-4E~(1-n)\sqrt{D\over D-1}Y+\nu^{2}+4E\right]\left[g_{0}(Y)+g_{n}(Y)\right]=0,
End of MathML
.

Hit id63379

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 5
  • Formulasearchengine score: 21773
  • Reference to collection: _PREFIX_/30/f011986.xhtml#id63379
found all required tokens in TeX $-\frac{\partial}{\partial\beta}D^{{1}}=(F-\mu)D^{{1}}+\left(\frac{Tr\bar{h}D^{{1}}}{D^{{0}}}+\frac{TrD^{{2}}}{D^{{0}}}\right)D^{{1}}-\frac{1}{D^{{0}}}D^{{1}}(F-\mu)D^{{1}},$ at pos:149595(77%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.9375 * WORD_SCORE[solutions] + 1.998046875 * TOKEN_SCORE[D] + 1.75 * TOKEN_SCORE[+] + 1.0 * TOKEN_SCORE[rangle] + 1.0 * TOKEN_SCORE[langle] + 1.75 * TOKEN_SCORE[partial] + 1.5 * TOKEN_SCORE[,] + 1.9375 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[-] + 1.5 * TOKEN_SCORE[2] + 1.9921875 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.999755859375 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.9990234375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.9375*5.24834194144274+1.998046875*1.19908411364069+1.75*0.0160883895861106+1.0*1.45967258189661+1.0*2.32520799892597+1.75*1.25417908558971+1.5*2.82855+1.9375*0.0366287198730455+1.9375*0.0154682311502303+1.5*0.00999347474837536+1.9921875*0.0102451205633244+1.875*0.0483458611105983+1.0*90.4040391913438+1.999755859375*5.92879328325965E-4+1.0*0.0975909302497933+1.9990234375*0.00338742677192689+1.5*2.678806489 = 21773.662574699723' final score ~ 21773 reviewer: xxx gave 0
Rendered MathML:
-βD1=F-μD1+Trh¯D1D0+TrD2D0D1-1D0D1F-μD1,βsuperscriptD1FμsuperscriptD1Tr¯hsuperscriptD1superscriptD0TrsuperscriptD2superscriptD0superscriptD11superscriptD0superscriptD1FμsuperscriptD1-\frac{\partial}{\partial\beta}D^{{1}}=(F-\mu)D^{{1}}+\left(\frac{Tr\bar{h}D^{{1}}}{D^{{0}}}+\frac{TrD^{{2}}}{D^{{0}}}\right)D^{{1}}-\frac{1}{D^{{0}}}D^{{1}}(F-\mu)D^{{1}},
End of MathML
.

Hit idp22901616

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 6
  • Formulasearchengine score: 21762
  • Reference to collection: _PREFIX_/61/f024165.xhtml#idp22901616
found all required tokens in TeX $\langle\bar{\psi}\psi\rangle _{{R^{{D}}}}=-\frac{N_{{D}}\Gamma((D+1)/2)}{2^{{D+2}}\pi^{{(D-1)/2}}a^{{D}}}\frac{d^{{D-1}}}{dx^{{D-1}}}\frac{1}{\sin(\pi x)}\Big|_{{x=z/a}}.$ at pos:441585(37%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.875 * WORD_SCORE[solutions] + 1.99609375 * TOKEN_SCORE[D] + 1.75 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[rangle] + 1.5 * TOKEN_SCORE[langle] + 1.0 * TOKEN_SCORE[partial] + 1.0 * TOKEN_SCORE[,] + 1.875 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9998779296875 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[|] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.875*5.24834194144274+1.99609375*1.19908411364069+1.75*0.0160883895861106+1.5*1.45967258189661+1.5*2.32520799892597+1.0*1.25417908558971+1.0*2.82855+1.875*0.0366287198730455+1.9375*0.0154682311502303+1.9375*0.00999347474837536+1.96875*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.9998779296875*5.92879328325965E-4+1.5*0.0975909302497933+1.984375*0.00338742677192689+1.75*2.678806489 = 21762.178103168048' final score ~ 21762 reviewer: xxx gave 0
Rendered MathML:
ψ¯ψRD=-NDΓ((D+1)/2)2D+2π(D-1)/2aDdD-1dxD-11sin(πx)|x=z/a.subscript¯ψψsuperscriptRDevaluated-atsubscriptNDΓD12superscript2D2superscriptπD12superscriptaDsuperscriptdD1dsuperscriptxD11πxxza\langle\bar{\psi}\psi\rangle _{{R^{{D}}}}=-\frac{N_{{D}}\Gamma((D+1)/2)}{2^{{D+2}}\pi^{{(D-1)/2}}a^{{D}}}\frac{d^{{D-1}}}{dx^{{D-1}}}\frac{1}{\sin(\pi x)}\Big|_{{x=z/a}}.
End of MathML
.

Hit idp21147520

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 7
  • Formulasearchengine score: 21706
  • Reference to collection: _PREFIX_/224/f089307.xhtml#idp21147520
found all required tokens in TeX $\begin{array}[]{c}{\displaystyle\langle\widetilde{T}_{{11}}\rangle _{{\delta,l}}=\frac{(D-1)\Gamma(D)\zeta(D)}{(4\pi)^{{\frac{D-1}{2}}}\Gamma\left(\frac{1+D}{2}\right)}\;(2l)^{{-D}}\times}\\ \\ \times\left[-1+C^{{1}}_{{D}}\widetilde{l}^{{-1}}-C^{{2}}_{{D+1}}\widetilde{l}^{{-2}}+C^{{3}}_{{D+2}}\left(1+\displaystyle\frac{\zeta(D+2)}{2\zeta(D)}\right)\;\widetilde{l}^{{-3}}+\ldots\right],\end{array}$ at pos:197103(59%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.5 * WORD_SCORE[solutions] + 1.99951171875 * TOKEN_SCORE[D] + 1.99609375 * TOKEN_SCORE[+] + 1.5 * TOKEN_SCORE[rangle] + 1.5 * TOKEN_SCORE[langle] + 1.0 * TOKEN_SCORE[partial] + 1.75 * TOKEN_SCORE[,] + 1.9375 * TOKEN_SCORE[frac] + 1.99609375 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[2] + 1.9990234375 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.999999999985448 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.99609375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.5*5.24834194144274+1.99951171875*1.19908411364069+1.99609375*0.0160883895861106+1.5*1.45967258189661+1.5*2.32520799892597+1.0*1.25417908558971+1.75*2.82855+1.9375*0.0366287198730455+1.99609375*0.0154682311502303+1.99609375*0.00999347474837536+1.9990234375*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.999999999985448*5.92879328325965E-4+1.0*0.0975909302497933+1.99609375*0.00338742677192689+1.5*2.678806489 = 21706.875701603785' final score ~ 21706 reviewer: xxx gave 0
Rendered MathML:
T~11δ,l=D-1ΓDζD4πD-12Γ1+D2(2l)-D××[-1+CD1l~-1-CD+12l~-2+CD+23(1+ζD+22ζD)l~-3+],⟨~T11⟩δl=⁢-D1ΓDζD⁢⁢4π-D12Γ+1D2(2l)-D××[-1+C1D~l-1-C2+D1~l-2+C3+D2(1+⁢ζ+D2⁢2ζD)~l-3+…],\begin{array}[]{c}{\displaystyle\langle\widetilde{T}_{{11}}\rangle _{{\delta,l}}=\frac{(D-1)\Gamma(D)\zeta(D)}{(4\pi)^{{\frac{D-1}{2}}}\Gamma\left(\frac{1+D}{2}\right)}\;(2l)^{{-D}}\times}\\ \\ \times\left[-1+C^{{1}}_{{D}}\widetilde{l}^{{-1}}-C^{{2}}_{{D+1}}\widetilde{l}^{{-2}}+C^{{3}}_{{D+2}}\left(1+\displaystyle\frac{\zeta(D+2)}{2\zeta(D)}\right)\;\widetilde{l}^{{-3}}+\ldots\right],\end{array}
End of MathML
.

Hit idp653456

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 8
  • Formulasearchengine score: 20837
  • Reference to collection: _PREFIX_/207/f082449.xhtml#idp653456
found all required tokens in TeX $Q_{D}=\frac{\langle N_{D}^{2}\rangle-\langle N_{D}\rangle^{2}}{\langle N_{D}\rangle}-1.$ at pos:75029(14%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.9375 * TOKEN_SCORE[D] + 1.0 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[rangle] + 1.875 * TOKEN_SCORE[langle] + 1.0 * TOKEN_SCORE[partial] + 1.0 * TOKEN_SCORE[,] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[-] + 1.75 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9921875 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.9375*1.19908411364069+1.0*0.0160883895861106+1.875*1.45967258189661+1.875*2.32520799892597+1.0*1.25417908558971+1.0*2.82855+1.5*0.0366287198730455+1.75*0.0154682311502303+1.75*0.00999347474837536+1.5*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.9921875*5.92879328325965E-4+1.0*0.0975909302497933+1.75*0.00338742677192689+1.5*2.678806489 = 20837.553716721683' final score ~ 20837 reviewer: xxx gave 0
Rendered MathML:
QD=ND2-ND2ND-1.subscriptQDsuperscriptsubscriptND2superscriptsubscriptND2subscriptND1.Q_{D}=\frac{\langle N_{D}^{2}\rangle-\langle N_{D}\rangle^{2}}{\langle N_{D}\rangle}-1.
End of MathML
.

Hit idp816208

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 10
  • Formulasearchengine score: 20607
  • Reference to collection: _PREFIX_/138/f055054.xhtml#idp816208
found all required tokens in TeX $\Delta^{{(D)}}\Psi=\frac{1}{\sqrt{S_{D}}}\frac{1}{r^{{\frac{D-1}{2}}}}\left[-\frac{\partial^{2}}{\partial r^{2}}+\frac{(D-1)(D-3)}{4r^{2}}\right]u(r).$ at pos:96024(27%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[of] + 1.96875 * TOKEN_SCORE[D] + 1.5 * TOKEN_SCORE[+] + 1.0 * TOKEN_SCORE[rangle] + 1.0 * TOKEN_SCORE[langle] + 1.75 * TOKEN_SCORE[partial] + 1.0 * TOKEN_SCORE[,] + 1.96875 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.999755859375 * TOKEN_SCORE[\] + 1.0 * TOKEN_SCORE[|] + 1.96875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*0.0833397735003705+1.96875*1.19908411364069+1.5*0.0160883895861106+1.0*1.45967258189661+1.0*2.32520799892597+1.75*1.25417908558971+1.0*2.82855+1.96875*0.0366287198730455+1.9375*0.0154682311502303+1.9375*0.00999347474837536+1.9375*0.0102451205633244+1.0*0.0483458611105983+1.0*90.4040391913438+1.999755859375*5.92879328325965E-4+1.0*0.0975909302497933+1.96875*0.00338742677192689+1.5*2.678806489 = 20607.708805580678' final score ~ 20607 reviewer: xxx gave 0
Rendered MathML:
ΔDΨ=1SD1rD-12-2r2+D-1D-34r2ur.superscriptΔDΨ1subscriptSD1superscriptrD12superscript2superscriptr2D1D34superscriptr2ur\Delta^{{(D)}}\Psi=\frac{1}{\sqrt{S_{D}}}\frac{1}{r^{{\frac{D-1}{2}}}}\left[-\frac{\partial^{2}}{\partial r^{2}}+\frac{(D-1)(D-3)}{4r^{2}}\right]u(r).
End of MathML
.

Hit id103268

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 28
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/85/f033778.xhtml#id103268
no match at pos:737371(000035%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
lx(x˙,ξ)-Dgdtlv(x˙,ξ)=lξ(x˙,ξ),B(x˙,.)DAdtlξx˙,ξ=-adξ*lξx˙,ξ,∂l∂x(˙x,ξ)-Dg⁢dt∂l∂v(˙x,ξ)=⟨∂l∂ξ(˙x,ξ),B(˙x,.)⟩=⁢DA⁢dt∂l∂ξ˙xξ-⁢ad*ξ∂l∂ξ˙xξ
End of MathML
.

Hit id119590

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 29
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/1/f000190.xhtml#id119590
no match at pos:1029603(000054%) VariableMap:[nu x 3, +, mu x 3, rangle x 2, (, ), langle x 2, partial x 4, Sigma, 2, 1, over x 3, V x 2, biggl, r x 2, \ x 20, biggr, ^ x 5, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
Σμν=12Vμrν+VνrμsuperscriptΣμν12∂⟨V⟩μsuperscriptrν∂⟨V⟩νsuperscriptrμ\Sigma^{{\mu\nu}}={1\over 2}\biggl({\partial\langle V\rangle^{{\mu}}\over\partial r^{{\nu}}}+{\partial\langle V\rangle^{{\nu}}\over\partial r^{{\mu}}}\biggr)
End of MathML
.

Hit id122102

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 30
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/229/f091306.xhtml#id122102
no match at pos:1104638(000060%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
DNΛ-P+φ0xnxP+φ0snsλ-λ0Λ:=DN0Λ:=DsuperscriptNΛP+⁢∂φ0x∂nx⟩⟨P+⁢∂φ0s∂nsλsubscriptsuperscriptλΛ0DsubscriptsuperscriptNΛ0
End of MathML
.

Hit id154067

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 31
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f069034.xhtml#id154067
no match at pos:1529222(000096%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
h2=h20+cδ2D6h20-Dh20D.subscripth2superscriptsubscripth20csuperscriptδ2D6superscriptsubscripth20Dsuperscriptsubscripth20D
End of MathML
.

Hit id56184

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 32
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/243/f096901.xhtml#id56184
no match at pos:39949(000010%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
D2-4ϕt1D-1ϕt1D-1=12D-1e2ϕD-1e-2ϕ+D-1e-2ϕD-1e2ϕ.superscriptsuperscriptD24ϕsubscriptt1superscriptD1ϕsubscriptt1D112superscriptD1superscripte2ϕsuperscriptD1superscripte2ϕsuperscriptD1superscripte2ϕsuperscriptD1superscripte2ϕ
End of MathML
.

Hit id56273

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 33
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/156/f062161.xhtml#id56273
no match at pos:44271(000028%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
LD=-t0t1-+ρσt+12mσx2-D241ρ2ρx2dxdt.subscriptLDsuperscriptsubscriptsubscriptt0subscriptt1superscriptsubscriptρσt12msuperscriptσx2superscriptD241superscriptρ2superscriptρx2dxdt
End of MathML
.

Hit id56417

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 34
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/133/f053175.xhtml#id56417
no match at pos:43660(000011%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ω2+2r2+D-1rr+sin2-Dθr2θsinD-2θθGωr,r,θ=δr-rδθΓD-122πD-1/2rD-1sinD-2θ.superscriptω2superscript2superscriptr2D1rrsuperscript2Dθsuperscriptr2θsuperscriptD2θθsubscriptGωrsuperscriptrθδrsuperscriptrδθΓD122superscriptπD12superscriptrD1superscriptD2θ
End of MathML
.

Hit id56576

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 35
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/149/f059586.xhtml#id56576
no match at pos:45992(000008%) VariableMap:[D x 2, bbd, L x 4, N, J, over, textstyle, hbox, ] x 2, \ x 14, _ x 2, ^ x 2, [ x 2, geq, overline, + x 3, (, ), partial x 4, in, , x 4, -, 2 x 2, 1 x 3, t, 0, quad x 2, displaystyle, p x 3, = x 2] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for 'triangle' 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:
t2p+1L=L2p+10,L,L=+D,D¯-1J,psubscriptt2p1LsubscriptsuperscriptL2p10LLD¯Dsuperscript1Jp\displaystyle{\textstyle{\partial\over\partial t_{{2p+1}}}}L=[(L^{{2p+1}})_{{\geq 0}},L],\quad L=\partial+[D,{\overline{D}}]{\partial}^{{-1}}J,\quad p\in\hbox{\bbd N}
End of MathML
.

Hit id59143

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 36
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/170/f067655.xhtml#id59143
no match at pos:86321(000035%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2z2-1v022t2E0,0+D2t2E+2+E-2=0,superscript2superscriptz21superscriptsubscriptv02superscript2superscriptt2superscriptE00Dsuperscript2superscriptt2superscriptsubscriptE2superscriptsubscriptE20
End of MathML
.

Hit id59774

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 37
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/94/f037503.xhtml#id59774
no match at pos:98363(000019%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Dτ+1ξ2ξ2Duξ=0,Dτ1superscriptξ2superscriptξ2Duξ0
End of MathML
.

Hit id59783

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 38
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/76/f030354.xhtml#id59783
no match at pos:98576(000015%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
L=dx{D2[|u|2+2u(σ)u+σiσjiuju]++qdetI+σx-D-D(σ)q+(σdet(I+σx))q},2.8⟨L⟩=∫dx{D2[|u|2+2u⋅(⟨σ⟩⋅∇)u+⟨σiσj⟩∂iu⋅∂ju]++⁢q-det+Iσ′xD-D(⟨σ⟩⋅∇)q+(⟨σdet(I+σ′x)⟩⋅∇)q},2.8
End of MathML
.

Hit id60160

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 39
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/243/f097148.xhtml#id60160
no match at pos:97681(000066%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1D3=122ϵ21D+ϵϵ0,1superscriptD312superscript2superscriptϵ21Dϵϵ0
End of MathML
.

Hit id60184

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 40
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/134/f053563.xhtml#id60184
no match at pos:97827(000025%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
R=Π+fDD¯-1f¯+12f-1f¯,-fDD¯-1f-12f-1ff¯D¯D-1f¯+12f¯-1f¯,--f¯D¯D-1f-12f¯-1fΠ,RΠ+∂⁢fD¯D∂-1¯f⁢12∂f∂-1¯f--⁢fD¯D∂-1f⁢12∂f∂-1f+⁢¯f¯DD∂-1¯f⁢12∂¯f∂-1¯f--∂⁢¯f¯DD∂-1f⁢12∂¯f∂-1fΠ
End of MathML
.

Hit id60238

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 41
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/76/f030354.xhtml#id60238
no match at pos:104571(000015%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1DδLδu=1-1DDσu-1DiDσiσjjuδLδD=(1+σ)q+12[|u|2+2u(σ)u+σiσj(ju)(iu)]=-Q2.9δLδq=detI+σx-D+σD-σdetI+σx.⁢1D⁢δL⁢δu=-⁢-1⋅⁢1D∇⁢Dσu⁢1D∂i⁢D⁢σiσj∂ju⁢δL⁢δD=(1+⟨σ⟩⋅∇)q+12[|u|2+2u⋅(⟨σ⟩⋅∇)u+⟨σiσj⟩(∂ju)⋅(∂iu)]=-Q2.9⁢δL⁢δq=+-det+Iσ′xD⋅∇-⁢σD⁢σdet+Iσ′x
End of MathML
.

Hit id60247

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 42
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/31/f012145.xhtml#id60247
no match at pos:103579(000029%) VariableMap:[ x 2, lambda x 2, psi x 2, ], \ x 48, left x 9, ^ x 11, right x 9, end, [, g, varphi x 3, c, + x 2, ( x 8, m x 2, ) x 8, ., partial x 8, k, frac x 7, begin, - x 4, v x 2, 2 x 11, u x 2, 1, 0 x 2, r x 7, tau, 4, z x 3, = x 3, array x 2] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for 'triangle' 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:
1rrrψrr+k2-g2τ4-λ2-m2r2ψr=0-2uφφ2=m2uφ2vzz2+λ2vz=0=+⁢1r∂∂r⁢r⁢∂ψr∂r⁢-k2⁢g2τ4λ2m2r2ψr0=-⁢∂2uφ∂φ2⁢m2uφ=+⁢∂2vz∂z2⁢λ2vz0\left\{\begin{array}[]{c}\frac{1}{r}\frac{\partial}{\partial r}\left(r\frac{\partial\psi\left(r\right)}{\partial r}\right)+\left(k^{2}-\frac{g^{2}\tau}{4}-\lambda^{2}-\frac{m^{2}}{r^{2}}\right)\psi\left(r\right)=0\\ -\frac{\partial^{2}u\left(\varphi\right)}{\partial\varphi^{2}}=m^{2}u\left(\varphi\right)\\ \frac{\partial^{2}v\left(z\right)}{\partial z^{2}}+\lambda^{2}v\left(z\right)=0\end{array}\right.
End of MathML
.

Hit id60690

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 43
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/153/f061143.xhtml#id60690
no match at pos:114171(000058%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+n20ϵ1σ2ϵ2-σ2ϵ2+U∂⟨n2⟩0subscriptϵ1subscriptσ2subscriptϵ2subscriptσ2subscriptϵ2U
End of MathML
.

Hit id60905

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 44
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/237/f094786.xhtml#id60905
no match at pos:107462(000017%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2x2-y+uψ=0superscript2superscriptx2yuψ0
End of MathML
.

Hit id60933

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 45
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/153/f061143.xhtml#id60933
no match at pos:117281(000060%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+n20ϵ2σ1ϵ1-σ1ϵ1+U,∂⟨n2⟩0subscriptϵ2subscriptσ1subscriptϵ1subscriptσ1subscriptϵ1U
End of MathML
.

Hit id62624

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 46
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/75/f029620.xhtml#id62624
no match at pos:133659(000038%) VariableMap:[+ x 5, l x 2, ( x 3, ) x 3, partial x 4, k, ,, -, frac x 5, U x 4, lambda x 2, 2 x 8, 1 x 3, 0, displaystyle, ~, \ x 18, ^ x 7, rho x 6, =] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for 'triangle' 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:
2Uρ2+2ρUρ+k21+λρ22U-ll+1ρ21+λρ2U=0,superscript2Usuperscriptρ22ρUρsuperscriptk2superscript1λsuperscriptρ22Ull1superscriptρ21λsuperscriptρ2U0\displaystyle\frac{\partial^{2}U}{{\partial\rho}^{2}}+\frac{2}{\rho}\frac{\partial U}{\partial\rho}+\frac{k^{2}}{(1+\lambda\rho^{2})^{2}}U-\frac{l(l+1)}{\rho^{2}(1+\lambda\rho^{2})}U=0~,
End of MathML
.

Hit id63567

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 47
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/212/f084565.xhtml#id63567
no match at pos:155757(000033%) VariableMap:[infty x 2, \ x 25, _ x 4, left, ^ x 3, st, right, rho, d, !, varphi x 6, int, a, n x 4, + x 4, rangle x 3, ( x 2, mathrm, langle x 3, ) x 2, . x 2, partial x 2, , x 2, frac x 2, -, 2 x 4, 1 x 5, 0, ;, |, = x 2] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for 'triangle' 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:
a2n+1=12n+1!-2n+1ρstφ;φφ2n+1φ=0φdφ.subscripta2n112n1superscriptsubscriptsuperscript2n1subscriptρstφφ∂⟨φ⟩+⁢2n1φ0φdφa_{{2n+1}}=\frac{1}{(2n+1)!}\int _{{-\infty}}^{\infty}\left.\frac{\partial^{{2n+1}}\rho _{{\mathrm{st}}}(\varphi;\langle\varphi\rangle)}{\partial\langle\varphi\rangle^{{2n+1}}}\right|_{{\langle\varphi\rangle=0}}\,\varphi\, d\varphi.
End of MathML
.

Hit id65858

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 48
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/170/f067758.xhtml#id65858
no match at pos:191045(000085%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Fss=a1+2λaFλa+λa1+λa2Fλa2+γ2abλa1+λaFλa-λb1+λbFλbλa-λb,∂⟨F⟩sssubscripta12subscriptλaFsubscriptλasubscriptλa1subscriptλasuperscript2Fsuperscriptsubscriptλa2γ2subscriptabsubscriptλa1subscriptλaFsubscriptλasubscriptλb1subscriptλbFsubscriptλbsubscriptλasubscriptλb
End of MathML
.

Hit id66138

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 49
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/111/f044086.xhtml#id66138
no match at pos:191649(000069%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-βD1=F-μD1+Trh¯D1D0+TrgD2D0D1-1D0D1F-μD1,βsuperscriptD1FμsuperscriptD1Tr¯hsuperscriptD1superscriptD0TrgsuperscriptD2superscriptD0superscriptD11superscriptD0superscriptD1FμsuperscriptD1
End of MathML
.

Hit id68082

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 50
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/90/f035891.xhtml#id68082
no match at pos:225693(000019%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
D4-16z2D+124D+14D+3ΦXz=0,D=zz,superscriptD416zsuperscript2D124D14D3subscriptΦXz0Dzz
End of MathML
.

Hit id69750

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 51
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/236/f094078.xhtml#id69750
no match at pos:247275(000061%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2lnBEE2=-βsE.superscript2BEsuperscriptE2∂⟨β⟩sE
End of MathML
.

Hit id71161

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 52
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/213/f084819.xhtml#id71161
no match at pos:267956(000066%) VariableMap:[D x 2, nu, E, over x 2, ] x 2, \ x 10, _ x 2, left x 2, ^ x 3, X x 4, right x 2, [ x 2, f x 2, d x 2, sqrt, n x 2, + x 2, ( x 5, ) x 5, partial x 2, ,, - x 6, 2 x 3, 1 x 3, 0 x 2, 4, ~ x 2, =] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for 'triangle' 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:
-2X2-4E1-ndD-1d+D-1X-ν2f0X+fnX=0,superscript2superscriptX24E1ndD1dD1Xsuperscriptν2subscriptf0XsubscriptfnX0\left[-{\partial^{2}\over\partial X^{2}}-~4E(1-n)\sqrt{d\over(D-1)(d+D-1)}~X-\nu^{2}\right]\left[f_{0}(X)+f_{n}(X)\right]=0,
End of MathML
.

Hit id72603

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 53
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/249/f099216.xhtml#id72603
no match at pos:293260(000062%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2fr2+1rfr+1a2-l2r2f-gh02D2f3=0,superscript2fsuperscriptr21rfr1superscripta2superscriptl2superscriptr2fgsubscripth02superscriptD2superscriptf30
End of MathML
.

Hit id74184

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 54
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/141/f056170.xhtml#id74184
no match at pos:331040(000072%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
st=sit+1-sit=DSiz2,TΨt4.8.avt=vi(t+1)-vi(t)=D|Siz,T]|Ψt4.8.b∂s∂t=-⁢si+t1⁢sit=⁡DSzi2TΨt⁢4.8.a∂v∂t=vi(t+1)-vi(t)=⟨D|Szi,T]|Ψ⟩t⁢4.8.b
End of MathML
.

Hit id74914

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 55
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/73/f029158.xhtml#id74914
no match at pos:321060(000038%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
dSF=Ddτ1dτ2sin(τ1-τ22)(i,j(2hi-1)λidλjDj(τ1)Di(τ2)++k,l(2hl-1)ρldρkD~k(τ1)D~l(τ2)).=⁢dSF∮∂D⁢dτ1dτ2sin(-τ1τ22)(∑ij(2hi-1)λidλj⟨Dj(τ1)Di(τ2)⟩++∑kl(2hl-1)ρldρk⟨~Dk(τ1)~Dl(τ2)⟩).
End of MathML
.

Hit id75374

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 56
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/81/f032211.xhtml#id75374
no match at pos:321976(000073%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1-αC˙SNR2SNRefffD2+C¨SNRSNRefffD2fD=01α˙CSNRsuperscript2subscriptSNReffsuperscriptsubscriptfD2¨CSNRsuperscriptsubscriptSNReffsubscriptfD2subscriptfD0
End of MathML
.

Hit id76048

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 57
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/209/f083487.xhtml#id76048
no match at pos:343369(000026%) VariableMap:[nu x 2, overline x 2, + x 3, mu x 4, l x 3, ( x 3, ) x 3, partial x 4, omega x 2, frac x 4, - x 3, 2 x 4, 1 x 4, 0, ] x 2, \ x 22, _ x 2, left x 2, ^ x 3, right x 2, =, [ x 2] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for 'triangle' 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:
μ1-μ2ω¯lμ+νν+1-l+1221-μ2ω¯l=0μ1superscriptμ2subscript¯ωlμνν1superscriptl1221superscriptμ2subscript¯ωl0\frac{\partial}{\partial\mu}\left[(1-\mu^{2})\frac{\partial\overline{\omega}_{l}}{\partial\mu}\right]+\left[\nu(\nu+1)-\frac{(l+\frac{1}{2})^{2}}{1-\mu^{2}}\right]\overline{\omega}_{l}=0
End of MathML
.

Hit id77164

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 58
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/11/f004059.xhtml#id77164
no match at pos:365765(000051%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
NP2nt2=-14=0.∂⟨→NP⟩2nsubscriptt2140.
End of MathML
.

Hit id77678

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 59
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/73/f029158.xhtml#id77678
no match at pos:361243(000043%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
iSF=2(hj-12)(λjdτ1dτ2sinτ1-τ22Di(τ1)Dj(τ2)0+λjλkdτ1dτ2dτ3sinτ1-τ22Di(τ1)Dj(τ2)Uk(τ3)0)∂iSF=2(hj-12)(λj∮dτ1dτ2sin-τ1τ22⟨Di(τ1)Dj(τ2)⟩0+λjλk∮dτ1dτ2dτ3sin-τ1τ22⟨Di(τ1)Dj(τ2)Uk(τ3)⟩0)
End of MathML
.

Hit id81270

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 60
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/100/f039665.xhtml#id81270
no match at pos:423127(000087%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
μ~=μ+1NH0δ~μμ1N∂⟨H′⟩0δ
End of MathML
.

Hit id84931

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 61
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/228/f090952.xhtml#id84931
no match at pos:493488(000058%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
SzxSz0=12πφsxxφs0x+[OSDW,z(x)OSDW,z(0)+h.c.]OSDW,zxOSDW,z0=18π2e-2ikFxei2πφcx-φc0ei2πφsx-φs0=18π2e-2ikFx1xKc+Ks⁢SzxSz0=1⁢2π⟨⁢∂φsx∂x⁢∂φs0∂x⟩+[⟨O⁢SDWz(x)O⁢SDWz†(0)⟩+h.c.]⁢O⁢SDWzxO⁢SDWz†0=⁢1⁢8π2e-⁢2ikFxe⁢i⁢2π-⁢φcx⁢φc0e⁢i⁢2π-⁢φsx⁢φs0=⁢1⁢8π2e-⁢2ikFx1x+KcKs
End of MathML
.

Hit id86124

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 62
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/209/f083438.xhtml#id86124
no match at pos:502541(000056%) VariableMap:[D x 2, b x 2, + x 3, ( x 2, N x 3, ) x 2, beta, partial x 5, , x 4, frac x 2, - x 3, 2, 1 x 2, 0 x 4, quad x 3, \ x 15, _ x 5, ^ x 4, rho x 2, phi x 2, = x 4, x x 3] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for 'triangle' 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:
Nx+=0,Nx-+β-1bρ2Nϕ=0,Dϕ-1bx+=0,Dρ=0,subscriptNsuperscriptx0subscriptNsuperscriptxβ1bsuperscriptρ2subscriptNϕ0subscriptDϕ1bsuperscriptx0subscriptDρ0\partial _{N}x^{+}=0,\quad\partial _{N}x^{-}+(\beta-\frac{1}{b})\rho^{2}\partial _{N}\phi=0,\quad\partial _{D}(\phi-\frac{1}{b}x^{+})=0,\quad\partial _{D}\rho=0,
End of MathML
.

Hit id89303

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 63
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/105/f041954.xhtml#id89303
no match at pos:541495(000078%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-A2BQ2CD=-2Q2ABCD+2QAQBCD+ABQCD-2AQ2BCD-2AQBQCD-AB2BQ2CD.=-⁢A∂2B∂Q2CD-⁢∂2∂Q2⁢ABCD+⋅⁢2∂∂Q+⁢∂A∂QBCD⁢AB∂∂Q⁢CD--⁢∂2A∂Q2BCD⁢⋅⁢2∂A∂QB∂∂Q⁢CD-⁢AB∂2B∂Q2⁢CD
End of MathML
.

Hit id99269

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 64
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/103/f041014.xhtml#id99269
no match at pos:680992(000093%) VariableMap:[] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 7 occurences for '\' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Df2n+Df2fn1u=nDlogu2u.superscriptDf2nsuperscriptDf2fn1unsuperscriptDu2u
End of MathML
.

Hit idm1008096

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 65
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/131/f052346.xhtml#idm1008096
no match at pos:64242(000039%) VariableMap:[ln, e x 2, +, (, N, rangle x 2, ), langle x 2, beta x 3, partial x 2, H x 2, ,, frac x 2, th x 2, -, 2 x 6, 1, displaystyle, epsilon x 3, \ x 16, _ x 2, ^ x 8, = x 2, Z] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
Hth2-Hth2=2lnZβ2=Nϵ2eβϵ(1+eβϵ)2,superscriptsubscriptHth2superscriptsubscriptHth2superscript2Zsuperscriptβ2Nsuperscriptϵ2superscripteβϵsuperscript1superscripteβϵ2\displaystyle\langle H_{{th}}^{2}\rangle-\langle H_{{th}}\rangle^{2}=\frac{\partial^{2}\ln Z}{\partial\beta^{2}}=N\frac{\epsilon^{2}e^{{\beta\epsilon}}}{(1+e^{{\beta\epsilon}})^{2}},
End of MathML
.

Hit idp1092384

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 66
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/130/f051937.xhtml#idp1092384
no match at pos:135309(000059%) VariableMap:[overline x 2, int, L x 3, ( x 3, rangle x 2, langle x 2, ) x 3, partial x 2, ,, frac x 2, -, 2 x 2, 1, 0, s x 2, displaystyle, Big x 4, ;, \ x 17, _, ^ x 2, y, ds, =, x] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for 'triangle' 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:
x(L)¯=L-120Lds(y(s)s)2¯,¯xLL12superscriptsubscript0Lds¯superscriptyss2\displaystyle\overline{\langle x(L)\rangle}=L-\frac{1}{2}\int _{0}^{L}ds\overline{\Big\langle\Big(\frac{\partial y(s)}{\partial s}\Big)^{2}\Big\rangle}\;,
End of MathML
.

Hit idp1101920

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 67
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/191/f076379.xhtml#idp1101920
no match at pos:138210(000067%) VariableMap:[D x 2, cos x 2, L, V x 2, sigma, alpha x 3, \ x 24, _ x 3, left x 3, ^, right x 3, phi, g x 2, + x 4, ( x 4, ) x 4, partial x 2, . x 2, omega x 3, frac x 4, - x 2, 2 x 2, 1 x 2, 0, tau x 2, |, =] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for 'triangle' 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:
ϕωσ=-DVg+L-DVg01+αcosωτ1+2αcosωτ+α2.evaluated-atϕωσDsubscriptVgLDsubscriptVg01αωτ12αωτsuperscriptα2\left.\frac{\partial\phi}{\partial\omega}\right|_{\sigma}=-\left(\frac{D}{V_{g}}+\frac{L-D}{V_{{g0}}}\right)\left(\frac{1+\alpha\cos(\omega\tau)}{1+2\alpha\cos(\omega\tau)+\alpha^{2}}\right).
End of MathML
.

Hit idp1290688

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 68
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/206/f082268.xhtml#idp1290688
no match at pos:159977(000041%) VariableMap:[hat x 2, lambda, gamma, ], \ x 16, epsilon x 2, left, ^, right, [, a x 2, + x 2, rangle x 2, ( x 2, langle x 2, ) x 2, ., partial x 2, - x 2, frac x 2, i, 2 x 2, 1 x 2, t, =] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
a^t=-γ2[(1-ϵ2)a^+iλ(1+ϵ)].^atγ21superscriptϵ2^aiλ1ϵ\frac{\partial\langle\hat{a}\rangle}{\partial t}=-\frac{\gamma}{2}\left[(1-\epsilon^{2})\langle\hat{a}\rangle+i\lambda(1+\epsilon)\right].
End of MathML
.

Hit idp1415616

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 69
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/205/f081867.xhtml#idp1415616
no match at pos:174044(000017%) VariableMap:[D, xi x 2, a x 2, n, +, Dw, (, ), ,, - x 2, frac x 2, 2 x 2, 1 x 3, \ x 16, left x 6, ^ x 3, | x 8, >, right x 6, =, <] Expects 4 occurences for 'D' but has only 1 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
|Dw||Dξ|=(1-|a|2|1-a,ξ|2)n+1DwDξsuperscript1superscripta2superscript1aξ2n1\frac{\left|Dw\right|}{\left|D\xi\right|}=\left(\frac{1-\left|a\right|^{2}}{\left|1-\left<a,\xi\right>\right|^{2}}\right)^{{n+1}}
End of MathML
.

Hit idp20062960

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 70
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/205/f081961.xhtml#idp20062960
no match at pos:277972(000033%) VariableMap:[D, E x 5, tilde x 4, xi x 2, ], \ x 28, left x 2, _ x 7, ^ x 2, right x 2, [, g x 4, + x 2, rangle x 2, ( x 3, langle x 2, ) x 3, ., partial x 8, omega, ,, frac x 5, i, -, 2 x 2, v x 2, 1 x 2, 0, ;, z x 4, y x 4, =] Expects 4 occurences for 'D' but has only 1 Expects 1 occurences for 'triangle' 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:
g~zvz+iωg~(z;ξ,Ey)(1-vz)=D0[Ey(Eyg~Ey)+1E2g~ξ2].~gzsubscriptvziω~gzξsubscriptEy1subscriptvzsubscriptD0subscriptEysubscriptEy~gsubscriptEy1Esuperscript2~gsuperscriptξ2\frac{\partial\tilde{g}}{\partial z}\langle v_{{z}}\rangle+i\omega\tilde{g}(z;\xi,E_{{y}})(1-\langle v_{{z}}\rangle)=D_{0}\left[\frac{\partial}{\partial E_{{y}}}\left(E_{{y}}\frac{\partial\tilde{g}}{\partial E_{{y}}}\right)+\frac{1}{E}\frac{\partial^{2}\tilde{g}}{\partial\xi^{2}}\right].
End of MathML
.

Hit idp20666736

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 71
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/16/f006078.xhtml#idp20666736
no match at pos:203135(000037%) VariableMap:[D x 2, sum, N, kP, R x 2, \ x 23, left, _ x 5, ^ x 10, right, rho x 2, overline, n x 2, + x 3, ( x 5, rangle x 4, ) x 5, langle x 4, ., k x 11, /, frac, - x 3, prime x 4, 2 x 5, 1 x 4, 0 x 2, displaystyle, ; x 3, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 1 Expects 1 occurences for 'triangle' 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:
Dkn=2N¯(R0-1)2ρR02k2k(1+k/k2+ρ)kP(k)kDkn-1(k-1)(k+k).superscriptsubscriptDkn2¯NsuperscriptsubscriptR012ρsuperscriptsubscriptR02superscriptk2k1ksuperscriptk2ρkPksubscriptsuperscriptksuperscriptsubscriptDsuperscriptkn1superscriptk1ksuperscriptk\displaystyle D_{{k}}^{{n}}=\frac{2\overline{N}(R_{{0}}-1)^{2}\rho}{R_{{0}}^{{2}}\langle k^{{2}}\rangle\langle k\rangle(1+\langle k\rangle/\langle k^{2}\rangle+\rho)}kP(k)\sum _{{k^{{\prime}}}}D_{{k^{{\prime}}}}^{{n-1}}(k^{{\prime}}-1)\left(k+k^{{\prime}}\right)\;\;\;.
End of MathML
.

Hit idp20866256

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 72
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/207/f082476.xhtml#idp20866256
no match at pos:160162(000057%) VariableMap:[A, H x 3, eff x 2, dot x 2, psi x 3, ], \ x 23, _ x 3, left x 2, ^ x 3, right x 2, [, a x 2, +, rangle x 2, ( x 2, ) x 2, langle x 2, partial x 2, ,, -, frac x 4, 2 x 5, 1 x 2, 0, bar x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for 'triangle' 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:
(1aeffaeffA0)2=H2[1+2Hψ¯ψ¯˙-2Hψ¯˙(2)]superscript1subscriptaeffsubscriptaeffsubscriptA02superscriptH212H¯ψ˙¯ψ2Hsuperscript˙¯ψ2\left(\frac{1}{a_{{eff}}}\frac{\partial\, a_{{eff}}}{\partial A_{0}}\right)^{2}=H^{2}\left[1+\frac{2}{H}\langle\bar{\psi}\dot{\bar{\psi}}\rangle-\frac{2}{H}\langle\dot{\bar{\psi}}^{{(2)}}\rangle\right]
End of MathML
.

Hit idp20924560

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 73
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/112/f044696.xhtml#idp20924560
no match at pos:166536(000052%) VariableMap:[F x 3, rm, L, lambda x 2, ], \ x 41, _ x 8, left x 4, ^ x 6, right x 4, [, phi x 10, f x 4, b, int, a, delta x 2, * x 2, + x 2, partial x 10, frac x 6, -, 2 x 2, 1, mathcal, displaystyle, 4, ab x 4, > x 3, =, < x 3] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
Lint=-14fab[2fabϕ2Fϕ+fabϕFϕϕδϕ+fabϕFϕϕ*δϕ*]λaλbsubscriptLint14subscriptfabsuperscript2subscriptfabsuperscriptϕ2subscriptFϕsubscriptfabϕsubscriptFϕϕδϕsubscriptfabϕsubscriptFϕsuperscriptϕδsuperscriptϕsuperscriptλasuperscriptλb\displaystyle{\mathcal{L}}_{{\rm{int}}}=-\frac{1}{4\left<f_{{ab}}\right>}\left[\left<\frac{\partial^{2}f_{{ab}}}{\partial\phi^{2}}F_{\phi}+\frac{\partial f_{{ab}}}{\partial\phi}\frac{\partial F_{\phi}}{\partial\phi}\right>\delta\phi+\left<\frac{\partial f_{{ab}}}{\partial\phi}\frac{\partial F_{\phi}}{\partial\phi^{*}}\right>\delta\phi^{*}\right]\lambda^{a}\lambda^{b}
End of MathML
.

Hit idp21068592

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 74
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/114/f045382.xhtml#idp21068592
no match at pos:185318(000091%) VariableMap:[E, W, \ x 21, _, ^ x 4, rho, d x 2, b, int x 2, +, mu, rangle x 3, cdot, langle x 3, ., j, partial x 4, frac x 4, -, 3 x 2, v, 2 x 4, t x 2, 0, r x 2, = x 2, vec x 2] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'triangle' 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:
Wt=tρv22+b22μ0d3r=-jEd3r.Wttρsuperscriptv22superscriptb22subscriptμ0superscriptd3rjEsuperscriptd3r\frac{\partial\langle W\rangle}{\partial t}=\frac{\partial}{\partial t}\int\langle\rho\frac{v^{2}}{2}+\frac{b^{2}}{2\mu _{0}}\rangle d^{3}r=-\int\langle\vec{j}\cdot\vec{E}\rangle d^{3}r.
End of MathML
.

Hit idp21207952

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 75
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/202/f080728.xhtml#idp21207952
no match at pos:205810(000010%) VariableMap:[D, sum, M x 3, ], \ x 29, _ x 7, left x 6, ^ x 11, rho, right x 6, phi x 2, [, delta, a x 4, +, ( x 4, rangle, langle, ) x 4, ., partial x 4, k x 3, frac x 4, prime, 2 x 7, 1 x 2, 0 x 3, 6, 4, ;, =, x x 2] Expects 4 occurences for 'D' but has only 1 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for 'triangle' 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:
a(δρk)2=12a0DM[(ϕkxM)2a02+(2ϕk(xM)2)2a0416].superscriptasuperscriptδsubscriptρk212superscriptsubscripta0DsubscriptMsuperscriptsubscriptϕksuperscriptxM2superscriptsubscripta02superscriptsuperscript2subscriptϕksuperscript(superscriptxM)22superscriptsubscripta0416a^{{\prime}}\left\langle\left(\delta\rho _{{k}}\right)^{{2}}\right\rangle=\frac{1}{2a_{{0}}^{{D}}}\sum _{{M}}\left[\left(\frac{\partial\phi _{{k}}}{\partial x^{{M}}}\right)^{{2}}a_{{0}}^{{2}}+\left(\frac{\partial^{{2}}\phi _{{k}}}{\partial\left(x^{{M}}\right)^{{2}}}\right)^{{2}}\frac{a_{{0}}^{{4}}}{16}\right]\;.
End of MathML
.

Hit idp21387824

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 76
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f080858.xhtml#idp21387824
no match at pos:217914(000034%) VariableMap:[C, I, \ x 20, _ x 2, left x 2, ^ x 6, right x 2, delta, n, + x 2, rangle x 3, ( x 2, langle x 3, ) x 2, partial x 3, /, k x 7, , x 3, kn, -, frac x 3, 2 x 4, 1 x 2, displaystyle, 4, ~ x 4, | x 2, =, x x 3] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2Ixnxk=(1+k2)4k2  Ck|xk|-2(1+k)/kδkn,superscript2Isuperscriptxnsuperscriptxk1k24superscriptk2subscriptCksuperscriptsuperscriptxk21kksubscriptδkn\displaystyle\frac{\partial^{2}I}{\partial\langle x^{n}\rangle\partial\langle x^{k}\rangle}\,=\,\left(1+\frac{k}{2}\right)\frac{4}{k^{2}}~{}~{}C_{k}~{}\left|\langle{x}^{{k}}\rangle\right|^{{-{2}(1+k)/{k}}}~{}\delta _{{kn}},
End of MathML
.

Hit idp22013312

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 77
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/128/f050886.xhtml#idp22013312
no match at pos:315827(000025%) VariableMap:[B x 2, M x 2, rangle x 2, langle x 2, ., partial x 2, frac x 2, 2, T, 1, 0, chi, \ x 11, _, left, ^, |, right, = x 3] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for 'triangle' 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:
χ=MB|B=0=1TM2χevaluated-atMBB01TsuperscriptM2\chi=\left.\langle\frac{\partial M}{\partial B}\rangle\right|_{{B=0}}=\frac{1}{T}\langle M^{2}\rangle
End of MathML
.

Hit idp22167344

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 78
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/15/f005683.xhtml#idp22167344
no match at pos:338459(000023%) VariableMap:[D x 2, F, theta x 4, A, B, C x 2, psi, ], epsilon x 3, \ x 24, left, _ x 3, ^ x 6, dots, right, [, phi, ! x 3, + x 2, ABCD x 2, rangle x 3, langle x 3, omega, , x 2, - x 2, frac x 3, i x 2, 3, 2, 1, AB, 4, | x 2, bar, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ω=ϵAθB[-i2!ϕ¯AB+13!ϵABCDθCψD-i4!ϵABCD<θC|F|θD>+],ωsuperscriptϵAsuperscriptθBi2subscript¯ϕAB13subscriptϵABCDsuperscriptθCsuperscriptψDi4subscriptϵABCDinner-productbrasuperscriptθCFketsuperscriptθD\omega=\langle{\epsilon^{{A}}\theta^{B}}\rangle\left[-\frac{i}{2!}\bar{\phi}_{{AB}}+\frac{1}{3!}\epsilon _{{ABCD}}\langle{\theta^{C}\psi^{D}}\rangle-\frac{i}{4!}\epsilon _{{ABCD}}\langle{\theta^{C}|F|\theta^{D}}\rangle+\dots\right]\,,
End of MathML
.

Hit idp22207104

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 79
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/169/f067499.xhtml#idp22207104
found all required tokens in TeX $\displaystyle\left\langle{k_{\mu}k_{\nu}\over D_{0}D_{1}D_{2}}\right\rangle _{D}=\left({1\over i}{\partial\over\partial a^{\mu}}\right)\left({1\over i}{\partial\over\partial a^{\nu}}\right)\left\langle{1\over D_{0}D_{1}D_{2}}e^{{ia\cdot k}}\right\rangle _{D}\bigg|_{{a=0}}\,.$ at pos:347865(22%) Scoringfunction: ' + TeX_HIT_SCORE + NaN * WORD_SCORE[of] + 1.99609375 * TOKEN_SCORE[D] + 1.0 * TOKEN_SCORE[+] + 1.75 * TOKEN_SCORE[rangle] + 1.75 * TOKEN_SCORE[langle] + 1.9375 * TOKEN_SCORE[partial] + 1.5 * TOKEN_SCORE[,] + 1.0 * TOKEN_SCORE[frac] + 1.0 * TOKEN_SCORE[-] + 1.75 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[0] + 1.0 * TOKEN_SCORE[triangle] + 1.9999999990686774 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[|] + 1.875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+NaN*0.0833397735003705+1.99609375*1.19908411364069+1.0*0.0160883895861106+1.75*1.45967258189661+1.75*2.32520799892597+1.9375*1.25417908558971+1.5*2.82855+1.0*0.0366287198730455+1.0*0.0154682311502303+1.75*0.00999347474837536+1.96875*0.0102451205633244+1.875*0.0483458611105983+1.0*90.4040391913438+1.9999999990686774*5.92879328325965E-4+1.5*0.0975909302497933+1.875*0.00338742677192689+1.75*2.678806489 = NaN' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
kμkνD0D1D2D=(1iaμ)(1iaν)1D0D1D2eiakD|a=0.subscriptsubscriptkμsubscriptkνsubscriptD0subscriptD1subscriptD2Devaluated-at1isuperscriptaμ1isuperscriptaνsubscript1subscriptD0subscriptD1subscriptD2superscripteiakDa0\displaystyle\left\langle{k_{\mu}k_{\nu}\over D_{0}D_{1}D_{2}}\right\rangle _{D}=\left({1\over i}{\partial\over\partial a^{\mu}}\right)\left({1\over i}{\partial\over\partial a^{\nu}}\right)\left\langle{1\over D_{0}D_{1}D_{2}}e^{{ia\cdot k}}\right\rangle _{D}\bigg|_{{a=0}}\,.
End of MathML
.

Hit idp22716416

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 80
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/115/f045987.xhtml#idp22716416
no match at pos:378856(000040%) VariableMap:[Phi x 2, widetilde, +, rangle, N, langle, ., partial x 2, H, frac x 2, w, 2 x 3, 1 x 2, ; x 4, \ x 13, _ x 2, ^ x 2, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
1N2H~w2=Φ1+Φ2.1Nsuperscript2~Hsuperscriptw2subscriptΦ1subscriptΦ2\frac{1}{N}\;\langle\;\frac{\partial^{2}\widetilde{H}}{\partial w^{2}}\;\rangle=\Phi _{1}+\Phi _{2}\;.
End of MathML
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Hit idp27303312

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 81
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/129/f051481.xhtml#idp27303312
no match at pos:1022959(000068%) VariableMap:[D x 3, A x 2, J, perp x 2, epsilon, \ x 26, _ x 7, left x 5, ^ x 2, right x 5, g, delta x 4, ij, + x 2, ( x 8, mathrm x 3, ) x 8, j x 2, partial x 2, i, - x 3, frac x 2, 2 x 2, 0 x 2, displaystyle x 2, 4 x 3, >, z x 3, =, <] Expects 4 occurences for 'D' but has only 3 Expects 1 occurences for 'rangle' but has only 0 Expects 1 occurences for 'langle' 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 'triangle' 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:
Jg(4D)i(z)=-(δ(z-δ2)+δ(z+δ2))ϵij(0Aj(4D)-jA0(4D))subscriptsuperscriptJig4Dzδzsubscriptδperpendicular-to2δzsubscriptδperpendicular-to2superscriptϵijsubscript0subscriptAj4DsubscriptjsubscriptA04D\displaystyle\displaystyle\left<J^{i}_{{g\mathrm{(4D)}}}\right>(z)=-\left(\delta\left(z-\frac{\delta _{\perp}}{2}\right)+\delta\left(z+\frac{\delta _{\perp}}{2}\right)\right)\epsilon^{{ij}}\left(\partial _{0}A_{{j\mathrm{(4D)}}}-\partial _{j}A_{{0\mathrm{(4D)}}}\right)
End of MathML
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Hit idp29017552

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 82
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/204/f081433.xhtml#idp29017552
no match at pos:1228463(000065%) VariableMap:[E x 5, C x 3, L x 6, psi x 2, \ x 37, _ x 14, ^ x 11, phi x 11, +, (, rangle x 6, ), langle x 6, ., partial x 5, , x 8, frac x 3, - x 3, 3, 2 x 14, 1 x 4, quad x 2, chi x 2, p x 7, = x 3] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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=p(2p+1)Eϕ,ϕ2p-1ψ2L2Eϕ,ϕL2,C2=pEϕ,ϕ2p-1χ2L2Eϕ,ϕL2,C3=-2pψ,ϕ2pχL2Eϕ,ϕL2.subscriptC1p2p1subscriptsubscriptEϕsuperscriptϕ2p1superscriptψ2superscriptL2subscriptsubscriptEϕϕsuperscriptL2subscriptC2psubscriptsubscriptEϕsuperscriptϕ2p1superscriptχ2superscriptL2subscriptsubscriptEϕϕsuperscriptL2subscriptC32psubscriptψsuperscriptϕ2pχsuperscriptL2subscriptsubscriptEϕϕsuperscriptL2C_{1}=p(2p+1)\frac{\langle\partial _{E}\phi,\phi^{{2p-1}}\psi^{2}\rangle _{{L^{2}}}}{\langle\partial _{E}\phi,\phi\rangle _{{L^{2}}}},\quad C_{2}=p\frac{\langle\partial _{E}\phi,\phi^{{2p-1}}\chi^{2}\rangle _{{L^{2}}}}{\langle\partial _{E}\phi,\phi\rangle _{{L^{2}}}},\quad C_{3}=-2p\frac{\langle\psi,\phi^{{2p}}\chi\rangle _{{L^{2}}}}{\langle\partial _{E}\phi,\phi\rangle _{{L^{2}}}}.
End of MathML
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Hit idp29912160

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 83
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp29912160
no match at pos:1353714(000084%) VariableMap:[D x 3, coth x 2, A x 2, B x 2, lvert, \ x 31, left x 6, _, ^ x 4, right x 6, f x 2, g x 3, sqrt x 3, + x 2, mu x 2, rvert, rangle x 3, ( x 3, ) x 3, langle x 3, , x 4, frac x 3, - x 2, 2 x 3, 1 x 2, t x 3, displaystyle, 4, =] Expects 4 occurences for 'D' but has only 3 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
Aμ,μ=14|f|A-12-coth(tD)Df,g+coth2(tD)2(B+Bt)g,g,Aμμ14superscriptsubscriptfsuperscriptA12hyperbolic-cotangenttDDfgsuperscripthyperbolic-cotangent2tD2BsuperscriptBtgg\displaystyle\left\langle A\mu,\mu\right\rangle=\frac{1}{4}\lvert f\rvert _{{A^{{-1}}}}^{{2}}-\left\langle\frac{\coth\left(t\sqrt{D}\right)}{\sqrt{D}}f,g\right\rangle+\left\langle\frac{\coth^{{2}}\left(t\sqrt{D}\right)}{2\left(B+B^{{t}}\right)}g,g\right\rangle,
End of MathML
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Hit idp29990080

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 84
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp29990080
no match at pos:1364843(000084%) VariableMap:[D x 2, coth, A, tr, B x 2, dot, W x 2, lvert, hbox, ], \ x 23, _, left x 5, ^ x 5, right x 5, [, f, g x 2, varphi, sqrt x 2, + x 2, rvert, rangle, ( x 3, langle, ) x 3, ., h, ,, frac x 3, - x 5, 2 x 4, 1 x 4, t x 4, 4, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
W-1W˙=-12ttr[φ(tD)]-14|f|A-12+coth2(tD)2(B+Bt)g,g-h.superscriptW1˙W12ttrφtD14superscriptsubscriptfsuperscriptA12superscripthyperbolic-cotangent2tD2BsuperscriptBtgghW^{{-1}}\dot{W}=\frac{-1}{2t}\hbox{tr}\left[\varphi\left(t\sqrt{D}\right)\right]-\frac{1}{4}\lvert f\rvert _{{A^{{-1}}}}^{{2}}+\left\langle\frac{\coth^{{2}}\left(t\sqrt{D}\right)}{2\left(B+B^{{t}}\right)}g,g\right\rangle-h.
End of MathML
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Hit idp30038016

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 85
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp30038016
no match at pos:1371550(000085%) VariableMap:[D, A x 2, W x 2, lvert, \ x 13, _ x 3, left x 3, ^ x 4, right x 3, phi, f, g x 2, e, sqrt, rvert, + x 2, rangle, ( x 3, langle, ) x 3, ,, h, - x 2, frac, 3, 2, 1 x 2, 0, t x 4, 4, =] Expects 4 occurences for 'D' but has only 1 Expects 2 occurences for 'partial' but has only 0 Expects 2 occurences for 'frac' but has only 1 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for 'triangle' 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:
W(t)=W0e-(14|f|A-12+h)t+ϕ(tD)g,gAt3WtsubscriptW0superscripte14superscriptsubscriptfsuperscriptA12htsubscriptϕtDggAsuperscriptt3W(t)=W_{{0}}e^{{-\left(\frac{1}{4}\lvert f\rvert _{{A^{{-1}}}}^{{2}}+h\right)t+\left\langle\phi\left(t\sqrt{D}\right)g,g\right\rangle _{{A}}t^{{3}}}}
End of MathML
.

Hit idp3010720

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 86
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/13/f005188.xhtml#idp3010720
no match at pos:381130(000047%) VariableMap:[+, rangle x 3, Omega x 3, langle x 3, partial x 8, Gamma, -, frac x 4, 2 x 6, displaystyle, alpha x 8, ] x 2, \ x 41, _ x 4, left x 5, ^ x 6, right x 5, [ x 2, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
2Γαα2=2Ωα2α+[Ωα]2α-[Ωαα]2superscript2subscriptΓαsuperscriptα2subscriptsuperscript2Ωsuperscriptα2αsubscriptsuperscriptΩα2αsuperscriptsubscriptΩαα2\displaystyle\frac{\partial^{2}\Gamma _{{\alpha}}}{\partial{\alpha}^{2}}=\left\langle\frac{\partial^{2}{\Omega}}{\partial\alpha^{2}}\right\rangle _{{\alpha}}+\left\langle\left[\frac{\partial{\Omega}}{\partial\alpha}\right]^{2}\right\rangle _{{\alpha}}-\left[\left\langle\frac{\partial{\Omega}}{\partial\alpha}\right\rangle _{{\alpha}}\right]^{2}
End of MathML
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Hit idp30152128

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 87
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp30152128
no match at pos:1386204(000086%) VariableMap:[D x 2, det x 2, A x 3, W, lvert, psi, \ x 25, _ x 2, left x 5, ^ x 6, right x 5, phi, f, g x 2, e, sqrt x 2, n, + x 2, rvert, rangle, ( x 5, langle, ) x 5, ., ,, h, frac x 4, - x 3, 3, 2 x 3, 1 x 3, t x 5, 4 x 2, pi, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
W=(4πt)-n2(detψ(tD)detA)12e-(14|f|A-12+h)t+ϕ(tD)g,gAt3.Wsuperscript4πtn2superscriptψtDA12superscripte14superscriptsubscriptfsuperscriptA12htsubscriptϕtDggAsuperscriptt3W=(4\pi t)^{{-\frac{n}{2}}}\left(\frac{\det\psi\left(t\sqrt{D}\right)}{\det A}\right)^{{\frac{1}{2}}}e^{{-\left(\frac{1}{4}\lvert f\rvert _{{A^{{-1}}}}^{{2}}+h\right)t+\left\langle\phi\left(t\sqrt{D}\right)g,g\right\rangle _{{A}}t^{{3}}}}.
End of MathML
.

Hit idp30248976

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 88
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081135.xhtml#idp30248976
no match at pos:1399382(000086%) VariableMap:[D x 2, det x 2, A x 3, lvert, psi, \ x 26, _ x 2, left x 5, ^ x 6, right x 5, phi, f, g x 2, e, sqrt x 2, n, + x 2, rvert, rangle, ( x 5, langle, ) x 5, ,, h, frac x 4, - x 3, 3, 2 x 3, 1 x 3, t x 5, displaystyle, 4 x 2, pi, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
=(4πt)-n2(detψ(tD)detA)12e-(14|f|A-12+h)t+ϕ(tD)g,gAt3absentsuperscript4πtn2superscriptψtDA12superscripte14superscriptsubscriptfsuperscriptA12htsubscriptϕtDggAsuperscriptt3\displaystyle=(4\pi t)^{{-\frac{n}{2}}}\left(\frac{\det\psi\left(t\sqrt{D}\right)}{\det A}\right)^{{\frac{1}{2}}}e^{{-\left(\frac{1}{4}\lvert f\rvert _{{A^{{-1}}}}^{{2}}+h\right)t+\left\langle\phi\left(t\sqrt{D}\right)g,g\right\rangle _{{A}}t^{{3}}}}
End of MathML
.

Hit idp30347360

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 89
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/17/f006455.xhtml#idp30347360
no match at pos:1389800(000087%) VariableMap:[D, theta, L, beta x 2, T, \ x 12, left, _ x 3, ^ x 5, right, e, varphi, + x 2, rangle, ( x 2, m x 2, ) x 2, langle, k x 2, / x 2, - x 2, frac, 2 x 6, 1 x 3, 0, displaystyle, | x 6, =] Expects 4 occurences for 'D' but has only 1 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 1 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=1-e-2Tβ|k|2/(m+1)2β|k|2/(m+1)Dθφ0L22absent1superscripte2Tβsuperscriptk2m12βsuperscriptk2m1superscriptsubscriptnormsubscriptDθsubscriptφ0superscriptL22\displaystyle=\frac{1-e^{{-2T\beta|k|^{{2/(m+1)}}}}}{2\beta|k|^{{2/(m+1)}}}\|\left\langle D_{\theta}\right\rangle\varphi _{0}\| _{{L^{2}}}^{2}
End of MathML
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Hit idp3057200

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 90
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/207/f082579.xhtml#idp3057200
no match at pos:395892(000045%) VariableMap:[Delta, varepsilon x 3, U x 3, V, nabla, \ x 19, _ x 2, left x 2, ^ x 4, right x 2, +, rangle, ( x 2, ) x 2, langle, partial, , x 3, i, frac x 2, -, 2 x 3, 1 x 2, t x 2, mathcal x 3, displaystyle, q, z x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 2 occurences for 'partial' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
=itUε+12ΔzUε-12z,2V(q(t))zUε,absentisubscripttsuperscriptUε12subscriptΔzsuperscriptUε12zsuperscript2VqtzsuperscriptUε\displaystyle=i{\partial}_{t}{\mathcal{U}}^{\varepsilon}+\frac{1}{2}\Delta _{z}{\mathcal{U}}^{\varepsilon}-\frac{1}{2}\left\langle z,\nabla^{2}V\left(q(t)\right)z\right\rangle\,{\mathcal{U}}^{\varepsilon},
End of MathML
.

Hit idp484944

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 91
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/203/f081064.xhtml#idp484944
no match at pos:58324(000027%) VariableMap:[F, + x 3, rangle, ( x 2, langle, ) x 2, partial x 8, omega x 2, ,, frac x 7, 2, v x 4, W, 1 x 2, r x 3, 4, p x 2, tau x 2, \ x 22, _, ^, pi, =] Expects 4 occurences for 'D' but has only 0 Expects 1 occurences for '-' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
1ω(pr+vpτ)+1W2(vτ+vvr)=Fr4πω,1ωprvpτ1superscriptW2vτvvrsubscriptFr4πω\frac{1}{\omega}(\frac{\partial p}{\partial r}+v\frac{\partial p}{\partial\tau})+\frac{1}{W^{{2}}}(\frac{\partial v}{\partial\tau}+v\frac{\partial v}{\partial r})=\frac{\langle F_{r}\rangle}{4\pi\omega},
End of MathML
.

Hit idp5082976

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 92
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/59/f023582.xhtml#idp5082976
no match at pos:625418(000089%) VariableMap:[e, +, mathrm, (, rangle x 2, ), langle x 2, k x 3, , x 3, - x 2, frac x 2, tanh, T x 2, v x 2, 2 x 2, 1, 0, \ x 13, _, left, ^, right, =, x] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for 'triangle' 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:
v=2ktanh(kT2)e-kT-1x+v0v2kkT2superscriptekT1xsubscriptv0\langle v\rangle=\frac{2k\,\tanh\left(\frac{k\, T}{2}\right)}{{\mathrm{e}}^{{-k\, T}}-1}\langle x\rangle+v_{0}
End of MathML
.

Hit idp5659856

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 93
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/206/f082397.xhtml#idp5659856
no match at pos:721625(000075%) VariableMap:[D x 2, ln, A x 2, ast x 2, beta x 2, S x 7, loop, ] x 3, \ x 29, left x 5, _ x 8, ^ x 2, right x 5, [ x 3, int x 2, a x 4, + x 2, rangle x 2, ( x 2, langle x 2, ) x 2, , x 3, frac x 4, - x 5, 3 x 3, exp x 2, 2 x 4, 1 x 3, mathcal x 2, 4 x 2, =] Expects 4 occurences for 'D' but has only 2 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
-1βA[lnD[a,a]exp-(S2+S3+S4)D[a,a]exp-S2]2-loop=1βA(S4-12S3S3),1βAsubscriptDsuperscriptaasubscriptS2subscriptS3subscriptS4DsuperscriptaasubscriptS22loop1βAsubscriptS412subscriptS3subscriptS3-\frac{1}{\beta A}\left[\ln\frac{\int\mathcal{D}[a^{{\ast}},a]\exp-\left(S_{{2}}+S_{{3}}+S_{{4}}\right)}{\int\mathcal{D}[a^{{\ast}},a]\exp-S_{{2}}}\right]_{{2-loop}}=\frac{1}{\beta A}\left(\left\langle S_{{4}}\right\rangle-\frac{1}{2}\left\langle S_{{3}}S_{{3}}\right\rangle\right),
End of MathML
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Hit idp619872

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 94
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/205/f081820.xhtml#idp619872
no match at pos:74479(000030%) VariableMap:[to, lim, +, rangle x 4, langle x 4, infty, -, frac, 3 x 3, 2, 1 x 4, t x 2, Q x 4, displaystyle, \ x 13, _ x 5, ^ x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 1 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for 'frac' but has only 1 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
limtQ13-3Q12Q1+Q13t=subscripttsuperscriptsubscriptQ133superscriptsubscriptQ12subscriptQ1superscriptsubscriptQ13tabsent\displaystyle\lim _{{t\to\infty}}\frac{\langle Q_{1}^{3}\rangle-3\langle Q_{1}^{2}\rangle\langle Q_{1}\rangle+\langle Q_{1}\rangle^{3}}{t}=
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Hit idp6441424

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 95
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/59/f023405.xhtml#idp6441424
no match at pos:851269(000091%) VariableMap:[dt, beta, J x 3, tanh, sigma x 3, \ x 22, _ x 3, ^, Theta, d, + x 2, rangle x 4, (, langle x 4, ), ,, frac x 4, -, prime, 2, 1 x 5, displaystyle, tau x 2, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 2 occurences for '2' but has only 1 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
dJσ1dt=-1τJσ1+1Θtanh(β)σ2+1τJ,dJsubscriptσ1dt1superscriptτJsubscriptσ11Θβsubscriptσ21τJ\displaystyle\frac{d\langle J\sigma _{1}\rangle}{dt}=-\frac{1}{\tau^{{\prime}}}\langle J\sigma _{1}\rangle+\frac{1}{\Theta}\tanh(\beta)\langle\sigma _{2}\rangle+\frac{1}{\tau}\langle J\rangle,
End of MathML
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Hit idp6476928

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 96
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/59/f023405.xhtml#idp6476928
no match at pos:856039(000091%) VariableMap:[dt, beta, J x 3, tanh, sigma x 3, \ x 22, _ x 3, ^, Theta, d, + x 2, rangle x 4, (, langle x 4, ), ,, frac x 4, -, prime, 2 x 2, 1 x 4, displaystyle, tau x 2, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for 'partial' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
dJσ2dt=-1τJσ2+1Θtanh(β)σ1+1τJ,dJsubscriptσ2dt1superscriptτJsubscriptσ21Θβsubscriptσ11τJ\displaystyle\frac{d\langle J\sigma _{2}\rangle}{dt}=-\frac{1}{\tau^{{\prime}}}\langle J\sigma _{2}\rangle+\frac{1}{\Theta}\tanh(\beta)\langle\sigma _{1}\rangle+\frac{1}{\tau}\langle J\rangle,
End of MathML
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Hit idp754656

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 97
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/113/f044850.xhtml#idp754656
no match at pos:90712(000033%) VariableMap:[ln, n x 3, M x 3, rangle x 4, langle x 4, ., H x 2, partial x 2, -, frac x 2, K, \ x 13, ^ x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
lnMnK=MnHMn-H.superscriptMnKsuperscriptMnHsuperscriptMnH\frac{\partial\ln\langle M^{{n}}\rangle}{\partial K}=\frac{\langle M^{{n}}H\rangle}{\langle M^{{n}}\rangle}-\langle H\rangle.
End of MathML
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Hit idp771344

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 98
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/115/f045778.xhtml#idp771344
no match at pos:98260(000035%) VariableMap:[ln, n x 3, M x 3, rangle x 4, langle x 4, H x 2, partial x 2, ,, -, frac x 2, K, \ x 13, ^ x 3, =] Expects 4 occurences for 'D' but has only 0 Expects 2 occurences for '+' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' 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:
lnMnK=MnHMn-H,superscriptMnKsuperscriptMnHsuperscriptMnH\frac{\partial\ln\langle M^{{n}}\rangle}{\partial K}=\frac{\langle M^{{n}}H\rangle}{\langle M^{{n}}\rangle}-\langle H\rangle,
End of MathML
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Hit idp877424

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 99
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/129/f051546.xhtml#idp877424
no match at pos:106686(000018%) VariableMap:[D x 2, E, A x 2, B x 2, C x 3, x 4, H x 5, I x 6, ] x 3, bf x 10, epsilon x 8, \ x 78, _ x 20, left x 3, ^ x 5, right x 3, phi x 4, [ x 3, end x 3, & x 6, c x 6, hline x 3, + x 2, rangle x 4, ( x 3, langle x 4, ) x 3, ., j x 5, partial x 14, i x 5, frac x 5, - x 2, begin x 3, 2 x 5, 1 x 8, 0 x 2, displaystyle x 6, | x 3, = x 3, array x 6] Expects 4 occurences for 'D' but has only 2 Expects 1 occurences for ',' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
E=(ABCD)=(ϵA1ϵB1C0+ϵC1ϵD1)=(-ϵ2H1ϕiIj-ϵ2H1ϕiϕj2H0IiIj+ϵ2H1IiIjϵ2H1ϕjIi).EABCD⁢ϵA1⁢ϵB1+C0⁢ϵC1⁢ϵD1-⁢ϵ∂2H1⁢∂ϕi∂Ij-⁢ϵ∂2H1⁢∂ϕi∂ϕj+∂2H0∂⁢IiIj⁢ϵ∂2H1⁢∂Ii∂Ij⁢ϵ∂2H1⁢∂ϕj∂Ii\displaystyle\bf E=\left(\begin{array}[]{c|c}\bf A&\bf B\\ \hline\bf C&\bf D\end{array}\right)=\left(\begin{array}[]{c|c}\epsilon\bf A_{1}&\epsilon\bf B_{1}\\ \hline\bf C_{0}+\epsilon\bf C_{1}&\epsilon\bf D_{1}\end{array}\right)=\left(\begin{array}[]{c|c}-\epsilon\displaystyle\frac{\partial^{2}\langle H_{1}\rangle}{\partial\phi _{i}\partial I_{j}}&-\epsilon\displaystyle\frac{\partial^{2}\langle H_{1}\rangle}{\partial\phi _{i}\partial\phi _{j}}\\ \hline\\ \displaystyle\frac{\partial^{2}H_{0}}{\partial I_{i}I_{j}}+\displaystyle\epsilon\frac{\partial^{2}\langle H_{1}\rangle}{\partial I_{i}\partial I_{j}}&\displaystyle\epsilon\frac{\partial^{2}\langle H_{1}\rangle}{\partial\phi _{j}\partial I_{i}}\end{array}\right).
End of MathML
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Hit idp968880

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 100
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/207/f082527.xhtml#idp968880
no match at pos:121315(000057%) VariableMap:[D, F, a, +, rangle, ( x 7, langle, ) x 7, ., partial x 4, J, - x 3, frac x 2, P, displaystyle x 2, ], \ x 12, left, ^ x 7, right, z x 3, [, y x 7] Expects 4 occurences for 'D' but has only 1 Expects 2 occurences for '+' but has only 1 Expects 1 occurences for ',' but has only 0 Expects 2 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for '0' but has only 0 Expects 1 occurences for 'triangle' but has only 0 Expects 2 occurences for '|' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-z(y)[-a(y)z(y)+J(y)F(y)-D(y)z(y)]P.superscriptzysuperscriptaysuperscriptzysuperscriptJysuperscriptFysuperscriptDysuperscriptzyP\displaystyle-\displaystyle\frac{\partial}{\partial z^{{(y)}}}\left[-a^{{(y)}}z^{{(y)}}+J^{{(y)}}\langle F^{{(y)}}\rangle-D^{{(y)}}\frac{\partial}{\partial z^{{(y)}}}\right]P.
End of MathML
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