# Divergence

Submitted by schubotz on

# Results for NTCIR10-FT-4

## Query

### Original Query

### Compiled by FSE

#### Token-Filter

- TeXFilter:
`[+, N x 2, (, ), /, infty, 1 x 2, \ x 2, _, ^, =, prod, Z]`

- Presentation-MathML:
`[1 x 2, C, +, ∞, ∏, N x 2, /, ∈, =, Z x 2]`

#### MathML-Filter

#### Word filter

Keywords:[diverges, diverge] Rendered Presentation-MathML:## Results

### Summary

#### Reviewer score 2

- Items reviewd: 40
- Accumulated score: -119806693
- Formulasearchengine found: 13

#### Reviewer score 0

- Items reviewd: 60
- Accumulated score: -119844047
- Formulasearchengine found: 12

++ | + | o | ∑ | |
---|---|---|---|---|

200000+ | 0 | 0 | 0 | 0 |

5000-200000 | 0 | 13 | 12 | 25 |

<5000 | 0 | 27 | 48 | 75 |

∑ | 0 | 40 | 60 | 100 |

### Short result list

### Detailed results for reviewer score 2

#### Hit id144192

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 1
- Formulasearchengine score: 33673
- Reference to collection: _PREFIX_/38/f014989.xhtml#id144192

Rendered MathML:

End of MathML

.

#### Hit id120502

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 2
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/155/f061772.xhtml#id120502

Rendered MathML:

End of MathML

.

#### Hit id137326

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 3
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/216/f086170.xhtml#id137326

Rendered MathML:

End of MathML

.

#### Hit id140942

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 4
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/157/f062788.xhtml#id140942

Rendered MathML:

End of MathML

.

#### Hit id144989

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 5
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/157/f062788.xhtml#id144989

Rendered MathML:

End of MathML

.

#### Hit id55976

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 6
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/106/f042392.xhtml#id55976

Rendered MathML:

End of MathML

.

#### Hit id57270

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 7
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/134/f053575.xhtml#id57270

Rendered MathML:

End of MathML

.

#### Hit id59779

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 8
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/216/f086035.xhtml#id59779

Rendered MathML:

End of MathML

.

#### Hit id60579

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 9
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/104/f041448.xhtml#id60579

Rendered MathML:

End of MathML

.

#### Hit id60771

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 10
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id60771

Rendered MathML:

End of MathML

.

#### Hit id61181

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 11
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/24/f009515.xhtml#id61181

Rendered MathML:

End of MathML

.

#### Hit id61792

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 12
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id61792

Rendered MathML:

End of MathML

.

#### Hit id63837

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 13
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id63837

Rendered MathML:

End of MathML

.

#### Hit id63933

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 14
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id63933

Rendered MathML:

End of MathML

.

#### Hit id64671

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 15
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/210/f083781.xhtml#id64671

Rendered MathML:

End of MathML

.

#### Hit id65913

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 16
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id65913

Rendered MathML:

End of MathML

.

#### Hit id66143

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 17
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/123/f048825.xhtml#id66143

Rendered MathML:

End of MathML

.

#### Hit id67293

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 18
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id67293

Rendered MathML:

End of MathML

.

#### Hit id67313

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 19
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/11/f004382.xhtml#id67313

Rendered MathML:

End of MathML

.

#### Hit id67812

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 20
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id67812

Rendered MathML:

End of MathML

.

#### Hit id72049

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 21
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id72049

Rendered MathML:

End of MathML

.

#### Hit id73235

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 22
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/135/f053793.xhtml#id73235

Rendered MathML:

End of MathML

.

#### Hit id76993

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 23
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/233/f092933.xhtml#id76993

Rendered MathML:

End of MathML

.

#### Hit id78502

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 24
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id78502

Rendered MathML:

End of MathML

.

#### Hit id79632

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 25
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/57/f022620.xhtml#id79632

Rendered MathML:

End of MathML

.

#### Hit id82887

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 26
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/135/f053801.xhtml#id82887

Rendered MathML:

End of MathML

.

#### Hit id91421

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 27
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id91421

Rendered MathML:

End of MathML

.

#### Hit idp21725184

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 28
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/15/f005739.xhtml#idp21725184

Rendered MathML:

$Z(t,N)=\frac{N!}{(2\pi)^{{N/2}}\prod _{{p=1}}^{N}P!}\prod _{{n=0}}^{{N_{1}}}h_{n},$

End of MathML

.

#### Hit id55977

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 78
- Formulasearchengine score: -9986151
- Reference to collection: _PREFIX_/36/f014207.xhtml#id55977

Rendered MathML:

End of MathML

.

#### Hit idp4604736

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 79
- Formulasearchengine score: -9986286
- Reference to collection: _PREFIX_/132/f052670.xhtml#idp4604736

Rendered MathML:

$Z_{{\rm BPS}}^{{\rm closed}}:=\prod _{{\beta>0}}\prod _{{j_{L},j_{R}\in{\mathbb{Z}}/2}}\prod _{{n_{1},n_{2}=0}}^{\infty}\left(1-q_{1}^{{j_{L}+j_{R}+n_{1}+\frac{1}{2}}}q_{2}^{{j_{L}-j_{R}+n_{2}+\frac{1}{2}}}Q^{\beta}\right)^{{(-1)^{{2j_{L}+2j_{R}}}N^{{j_{L},j_{R}}}_{{\beta}}}}\,$

End of MathML

.

#### Hit idp4909712

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 80
- Formulasearchengine score: -9986287
- Reference to collection: _PREFIX_/132/f052670.xhtml#idp4909712

Rendered MathML:

$Z^{{\rm open}}_{{\rm BPS}}=\prod _{{\mu>0}}\prod _{{s,r\in\mathbb{Z}/2}}\prod _{{n=0}}^{\infty}\left(1-q_{1}^{{s+n+\frac{1}{2}}}q_{2}^{{r+\frac{1}{2}}}z^{\mu}\right)^{{-(-1)^{{2s}}N_{{\mu}}^{{s,r}}}}\,.$

End of MathML

.

#### Hit id86637

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 81
- Formulasearchengine score: -9986481
- Reference to collection: _PREFIX_/140/f055940.xhtml#id86637

Rendered MathML:

End of MathML

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#### Hit idp4966880

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 83
- Formulasearchengine score: -9986841
- Reference to collection: _PREFIX_/19/f007244.xhtml#idp4966880

Rendered MathML:

$\displaystyle I^{{(n)}}={n}\int^{\infty}_{{-\infty}}\frac{d\lambda}{2\pi}\int^{{-\Delta+(n-1/2)eV}}_{{\Delta-eV/2}}\frac{dE}{eR}\,\frac{N_{{1/2}}N_{{1/2-n}}}{|Z_{K}|}\prod _{{\alpha=1}}^{{n-1}}\frac{a_{{1/2-\alpha}}}{|Z_{{-\alpha}}|},$

End of MathML

.

#### Hit id70616

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 84
- Formulasearchengine score: -9986843
- Reference to collection: _PREFIX_/168/f066981.xhtml#id70616

Rendered MathML:

End of MathML

.

#### Hit idp20672624

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 88
- Formulasearchengine score: -9986868
- Reference to collection: _PREFIX_/115/f045952.xhtml#idp20672624

Rendered MathML:

$\displaystyle{\cal Z}_{{CS}}^{{m=n=0}}=\frac{1}{(k+N)^{{N/2}}}\prod _{{\alpha>0}}2\sinh\left(\frac{2\pi i}{k+N}\frac{\alpha\cdot\rho}{2}\right),$

End of MathML

.

#### Hit id71446

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 91
- Formulasearchengine score: -9986894
- Reference to collection: _PREFIX_/36/f014160.xhtml#id71446

Rendered MathML:

End of MathML

.

#### Hit idp25519280

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 92
- Formulasearchengine score: -9986906
- Reference to collection: _PREFIX_/11/f004111.xhtml#idp25519280

Rendered MathML:

$\prod _{{n=1}}^{\infty}(1-q^{n})(1+q^{{n-1/2}}t)(1+q^{{n-1/2}}t^{{-1}})=\sum _{{n\in{\bf Z}}}q^{{n^{2}/2}}t^{n}$

End of MathML

.

#### Hit id109349

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 94
- Formulasearchengine score: -9986910
- Reference to collection: _PREFIX_/26/f010285.xhtml#id109349

Rendered MathML:

End of MathML

.

#### Hit id186007

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 96
- Formulasearchengine score: -9986923
- Reference to collection: _PREFIX_/208/f083176.xhtml#id186007

Rendered MathML:

End of MathML

.

#### Hit id67090

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 97
- Formulasearchengine score: -9986976
- Reference to collection: _PREFIX_/168/f066981.xhtml#id67090

Rendered MathML:

End of MathML

.

### Detailed results for reviewer score 0

#### Hit id104602

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 29
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id104602

Rendered MathML:

End of MathML

.

#### Hit id108891

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 30
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/214/f085431.xhtml#id108891

Rendered MathML:

End of MathML

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#### Hit id119596

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 31
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/145/f057798.xhtml#id119596

Rendered MathML:

End of MathML

.

#### Hit id142636

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 32
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/88/f035117.xhtml#id142636

Rendered MathML:

End of MathML

.

#### Hit id191810

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 33
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/180/f071870.xhtml#id191810

Rendered MathML:

End of MathML

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#### Hit id201824

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 34
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/180/f071870.xhtml#id201824

Rendered MathML:

End of MathML

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#### Hit id54662

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 35
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/53/f021034.xhtml#id54662

Rendered MathML:

End of MathML

.

#### Hit id55122

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 36
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/1/f000106.xhtml#id55122

Rendered MathML:

End of MathML

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#### Hit id55628

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 37
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/40/f015755.xhtml#id55628

Rendered MathML:

End of MathML

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#### Hit id57272

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 38
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/22/f008679.xhtml#id57272

Rendered MathML:

End of MathML

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#### Hit id59184

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 39
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/84/f033485.xhtml#id59184

Rendered MathML:

End of MathML

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#### Hit id60238

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 40
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/84/f033485.xhtml#id60238

Rendered MathML:

End of MathML

.

#### Hit id60376

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 41
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/34/f013566.xhtml#id60376

Rendered MathML:

End of MathML

.

#### Hit id60591

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 42
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/214/f085506.xhtml#id60591

Rendered MathML:

End of MathML

.

#### Hit id60735

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 43
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/82/f032605.xhtml#id60735

Rendered MathML:

End of MathML

.

#### Hit id61182

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 44
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f071075.xhtml#id61182

Rendered MathML:

End of MathML

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#### Hit id62678

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 45
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/182/f072602.xhtml#id62678

Rendered MathML:

End of MathML

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#### Hit id62687

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 46
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f071068.xhtml#id62687

Rendered MathML:

End of MathML

.

#### Hit id63367

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 47
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/79/f031523.xhtml#id63367

Rendered MathML:

End of MathML

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#### Hit id63388

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 48
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id63388

Rendered MathML:

End of MathML

.

#### Hit id63491

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 49
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/248/f099117.xhtml#id63491

Rendered MathML:

End of MathML

.

#### Hit id64607

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 50
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id64607

Rendered MathML:

End of MathML

.

#### Hit id65057

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 51
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/249/f099318.xhtml#id65057

Rendered MathML:

End of MathML

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#### Hit id65400

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 52
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f070808.xhtml#id65400

Rendered MathML:

End of MathML

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#### Hit id66381

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 53
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/52/f020521.xhtml#id66381

Rendered MathML:

End of MathML

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#### Hit id67244

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 54
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/217/f086434.xhtml#id67244

Rendered MathML:

End of MathML

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#### Hit id67479

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 55
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/207/f082789.xhtml#id67479

Rendered MathML:

End of MathML

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#### Hit id71332

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 56
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/85/f033879.xhtml#id71332

Rendered MathML:

End of MathML

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#### Hit id72308

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 57
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/26/f010030.xhtml#id72308

Rendered MathML:

End of MathML

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#### Hit id73038

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 58
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/75/f029983.xhtml#id73038

Rendered MathML:

End of MathML

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#### Hit id77825

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 59
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/84/f033485.xhtml#id77825

Rendered MathML:

End of MathML

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#### Hit id80423

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 60
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/53/f020885.xhtml#id80423

Rendered MathML:

End of MathML

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#### Hit id82684

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 61
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/84/f033485.xhtml#id82684

Rendered MathML:

End of MathML

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#### Hit id82729

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 62
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/207/f082789.xhtml#id82729

Rendered MathML:

End of MathML

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#### Hit id82999

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 63
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/214/f085506.xhtml#id82999

Rendered MathML:

End of MathML

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#### Hit id84029

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 64
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/94/f037557.xhtml#id84029

Rendered MathML:

End of MathML

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#### Hit id84313

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 65
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/110/f043670.xhtml#id84313

Rendered MathML:

End of MathML

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#### Hit id85868

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 66
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/20/f007937.xhtml#id85868

Rendered MathML:

End of MathML

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#### Hit id89800

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 67
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/150/f059763.xhtml#id89800

Rendered MathML:

End of MathML

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#### Hit id94662

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 68
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/218/f087168.xhtml#id94662

Rendered MathML:

End of MathML

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#### Hit id95237

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 69
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/122/f048602.xhtml#id95237

Rendered MathML:

End of MathML

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#### Hit id95611

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 70
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/218/f087168.xhtml#id95611

Rendered MathML:

End of MathML

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#### Hit id95961

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 71
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/156/f062224.xhtml#id95961

Rendered MathML:

End of MathML

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#### Hit id96152

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 72
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/218/f087168.xhtml#id96152

Rendered MathML:

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#### Hit id96779

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 73
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/122/f048602.xhtml#id96779

Rendered MathML:

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#### Hit id98550

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 74
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/218/f087168.xhtml#id98550

Rendered MathML:

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#### Hit idp1009056

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 75
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/168/f066858.xhtml#idp1009056

Rendered MathML:

$${Z}_{N}\left(V;{N}_{1},{N}_{2}\right)=\left(\stackrel{{N}_{1}}{\prod _{i=1}}{\int}_{0}^{\mathrm{\infty}}d{\lambda}_{i}{\lambda}_{i}^{{N}_{2}-{N}_{1}}{e}^{-NV\left({\lambda}_{i}\right)}\right)\mathrm{\Delta}{\left(\mathrm{\Lambda}\right)}^{2}$$

End of MathML

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#### Hit idp135120

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 76
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/16/f006080.xhtml#idp135120

Rendered MathML:

$H_{*}^{{(j)}}\,=\,-T\ln(\lambda _{j})(\hat{n}_{j}-1)\,,\quad\hat{n}_{j}\,=\,\sum _{{m}}\, n_{{jm}}\,.$

End of MathML

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#### Hit id55955

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 77
- Formulasearchengine score: -9986140
- Reference to collection: _PREFIX_/27/f010596.xhtml#id55955

Rendered MathML:

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#### Hit id87829

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 82
- Formulasearchengine score: -9986548
- Reference to collection: _PREFIX_/140/f055940.xhtml#id87829

Rendered MathML:

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#### Hit id56549

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 85
- Formulasearchengine score: -9986852
- Reference to collection: _PREFIX_/9/f003543.xhtml#id56549

Rendered MathML:

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#### Hit idp24983200

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 86
- Formulasearchengine score: -9986863
- Reference to collection: _PREFIX_/15/f005908.xhtml#idp24983200

Rendered MathML:

$I_{{e,N_{f};h}}=\sum _{{k\in\mathbb{Z}}}a^{{N_{f}|k|/2}}\int _{{\mathbb{T}}}\prod _{{i=1}}^{{N_{f}}}\frac{(a^{{1/2}}q^{{1/2+|k|/2}}t_{i}^{{-1}}z^{{\pm 1}};q)_{\infty}}{(a^{{-1/2}}q^{{1/2+|k|/2}}t_{i}z^{{\pm 1}};q)_{\infty}}\frac{dz}{2\pi\textup{i}z},$

End of MathML

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#### Hit idp26007872

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 87
- Formulasearchengine score: -9986863
- Reference to collection: _PREFIX_/15/f005908.xhtml#idp26007872

Rendered MathML:

$I_{{e,N_{f};h}}=\sum _{{k\in\mathbb{Z}}}a^{{N_{f}k/2}}\int _{{\mathbb{T}}}\prod _{{i=1}}^{{N_{f}}}\frac{(a^{{1/2}}q^{{1/2+k/2}}t_{i}^{{-1}}z^{{\pm 1}};q)_{\infty}}{(a^{{-1/2}}q^{{1/2+k/2}}t_{i}z^{{\pm 1}};q)_{\infty}}\frac{dz}{2\pi\textup{i}z},$

End of MathML

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#### Hit id105853

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 89
- Formulasearchengine score: -9986889
- Reference to collection: _PREFIX_/186/f074192.xhtml#id105853

Rendered MathML:

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#### Hit id56343

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 90
- Formulasearchengine score: -9986889
- Reference to collection: _PREFIX_/187/f074464.xhtml#id56343

Rendered MathML:

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#### Hit id55013

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 93
- Formulasearchengine score: -9986907
- Reference to collection: _PREFIX_/34/f013566.xhtml#id55013

Rendered MathML:

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#### Hit idp3955024

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 95
- Formulasearchengine score: -9986915
- Reference to collection: _PREFIX_/240/f095899.xhtml#idp3955024

Rendered MathML:

$dU=\frac{\prod _{{i,j=1}}^{N}d^{2}Z_{{ij}}}{\det(1+ZZ^{\dagger})^{{2N}}}\,.$

End of MathML

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#### Hit id58146

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 98
- Formulasearchengine score: -9987721
- Reference to collection: _PREFIX_/223/f088944.xhtml#id58146

Rendered MathML:

End of MathML

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#### Hit idp22391760

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 99
- Formulasearchengine score: -9987730
- Reference to collection: _PREFIX_/19/f007289.xhtml#idp22391760

Rendered MathML:

$A+\sum _{{a\in\mathbb{Z}/N\mathbb{Z}}}B(a)+C=0$

End of MathML

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#### Hit idp23044320

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 100
- Formulasearchengine score: -9987730
- Reference to collection: _PREFIX_/19/f007289.xhtml#idp23044320

Rendered MathML:

$A+\sum _{{a\in\mathbb{Z}/N\mathbb{Z}}}B(a)+C=0$

End of MathML

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