# Index of a Subgroup

Submitted by schubotz on

# Results for NTCIR10-FS-20

## Query

### Original Query

### Compiled by FSE

#### Token-Filter

- TeXFilter:
`[G x 2, \, :, | x 6, H x 2, =, frac]`

- Presentation-MathML:
`[G x 2, :, | x 6, H x 2, =]`

#### MathML-Filter

#### Word filter

No words found specifified. Rendered Presentation-MathML:## Results

### Summary

#### Reviewer score 4

- Items reviewd: 32
- Accumulated score: 43319
- Formulasearchengine found: 4

#### Reviewer score 2

- Items reviewd: 27
- Accumulated score: 54164
- Formulasearchengine found: 5

#### Reviewer score 0

- Items reviewd: 41
- Accumulated score: 97026
- Formulasearchengine found: 9

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

200000+ | 0 | 0 | 0 | 0 |

5000-200000 | 4 | 5 | 9 | 18 |

<5000 | 28 | 22 | 32 | 82 |

∑ | 32 | 27 | 41 | 100 |

### Short result list

### Detailed results for reviewer score 4

#### Hit id78132

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 2
- Formulasearchengine score: 10903
- Reference to collection: _PREFIX_/34/f013284.xhtml#id78132

Rendered MathML:

End of MathML

.

#### Hit idp465232

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 6
- Formulasearchengine score: 10829
- Reference to collection: _PREFIX_/15/f005840.xhtml#idp465232

Rendered MathML:

$|G:G_{v}|=\frac{|G|}{|G_{v}|}=|V(\Gamma)|$

End of MathML

.

#### Hit idp985408

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 7
- Formulasearchengine score: 10829
- Reference to collection: _PREFIX_/14/f005265.xhtml#idp985408

Rendered MathML:

$|G:G_{v}|=\frac{|G|}{|G_{v}|}=|V(\Gamma)|$

End of MathML

.

#### Hit idp28538256

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 15
- Formulasearchengine score: 10758
- Reference to collection: _PREFIX_/63/f025066.xhtml#idp28538256

Rendered MathML:

$\left|Q\right|=\left|G/N(J)\right|\left|G_{{1}}/H_{{1}}\right|$

End of MathML

.

#### Hit id115943

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 19
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/175/f069889.xhtml#id115943

Rendered MathML:

End of MathML

.

#### Hit id116044

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 20
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/175/f069889.xhtml#id116044

Rendered MathML:

End of MathML

.

#### Hit id54428

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 21
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039079.xhtml#id54428

Rendered MathML:

End of MathML

.

#### Hit id59613

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 22
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id59613

Rendered MathML:

End of MathML

.

#### Hit id59663

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 23
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id59663

Rendered MathML:

End of MathML

.

#### Hit id59947

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 24
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id59947

Rendered MathML:

End of MathML

.

#### Hit id60001

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 25
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id60001

Rendered MathML:

End of MathML

.

#### Hit id60114

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 26
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/108/f042803.xhtml#id60114

Rendered MathML:

End of MathML

.

#### Hit id60224

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 27
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id60224

Rendered MathML:

End of MathML

.

#### Hit id62679

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 28
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/53/f020861.xhtml#id62679

Rendered MathML:

End of MathML

.

#### Hit id63499

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 29
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/95/f037755.xhtml#id63499

Rendered MathML:

End of MathML

.

#### Hit id64370

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 30
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/164/f065574.xhtml#id64370

Rendered MathML:

End of MathML

.

#### Hit id72757

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 31
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039079.xhtml#id72757

Rendered MathML:

End of MathML

.

#### Hit id82419

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 32
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id82419

Rendered MathML:

End of MathML

.

#### Hit id82456

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 33
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id82456

Rendered MathML:

End of MathML

.

#### Hit id82807

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 34
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id82807

Rendered MathML:

End of MathML

.

#### Hit id83854

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 35
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id83854

Rendered MathML:

End of MathML

.

#### Hit id83899

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 36
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id83899

Rendered MathML:

End of MathML

.

#### Hit id84303

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 37
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id84303

Rendered MathML:

End of MathML

.

#### Hit id88762

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 38
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id88762

Rendered MathML:

End of MathML

.

#### Hit id91737

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 39
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/117/f046611.xhtml#id91737

Rendered MathML:

End of MathML

.

#### Hit id94999

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 40
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id94999

Rendered MathML:

End of MathML

.

#### Hit id95044

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 41
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id95044

Rendered MathML:

End of MathML

.

#### Hit id95067

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 42
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034400.xhtml#id95067

Rendered MathML:

End of MathML

.

#### Hit idp15419888

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 43
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/176/f070398.xhtml#idp15419888

Rendered MathML:

$N(\Gamma)=\frac{|H(\Gamma)|}{|G(\Gamma)|}\;\;.$

End of MathML

.

#### Hit idp20819344

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 44
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/19/f007215.xhtml#idp20819344

Rendered MathML:

$|G:H|$

End of MathML

.

#### Hit idp20832352

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 45
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f007131.xhtml#idp20832352

Rendered MathML:

$|G:H|=p$

End of MathML

.

#### Hit idp24997808

- Reviwer: xxx
- Reviwer score: 4
- Formulasearchengine rank: 46
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/113/f044996.xhtml#idp24997808

Rendered MathML:

${\mathrm{Index}}F=\dfrac{|G|}{|H|}$

End of MathML

.

### Detailed results for reviewer score 2

#### Hit idp20923136

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 1
- Formulasearchengine score: 10918
- Reference to collection: _PREFIX_/63/f024883.xhtml#idp20923136

Rendered MathML:

$d^{{(n)}}(H,G)=\frac{|\{(h_{1},\ldots,h_{n},g)\in H^{n}\times G\ |\ [h_{1},\ldots,h_{n},g]=1\}|}{|H|^{n}\ |G|}=\frac{1}{|H|^{n}\ |G|}\underset{h_{1},\ldots,h_{n}\in H}{\sum}|C_{G}([h_{1},\ldots,h_{n}])|.$

End of MathML

.

#### Hit idp314192

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 4
- Formulasearchengine score: 10854
- Reference to collection: _PREFIX_/62/f024516.xhtml#idp314192

Rendered MathML:

$sd(G)=\frac{|\{(H,K)\in\mathcal{L}(G)\times\mathcal{L}(G)\ |\ HK=KH\}|}{|\mathcal{L}(G)|^{2}},$

End of MathML

.

#### Hit idp614432

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 9
- Formulasearchengine score: 10820
- Reference to collection: _PREFIX_/202/f080535.xhtml#idp614432

Rendered MathML:

$\displaystyle d(G,N)=\frac{1}{|G||N|}|\{(x,y)\in G\times N~{}|~{}xy=yx\}|.$

End of MathML

.

#### Hit idp20845664

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 10
- Formulasearchengine score: 10801
- Reference to collection: _PREFIX_/18/f007131.xhtml#idp20845664

Rendered MathML:

$\Pr(G)=\frac{\Pr(H)}{p^{2}}+\frac{p+1}{p|G|^{2}}\sum\limits _{{x\in G-H}}|C_{G}(x)|.$

End of MathML

.

#### Hit idp2160832

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 13
- Formulasearchengine score: 10771
- Reference to collection: _PREFIX_/202/f080560.xhtml#idp2160832

Rendered MathML:

$gcd(|G(H)|,|G(H^{*})|)=p^{2}$

End of MathML

.

#### Hit idp1199088

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 47
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045209.xhtml#idp1199088

Rendered MathML:

$|gGHZ\rangle=a|000\rangle+b|111\rangle\,,$

End of MathML

.

#### Hit idp1727088

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 48
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/112/f044706.xhtml#idp1727088

Rendered MathML:

$|H|=|G|$

End of MathML

.

#### Hit idp2193376

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 49
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025225.xhtml#idp2193376

Rendered MathML:

$2|H|<|G|,$

End of MathML

.

#### Hit idp233936

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 50
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025250.xhtml#idp233936

Rendered MathML:

$(iv),$

End of MathML

.

#### Hit idp24836688

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 51
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/113/f044996.xhtml#idp24836688

Rendered MathML:

$E(e_{H})=\sum _{{h\in H}}E(e_{h})=\frac{|H|}{|G|}.$

End of MathML

.

#### Hit idp25095648

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 52
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/16/f006318.xhtml#idp25095648

Rendered MathML:

$|G|-|H|$

End of MathML

.

#### Hit idp27647776

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 53
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f007001.xhtml#idp27647776

Rendered MathML:

$|\mathscr{G}|=|\mathscr{H}|=\aleph _{2}$

End of MathML

.

#### Hit idp36231104

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 54
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025250.xhtml#idp36231104

Rendered MathML:

$|G|\leq|H|.$

End of MathML

.

#### Hit idp36279456

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 55
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025250.xhtml#idp36279456

Rendered MathML:

$|G/N|=|H|.$

End of MathML

.

#### Hit idp36287600

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 56
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025250.xhtml#idp36287600

Rendered MathML:

$|G|\leq|H|,$

End of MathML

.

#### Hit idp36329200

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 57
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025250.xhtml#idp36329200

Rendered MathML:

$|G|\leq|H|$

End of MathML

.

#### Hit idp3767904

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 58
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp3767904

Rendered MathML:

$|G(H)|=p$

End of MathML

.

#### Hit idp3875744

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 59
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp3875744

Rendered MathML:

$|G(H)|=p$

End of MathML

.

#### Hit idp3954624

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 60
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp3954624

Rendered MathML:

$|G(H)|=p$

End of MathML

.

#### Hit idp3990832

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 61
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp3990832

Rendered MathML:

$|G(H)|=p$

End of MathML

.

#### Hit idp4094896

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 62
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052638.xhtml#idp4094896

Rendered MathML:

$|S|>|H|=\frac{|G|}{2},$

End of MathML

.

#### Hit idp527744

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 63
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp527744

Rendered MathML:

$|G(H)|=p$

End of MathML

.

#### Hit idp6633232

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 64
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/15/f005648.xhtml#idp6633232

Rendered MathML:

$|G|=|Q(H)|$

End of MathML

.

#### Hit idp688640

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 65
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/14/f005499.xhtml#idp688640

Rendered MathML:

$\delta H_{{||}}=3000G$

End of MathML

.

#### Hit idp8139360

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 66
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/63/f024855.xhtml#idp8139360

Rendered MathML:

$|H_{{X}}|=|G_{{M}}|$

End of MathML

.

#### Hit idp8148592

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 67
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/63/f024855.xhtml#idp8148592

Rendered MathML:

$|G_{{X}}|=|H_{{M}}|$

End of MathML

.

#### Hit idp8166096

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 68
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/63/f024855.xhtml#idp8166096

Rendered MathML:

$|G_{{X}}|=|H_{{M}}|$

End of MathML

.

### Detailed results for reviewer score 0

#### Hit idp23621568

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 3
- Formulasearchengine score: 10886
- Reference to collection: _PREFIX_/62/f024516.xhtml#idp23621568

Rendered MathML:

$ssd(G)=\frac{1}{|\mathcal{L}(G)|^{2}}\sum _{{H\in\mathcal{L}(G)}}|Comm_{G}(H)|\leq\frac{1}{|\mathcal{L}(G)|^{2}}\sum _{{H\in\mathcal{L}(G)}}|\mathcal{C}(H)|=sd(G).$

End of MathML

.

#### Hit idp23841936

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 5
- Formulasearchengine score: 10846
- Reference to collection: _PREFIX_/61/f024365.xhtml#idp23841936

Rendered MathML:

$n_{H}(V,G)=|\{ H^{{\prime}}\in\mathfrak{T}(H):H^{{\prime}}_{V}=G\}|$

End of MathML

.

#### Hit idp22692688

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 8
- Formulasearchengine score: 10821
- Reference to collection: _PREFIX_/15/f005770.xhtml#idp22692688

Rendered MathML:

$H:=\{ g\in[G,G]:g|_{L}=\id _{L}\}$

End of MathML

.

#### Hit idp73776

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 11
- Formulasearchengine score: 10786
- Reference to collection: _PREFIX_/60/f023680.xhtml#idp73776

Rendered MathML:

$\hat{L}=\frac{\langle G|\partial/\partial\tau-H_{\mathrm{Hub}}|G\rangle}{\langle G|G\rangle},$

End of MathML

.

#### Hit idp840720

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 12
- Formulasearchengine score: 10774
- Reference to collection: _PREFIX_/17/f006522.xhtml#idp840720

Rendered MathML:

$H_{{P}}|g(G)\rangle=h(G)|g(G)\rangle.$

End of MathML

.

#### Hit idp312464

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 14
- Formulasearchengine score: 10760
- Reference to collection: _PREFIX_/17/f006639.xhtml#idp312464

Rendered MathML:

$H=\frac{\hbar\Omega _{{N}}}{2}\Big[\>|W\rangle\langle G|+|G\rangle\langle W|\>\Big]$

End of MathML

.

#### Hit idp2062128

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 16
- Formulasearchengine score: 10758
- Reference to collection: _PREFIX_/60/f023765.xhtml#idp2062128

Rendered MathML:

$\dim P(G)=|G|-|H|$

End of MathML

.

#### Hit idp22253024

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 17
- Formulasearchengine score: 10756
- Reference to collection: _PREFIX_/15/f005987.xhtml#idp22253024

Rendered MathML:

$H_{e}\left|G_{{L}}\right\rangle\otimes\left|G_{{R}}\right\rangle=0$

End of MathML

.

#### Hit idp21928944

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 18
- Formulasearchengine score: 10639
- Reference to collection: _PREFIX_/62/f024516.xhtml#idp21928944

Rendered MathML:

$\frac{|\mathcal{L}(H)|^{2}}{|\mathcal{L}(G)|^{2}}\ ssd(H)\leq ssd(G)$

End of MathML

.

#### Hit id107279

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 69
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f038923.xhtml#id107279

Rendered MathML:

End of MathML

.

#### Hit id62647

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 70
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/106/f042391.xhtml#id62647

Rendered MathML:

End of MathML

.

#### Hit id62681

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 71
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/106/f042391.xhtml#id62681

Rendered MathML:

End of MathML

.

#### Hit idp1084336

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 72
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045209.xhtml#idp1084336

Rendered MathML:

$\pi _{{GHZ}}=|GHZ\rangle\langle GHZ|$

End of MathML

.

#### Hit idp1716480

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 73
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024402.xhtml#idp1716480

Rendered MathML:

$|\mathcal{GHZ}^{{\pm}}>=\frac{1}{\sqrt{2}}[|\textrm{US}>\pm|\textrm{DS}>].$

End of MathML

.

#### Hit idp195808

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 74
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/204/f081501.xhtml#idp195808

Rendered MathML:

$R=\gamma _{{3}}(F_{n})F_{{n}}^{{p^{m}}}$

End of MathML

.

#### Hit idp2036112

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 75
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/112/f044706.xhtml#idp2036112

Rendered MathML:

$|H|=\aleph _{0}=|G|$

End of MathML

.

#### Hit idp2064656

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 76
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024402.xhtml#idp2064656

Rendered MathML:

$\textrm{P}_{{\textrm{B}\neq 0}}=|<\textrm{GS}|\mathcal{GHZ}^{{+}}>|^{{2}}$

End of MathML

.

#### Hit idp20786448

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 77
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024768.xhtml#idp20786448

Rendered MathML:

$|GHZ\rangle$

End of MathML

.

#### Hit idp20875136

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 78
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/14/f005494.xhtml#idp20875136

Rendered MathML:

$H\left(\mathcal{M}\left(\frac{I}{m}\right)\right)=\log\left|G\right|,$

End of MathML

.

#### Hit idp20894272

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 79
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/59/f023392.xhtml#idp20894272

Rendered MathML:

$|G(H)|=q^{3}$

End of MathML

.

#### Hit idp20917488

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 80
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/59/f023392.xhtml#idp20917488

Rendered MathML:

$|G(H)|=q^{2}$

End of MathML

.

#### Hit idp21155808

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 81
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/59/f023392.xhtml#idp21155808

Rendered MathML:

$|G(H)|=q^{3}$

End of MathML

.

#### Hit idp21550032

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 82
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045465.xhtml#idp21550032

Rendered MathML:

$|GHZ\rangle=\frac{1}{\sqrt{2}}\left(|000\rangle+|111\rangle\right)$

End of MathML

.

#### Hit idp21871344

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 83
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052568.xhtml#idp21871344

Rendered MathML:

$\displaystyle|GHZ\rangle _{{ABC}}=\frac{1}{\sqrt{2}}(|000\rangle+|111\rangle).$

End of MathML

.

#### Hit idp21993296

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 84
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052568.xhtml#idp21993296

Rendered MathML:

$|GHZ\rangle$

End of MathML

.

#### Hit idp22922944

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 85
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052672.xhtml#idp22922944

Rendered MathML:

$\left|GHZ\right\rangle$

End of MathML

.

#### Hit idp25371056

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 86
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024430.xhtml#idp25371056

Rendered MathML:

$\displaystyle|{\mathcal{H}}_{n}|=n-|{\mathcal{G}}_{n}|$

End of MathML

.

#### Hit idp26476624

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 87
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045211.xhtml#idp26476624

Rendered MathML:

$G=\langle A\mid H\rangle$

End of MathML

.

#### Hit idp26892416

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 88
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f007001.xhtml#idp26892416

Rendered MathML:

$|\mathscr{G}|=|\mathscr{H}|=\aleph _{2}$

End of MathML

.

#### Hit idp3577696

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 89
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024758.xhtml#idp3577696

Rendered MathML:

$\tfrac{1}{2}\left(|GHZ\rangle\langle GHZ|+|W\rangle\langle W|\right)$

End of MathML

.

#### Hit idp3600928

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 90
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024758.xhtml#idp3600928

Rendered MathML:

$|GHZ\rangle=\sqrt{\tfrac{1}{3}}|000\rangle+\sqrt{\tfrac{2}{3}}|111\rangle$

End of MathML

.

#### Hit idp3656256

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 91
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025225.xhtml#idp3656256

Rendered MathML:

$2|S+H|-2|H|=2\kappa _{1}\leq 2|S|-2<|G|.$

End of MathML

.

#### Hit idp3694688

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 92
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/64/f025225.xhtml#idp3694688

Rendered MathML:

$2|S+H|\leq|G|+|H|,$

End of MathML

.

#### Hit idp3746576

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 93
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/62/f024758.xhtml#idp3746576

Rendered MathML:

$|GHZ\rangle=\tfrac{1}{\sqrt{2}}(|000\rangle+|111\rangle)$

End of MathML

.

#### Hit idp378928

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 94
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045209.xhtml#idp378928

Rendered MathML:

$|GHZ\rangle=\frac{1}{\sqrt{2}}(|000\rangle+|111\rangle)$

End of MathML

.

#### Hit idp4043088

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 95
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp4043088

Rendered MathML:

$|G(H)|$

End of MathML

.

#### Hit idp4396032

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 96
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp4396032

Rendered MathML:

$|G(H)|$

End of MathML

.

#### Hit idp515712

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 97
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/60/f023964.xhtml#idp515712

Rendered MathML:

$\Gamma _{{GHZ}}=\frac{1}{10}|GHZ,1-\rangle\langle GHZ,1-|+\frac{3}{10}|GHZ,2+\rangle\langle GHZ,2+|+\frac{3}{10}|GHZ,3+\rangle\langle GHZ,3+|+\frac{3}{10}|GHZ,4+\rangle\langle GHZ,4+|$

End of MathML

.

#### Hit idp5290784

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 98
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp5290784

Rendered MathML:

$|f|=|g|=p=|G(H^{*})|$

End of MathML

.

#### Hit idp5355344

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 99
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp5355344

Rendered MathML:

$|G(H)|$

End of MathML

.

#### Hit idp681344

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 100
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/18/f006901.xhtml#idp681344

Rendered MathML:

$|G(H)|$

End of MathML

.