# Differential Equation

Submitted by schubotz on

# Results for NTCIR10-FT-11

## Query

### Original Query

### Compiled by FSE

#### Token-Filter

- TeXFilter:
`[F, B, bigr, +, sum, ( x 5, ) x 5, -, prime, 1, tau, bigl, \ x 5, _ x 3, ^ x 2, = x 2]`

- Presentation-MathML:
`[F, 1, ′, B, ∑, +, (, ), = x 2, τ, -]`

#### MathML-Filter

#### Word filter

Keywords:[conditions, boundedness] Rendered Presentation-MathML:## Results

### Summary

#### Reviewer score 2

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

#### Reviewer score 0

- Items reviewd: 93
- Accumulated score: 35886
- Formulasearchengine found: 2

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

200000+ | 0 | 0 | 0 | 0 |

5000-200000 | 0 | 0 | 2 | 2 |

<5000 | 0 | 7 | 91 | 98 |

∑ | 0 | 7 | 93 | 100 |

### Short result list

### Detailed results for reviewer score 2

#### Hit id110869

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 3
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f038842.xhtml#id110869

Rendered MathML:

End of MathML

.

#### Hit id111460

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 4
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f038842.xhtml#id111460

Rendered MathML:

End of MathML

.

#### Hit id167997

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 5
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/120/f047956.xhtml#id167997

Rendered MathML:

End of MathML

.

#### Hit id64938

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 6
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/38/f014974.xhtml#id64938

Rendered MathML:

End of MathML

.

#### Hit id80845

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 7
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/249/f099329.xhtml#id80845

Rendered MathML:

End of MathML

.

#### Hit idp20822416

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 8
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045333.xhtml#idp20822416

Rendered MathML:

$W=u_{0}-B^{{-1}}u_{0}+B^{{-1}}\sum _{{i=1}}^{m}\alpha _{i}\int _{0}^{{t_{i}}}{\rm e}^{{-A(t_{i}-\tau)}}f(\tau)d\tau.$

End of MathML

.

#### Hit idp2818064

- Reviwer: xxx
- Reviwer score: 2
- Formulasearchengine rank: 9
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052673.xhtml#idp2818064

Rendered MathML:

$\displaystyle=\frac{f^{{\prime}}(\mu)}{a_{n}}\sum _{{k=1}}^{n}\left(\frac{S_{{k,k}}}{k}-\mu\right)+o_{\mathbb{P}}(1).$

End of MathML

.

### Detailed results for reviewer score 0

#### Hit id78445

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 1
- Formulasearchengine score: 17980
- Reference to collection: _PREFIX_/8/f003160.xhtml#id78445

Rendered MathML:

End of MathML

.

#### Hit id98385

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 2
- Formulasearchengine score: 17906
- Reference to collection: _PREFIX_/140/f055932.xhtml#id98385

Rendered MathML:

End of MathML

.

#### Hit id103476

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 10
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/86/f034054.xhtml#id103476

Rendered MathML:

End of MathML

.

#### Hit id108722

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 11
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/71/f028195.xhtml#id108722

Rendered MathML:

End of MathML

.

#### Hit id109869

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 12
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f038842.xhtml#id109869

Rendered MathML:

End of MathML

.

#### Hit id110779

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 13
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/107/f042448.xhtml#id110779

Rendered MathML:

End of MathML

.

#### Hit id114329

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 14
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/172/f068723.xhtml#id114329

Rendered MathML:

End of MathML

.

#### Hit id114946

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 15
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/172/f068723.xhtml#id114946

Rendered MathML:

End of MathML

.

#### Hit id115080

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 16
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/143/f056935.xhtml#id115080

Rendered MathML:

End of MathML

.

#### Hit id115080

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 17
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/99/f039398.xhtml#id115080

Rendered MathML:

End of MathML

.

#### Hit id115525

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 18
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/172/f068723.xhtml#id115525

Rendered MathML:

End of MathML

.

#### Hit id120674

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 19
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/143/f056935.xhtml#id120674

Rendered MathML:

End of MathML

.

#### Hit id123575

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 20
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039060.xhtml#id123575

Rendered MathML:

End of MathML

.

#### Hit id129012

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 21
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/178/f071190.xhtml#id129012

Rendered MathML:

End of MathML

.

#### Hit id132273

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 22
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/2/f000561.xhtml#id132273

Rendered MathML:

End of MathML

.

#### Hit id134474

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 23
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/127/f050594.xhtml#id134474

Rendered MathML:

End of MathML

.

#### Hit id137604

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 24
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/83/f032967.xhtml#id137604

Rendered MathML:

End of MathML

.

#### Hit id142804

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 25
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/221/f088087.xhtml#id142804

Rendered MathML:

End of MathML

.

#### Hit id156793

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 26
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/107/f042609.xhtml#id156793

Rendered MathML:

End of MathML

.

#### Hit id164478

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 27
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/110/f043875.xhtml#id164478

Rendered MathML:

End of MathML

.

#### Hit id165273

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 28
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/123/f049057.xhtml#id165273

Rendered MathML:

End of MathML

.

#### Hit id165571

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 29
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/126/f050303.xhtml#id165571

Rendered MathML:

End of MathML

.

#### Hit id166079

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 30
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/126/f050303.xhtml#id166079

Rendered MathML:

End of MathML

.

#### Hit id166602

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 31
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/126/f050303.xhtml#id166602

Rendered MathML:

End of MathML

.

#### Hit id168293

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 32
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/120/f047956.xhtml#id168293

Rendered MathML:

End of MathML

.

#### Hit id172170

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 33
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/245/f097755.xhtml#id172170

Rendered MathML:

End of MathML

.

#### Hit id179436

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 34
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/24/f009519.xhtml#id179436

Rendered MathML:

End of MathML

.

#### Hit id190804

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 35
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/3/f001128.xhtml#id190804

Rendered MathML:

End of MathML

.

#### Hit id54256

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 36
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/140/f055836.xhtml#id54256

Rendered MathML:

End of MathML

.

#### Hit id55710

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 37
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/235/f093837.xhtml#id55710

Rendered MathML:

End of MathML

.

#### Hit id57173

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 38
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/124/f049311.xhtml#id57173

Rendered MathML:

End of MathML

.

#### Hit id57358

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 39
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/83/f032939.xhtml#id57358

Rendered MathML:

End of MathML

.

#### Hit id58167

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 40
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/83/f032939.xhtml#id58167

Rendered MathML:

End of MathML

.

#### Hit id59280

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 41
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/160/f063884.xhtml#id59280

Rendered MathML:

End of MathML

.

#### Hit id59822

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 42
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/49/f019553.xhtml#id59822

Rendered MathML:

End of MathML

.

#### Hit id60009

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 43
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/247/f098550.xhtml#id60009

Rendered MathML:

End of MathML

.

#### Hit id60159

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 44
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/49/f019553.xhtml#id60159

Rendered MathML:

End of MathML

.

#### Hit id60510

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 45
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/96/f038229.xhtml#id60510

Rendered MathML:

End of MathML

.

#### Hit id60743

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 46
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/110/f043724.xhtml#id60743

Rendered MathML:

End of MathML

.

#### Hit id61158

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 47
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/160/f063884.xhtml#id61158

Rendered MathML:

End of MathML

.

#### Hit id61248

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 48
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/52/f020567.xhtml#id61248

Rendered MathML:

End of MathML

.

#### Hit id62844

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 49
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/158/f062869.xhtml#id62844

Rendered MathML:

End of MathML

.

#### Hit id63146

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 50
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/33/f013018.xhtml#id63146

Rendered MathML:

End of MathML

.

#### Hit id63458

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 51
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/48/f018844.xhtml#id63458

Rendered MathML:

End of MathML

.

#### Hit id64689

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 52
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/94/f037277.xhtml#id64689

Rendered MathML:

End of MathML

.

#### Hit id64920

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 53
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/25/f009918.xhtml#id64920

Rendered MathML:

End of MathML

.

#### Hit id65557

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 54
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/84/f033534.xhtml#id65557

Rendered MathML:

End of MathML

.

#### Hit id66689

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 55
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/120/f047785.xhtml#id66689

Rendered MathML:

End of MathML

.

#### Hit id68330

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 56
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/232/f092743.xhtml#id68330

Rendered MathML:

End of MathML

.

#### Hit id68838

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 57
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/229/f091336.xhtml#id68838

Rendered MathML:

End of MathML

.

#### Hit id70318

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 58
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/31/f012330.xhtml#id70318

Rendered MathML:

End of MathML

.

#### Hit id70340

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 59
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/77/f030639.xhtml#id70340

Rendered MathML:

End of MathML

.

#### Hit id71294

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 60
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/38/f014974.xhtml#id71294

Rendered MathML:

End of MathML

.

#### Hit id71378

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 61
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/108/f042951.xhtml#id71378

Rendered MathML:

End of MathML

.

#### Hit id72513

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 62
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/211/f084040.xhtml#id72513

Rendered MathML:

End of MathML

.

#### Hit id73338

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 63
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/184/f073332.xhtml#id73338

Rendered MathML:

End of MathML

.

#### Hit id73706

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 64
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/175/f069815.xhtml#id73706

Rendered MathML:

End of MathML

.

#### Hit id75063

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 65
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/209/f083504.xhtml#id75063

Rendered MathML:

End of MathML

.

#### Hit id76401

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 66
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/168/f066909.xhtml#id76401

Rendered MathML:

End of MathML

.

#### Hit id78289

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 67
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/160/f063766.xhtml#id78289

Rendered MathML:

End of MathML

.

#### Hit id78929

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 68
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/68/f027051.xhtml#id78929

Rendered MathML:

End of MathML

.

#### Hit id79702

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 69
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/33/f013147.xhtml#id79702

Rendered MathML:

End of MathML

.

#### Hit id82592

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 70
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/7/f002643.xhtml#id82592

Rendered MathML:

End of MathML

.

#### Hit id82837

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 71
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/7/f002643.xhtml#id82837

Rendered MathML:

End of MathML

.

#### Hit id84123

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 72
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/96/f038322.xhtml#id84123

Rendered MathML:

End of MathML

.

#### Hit id85234

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 73
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039060.xhtml#id85234

Rendered MathML:

End of MathML

.

#### Hit id85522

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 74
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/190/f075656.xhtml#id85522

Rendered MathML:

End of MathML

.

#### Hit id87004

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 75
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/230/f091605.xhtml#id87004

Rendered MathML:

End of MathML

.

#### Hit id87036

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 76
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/210/f083670.xhtml#id87036

Rendered MathML:

End of MathML

.

#### Hit id87076

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 77
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/210/f083670.xhtml#id87076

Rendered MathML:

End of MathML

.

#### Hit id87113

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 78
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/210/f083670.xhtml#id87113

Rendered MathML:

End of MathML

.

#### Hit id87203

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 79
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/210/f083670.xhtml#id87203

Rendered MathML:

End of MathML

.

#### Hit id87528

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 80
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039060.xhtml#id87528

Rendered MathML:

End of MathML

.

#### Hit id90108

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 81
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/94/f037456.xhtml#id90108

Rendered MathML:

End of MathML

.

#### Hit id96298

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 82
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/1/f000029.xhtml#id96298

Rendered MathML:

End of MathML

.

#### Hit id96813

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 83
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/49/f019578.xhtml#id96813

Rendered MathML:

End of MathML

.

#### Hit idp19211872

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 84
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/128/f051147.xhtml#idp19211872

Rendered MathML:

$6\sum _{{j=1}}^{{\lfloor nu_{p}\rfloor}}\sum _{{\ell=1}}^{{\lfloor nu_{k}\rfloor}}g_{p}(B(t_{{j-1}}))g_{k}(B(t_{{\ell-1}}))\langle\delta _{\ell},\delta _{j}\rangle _{\EuFrak{H}}^{3}\xrightarrow[n\to\infty]{\text{a.s.}}\kappa^{2}\int _{0}^{{u_{p}\wedge u_{k}}}g_{p}(B(s))g_{k}(B(s))\, ds.$

End of MathML

.

#### Hit idp19311904

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 85
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/128/f051147.xhtml#idp19311904

Rendered MathML:

$\bigg(\mathbb{V}_{n},\xi,6\sum _{{j=1}}^{{\lfloor nu_{p}\rfloor}}\sum _{{\ell=1}}^{{\lfloor nu_{k}\rfloor}}g_{p}(B(t_{{j-1}}))g_{k}(B(t_{{\ell-1}}))\langle\delta _{\ell},\delta _{j}\rangle _{\EuFrak{H}}^{3}\bigg)_{{k=1,\ldots,m}}\\ \xrightarrow[]{\text{Law}}\bigg(\mathbb{V}_{\infty},\xi,\kappa^{2}\int _{0}^{{u_{p}\wedge u_{k}}}g_{p}(B(s))g_{k}(B(s))\, ds\bigg)_{{k=1,\ldots,m}}\quad\text{in $\mathbb{R}^{d}\times\mathbb{R}\times\mathbb{R}^{m}$}.$

End of MathML

.

#### Hit idp21304608

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 86
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/14/f005493.xhtml#idp21304608

Rendered MathML:

$\begin{array}[]{cccl}f_{\varepsilon}:&I\times S&\to&\Lambda _{\varepsilon}\\ &(s,y_{1},y_{2})&\mapsto&r(s)+\varepsilon\, h(s)\left(y_{1}N_{\alpha}(s)+y_{2}B_{\alpha}(s)\right),\end{array}$

End of MathML

.

#### Hit idp2182736

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 87
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045495.xhtml#idp2182736

Rendered MathML:

$\#=\text{G or K}$

End of MathML

.

#### Hit idp2191424

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 88
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/114/f045495.xhtml#idp2191424

Rendered MathML:

$\#=\text{G or K}$

End of MathML

.

#### Hit idp23568512

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 89
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/202/f080428.xhtml#idp23568512

Rendered MathML:

$z_{\ell}=\inf\{ y\colon m_{\ell}(y)=0\}$

End of MathML

.

#### Hit idp23582720

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 90
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/202/f080428.xhtml#idp23582720

Rendered MathML:

$\widetilde{m}_{\ell}(y)=m_{\ell}(y+z_{\ell})$

End of MathML

.

#### Hit idp23597312

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 91
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/202/f080428.xhtml#idp23597312

Rendered MathML:

$\widetilde{m}_{\ell}(0)=0$

End of MathML

.

#### Hit idp24626832

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 92
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/60/f023781.xhtml#idp24626832

Rendered MathML:

$\sigma\left(p\right)=\left\{\begin{array}[]{ll}\left(-1\right)^{{t}}tx_{{1}}\leq 1+p_{{t}},&t=1,2,\dots,\\ x_{{1}}+x_{{2}}\leq 0+p_{{0}},&t=0\end{array}\right\}.$

End of MathML

.

#### Hit idp2738976

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 93
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052673.xhtml#idp2738976

Rendered MathML:

$\displaystyle=\frac{f^{{\prime}}(\mu)}{a_{n}}\sum _{{k=1}}^{n}\left(\frac{S_{{k,k}}}{k}-\mu\right)+\frac{f^{{\prime\prime}}(\mu)}{2a_{n}}\sum _{{k=1}}^{n}\left[\left(\frac{S_{{k,k}}}{k}-\mu\right)^{2}-\frac{c_{k}}{k}\right]$

End of MathML

.

#### Hit idp29182512

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 94
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/132/f052671.xhtml#idp29182512

Rendered MathML:

$\displaystyle|u(t,x,y)|\leqslant\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t}}|\varphi _{n}(x)||\varphi _{n}(y)|\leqslant M\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t}}\leqslant M\sum _{{n=1}}^{\infty}e^{{-\lambda _{n}t_{0}}}<\infty\/,\quad x,y\in\mathbb{R}\/,\, t>t_{0}\/,$

End of MathML

.

#### Hit idp30342960

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 95
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/98/f039048.xhtml#idp30342960

Rendered MathML:

$r\sum _{{i=1}}^{n}\|\partial _{i}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(-r,0)\times(-r^{2},r^{2}))}}+r\sum _{{i=1}}^{n}\|\partial _{i}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(0,r)\times(-r^{2},r^{2}))}}\\ r^{2}\|\partial _{t}A\| _{{L^{\infty}(B^{{\prime}}_{r}\times(-r,r)\times(-r^{2},r^{2}))}}\leq M,$

End of MathML

.

#### Hit idp316352

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 96
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/226/f090245.xhtml#idp316352

Rendered MathML:

$\displaystyle-\; t\sum _{{i=1,\sigma}}^{{N-1}}\left(1+g\left(B_{{i+1}}-B_{{i}}\right)\right)\left(c_{{i+1\sigma}}^{{\dagger}}c_{{i\sigma}}+c_{{i\sigma}}^{{\dagger}}c_{{i+1\sigma}}\right).$

End of MathML

.

#### Hit idp4941984

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 97
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/113/f044897.xhtml#idp4941984

Rendered MathML:

$T1,T^{*}1\in\mathrm{BMO}(\mathbb{R}^{n})$

End of MathML

.

#### Hit idp8517968

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 98
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/16/f006219.xhtml#idp8517968

Rendered MathML:

$\sup _{{x,\mu}}\int\min(1,|y|)\nu(x,\mu,dy)<\infty,\quad\sup _{{x,\mu}}\int\min(1,|y|)|\nabla\nu(x,\mu,dy)|<\infty,$

End of MathML

.

#### Hit idp867168

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 99
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/130/f051817.xhtml#idp867168

Rendered MathML:

$\displaystyle\frac{1}{2\beta^{{k-1}}\sqrt{\alpha^{2}-\beta}}\left[\begin{array}[]{rr}\lambda _{2}^{k}&-\lambda _{2}^{{k-1}}\\ -\lambda _{1}^{k}&\lambda _{1}^{{k-1}}\end{array}\right]\begin{bmatrix}\dfrac{1}{\beta}\left(\gamma _{{k-1}}-\dfrac{2\alpha}{\beta}\gamma _{k}\right)-\displaystyle\sum _{{\tau=0}}^{{k-2}}\sum _{{s=0}}^{{\tau-1}}\gamma _{s}\lambda _{1}^{{k-1+s-2\tau}}\beta^{{\tau-1-s}}\\ \dfrac{1}{\beta}\gamma _{k}-\displaystyle\sum _{{\tau=0}}^{{k-1}}\sum _{{s=0}}^{{\tau-1}}\gamma _{s}\lambda _{1}^{{k+s-2\tau}}\beta^{{\tau-1-s}}\end{bmatrix}.$

End of MathML

.

#### Hit idp8755856

- Reviwer: xxx
- Reviwer score: 0
- Formulasearchengine rank: 100
- Formulasearchengine score: 0
- Reference to collection: _PREFIX_/112/f044608.xhtml#idp8755856

Rendered MathML:

$||A_{n}||_{{\mathcal{L}(\Lambda(\psi))}}\leq C\cdot n^{q},\ n\geq 1$

End of MathML

.