Run 6831299

Paper: https://arxiv.org/abs/1007.0003

Formulas:

1-

Δ z \approx 0.5 - 1

2-

P (< δ R) \sim 0.1

3-

δ R \sim 10 ″

4-

z = 0.111, 0.473, 0.403

5-

m_{AB} (F606W) ≳ 28.5

6-

5' \times 5'

7-

⟨ r_{AB} ⟩ = 23.0 \pm 1.3

8-

⟨ r_{AB} ⟩ = 24.4 \pm 1.4

9-

N (γ) \propto γ^{- p}

10-

ν_{m} < ν_{opt} < ν_{c}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/cond-mat/0608313

Formulas:

1-

U^{N 2 p}

2-

U^{O 2 p}

3-

J_{H}^{N 2 p}

4-

J_{H}^{O 2 p}

5-

U^{N 2 p}

6-

U^{O 2 p}

7-

J_{H}^{N 2 p}

8-

J_{H}^{O 2 p}

9-

U^{M n 3 d}

10-

J_{H}^{M n 3 d}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/cond-mat/9608002

Formulas:

1-

ℋ = - B \sum_{i} \partial^{2} / \partial ϕ_{i}^{2} + 2 t \sum_{⟨ i, j ⟩} \cos (ϕ_{i} - ϕ_{j}) - 2 C \sum_{i} \cos (n ϕ_{i}),

2-

B = ℏ^{2} / 2 I

3-

I = m_{O} R^{2}

4-

R = b \sin α

5-

α = (π - 2 θ_{𝑋 -O- 𝑋}) / 2

6-

B = B_{o} / \sin^{2} α

7-

t = t_{o} (1 - \cos 2 α)

8-

Δ R \sim ⟨ R ⟩

9-

E_{b} = K {(1 - \cos α)}^{2}

10-

E_{o}^{v} = K^{'} \sin α

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/cond-mat/0605168

Formulas:

1-

Δ V_{F B}

2-

Δ V_{F B} = \frac{q_{n c}}{ϵ_{o x}} (t_{c o x} + \frac{ϵ_{o x} t_{n c}}{2 ϵ_{g e}})

3-

t_{c o x}

4-

Δ V_{m a x} = q N_{N C} (t_{c o x} + ϵ_{o x} t_{n c} / 2 ϵ_{g e}) / ϵ_{o x}

5-

q_{n c} = q N_{n c}

6-

Δ V_{m a x}

7-

V_{g a t e} = 0

8-

V_{B} (E) = V_{B 0} - E_{n c}

9-

E_{C B M} (d) = E_{C B M} (\infty) + \frac{11.86}{d_{n c}^{2} + 1.51 d_{n c} + 3.3936}

10-

D_{N C} (E)

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/nucl-th/9810053

Formulas:

1-

N^{*} (1440)

2-

N \to S_{11} (1535)

3-

N \to S_{11} (1650)

4-

N \to S_{31} (1620)

5-

J_{f} = 1 / 2

6-

{\bar{Ψ}}_{f} J^{μ} Ψ_{τ} = {\bar{Ψ}}_{f} γ^{5} [\frac{p_{f}^{μ} + p_{i}^{μ}}{M_{f} - M_{i}} F_{2}^{f τ} - \frac{M_{f} + M_{i}}{M_{f} - M_{i}} q^{μ} F_{1}^{f τ} + γ^{μ} (F_{1}^{f τ} + F_{2}^{f τ})] Ψ_{τ}

7-

S_{1 / 2}^{τ} (Q^{2}) = ζ \sqrt{\frac{2 π α}{k^{*}}} \sqrt{\frac{Q^{+}}{2 M_{i} M_{f}}} \sqrt{\frac{Q^{+} Q^{-}}{4 M_{f}}} \frac{M_{f} - M_{i}}{Q^{2} \sqrt{2}} [F_{1}^{f τ} - \frac{Q^{2}}{{(M_{f} - M_{i})}^{2}} F_{2}^{f τ}]

8-

A_{1 / 2}^{τ} (Q^{2}) = - ζ \sqrt{\frac{2 π α}{k^{*}}} \sqrt{\frac{Q^{+}}{2 M_{i} M_{f}}} (F_{1}^{f τ} + F_{2}^{f τ})

9-

k^{*} = (M_{f}^{2} - M_{i}^{2}) / 2 M_{f}

10-

Q^{\pm} = {(M_{f} \pm M_{i})}^{2} + Q^{2}

Formulas (html):

Correct Categorie: nucl-th

Guessed Categorie: hep-ph

Result: incorrect

Paper: https://arxiv.org/abs/1506.01107

Formulas:

1-

n_{e} (γ)

2-

n_{e} (γ)

3-

n_{e} (γ)

4-

γ_{inj} \sim m_{π} / m_{e} \sim 300

5-

R_{c} \sim 3 \times 10^{10}

6-

L = L_{pl} + L_{rad} + L_{B} + L_{turb} = c o n s t .

7-

L_{pl} (r)

8-

L_{turb} (r)

9-

L_{rad} (r)

10-

L_{B} (r)

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/1406.5727

Formulas:

1-

N_{H} = 7 \times 10^{22} {cm}^{- 2}

2-

I_{7 k e V} = 11.4 \pm 0.3 \times 10^{- 4} {cm}^{- 5}

3-

wabs \times (apec + powerlaw) + gaussian .

4-

Δ E_{6.4 keV}

5-

F_{6.4 keV} = 8.2 \times 10^{- 6} ph {cm}^{- 2} s^{- 1}

6-

I_{cont} = 19.3 \times 10^{- 5} ph {cm}^{- 2} s^{- 1} {keV}^{- 1}

7-

N_{H} = 6.0 \pm 0.3 \times 10^{22} {cm}^{- 2}

8-

I_{2.2 keV} = 3.6 \pm 0.7 \times 10^{- 4} {cm}^{- 5}

9-

F_{6.4 keV} = 8.3 \pm 1.0 \times 10^{- 6} ph {cm}^{- 2} s^{- 1}

10-

I_{cont} = 20.1 \pm 1.6 \times 10^{- 5} ph {cm}^{- 2} s^{- 1} {keV}^{- 1}

Formulas (html):

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xref="S2.F2.5.m2.1.1.2.2.cmml">F</mi><mrow id="S2.F2.5.m2.1.1.2.3" xref="S2.F2.5.m2.1.1.2.3.cmml"><mn id="S2.F2.5.m2.1.1.2.3.2" xref="S2.F2.5.m2.1.1.2.3.2.cmml">6.4</mn><mo id="S2.F2.5.m2.1.1.2.3.1" xref="S2.F2.5.m2.1.1.2.3.1.cmml">⁢</mo><mi id="S2.F2.5.m2.1.1.2.3.3" xref="S2.F2.5.m2.1.1.2.3.3.cmml">keV</mi></mrow></msub><mo id="S2.F2.5.m2.1.1.1" xref="S2.F2.5.m2.1.1.1.cmml">=</mo><mrow id="S2.F2.5.m2.1.1.3" xref="S2.F2.5.m2.1.1.3.cmml"><mrow id="S2.F2.5.m2.1.1.3.2" xref="S2.F2.5.m2.1.1.3.2.cmml"><mn id="S2.F2.5.m2.1.1.3.2.2" xref="S2.F2.5.m2.1.1.3.2.2.cmml">8.2</mn><mo id="S2.F2.5.m2.1.1.3.2.1" xref="S2.F2.5.m2.1.1.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S2.F2.5.m2.1.1.3.2.3" xref="S2.F2.5.m2.1.1.3.2.3.cmml"><msup id="S2.F2.5.m2.1.1.3.2.3b" xref="S2.F2.5.m2.1.1.3.2.3.cmml"><mn id="S2.F2.5.m2.1.1.3.2.3.2" xref="S2.F2.5.m2.1.1.3.2.3.2.cmml">10</mn><mrow id="S2.F2.5.m2.1.1.3.2.3.3" xref="S2.F2.5.m2.1.1.3.2.3.3.cmml"><mo id="S2.F2.5.m2.1.1.3.2.3.3.1" xref="S2.F2.5.m2.1.1.3.2.3.3.1.cmml">-</mo><mn id="S2.F2.5.m2.1.1.3.2.3.3.2" xref="S2.F2.5.m2.1.1.3.2.3.3.2.cmml">6</mn></mrow></msup></mpadded></mrow><mo id="S2.F2.5.m2.1.1.3.1" xref="S2.F2.5.m2.1.1.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S2.F2.5.m2.1.1.3.3" xref="S2.F2.5.m2.1.1.3.3.cmml"><mi id="S2.F2.5.m2.1.1.3.3b" xref="S2.F2.5.m2.1.1.3.3.cmml">ph</mi></mpadded><mo id="S2.F2.5.m2.1.1.3.1b" xref="S2.F2.5.m2.1.1.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S2.F2.5.m2.1.1.3.4" xref="S2.F2.5.m2.1.1.3.4.cmml"><msup id="S2.F2.5.m2.1.1.3.4b" xref="S2.F2.5.m2.1.1.3.4.cmml"><mi id="S2.F2.5.m2.1.1.3.4.2" xref="S2.F2.5.m2.1.1.3.4.2.cmml">cm</mi><mrow id="S2.F2.5.m2.1.1.3.4.3" xref="S2.F2.5.m2.1.1.3.4.3.cmml"><mo id="S2.F2.5.m2.1.1.3.4.3.1" xref="S2.F2.5.m2.1.1.3.4.3.1.cmml">-</mo><mn id="S2.F2.5.m2.1.1.3.4.3.2" xref="S2.F2.5.m2.1.1.3.4.3.2.cmml">2</mn></mrow></msup></mpadded><mo id="S2.F2.5.m2.1.1.3.1c" xref="S2.F2.5.m2.1.1.3.1.cmml">⁢</mo><msup id="S2.F2.5.m2.1.1.3.5" xref="S2.F2.5.m2.1.1.3.5.cmml"><mi mathvariant="normal" id="S2.F2.5.m2.1.1.3.5.2" xref="S2.F2.5.m2.1.1.3.5.2.cmml">s</mi><mrow id="S2.F2.5.m2.1.1.3.5.3" xref="S2.F2.5.m2.1.1.3.5.3.cmml"><mo id="S2.F2.5.m2.1.1.3.5.3.1" xref="S2.F2.5.m2.1.1.3.5.3.1.cmml">-</mo><mn id="S2.F2.5.m2.1.1.3.5.3.2" xref="S2.F2.5.m2.1.1.3.5.3.2.cmml">1</mn></mrow></msup></mrow></mrow></math>, <math><mrow id="S2.F3.3.m1.1.1" xref="S2.F3.3.m1.1.1.cmml"><msub id="S2.F3.3.m1.1.1.2" xref="S2.F3.3.m1.1.1.2.cmml"><mi mathvariant="normal" id="S2.F3.3.m1.1.1.2.2" xref="S2.F3.3.m1.1.1.2.2.cmml">I</mi><mi id="S2.F3.3.m1.1.1.2.3" xref="S2.F3.3.m1.1.1.2.3.cmml">cont</mi></msub><mo id="S2.F3.3.m1.1.1.1" xref="S2.F3.3.m1.1.1.1.cmml">=</mo><mrow id="S2.F3.3.m1.1.1.3" xref="S2.F3.3.m1.1.1.3.cmml"><mrow id="S2.F3.3.m1.1.1.3.2" xref="S2.F3.3.m1.1.1.3.2.cmml"><mn id="S2.F3.3.m1.1.1.3.2.2" xref="S2.F3.3.m1.1.1.3.2.2.cmml">19.3</mn><mo id="S2.F3.3.m1.1.1.3.2.1" xref="S2.F3.3.m1.1.1.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S2.F3.3.m1.1.1.3.2.3" xref="S2.F3.3.m1.1.1.3.2.3.cmml"><msup id="S2.F3.3.m1.1.1.3.2.3b" xref="S2.F3.3.m1.1.1.3.2.3.cmml"><mn id="S2.F3.3.m1.1.1.3.2.3.2" xref="S2.F3.3.m1.1.1.3.2.3.2.cmml">10</mn><mrow id="S2.F3.3.m1.1.1.3.2.3.3" xref="S2.F3.3.m1.1.1.3.2.3.3.cmml"><mo id="S2.F3.3.m1.1.1.3.2.3.3.1" xref="S2.F3.3.m1.1.1.3.2.3.3.1.cmml">-</mo><mn id="S2.F3.3.m1.1.1.3.2.3.3.2" xref="S2.F3.3.m1.1.1.3.2.3.3.2.cmml">5</mn></mrow></msup></mpadded></mrow><mo id="S2.F3.3.m1.1.1.3.1" xref="S2.F3.3.m1.1.1.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S2.F3.3.m1.1.1.3.3" xref="S2.F3.3.m1.1.1.3.3.cmml"><mi id="S2.F3.3.m1.1.1.3.3b" xref="S2.F3.3.m1.1.1.3.3.cmml">ph</mi></mpadded><mo id="S2.F3.3.m1.1.1.3.1b" xref="S2.F3.3.m1.1.1.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S2.F3.3.m1.1.1.3.4" xref="S2.F3.3.m1.1.1.3.4.cmml"><msup id="S2.F3.3.m1.1.1.3.4b" xref="S2.F3.3.m1.1.1.3.4.cmml"><mi id="S2.F3.3.m1.1.1.3.4.2" xref="S2.F3.3.m1.1.1.3.4.2.cmml">cm</mi><mrow id="S2.F3.3.m1.1.1.3.4.3" xref="S2.F3.3.m1.1.1.3.4.3.cmml"><mo id="S2.F3.3.m1.1.1.3.4.3.1" xref="S2.F3.3.m1.1.1.3.4.3.1.cmml">-</mo><mn id="S2.F3.3.m1.1.1.3.4.3.2" xref="S2.F3.3.m1.1.1.3.4.3.2.cmml">2</mn></mrow></msup></mpadded><mo id="S2.F3.3.m1.1.1.3.1c" xref="S2.F3.3.m1.1.1.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S2.F3.3.m1.1.1.3.5" xref="S2.F3.3.m1.1.1.3.5.cmml"><msup id="S2.F3.3.m1.1.1.3.5b" xref="S2.F3.3.m1.1.1.3.5.cmml"><mi mathvariant="normal" id="S2.F3.3.m1.1.1.3.5.2" xref="S2.F3.3.m1.1.1.3.5.2.cmml">s</mi><mrow id="S2.F3.3.m1.1.1.3.5.3" xref="S2.F3.3.m1.1.1.3.5.3.cmml"><mo id="S2.F3.3.m1.1.1.3.5.3.1" xref="S2.F3.3.m1.1.1.3.5.3.1.cmml">-</mo><mn id="S2.F3.3.m1.1.1.3.5.3.2" xref="S2.F3.3.m1.1.1.3.5.3.2.cmml">1</mn></mrow></msup></mpadded><mo id="S2.F3.3.m1.1.1.3.1d" xref="S2.F3.3.m1.1.1.3.1.cmml">⁢</mo><msup id="S2.F3.3.m1.1.1.3.6" xref="S2.F3.3.m1.1.1.3.6.cmml"><mi id="S2.F3.3.m1.1.1.3.6.2" xref="S2.F3.3.m1.1.1.3.6.2.cmml">keV</mi><mrow id="S2.F3.3.m1.1.1.3.6.3" xref="S2.F3.3.m1.1.1.3.6.3.cmml"><mo id="S2.F3.3.m1.1.1.3.6.3.1" xref="S2.F3.3.m1.1.1.3.6.3.1.cmml">-</mo><mn id="S2.F3.3.m1.1.1.3.6.3.2" xref="S2.F3.3.m1.1.1.3.6.3.2.cmml">1</mn></mrow></msup></mrow></mrow></math>, <math><mrow id="S3.p3.8.m8.1.1" xref="S3.p3.8.m8.1.1.cmml"><msub id="S3.p3.8.m8.1.1.2" xref="S3.p3.8.m8.1.1.2.cmml"><mi mathvariant="normal" id="S3.p3.8.m8.1.1.2.2" xref="S3.p3.8.m8.1.1.2.2.cmml">N</mi><mi mathvariant="normal" id="S3.p3.8.m8.1.1.2.3" xref="S3.p3.8.m8.1.1.2.3.cmml">H</mi></msub><mo id="S3.p3.8.m8.1.1.1" xref="S3.p3.8.m8.1.1.1.cmml">=</mo><mrow id="S3.p3.8.m8.1.1.3" xref="S3.p3.8.m8.1.1.3.cmml"><mn id="S3.p3.8.m8.1.1.3.2" xref="S3.p3.8.m8.1.1.3.2.cmml">6.0</mn><mo id="S3.p3.8.m8.1.1.3.1" xref="S3.p3.8.m8.1.1.3.1.cmml">±</mo><mrow id="S3.p3.8.m8.1.1.3.3" xref="S3.p3.8.m8.1.1.3.3.cmml"><mrow id="S3.p3.8.m8.1.1.3.3.2" xref="S3.p3.8.m8.1.1.3.3.2.cmml"><mn id="S3.p3.8.m8.1.1.3.3.2.2" xref="S3.p3.8.m8.1.1.3.3.2.2.cmml">0.3</mn><mo id="S3.p3.8.m8.1.1.3.3.2.1" xref="S3.p3.8.m8.1.1.3.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S3.p3.8.m8.1.1.3.3.2.3" xref="S3.p3.8.m8.1.1.3.3.2.3.cmml"><msup id="S3.p3.8.m8.1.1.3.3.2.3a" xref="S3.p3.8.m8.1.1.3.3.2.3.cmml"><mn id="S3.p3.8.m8.1.1.3.3.2.3.2" xref="S3.p3.8.m8.1.1.3.3.2.3.2.cmml">10</mn><mn id="S3.p3.8.m8.1.1.3.3.2.3.3" xref="S3.p3.8.m8.1.1.3.3.2.3.3.cmml">22</mn></msup></mpadded></mrow><mo id="S3.p3.8.m8.1.1.3.3.1" xref="S3.p3.8.m8.1.1.3.3.1.cmml">⁢</mo><msup id="S3.p3.8.m8.1.1.3.3.3" xref="S3.p3.8.m8.1.1.3.3.3.cmml"><mi id="S3.p3.8.m8.1.1.3.3.3.2" xref="S3.p3.8.m8.1.1.3.3.3.2.cmml">cm</mi><mrow id="S3.p3.8.m8.1.1.3.3.3.3" xref="S3.p3.8.m8.1.1.3.3.3.3.cmml"><mo id="S3.p3.8.m8.1.1.3.3.3.3.1" xref="S3.p3.8.m8.1.1.3.3.3.3.1.cmml">-</mo><mn id="S3.p3.8.m8.1.1.3.3.3.3.2" xref="S3.p3.8.m8.1.1.3.3.3.3.2.cmml">2</mn></mrow></msup></mrow></mrow></mrow></math>, <math><mrow id="S3.p3.9.m9.1.1" xref="S3.p3.9.m9.1.1.cmml"><msub id="S3.p3.9.m9.1.1.2" xref="S3.p3.9.m9.1.1.2.cmml"><mi mathvariant="normal" id="S3.p3.9.m9.1.1.2.2" xref="S3.p3.9.m9.1.1.2.2.cmml">I</mi><mrow id="S3.p3.9.m9.1.1.2.3" xref="S3.p3.9.m9.1.1.2.3.cmml"><mn id="S3.p3.9.m9.1.1.2.3.2" xref="S3.p3.9.m9.1.1.2.3.2.cmml">2.2</mn><mo id="S3.p3.9.m9.1.1.2.3.1" xref="S3.p3.9.m9.1.1.2.3.1.cmml">⁢</mo><mi id="S3.p3.9.m9.1.1.2.3.3" xref="S3.p3.9.m9.1.1.2.3.3.cmml">keV</mi></mrow></msub><mo id="S3.p3.9.m9.1.1.1" xref="S3.p3.9.m9.1.1.1.cmml">=</mo><mrow id="S3.p3.9.m9.1.1.3" xref="S3.p3.9.m9.1.1.3.cmml"><mn id="S3.p3.9.m9.1.1.3.2" xref="S3.p3.9.m9.1.1.3.2.cmml">3.6</mn><mo id="S3.p3.9.m9.1.1.3.1" xref="S3.p3.9.m9.1.1.3.1.cmml">±</mo><mrow id="S3.p3.9.m9.1.1.3.3" xref="S3.p3.9.m9.1.1.3.3.cmml"><mrow id="S3.p3.9.m9.1.1.3.3.2" xref="S3.p3.9.m9.1.1.3.3.2.cmml"><mn id="S3.p3.9.m9.1.1.3.3.2.2" xref="S3.p3.9.m9.1.1.3.3.2.2.cmml">0.7</mn><mo id="S3.p3.9.m9.1.1.3.3.2.1" xref="S3.p3.9.m9.1.1.3.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S3.p3.9.m9.1.1.3.3.2.3" xref="S3.p3.9.m9.1.1.3.3.2.3.cmml"><msup id="S3.p3.9.m9.1.1.3.3.2.3a" xref="S3.p3.9.m9.1.1.3.3.2.3.cmml"><mn id="S3.p3.9.m9.1.1.3.3.2.3.2" xref="S3.p3.9.m9.1.1.3.3.2.3.2.cmml">10</mn><mrow id="S3.p3.9.m9.1.1.3.3.2.3.3" xref="S3.p3.9.m9.1.1.3.3.2.3.3.cmml"><mo id="S3.p3.9.m9.1.1.3.3.2.3.3.1" xref="S3.p3.9.m9.1.1.3.3.2.3.3.1.cmml">-</mo><mn id="S3.p3.9.m9.1.1.3.3.2.3.3.2" xref="S3.p3.9.m9.1.1.3.3.2.3.3.2.cmml">4</mn></mrow></msup></mpadded></mrow><mo id="S3.p3.9.m9.1.1.3.3.1" xref="S3.p3.9.m9.1.1.3.3.1.cmml">⁢</mo><msup id="S3.p3.9.m9.1.1.3.3.3" xref="S3.p3.9.m9.1.1.3.3.3.cmml"><mi id="S3.p3.9.m9.1.1.3.3.3.2" xref="S3.p3.9.m9.1.1.3.3.3.2.cmml">cm</mi><mrow id="S3.p3.9.m9.1.1.3.3.3.3" xref="S3.p3.9.m9.1.1.3.3.3.3.cmml"><mo id="S3.p3.9.m9.1.1.3.3.3.3.1" xref="S3.p3.9.m9.1.1.3.3.3.3.1.cmml">-</mo><mn id="S3.p3.9.m9.1.1.3.3.3.3.2" xref="S3.p3.9.m9.1.1.3.3.3.3.2.cmml">5</mn></mrow></msup></mrow></mrow></mrow></math>, <math><mrow id="S3.p4.3.m3.1.1" xref="S3.p4.3.m3.1.1.cmml"><msub id="S3.p4.3.m3.1.1.2" xref="S3.p4.3.m3.1.1.2.cmml"><mi mathvariant="normal" id="S3.p4.3.m3.1.1.2.2" xref="S3.p4.3.m3.1.1.2.2.cmml">F</mi><mrow id="S3.p4.3.m3.1.1.2.3" xref="S3.p4.3.m3.1.1.2.3.cmml"><mn id="S3.p4.3.m3.1.1.2.3.2" xref="S3.p4.3.m3.1.1.2.3.2.cmml">6.4</mn><mo id="S3.p4.3.m3.1.1.2.3.1" xref="S3.p4.3.m3.1.1.2.3.1.cmml">⁢</mo><mi id="S3.p4.3.m3.1.1.2.3.3" xref="S3.p4.3.m3.1.1.2.3.3.cmml">keV</mi></mrow></msub><mo id="S3.p4.3.m3.1.1.1" xref="S3.p4.3.m3.1.1.1.cmml">=</mo><mrow id="S3.p4.3.m3.1.1.3" xref="S3.p4.3.m3.1.1.3.cmml"><mn id="S3.p4.3.m3.1.1.3.2" xref="S3.p4.3.m3.1.1.3.2.cmml">8.3</mn><mo id="S3.p4.3.m3.1.1.3.1" xref="S3.p4.3.m3.1.1.3.1.cmml">±</mo><mrow id="S3.p4.3.m3.1.1.3.3" xref="S3.p4.3.m3.1.1.3.3.cmml"><mrow id="S3.p4.3.m3.1.1.3.3.2" xref="S3.p4.3.m3.1.1.3.3.2.cmml"><mn id="S3.p4.3.m3.1.1.3.3.2.2" xref="S3.p4.3.m3.1.1.3.3.2.2.cmml">1.0</mn><mo id="S3.p4.3.m3.1.1.3.3.2.1" xref="S3.p4.3.m3.1.1.3.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S3.p4.3.m3.1.1.3.3.2.3" xref="S3.p4.3.m3.1.1.3.3.2.3.cmml"><msup id="S3.p4.3.m3.1.1.3.3.2.3a" 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xref="S3.p4.5.m5.1.1.1.cmml">=</mo><mrow id="S3.p4.5.m5.1.1.3" xref="S3.p4.5.m5.1.1.3.cmml"><mn id="S3.p4.5.m5.1.1.3.2" xref="S3.p4.5.m5.1.1.3.2.cmml">20.1</mn><mo id="S3.p4.5.m5.1.1.3.1" xref="S3.p4.5.m5.1.1.3.1.cmml">±</mo><mrow id="S3.p4.5.m5.1.1.3.3" xref="S3.p4.5.m5.1.1.3.3.cmml"><mrow id="S3.p4.5.m5.1.1.3.3.2" xref="S3.p4.5.m5.1.1.3.3.2.cmml"><mn id="S3.p4.5.m5.1.1.3.3.2.2" xref="S3.p4.5.m5.1.1.3.3.2.2.cmml">1.6</mn><mo id="S3.p4.5.m5.1.1.3.3.2.1" xref="S3.p4.5.m5.1.1.3.3.2.1.cmml">×</mo><mpadded width="+1.7pt" id="S3.p4.5.m5.1.1.3.3.2.3" xref="S3.p4.5.m5.1.1.3.3.2.3.cmml"><msup id="S3.p4.5.m5.1.1.3.3.2.3a" xref="S3.p4.5.m5.1.1.3.3.2.3.cmml"><mn id="S3.p4.5.m5.1.1.3.3.2.3.2" xref="S3.p4.5.m5.1.1.3.3.2.3.2.cmml">10</mn><mrow id="S3.p4.5.m5.1.1.3.3.2.3.3" xref="S3.p4.5.m5.1.1.3.3.2.3.3.cmml"><mo id="S3.p4.5.m5.1.1.3.3.2.3.3.1" xref="S3.p4.5.m5.1.1.3.3.2.3.3.1.cmml">-</mo><mn id="S3.p4.5.m5.1.1.3.3.2.3.3.2" xref="S3.p4.5.m5.1.1.3.3.2.3.3.2.cmml">5</mn></mrow></msup></mpadded></mrow><mo id="S3.p4.5.m5.1.1.3.3.1" xref="S3.p4.5.m5.1.1.3.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S3.p4.5.m5.1.1.3.3.3" xref="S3.p4.5.m5.1.1.3.3.3.cmml"><mi id="S3.p4.5.m5.1.1.3.3.3a" xref="S3.p4.5.m5.1.1.3.3.3.cmml">ph</mi></mpadded><mo id="S3.p4.5.m5.1.1.3.3.1a" xref="S3.p4.5.m5.1.1.3.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S3.p4.5.m5.1.1.3.3.4" xref="S3.p4.5.m5.1.1.3.3.4.cmml"><msup id="S3.p4.5.m5.1.1.3.3.4a" xref="S3.p4.5.m5.1.1.3.3.4.cmml"><mi id="S3.p4.5.m5.1.1.3.3.4.2" xref="S3.p4.5.m5.1.1.3.3.4.2.cmml">cm</mi><mrow id="S3.p4.5.m5.1.1.3.3.4.3" xref="S3.p4.5.m5.1.1.3.3.4.3.cmml"><mo id="S3.p4.5.m5.1.1.3.3.4.3.1" xref="S3.p4.5.m5.1.1.3.3.4.3.1.cmml">-</mo><mn id="S3.p4.5.m5.1.1.3.3.4.3.2" xref="S3.p4.5.m5.1.1.3.3.4.3.2.cmml">2</mn></mrow></msup></mpadded><mo id="S3.p4.5.m5.1.1.3.3.1b" xref="S3.p4.5.m5.1.1.3.3.1.cmml">⁢</mo><mpadded width="+1.7pt" id="S3.p4.5.m5.1.1.3.3.5" xref="S3.p4.5.m5.1.1.3.3.5.cmml"><msup id="S3.p4.5.m5.1.1.3.3.5a" xref="S3.p4.5.m5.1.1.3.3.5.cmml"><mi mathvariant="normal" id="S3.p4.5.m5.1.1.3.3.5.2" xref="S3.p4.5.m5.1.1.3.3.5.2.cmml">s</mi><mrow id="S3.p4.5.m5.1.1.3.3.5.3" xref="S3.p4.5.m5.1.1.3.3.5.3.cmml"><mo id="S3.p4.5.m5.1.1.3.3.5.3.1" xref="S3.p4.5.m5.1.1.3.3.5.3.1.cmml">-</mo><mn id="S3.p4.5.m5.1.1.3.3.5.3.2" xref="S3.p4.5.m5.1.1.3.3.5.3.2.cmml">1</mn></mrow></msup></mpadded><mo id="S3.p4.5.m5.1.1.3.3.1c" xref="S3.p4.5.m5.1.1.3.3.1.cmml">⁢</mo><msup id="S3.p4.5.m5.1.1.3.3.6" xref="S3.p4.5.m5.1.1.3.3.6.cmml"><mi id="S3.p4.5.m5.1.1.3.3.6.2" xref="S3.p4.5.m5.1.1.3.3.6.2.cmml">keV</mi><mrow id="S3.p4.5.m5.1.1.3.3.6.3" xref="S3.p4.5.m5.1.1.3.3.6.3.cmml"><mo id="S3.p4.5.m5.1.1.3.3.6.3.1" xref="S3.p4.5.m5.1.1.3.3.6.3.1.cmml">-</mo><mn id="S3.p4.5.m5.1.1.3.3.6.3.2" xref="S3.p4.5.m5.1.1.3.3.6.3.2.cmml">1</mn></mrow></msup></mrow></mrow></mrow></math>

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/cond-mat/0004066

Formulas:

1-

\dot{V} = [v_{o p t} (Δ x) - V] / τ

2-

v_{o p t} (Δ x) = Δ x / t_{0}

3-

h = V t_{0}

4-

η \equiv Δ x - h

5-

v \equiv Δ \dot{x} - h / t_{0} + V

6-

h / t_{0} - V

7-

\dot{η} = - η / t_{η} + v,

8-

η = t_{η} v

9-

\dot{v} = - v / t_{v} + g_{v} η τ,

10-

\dot{τ} = (τ_{0} - τ) / t_{τ} - g_{τ} η v

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: physics

Result: incorrect

Paper: https://arxiv.org/abs/math/0512377

Formulas:

1-

k \geq k_{c r} (d)

2-

k_{c r} (d)

3-

2^{k_{c r} - 1} + k_{c r} = d

4-

G (d, k)

5-

L \in G (d, k)

6-

𝒩^{k} [f] (L) = sup_{x \in ℝ^{d}} \int_{x + L} f (y) 𝑑 y

7-

B (0, 1) \subset ℝ^{d}

8-

L^{p} (ℝ^{d})

9-

L^{1} (G (d, k))

10-

B (0, δ)

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/hep-th/0207255

Formulas:

1-

A d S_{5}

2-

A d S_{5}

3-

A d S_{5}

4-

A d S_{5}

5-

S L (2, R)

6-

S U (4) \sim S O (6)

7-

S L (2, R)

8-

S L (2)

9-

S L (2)

10-

g_{μ ν}, A_{μ}^{[A B]}, S, ψ_{μ α}^{A}, χ_{A} .

Formulas (html):

Correct Categorie: hep-th

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/9708115

Formulas:

1-

λ_{a b} (H)

2-

H_{c 2} (T)

3-

ξ (T) = \sqrt{\frac{Φ_{\circ}}{2 π H_{c 2} (T)}} .

4-

T / T_{c} \sim 0.85

5-

H_{c 2} (T)

6-

B_{0} (1 - b^{4}) \sum_{𝐆} \frac{e^{- i 𝐆 \cdot 𝝆} u K_{1} (u)}{λ_{a b}^{2} G^{2}},

7-

2 ξ_{a b}^{2} G^{2} (1 + b^{4}) [1 - 2 b {(1 - b)}^{2}] .

8-

b = B / B_{c 2}

9-

K_{1} (u)

10-

u K_{1} (u)

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/2007.08072

Formulas:

1-

E_{0}^{2} / ω^{3}

2-

E_{0}^{2} / ω^{3}

3-

E_{0}^{2} / ω^{3}

4-

ω = ℏ \tilde{ω} / t

5-

E_{0} = e a {\tilde{E}}_{0} / t

6-

B_{0} = g μ_{B} {\tilde{E}}_{0} / (2 c t)

7-

= 3.86 \times 10^{- 4}

8-

τ = \tilde{τ} t / ℏ

9-

{\tilde{B}}_{0} = {\tilde{E}}_{0} / c

10-

B_{0} = 3.86 \times 10^{- 4}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: physics

Result: incorrect

Paper: https://arxiv.org/abs/1908.02672

Formulas:

1-

g^{(2)} (0)

2-

g^{(2)} (0)

3-

g^{(2)} (0)

4-

g^{(2)} (0)

5-

g^{(2)} (0) = 0.089 \pm 0.002

6-

g^{(2)} (0)

7-

{QBER}_{Bob} = \underset{optical imperfections}{\underset{⏟}{\frac{q p_{signal}}{p_{click}}}} + \underset{dark counts}{\underset{⏟}{\frac{p_{dc / 2}}{p_{click}}}},

8-

{QBER}_{Bob}^{H} (Δ t, t_{c}) = N_{V} / (N_{H} + N_{V})

9-

g^{(2)} (0)

10-

g^{(2)} (τ)

Formulas (html):

<math><mrow id="id1.1.m1.2.3" xref="id1.1.m1.2.3.cmml"><msup id="id1.1.m1.2.3.2" xref="id1.1.m1.2.3.2.cmml"><mi id="id1.1.m1.2.3.2.2" xref="id1.1.m1.2.3.2.2.cmml">g</mi><mrow id="id1.1.m1.1.1.1.3" xref="id1.1.m1.2.3.2.cmml"><mo stretchy="false" id="id1.1.m1.1.1.1.3.1" xref="id1.1.m1.2.3.2.cmml">(</mo><mn id="id1.1.m1.1.1.1.1" xref="id1.1.m1.1.1.1.1.cmml">2</mn><mo stretchy="false" id="id1.1.m1.1.1.1.3.2" xref="id1.1.m1.2.3.2.cmml">)</mo></mrow></msup><mo id="id1.1.m1.2.3.1" xref="id1.1.m1.2.3.1.cmml">⁢</mo><mrow id="id1.1.m1.2.3.3.2" xref="id1.1.m1.2.3.cmml"><mo stretchy="false" id="id1.1.m1.2.3.3.2.1" xref="id1.1.m1.2.3.cmml">(</mo><mn id="id1.1.m1.2.2" xref="id1.1.m1.2.2.cmml">0</mn><mo stretchy="false" id="id1.1.m1.2.3.3.2.2" xref="id1.1.m1.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S1.p1.1.m1.2.3" xref="S1.p1.1.m1.2.3.cmml"><msup id="S1.p1.1.m1.2.3.2" xref="S1.p1.1.m1.2.3.2.cmml"><mi id="S1.p1.1.m1.2.3.2.2" xref="S1.p1.1.m1.2.3.2.2.cmml">g</mi><mrow id="S1.p1.1.m1.1.1.1.3" xref="S1.p1.1.m1.2.3.2.cmml"><mo stretchy="false" id="S1.p1.1.m1.1.1.1.3.1" xref="S1.p1.1.m1.2.3.2.cmml">(</mo><mn id="S1.p1.1.m1.1.1.1.1" xref="S1.p1.1.m1.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S1.p1.1.m1.1.1.1.3.2" xref="S1.p1.1.m1.2.3.2.cmml">)</mo></mrow></msup><mo id="S1.p1.1.m1.2.3.1" xref="S1.p1.1.m1.2.3.1.cmml">⁢</mo><mrow id="S1.p1.1.m1.2.3.3.2" xref="S1.p1.1.m1.2.3.cmml"><mo stretchy="false" id="S1.p1.1.m1.2.3.3.2.1" xref="S1.p1.1.m1.2.3.cmml">(</mo><mn id="S1.p1.1.m1.2.2" xref="S1.p1.1.m1.2.2.cmml">0</mn><mo stretchy="false" id="S1.p1.1.m1.2.3.3.2.2" xref="S1.p1.1.m1.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S1.p2.1.m1.2.3" xref="S1.p2.1.m1.2.3.cmml"><msup id="S1.p2.1.m1.2.3.2" xref="S1.p2.1.m1.2.3.2.cmml"><mi id="S1.p2.1.m1.2.3.2.2" xref="S1.p2.1.m1.2.3.2.2.cmml">g</mi><mrow id="S1.p2.1.m1.1.1.1.3" xref="S1.p2.1.m1.2.3.2.cmml"><mo stretchy="false" id="S1.p2.1.m1.1.1.1.3.1" xref="S1.p2.1.m1.2.3.2.cmml">(</mo><mn id="S1.p2.1.m1.1.1.1.1" xref="S1.p2.1.m1.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.1.m1.1.1.1.3.2" xref="S1.p2.1.m1.2.3.2.cmml">)</mo></mrow></msup><mo id="S1.p2.1.m1.2.3.1" xref="S1.p2.1.m1.2.3.1.cmml">⁢</mo><mrow id="S1.p2.1.m1.2.3.3.2" xref="S1.p2.1.m1.2.3.cmml"><mo stretchy="false" id="S1.p2.1.m1.2.3.3.2.1" xref="S1.p2.1.m1.2.3.cmml">(</mo><mn id="S1.p2.1.m1.2.2" xref="S1.p2.1.m1.2.2.cmml">0</mn><mo stretchy="false" id="S1.p2.1.m1.2.3.3.2.2" xref="S1.p2.1.m1.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S1.p2.2.m2.2.3" xref="S1.p2.2.m2.2.3.cmml"><msup id="S1.p2.2.m2.2.3.2" xref="S1.p2.2.m2.2.3.2.cmml"><mi id="S1.p2.2.m2.2.3.2.2" xref="S1.p2.2.m2.2.3.2.2.cmml">g</mi><mrow id="S1.p2.2.m2.1.1.1.3" xref="S1.p2.2.m2.2.3.2.cmml"><mo stretchy="false" id="S1.p2.2.m2.1.1.1.3.1" xref="S1.p2.2.m2.2.3.2.cmml">(</mo><mn id="S1.p2.2.m2.1.1.1.1" xref="S1.p2.2.m2.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.2.m2.1.1.1.3.2" xref="S1.p2.2.m2.2.3.2.cmml">)</mo></mrow></msup><mo id="S1.p2.2.m2.2.3.1" xref="S1.p2.2.m2.2.3.1.cmml">⁢</mo><mrow id="S1.p2.2.m2.2.3.3.2" xref="S1.p2.2.m2.2.3.cmml"><mo stretchy="false" id="S1.p2.2.m2.2.3.3.2.1" xref="S1.p2.2.m2.2.3.cmml">(</mo><mn id="S1.p2.2.m2.2.2" xref="S1.p2.2.m2.2.2.cmml">0</mn><mo stretchy="false" id="S1.p2.2.m2.2.3.3.2.2" xref="S1.p2.2.m2.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S2.SSx1.p2.1.m1.2.3" xref="S2.SSx1.p2.1.m1.2.3.cmml"><mrow id="S2.SSx1.p2.1.m1.2.3.2" xref="S2.SSx1.p2.1.m1.2.3.2.cmml"><msup id="S2.SSx1.p2.1.m1.2.3.2.2" xref="S2.SSx1.p2.1.m1.2.3.2.2.cmml"><mi id="S2.SSx1.p2.1.m1.2.3.2.2.2" xref="S2.SSx1.p2.1.m1.2.3.2.2.2.cmml">g</mi><mrow id="S2.SSx1.p2.1.m1.1.1.1.3" xref="S2.SSx1.p2.1.m1.2.3.2.2.cmml"><mo stretchy="false" id="S2.SSx1.p2.1.m1.1.1.1.3.1" xref="S2.SSx1.p2.1.m1.2.3.2.2.cmml">(</mo><mn id="S2.SSx1.p2.1.m1.1.1.1.1" xref="S2.SSx1.p2.1.m1.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S2.SSx1.p2.1.m1.1.1.1.3.2" xref="S2.SSx1.p2.1.m1.2.3.2.2.cmml">)</mo></mrow></msup><mo id="S2.SSx1.p2.1.m1.2.3.2.1" xref="S2.SSx1.p2.1.m1.2.3.2.1.cmml">⁢</mo><mrow id="S2.SSx1.p2.1.m1.2.3.2.3.2" xref="S2.SSx1.p2.1.m1.2.3.2.cmml"><mo stretchy="false" id="S2.SSx1.p2.1.m1.2.3.2.3.2.1" xref="S2.SSx1.p2.1.m1.2.3.2.cmml">(</mo><mn id="S2.SSx1.p2.1.m1.2.2" xref="S2.SSx1.p2.1.m1.2.2.cmml">0</mn><mo stretchy="false" id="S2.SSx1.p2.1.m1.2.3.2.3.2.2" xref="S2.SSx1.p2.1.m1.2.3.2.cmml">)</mo></mrow></mrow><mo id="S2.SSx1.p2.1.m1.2.3.1" xref="S2.SSx1.p2.1.m1.2.3.1.cmml">=</mo><mrow id="S2.SSx1.p2.1.m1.2.3.3" xref="S2.SSx1.p2.1.m1.2.3.3.cmml"><mn id="S2.SSx1.p2.1.m1.2.3.3.2" xref="S2.SSx1.p2.1.m1.2.3.3.2.cmml">0.089</mn><mo id="S2.SSx1.p2.1.m1.2.3.3.1" xref="S2.SSx1.p2.1.m1.2.3.3.1.cmml">±</mo><mn id="S2.SSx1.p2.1.m1.2.3.3.3" xref="S2.SSx1.p2.1.m1.2.3.3.3.cmml">0.002</mn></mrow></mrow></math>, <math><mrow id="S2.SSx1.p2.2.m2.2.3" xref="S2.SSx1.p2.2.m2.2.3.cmml"><msup id="S2.SSx1.p2.2.m2.2.3.2" xref="S2.SSx1.p2.2.m2.2.3.2.cmml"><mi id="S2.SSx1.p2.2.m2.2.3.2.2" xref="S2.SSx1.p2.2.m2.2.3.2.2.cmml">g</mi><mrow id="S2.SSx1.p2.2.m2.1.1.1.3" xref="S2.SSx1.p2.2.m2.2.3.2.cmml"><mo stretchy="false" id="S2.SSx1.p2.2.m2.1.1.1.3.1" xref="S2.SSx1.p2.2.m2.2.3.2.cmml">(</mo><mn id="S2.SSx1.p2.2.m2.1.1.1.1" xref="S2.SSx1.p2.2.m2.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S2.SSx1.p2.2.m2.1.1.1.3.2" xref="S2.SSx1.p2.2.m2.2.3.2.cmml">)</mo></mrow></msup><mo id="S2.SSx1.p2.2.m2.2.3.1" xref="S2.SSx1.p2.2.m2.2.3.1.cmml">⁢</mo><mrow id="S2.SSx1.p2.2.m2.2.3.3.2" xref="S2.SSx1.p2.2.m2.2.3.cmml"><mo stretchy="false" id="S2.SSx1.p2.2.m2.2.3.3.2.1" xref="S2.SSx1.p2.2.m2.2.3.cmml">(</mo><mn id="S2.SSx1.p2.2.m2.2.2" xref="S2.SSx1.p2.2.m2.2.2.cmml">0</mn><mo stretchy="false" id="S2.SSx1.p2.2.m2.2.3.3.2.2" xref="S2.SSx1.p2.2.m2.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S2.E1.m1.1.1.1" xref="S2.E1.m1.1.1.1.1.cmml"><mrow id="S2.E1.m1.1.1.1.1" xref="S2.E1.m1.1.1.1.1.cmml"><msub id="S2.E1.m1.1.1.1.1.2" xref="S2.E1.m1.1.1.1.1.2.cmml"><mtext id="S2.E1.m1.1.1.1.1.2.2" xref="S2.E1.m1.1.1.1.1.2.2a.cmml">QBER</mtext><mtext id="S2.E1.m1.1.1.1.1.2.3" xref="S2.E1.m1.1.1.1.1.2.3a.cmml">Bob</mtext></msub><mo id="S2.E1.m1.1.1.1.1.1" xref="S2.E1.m1.1.1.1.1.1.cmml">=</mo><mrow id="S2.E1.m1.1.1.1.1.3" xref="S2.E1.m1.1.1.1.1.3.cmml"><munder id="S2.E1.m1.1.1.1.1.3.2" xref="S2.E1.m1.1.1.1.1.3.2.cmml"><munder accentunder="true" id="S2.E1.m1.1.1.1.1.3.2.2" xref="S2.E1.m1.1.1.1.1.3.2.2.cmml"><mfrac id="S2.E1.m1.1.1.1.1.3.2.2.2" xref="S2.E1.m1.1.1.1.1.3.2.2.2.cmml"><mrow id="S2.E1.m1.1.1.1.1.3.2.2.2.2" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.cmml"><mi id="S2.E1.m1.1.1.1.1.3.2.2.2.2.2" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.2.cmml">q</mi><mo movablelimits="false" id="S2.E1.m1.1.1.1.1.3.2.2.2.2.1" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.1.cmml">⁢</mo><msub id="S2.E1.m1.1.1.1.1.3.2.2.2.2.3" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.3.cmml"><mi id="S2.E1.m1.1.1.1.1.3.2.2.2.2.3.2" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.3.2.cmml">p</mi><mtext id="S2.E1.m1.1.1.1.1.3.2.2.2.2.3.3" xref="S2.E1.m1.1.1.1.1.3.2.2.2.2.3.3a.cmml">signal</mtext></msub></mrow><msub id="S2.E1.m1.1.1.1.1.3.2.2.2.3" xref="S2.E1.m1.1.1.1.1.3.2.2.2.3.cmml"><mi id="S2.E1.m1.1.1.1.1.3.2.2.2.3.2" xref="S2.E1.m1.1.1.1.1.3.2.2.2.3.2.cmml">p</mi><mtext id="S2.E1.m1.1.1.1.1.3.2.2.2.3.3" xref="S2.E1.m1.1.1.1.1.3.2.2.2.3.3a.cmml">click</mtext></msub></mfrac><mo movablelimits="false" id="S2.E1.m1.1.1.1.1.3.2.2.1" xref="S2.E1.m1.1.1.1.1.3.2.2.1.cmml">⏟</mo></munder><mtext id="S2.E1.m1.1.1.1.1.3.2.3" xref="S2.E1.m1.1.1.1.1.3.2.3a.cmml">optical imperfections</mtext></munder><mo id="S2.E1.m1.1.1.1.1.3.1" xref="S2.E1.m1.1.1.1.1.3.1.cmml">+</mo><mpadded width="+5pt" id="S2.E1.m1.1.1.1.1.3.3" xref="S2.E1.m1.1.1.1.1.3.3.cmml"><munder id="S2.E1.m1.1.1.1.1.3.3a" xref="S2.E1.m1.1.1.1.1.3.3.cmml"><munder accentunder="true" id="S2.E1.m1.1.1.1.1.3.3.2" xref="S2.E1.m1.1.1.1.1.3.3.2.cmml"><mfrac id="S2.E1.m1.1.1.1.1.3.3.2.2" xref="S2.E1.m1.1.1.1.1.3.3.2.2.cmml"><msub id="S2.E1.m1.1.1.1.1.3.3.2.2.2" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.cmml"><mi id="S2.E1.m1.1.1.1.1.3.3.2.2.2.2" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.2.cmml">p</mi><mrow id="S2.E1.m1.1.1.1.1.3.3.2.2.2.3" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.cmml"><mtext id="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.2" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.2a.cmml">dc</mtext><mo movablelimits="false" id="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.1" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.1.cmml">/</mo><mn id="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.3" xref="S2.E1.m1.1.1.1.1.3.3.2.2.2.3.3.cmml">2</mn></mrow></msub><msub id="S2.E1.m1.1.1.1.1.3.3.2.2.3" xref="S2.E1.m1.1.1.1.1.3.3.2.2.3.cmml"><mi id="S2.E1.m1.1.1.1.1.3.3.2.2.3.2" xref="S2.E1.m1.1.1.1.1.3.3.2.2.3.2.cmml">p</mi><mtext id="S2.E1.m1.1.1.1.1.3.3.2.2.3.3" xref="S2.E1.m1.1.1.1.1.3.3.2.2.3.3a.cmml">click</mtext></msub></mfrac><mo movablelimits="false" id="S2.E1.m1.1.1.1.1.3.3.2.1" xref="S2.E1.m1.1.1.1.1.3.3.2.1.cmml">⏟</mo></munder><mtext id="S2.E1.m1.1.1.1.1.3.3.3" xref="S2.E1.m1.1.1.1.1.3.3.3a.cmml">dark counts</mtext></munder></mpadded></mrow></mrow><mo rspace="7.5pt" id="S2.E1.m1.1.1.1.2" xref="S2.E1.m1.1.1.1.1.cmml">,</mo></mrow></math>, <math><mrow id="S2.SSx2.p1.1.m1.3.3" xref="S2.SSx2.p1.1.m1.3.3.cmml"><mrow id="S2.SSx2.p1.1.m1.2.2.2" xref="S2.SSx2.p1.1.m1.2.2.2.cmml"><msubsup id="S2.SSx2.p1.1.m1.2.2.2.4" xref="S2.SSx2.p1.1.m1.2.2.2.4.cmml"><mtext id="S2.SSx2.p1.1.m1.2.2.2.4.2.2" xref="S2.SSx2.p1.1.m1.2.2.2.4.2.2a.cmml">QBER</mtext><mtext id="S2.SSx2.p1.1.m1.2.2.2.4.3" xref="S2.SSx2.p1.1.m1.2.2.2.4.3a.cmml">Bob</mtext><mtext id="S2.SSx2.p1.1.m1.2.2.2.4.2.3" xref="S2.SSx2.p1.1.m1.2.2.2.4.2.3a.cmml">H</mtext></msubsup><mo id="S2.SSx2.p1.1.m1.2.2.2.3" xref="S2.SSx2.p1.1.m1.2.2.2.3.cmml">⁢</mo><mrow id="S2.SSx2.p1.1.m1.2.2.2.2.2" xref="S2.SSx2.p1.1.m1.2.2.2.2.3.cmml"><mo stretchy="false" id="S2.SSx2.p1.1.m1.2.2.2.2.2.3" xref="S2.SSx2.p1.1.m1.2.2.2.2.3.cmml">(</mo><mrow id="S2.SSx2.p1.1.m1.1.1.1.1.1.1" xref="S2.SSx2.p1.1.m1.1.1.1.1.1.1.cmml"><mi mathvariant="normal" id="S2.SSx2.p1.1.m1.1.1.1.1.1.1.2" xref="S2.SSx2.p1.1.m1.1.1.1.1.1.1.2.cmml">Δ</mi><mo id="S2.SSx2.p1.1.m1.1.1.1.1.1.1.1" xref="S2.SSx2.p1.1.m1.1.1.1.1.1.1.1.cmml">⁢</mo><mi id="S2.SSx2.p1.1.m1.1.1.1.1.1.1.3" xref="S2.SSx2.p1.1.m1.1.1.1.1.1.1.3.cmml">t</mi></mrow><mo id="S2.SSx2.p1.1.m1.2.2.2.2.2.4" xref="S2.SSx2.p1.1.m1.2.2.2.2.3.cmml">,</mo><msub id="S2.SSx2.p1.1.m1.2.2.2.2.2.2" xref="S2.SSx2.p1.1.m1.2.2.2.2.2.2.cmml"><mi id="S2.SSx2.p1.1.m1.2.2.2.2.2.2.2" xref="S2.SSx2.p1.1.m1.2.2.2.2.2.2.2.cmml">t</mi><mtext id="S2.SSx2.p1.1.m1.2.2.2.2.2.2.3" xref="S2.SSx2.p1.1.m1.2.2.2.2.2.2.3a.cmml">c</mtext></msub><mo stretchy="false" id="S2.SSx2.p1.1.m1.2.2.2.2.2.5" xref="S2.SSx2.p1.1.m1.2.2.2.2.3.cmml">)</mo></mrow></mrow><mo id="S2.SSx2.p1.1.m1.3.3.4" xref="S2.SSx2.p1.1.m1.3.3.4.cmml">=</mo><mrow id="S2.SSx2.p1.1.m1.3.3.3" xref="S2.SSx2.p1.1.m1.3.3.3.cmml"><msub id="S2.SSx2.p1.1.m1.3.3.3.3" xref="S2.SSx2.p1.1.m1.3.3.3.3.cmml"><mi id="S2.SSx2.p1.1.m1.3.3.3.3.2" xref="S2.SSx2.p1.1.m1.3.3.3.3.2.cmml">N</mi><mtext id="S2.SSx2.p1.1.m1.3.3.3.3.3" xref="S2.SSx2.p1.1.m1.3.3.3.3.3a.cmml">V</mtext></msub><mo id="S2.SSx2.p1.1.m1.3.3.3.2" xref="S2.SSx2.p1.1.m1.3.3.3.2.cmml">/</mo><mrow id="S2.SSx2.p1.1.m1.3.3.3.1.1" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.cmml"><mo stretchy="false" id="S2.SSx2.p1.1.m1.3.3.3.1.1.2" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.cmml">(</mo><mrow id="S2.SSx2.p1.1.m1.3.3.3.1.1.1" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.cmml"><msub id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2.cmml"><mi id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2.2" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2.2.cmml">N</mi><mtext id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2.3" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.2.3a.cmml">H</mtext></msub><mo id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.1" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.1.cmml">+</mo><msub id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3.cmml"><mi id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3.2" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3.2.cmml">N</mi><mtext id="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3.3" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.3.3a.cmml">V</mtext></msub></mrow><mo stretchy="false" id="S2.SSx2.p1.1.m1.3.3.3.1.1.3" xref="S2.SSx2.p1.1.m1.3.3.3.1.1.1.cmml">)</mo></mrow></mrow></mrow></math>, <math><mrow id="S2.F2.11.m4.2.3" xref="S2.F2.11.m4.2.3.cmml"><msup id="S2.F2.11.m4.2.3.2" xref="S2.F2.11.m4.2.3.2.cmml"><mi id="S2.F2.11.m4.2.3.2.2" xref="S2.F2.11.m4.2.3.2.2.cmml">g</mi><mrow id="S2.F2.11.m4.1.1.1.3" xref="S2.F2.11.m4.2.3.2.cmml"><mo stretchy="false" id="S2.F2.11.m4.1.1.1.3.1" xref="S2.F2.11.m4.2.3.2.cmml">(</mo><mn id="S2.F2.11.m4.1.1.1.1" xref="S2.F2.11.m4.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S2.F2.11.m4.1.1.1.3.2" xref="S2.F2.11.m4.2.3.2.cmml">)</mo></mrow></msup><mo id="S2.F2.11.m4.2.3.1" xref="S2.F2.11.m4.2.3.1.cmml">⁢</mo><mrow id="S2.F2.11.m4.2.3.3.2" xref="S2.F2.11.m4.2.3.cmml"><mo stretchy="false" id="S2.F2.11.m4.2.3.3.2.1" xref="S2.F2.11.m4.2.3.cmml">(</mo><mn id="S2.F2.11.m4.2.2" xref="S2.F2.11.m4.2.2.cmml">0</mn><mo stretchy="false" id="S2.F2.11.m4.2.3.3.2.2" xref="S2.F2.11.m4.2.3.cmml">)</mo></mrow></mrow></math>, <math><mrow id="S2.F2.12.m5.2.3" xref="S2.F2.12.m5.2.3.cmml"><msup id="S2.F2.12.m5.2.3.2" xref="S2.F2.12.m5.2.3.2.cmml"><mi id="S2.F2.12.m5.2.3.2.2" xref="S2.F2.12.m5.2.3.2.2.cmml">g</mi><mrow id="S2.F2.12.m5.1.1.1.3" xref="S2.F2.12.m5.2.3.2.cmml"><mo stretchy="false" id="S2.F2.12.m5.1.1.1.3.1" xref="S2.F2.12.m5.2.3.2.cmml">(</mo><mn id="S2.F2.12.m5.1.1.1.1" xref="S2.F2.12.m5.1.1.1.1.cmml">2</mn><mo stretchy="false" id="S2.F2.12.m5.1.1.1.3.2" xref="S2.F2.12.m5.2.3.2.cmml">)</mo></mrow></msup><mo id="S2.F2.12.m5.2.3.1" xref="S2.F2.12.m5.2.3.1.cmml">⁢</mo><mrow id="S2.F2.12.m5.2.3.3.2" xref="S2.F2.12.m5.2.3.cmml"><mo stretchy="false" id="S2.F2.12.m5.2.3.3.2.1" xref="S2.F2.12.m5.2.3.cmml">(</mo><mi id="S2.F2.12.m5.2.2" xref="S2.F2.12.m5.2.2.cmml">τ</mi><mo stretchy="false" id="S2.F2.12.m5.2.3.3.2.2" xref="S2.F2.12.m5.2.3.cmml">)</mo></mrow></mrow></math>

Correct Categorie: quant-ph

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/1209.2797

Formulas:

1-

n = 4 - 2 ϵ

2-

𝒪 (α_{s})

3-

σ^{LO} [pb]

4-

σ^{NLO} [pb]

5-

p p \to \tilde{q} \tilde{q}

6-

\tilde{q} {\tilde{q}}^{*}

7-

p p \to \tilde{χ} \tilde{χ}, \tilde{l} {\tilde{l}}^{*}

8-

p p \to \tilde{q} \tilde{χ^{0}}

9-

S U {(3)}_{C}

10-

p p \to G G^{*}

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

Paper: https://arxiv.org/abs/0912.2117

Formulas:

1-

{YBa}_{2} {Cu}_{3} O_{7 - δ}

2-

V_{n} = V_{n}^{'} - i V_{n}^{''}

3-

{YBa}_{2} {Cu}_{3} O_{7 - δ}

4-

J_{c} (T)

5-

J_{c} (T)

6-

J_{c} \propto {(1 - T / T_{c})}^{n}

7-

J_{c} (T)

8-

{YBa}_{2} {Cu}_{3} O_{7 - δ}

9-

V_{n} = V_{n}^{'} - i V_{n}^{''}

10-

n = 1, 3, 5 \dots

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/1104.5193

Formulas:

1-

E = \pm ℏ ω_{c} \sqrt{N}

2-

ω_{c} = v_{F} \sqrt{2 e B / ℏ}

3-

N = 0, \pm 1, \pm 2, \dots .

4-

σ_{x y} = \frac{4 e^{2}}{h} (N + 1 / 2)

5-

e V = μ_{R} - μ_{L}

6-

(ϵ_{r} = 3.9)

7-

w / l_{B} \approx 9.5

8-

l_{B} = \sqrt{ℏ / e B}

9-

H = H_{↑} + H_{↓}

10-

H_{σ} = - \sum_{𝐫, Δ} t_{𝐫, 𝐫 + Δ} a_{𝐫 σ}^{+} a_{𝐫 + Δ, σ} + g μ_{b} B σ \sum_{𝐫} a_{𝐫 σ}^{+} a_{𝐫 σ}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/cond-mat/0102463

Formulas:

1-

p (2 \times 2)

2-

c (4 \times 2)

3-

c (4 \times 2)

4-

c (4 \times 2)

5-

c (4 \times 2)

6-

p (2 \times 2)

7-

c (4 \times 2)

8-

Ψ = \sum_{n} d_{n} D_{n}^{↑} D_{n}^{↓} \prod_{α i j} J (r_{i j}, r_{i α}, r_{j α}) .

9-

Δ E = E_{sym} - E_{buck}

10-

Δ E = E_{sym} - E_{buck}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/astro-ph/0402061

Formulas:

1-

\sim 6 \times 10^{54} {(R / 75)}^{2} (L / 300)

2-

0.8 ° \times 1.0 °

3-

12 ″ \times 7 ″

4-

4 ″ \times 3 ″

5-

L \equiv \sqrt{Q^{2} + U^{2}}

6-

α_{6 / 18} \sim - 1

7-

α_{18 / 90} \sim - 0.1

8-

σ_{Q, U} = 20

9-

α_{6 / 18} \sim - 0.1

10-

S_{ν} \propto N_{0} V B^{- α + 1} ν^{α}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/1411.1987

Formulas:

1-

P 1 / P 0

2-

d t = P 1 / (1 - 1.25 * P 1 / P 0)

3-

P 0_{m o d}^{a}

4-

P 1_{m o d}

5-

{< V >}_{i n t}

6-

P - {< V >}_{i n t}

7-

P_{1 O} = 0.335

8-

m_{F336W} - m_{F555W} > 0.3 - 0.4

9-

M = 0.63 - 0.70 M_{☉}

10-

M = 0.55 - 0.63 M_{☉}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/0803.3597

Formulas:

1-

ϵ_{0} (E + χ^{(1)} E + \sum_{m > 1} χ^{(m)} E^{m}),

2-

- Min [\frac{2 c \sqrt{n_{0}^{2} + \sum_{q > 1} q χ^{(q)} E^{q - 1}}}{\sum_{m > 1} m χ^{(m)} \frac{d E^{m - 1}}{d t}}] .

3-

E = E_{0} \sin (ω t + ϕ_{1}) sech (0.28 ω t / τ)

4-

χ^{(n)} E^{n - 1} = 0.02

5-

d E / d t

6-

d E^{3} / d t

7-

d E^{2} / d t

8-

S_{2} \propto Min {| d E / d t |}^{- 1}

9-

E {(ω)}^{2}

10-

S_{3} \propto Min {| d E^{2} / d t |}^{- 1}

Formulas (html):

Correct Categorie: physics

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/quant-ph/0106152

Formulas:

1-

{\hat{W}}_{s} \equiv \hat{W} \otimes \hat{I}

2-

{\hat{W}}_{s} | i ⟩ | j ⟩ \equiv (\hat{W} | i ⟩) | j ⟩

3-

\hat{P} | i ⟩ | j ⟩ \equiv | i ⟩ | (j + P (i)) m o d N ⟩

4-

m o d N

5-

\hat{A} \equiv \hat{P} \cdot {\hat{W}}_{s}

6-

\hat{A} | i ⟩ | j ⟩ = \frac{1}{2^{\frac{n}{2}}} \sum_{k = 0}^{2^{n} - 1} {(- 1)}^{i \oplus k} | k ⟩ | (j + P (k)) m o d N ⟩

7-

{\hat{A}}^{- 1} = {\hat{W}}_{s}^{- 1} \cdot {\hat{P}}^{- 1} = {\hat{W}}_{s} \cdot {\hat{P}}^{- 1}

8-

{\hat{P}}^{- 1} | i ⟩ | j ⟩ \equiv | i ⟩ | (j + N - P (i)) m o d N ⟩

9-

{\hat{A}}^{- 1} | i ⟩ | j ⟩ = \frac{1}{2^{\frac{n}{2}}} (\sum_{k = 0}^{2^{n} - 1} {(- 1)}^{i \oplus k} | k ⟩) | (j + N - P (i)) m o d N ⟩

10-

\hat{A} | 0 ⟩ | 0 ⟩ = \frac{1}{2^{\frac{n}{2}}} \sum_{s = 0}^{2^{n} - 1} | s ⟩ | P (s) ⟩

Formulas (html):

Correct Categorie: quant-ph

Guessed Categorie: quant-ph

Result: correct

Paper: https://arxiv.org/abs/1905.05826

Formulas:

1-

\log (M_{⋆} / M_{⊙}) ≲ 10.5

2-

Δ \log Z_{g} = m Δ \log Σ_{SFR},

3-

Δ \log Z_{g} = \log Z_{g} - \log Z_{g 0},

4-

Δ \log Σ_{SFR} = \log Σ_{SFR} - \log Σ_{SFR0},

5-

Δ Z_{g} = Z_{g} - Z_{g 0}

6-

Δ Σ_{SFR} = Σ_{SFR} - Σ_{SFR0}

7-

| Δ Z_{g} | ≪ Z_{g}

8-

| Δ Σ_{SFR} | ≪ Σ_{SFR}

9-

Δ Z_{g} / Z_{g 0} ≃ m Δ Σ_{SFR} / Σ_{SFR0} .

10-

⟨ Z_{g} ⟩ = {⟨ M_{g} ⟩}^{- 1} \int W Z_{g} Σ_{g} 𝑑 x 𝑑 y,

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/1508.00930

Formulas:

1-

[H H L]

2-

\bar{2} \bar{2} L

3-

g^{2} = {(𝐐 \cdot 𝝃)}^{2} g^{', 2}

4-

g^{'} = (\frac{b_{U} d_{U}}{\sqrt{M}} \pm \frac{b_{X} d_{X}}{\sqrt{m}})

5-

d_{U}^{2} + d_{X}^{2} = 1

6-

| d_{U} M |

7-

| d_{X} m |

8-

g^{'} = \frac{m M}{\sqrt{m^{2} + M^{2}}} (\frac{b_{U}}{M^{3 / 2}} \pm \frac{b_{X}}{m^{3 / 2}})

9-

lim_{M \to \infty} g^{', 2} = \frac{b_{X}^{2}}{m}

10-

b (f m)

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: hep-th

Result: incorrect

Paper: https://arxiv.org/abs/1211.0319

Formulas:

1-

t_{2} - t_{1} = t_{3} - t_{2} = δ t

2-

[t_{1}, t_{2}]

3-

[t_{2}, t_{3}]

4-

v_{1, 2} = \frac{x (t_{2}) - x (t_{1})}{δ t}, v_{2, 3} = \frac{x (t_{3}) - x (t_{2})}{δ t}

5-

v (t_{2}) \approx \frac{v_{1, 2} + v_{2, 3}}{2} = \frac{x (t_{3}) - x (t_{1})}{2 δ t}

6-

\frac{D}{D t} v (t_{2}) \approx \frac{v_{2, 3} - v_{1, 2}}{δ t} = \frac{x (t_{3}) - 2 x (t_{2}) + x (t_{1})}{δ t^{2}}

7-

D / D t = d / d t + v \cdot d / d x

8-

x_{i} ≐ x (t_{i})

9-

v (t, x)

10-

v (t_{2}, \frac{x_{2} + x_{1}}{2}) \approx v_{1, 2}, v (t_{2}, \frac{x_{3} + x_{2}}{2}) \approx v_{2, 3}

Formulas (html):

Correct Categorie: math

Guessed Categorie: nlin

Result: incorrect

Paper: https://arxiv.org/abs/1806.08752

Formulas:

1-

S U {(3)}_{C} \otimes S U {(2)}_{L} \otimes U {(1)}_{Y}

2-

ℒ_{d - d i m} = i ν_{i L}^{†} {\bar{σ}}^{μ} \partial_{μ} ν_{i L} - i^{d - 3} γ_{i}^{j_{1} \dots j_{d - 4}} ν_{i L}^{†} σ^{k} \partial_{k} \partial_{j_{1}} \dots \partial_{j_{d - 4}} ν_{i L},

3-

γ_{i}^{j_{1} \dots j_{d - 4}}

4-

σ^{0} E ν_{i L} = (σ^{k} p_{k} + γ_{i}^{j_{1} \dots j_{d - 4}} σ^{k} p_{k} p_{j 1} \dots p_{j (d - 4)}) ν_{i L} .

5-

(\begin{matrix} E & 0 \\ 0 & E \end{matrix}) ν_{i L} = (1 + \bar{γ}) (\begin{matrix} p_{3} & p_{1} - i p_{2} \\ p_{1} + i p_{2} & - p_{3} \end{matrix}) ν_{i L},

6-

\bar{γ} = (γ_{i}^{j_{1} \dots j_{d - 4}} p_{j 1} \dots p_{j (d - 4)})

7-

E^{2} = {(1 + \bar{γ})}^{2} 𝐩^{2} .

8-

E^{2} = {(1 + \bar{γ})}^{2} 𝐩^{2} + m^{2},

9-

E \approx \frac{m_{i}^{2}}{2 p} + (1 + γ_{i}^{(d)} p^{d - 4}) p .

10-

H \to H_{0} + H_{LIV},

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

Paper: https://arxiv.org/abs/astro-ph/0107594

Formulas:

1-

H_{o} = 100 h km s^{- 1} {Mpc}^{- 1}

2-

δ > + 35 °

3-

| b | > 10 °

4-

{\bar{α}}_{5 - 15} > - 0.4

5-

m = 100 \times P / I

6-

P = {(Q^{2} + U^{2})}^{1 / 2}

7-

L_{x r a y}

8-

L_{x r a y}

9-

{(Q^{2} + U^{2})}^{1 / 2}

10-

m_{o p t} \sim > 1 %

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/nucl-th/9804058

Formulas:

1-

ρ \approx 3 - 5 ρ_{0}

2-

T_{c} \approx 150 \pm 10

3-

ρ_{B} = ρ_{0} = 0.16

4-

e x p (- E / T)

5-

e x p (- p^{2} / 2 m T)

6-

T_{H} = 130 \pm 10

7-

N_{i} = \frac{g_{i} V}{{(2 π ℏ)}^{3}} \int_{0}^{\infty} \frac{4 π p^{2} d p}{e x p [(E_{i} - B_{i} μ_{B} - S_{i} μ_{S}) / T] \pm 1} .

8-

ρ_{i} (m)

9-

N_{i} = \frac{g_{i} V}{{(2 π ℏ)}^{3}} \int ρ_{i} (m) 𝑑 m \int_{0}^{\infty} \frac{4 π p^{2} d p}{e x p [(E_{i} (m) - B_{i} μ_{B} - S_{i} μ_{S}) / T] \pm 1},

10-

ρ_{i} (m)

Formulas (html):

Correct Categorie: nucl-th

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/0904.2331

Formulas:

1-

S p i t z e r

2-

_{o b s c u r e d}

3-

_{o b s c u r e d}

4-

S p i t z e r

5-

S p i t z e r

6-

S p i t z e r

7-

S p i t z e r

8-

S p i t z e r

9-

S p i t z e r

10-

S p i t z e r

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: cs

Result: incorrect

Paper: https://arxiv.org/abs/1407.4091

Formulas:

1-

t \in [0, 1]

2-

C_{1} (t)

3-

C_{2} (t)

4-

C : [0, 1] \to ℝ^{d}

5-

| {t \in [0, 1] : C (t) \in H} | \leq d

6-

{(t, t^{2}, \dots, t^{d}) : t \in [0, 1]},

7-

C (0) = C (1)

8-

| {t \in [0, 1) : C (t) \in H} | \leq d

9-

{(\cos (2 π t), \sin (2 π t), \cos (4 π t), \sin (4 π t), \dots, \cos (2 d π t), \sin (2 d π t)) : 0 \leq t \leq 1} .

10-

0 \leq t_{0} < t_{1} < \dots < t_{d} \leq 1

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/0710.3281

Formulas:

1-

\sin θ_{12} = 1 / \sqrt{3} = \sin θ_{⊙}

2-

\sin θ_{23} = 1 / \sqrt{2} = \sin θ_{atm}

3-

\bar{ν_{e}} \to \bar{ν_{μ}}

4-

μ^{\pm} \to e^{\pm} + ν_{e} (\bar{ν_{e}}) + ν_{μ} (\bar{ν_{μ}})

5-

{(\frac{d^{3} N}{d t d A d E_{ν}})}_{l a b}^{ν_{μ}} = \frac{4 g_{l a b} J^{2}}{π L^{2} E_{μ}^{3}} E_{ν_{μ}}^{2} (3 - 4 \frac{E_{ν_{μ}}}{E_{μ}})

6-

{(\frac{d^{3} N}{d t d A d E_{ν}})}_{l a b}^{{\bar{ν}}_{e}} = \frac{28 g_{l a b} J^{2}}{π L^{2} E_{μ}^{4}} E_{{\bar{ν}}_{e}}^{2} (E_{μ} - 2 E_{{\bar{ν}}_{e}})

7-

g_{l a b}

8-

J = \frac{1}{γ (1 - β \cos θ)}

9-

β = p_{μ} / E_{μ}

10-

g_{l a b} = 0.35 \times 10^{20}

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

Paper: https://arxiv.org/abs/1506.07847

Formulas:

1-

2^{n - 5} / n^{2}

2-

\frac{c q^{n}}{n {(\log_{q} n)}^{2}}

3-

2^{n - 5} / n^{2}

4-

\frac{c q^{n}}{n {(\log_{q} n)}^{2}}

5-

P = a_{1} a_{2} \dots a_{p}

6-

a_{1} a_{2} \dots a_{p} b_{1} b_{2} \dots b_{N - p}

7-

a_{2} \dots a_{p} b_{1} \dots b_{N - p} a_{1} \dots a_{p - 1}

8-

a_{1} a_{2} \dots a_{p}

9-

a_{1} a_{2} \dots a_{p} b_{1} \dots b_{N - p} a_{1} a_{2} \dots a_{p}

10-

G (N) = G_{P} (N)

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/astro-ph/0011515

Formulas:

1-

V / I = - 0.5 %

2-

V / I = - 0.3 %

3-

m_{C} \propto ν^{- 0.5}

4-

m_{C} = V / I

5-

m_{C} \propto ν^{- 0.9}

6-

m_{C} ≃ \frac{Δ x}{r_{s c i n t}} m_{I},

7-

r_{s c i n t}

8-

Δ x ≃ \frac{L λ^{3}}{2 π} ▽_{r} R M,

9-

Δ x / L > θ_{s}

10-

| m_{C} | \approx 1 / γ

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/astro-ph/0701908

Formulas:

1-

𝐁 (t) \approx B_{x} \hat{x} + B_{y} \hat{y}

2-

𝐁_{0} = B_{0, z} \hat{z}

3-

\sum_{ω_{n}} \exp (- i ω_{n} t) 𝐁_{ω_{n}}, ω_{n} = \frac{2 π}{Δ t} n,

4-

\frac{1}{Δ t} \int_{0}^{Δ t} \exp (i ω_{n} t) 𝐁 (t) d t, n = 0, \pm 1, \pm 2, \dots

5-

⟨ B^{2} (t) ⟩ = \frac{1}{Δ t} \int_{0}^{Δ t} B^{2} (t) d t = \sum_{ω_{n}} {| B_{ω_{n}} |}^{2} = \int Φ (f) d f .

6-

\frac{1}{f_{2} - f_{1}} \sum_{ω_{n}} {| B_{ω_{n}} |}^{2}, ω_{n} \in (ω_{1}, ω_{2}),

7-

ω / 2 π, (f_{2} - f_{1}) Δ t ≫ 1

8-

w = \frac{B^{2} (t)}{2 μ_{0}}, S = \frac{V_{A}}{2 μ_{0}} \int Φ (f) d f .

9-

f \in (0, \infty)

10-

ω_{A} τ_{A} = 1,

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/math/0409466

Formulas:

1-

σ (K_{m} - P_{k}, n)

2-

σ (S) \geq σ (K_{m} - P_{k}, n)

3-

σ (K_{m} - P_{k}, n) \geq (2 m - 6) n - (m - 3) (m - 2) + 2,

4-

n \geq m \geq k + 1 \geq 4 .

5-

n \geq m \geq k + 1 \geq 4 .

6-

m = k + 1 = 5

7-

m = k + 2 = 5

8-

S = (d_{1}, d_{2}, \dots, d_{n})

9-

d (v_{1}),

10-

d (v_{2}),

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/0908.0300

Formulas:

1-

ψ (𝐫, t)

2-

\bar{ψ} (𝐫, t)

3-

n (𝐫, t)

4-

x (𝐫, t) := \sqrt{n (𝐫, t)} e^{i ϕ (𝐫, t)}

5-

ϕ (𝐫, t)

6-

\dot{x} (𝐫, t) - D \nabla^{2} x = - γ \frac{\partial F}{\partial x} + ζ (𝐫, t) .

7-

\nabla \equiv \partial / \partial 𝐫

8-

ζ (𝐫, t)

9-

⟨ ζ (𝐫, t) ⟩ = 0, ⟨ ζ (𝐫, t) ζ (𝟎, 0) ⟩ = γ T δ (𝐫) δ (t)

10-

t_{s} \equiv {(γ T)}^{2} / D^{3}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/0808.3468

Formulas:

1-

i \frac{\partial ψ}{\partial t} = - Δ ψ + (x^{2} + y^{2} + Ω^{2} z^{2}) ψ - σ {| ψ |}^{2} ψ,

2-

N = \int {| ψ |}^{2} 𝑑 𝐫

3-

M_{z} = Im \int {[ψ^{*} (𝐫 \times \nabla_{⟂} ψ)]}_{z} 𝑑 𝐫

4-

E = \int {{| \nabla ψ |}^{2} + (x^{2} + y^{2} + Ω^{2} z^{2}) {| ψ |}^{2} - \frac{σ}{2} {| ψ |}^{4}} 𝑑 𝐫 .

5-

(r, z, φ)

6-

ψ (r, z, φ, t) = Φ (r, z, φ - ω t) \exp (- i μ t),

7-

\frac{\partial^{2} Φ}{\partial r^{2}} + \frac{1}{r} \frac{\partial Φ}{\partial r} + \frac{1}{r^{2}} \frac{\partial^{2} Φ}{\partial θ^{2}} - i ω \frac{\partial Φ}{\partial θ} + μ Φ

8-

- (r^{2} + Ω^{2} z^{2}) Φ + σ {| Φ |}^{2} Φ = 0,

9-

θ = φ - ω t

10-

S = E - μ N - ω M_{z}

Formulas (html):

Correct Categorie: nlin

Guessed Categorie: physics

Result: incorrect

Paper: https://arxiv.org/abs/0805.3988

Formulas:

1-

H = - t_{d} \sum_{< i j >} d_{i}^{+} d_{j} - t_{f} \sum_{< i j >} f_{i}^{+} f_{j} + U \sum_{i} f_{i}^{+} f_{i} d_{i}^{+} d_{i},

2-

n_{d} = \frac{1}{L} \sum_{i} d_{i}^{+} d_{i}

3-

n_{f} = \frac{1}{L} \sum_{i} f_{i}^{+} f_{i}

4-

(t_{d} = 1)

5-

\frac{L!}{(L - N_{d})! N_{d}!}

6-

\frac{L!}{(L - N_{f})! N_{f}!}

7-

H_{F K M} = - t_{d} \sum_{< i j >} d_{i}^{+} d_{j} + U \sum_{i} f_{i}^{+} f_{i} d_{i}^{+} d_{i} .

8-

f_{i}^{+} f_{i}

9-

ℋ_{ℱ 𝒦 ℳ} = \sum_{i j} h_{i j} d_{i}^{+} d_{j},

10-

h_{i j} (w) = - t_{d}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/1506.05180

Formulas:

1-

J, F_{1}, F = (5 / 2, 3, 4) - (3 / 2, 2, 3)

2-

(5 / 2, 3, 3) - (3 / 2, 2, 2)

3-

(5 / 2, 3, 2) - (3 / 2, 2, 1)

4-

J, F = (5 / 2, 3) - (3 / 2, 2)

5-

(5 / 2, 2) - (3 / 2, 1)

6-

J, F_{1}, F = (3 / 2, 1, 1) - (1 / 2, 0, 1)

7-

J, F = (3 / 2, 2) - (1 / 2, 1)

8-

r m s \times Δ v \times \sqrt{N}

9-

r m s =

10-

\frac{N_{2} H^{+}}{{}^{15}{NNH}^{+}}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: math

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0601289

Formulas:

1-

e^{-} / A D U

2-

σ_{f t / f c}

3-

σ_{f t / f c}

4-

σ_{f_{t} / f_{c}}

5-

σ_{f t / f c}

6-

σ_{f_{t} / f_{c}}

7-

σ_{f t / f c}

8-

σ_{f t / f c}

9-

σ_{f t / f c}

10-

σ_{f t / f c}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: cs

Result: incorrect

Paper: https://arxiv.org/abs/1905.12241

Formulas:

1-

γ_{e} (G)

2-

γ_{e} (G)

3-

V (G) ∖ V (M)

4-

γ_{e} (G)

5-

γ_{e} (G)

6-

γ_{e} (G)

7-

\frac{2 Δ - 1}{4 Δ} n + \frac{1}{2}

8-

K_{Δ, Δ} - e

9-

γ_{e} (G)

10-

\frac{5}{12} n + \frac{1}{2} .

Formulas (html):

Correct Categorie: math

Guessed Categorie: astro-ph

Result: incorrect

Paper: https://arxiv.org/abs/1204.4060

Formulas:

1-

E_{θ} = - \partial_{θ} ϕ = 0

2-

v_{r} = E_{θ} / B = 0

3-

k_{∥} \approx k_{⟂} \approx 0

4-

\frac{ι}{2 π} (a) = 1.65

5-

\frac{ι}{2 π} (0) = 1.55

6-

M = U Σ V^{†},

7-

U U^{†} = V V^{†} = I

8-

(σ_{1} \geq σ_{2} \geq \dots)

9-

{𝐮^{α}}_{α = 1 \dots m}

10-

{𝐯^{α}}_{α = 1 \dots n}

Formulas (html):

Correct Categorie: physics

Guessed Categorie: cond-mat

Result: incorrect

Paper: https://arxiv.org/abs/math/9906074

Formulas:

1-

S \cap \partial M = \partial S

2-

E (S, M rel \partial S)

3-

D i f f (S rel \partial S)

4-

E (S, M rel \partial S)

5-

P (S, M rel \partial S)

6-

P (S, M rel \partial S)

7-

D i f f (S rel \partial S) ⟶ E (S, M rel \partial S) ⟶ P (S, M rel \partial S)

8-

π_{i} D i f f (S rel \partial S)

9-

T^{2} ↪ D i f f (T^{2})

10-

E (S, M rel \partial S)

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/1702.01731

Formulas:

1-

B K (x, y, k)

2-

B K (x, y, k) = \frac{\sum_{i = b i - b m}^{b i} B L (x, y, i, k)}{b m}, k = {R, G, B} .

3-

J_{F} = [\begin{matrix} \int_{Ω} {\frac{\partial^{2} I}{\partial x \partial t}}^{2} 𝑑 y & \int_{Ω} \frac{\partial^{2} I}{\partial x \partial t} \frac{\partial^{2} I}{\partial y \partial t} 𝑑 y & \int_{Ω} \frac{\partial^{2} I}{\partial x \partial t} \frac{\partial^{2} I}{\partial t^{2}} 𝑑 y \\ \int_{Ω} \frac{\partial^{2} I}{\partial y \partial t} \frac{\partial^{2} I}{\partial x \partial t} 𝑑 y & \int_{Ω} {\frac{\partial^{2} I}{\partial y \partial t}}^{2} 𝑑 y & \int_{Ω} \frac{\partial^{2} I}{\partial y \partial t} \frac{\partial^{2} I}{\partial t^{2}} 𝑑 y \\ \int_{Ω} \frac{\partial^{2} I}{\partial t^{2}} \frac{\partial^{2} I}{\partial x \partial t} 𝑑 y & \int_{Ω} \frac{\partial^{2} I}{\partial t^{2}} \frac{\partial^{2} I}{\partial y \partial t} 𝑑 y & \int_{Ω} {\frac{\partial^{2} I}{\partial t^{2}}}^{2} 𝑑 y \end{matrix}] .

4-

t r a c e (J_{F}) = \int_{Ω} {∥ \frac{\partial}{\partial t} ▽ I ∥}^{2} 𝑑 y,

5-

F_{s} = \frac{N_{w}}{W \times H},

6-

b m = {\begin{matrix} 5 & i f F_{s} \geq 0.25 \\ 5 + \frac{F_{s} - 0.02}{0.25 - 0.02} \cdot 85 & i f 0.02 < F_{s} < 0.25 \\ 90 & i f F_{s} \leq 0.02 \end{matrix} .

7-

F_{s} (t) = α \cdot F_{s} (t) + (1 - α) \cdot F_{s} (t - 1)

8-

α = {\begin{matrix} 0.2 & i f F_{s} (t) < F_{s} (t - 1) \\ 0.01 & i f F_{s} (t) > F_{s} (t - 1) \end{matrix}

9-

F_{s} (t)

10-

α = 2.5 * 10^{- 3}

Formulas (html):

Correct Categorie: cs

Guessed Categorie: astro-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/0103267

Formulas:

1-

\frac{G (d)}{G (\infty)} = 1 - \frac{a}{d},

2-

M_{w} / M_{n} = 3.4

3-

d_{d i p}

4-

d_{d i p}

5-

r_{t i p}

6-

l_{g}^{*} = [2 σ_{e} T_{m}^{0} / Δ h_{f} (Δ T)] + δ l

7-

δ l = \frac{k T}{2 b σ} \cdot \frac{(4 σ / a) + Δ f}{(2 σ / a) + Δ f}

8-

σ = 7.65 e r g s / c m^{2}

9-

σ_{e} = 34.8 e r g s / c m^{2}

10-

Δ h_{f} = 9.40 \times 10^{8} e r g s / c m^{3}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: astro-ph

Result: incorrect

Paper: https://arxiv.org/abs/0807.2278

Formulas:

1-

N_{H} \sim 10^{23 - 24}

2-

17^{h} 40^{m} 42^{s} .84

3-

28^{\circ} 18^{'} 08^{''} .5

4-

17^{h} 44^{m} 46^{s} .02

5-

27^{\circ} 47^{'} 32^{''} .7

6-

Γ = {2.8}_{- 2.7}^{+ 5.4}

7-

N_{H} = ({3.4}_{- 2.3}^{+ 4.4}) \times 10^{23}

8-

({7.2}_{- 2.0}^{+ 2.5}) \times 10^{22}

9-

({1.5}_{- 0.4}^{+ 0.5}) \times 10^{23}

10-

({1.17}_{- 0.27}^{+ 0.30}) \times 10^{23}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: astro-ph

Result: correct

Paper: https://arxiv.org/abs/1604.01582

Formulas:

1-

n \geq 2 k + 1

2-

S G (n, k)

3-

ℙ^{n - 2 k}

4-

K G (n, k)

5-

[n] = {1, \dots, n}

6-

K G (n, k)

7-

n - 2 k + 2

8-

S G (n, k)

9-

K G (n, k)

10-

n - 2 k + 2

Formulas (html):

Correct Categorie: math

Guessed Categorie: math

Result: correct

Paper: https://arxiv.org/abs/1405.1706

Formulas:

1-

V_{x}^{T B_m B J} (𝐫) = c V_{x}^{B R} (𝐫) + (3 c - 2) \frac{1}{π} \sqrt{\frac{5}{12}} {[2 t (𝐫) / ρ (𝐫)]}^{1 / 2}

2-

ρ (𝐫) = \sum_{i = 1}^{N} {| ψ_{i} (𝐫) |}^{2}

3-

t (𝐫) = \frac{1}{2} \sum_{i = 1}^{N} [\nabla ψ_{i}^{*} (𝐫) \cdot \nabla ψ_{i} (𝐫)]

4-

V_{x}^{B R} (𝐫) = - \frac{1}{b (𝐫)} [1 - e^{- x (𝐫)} - \frac{1}{2} x (𝐫) e^{- x (𝐫)}]

5-

b = x {[e^{- x} / (8 π ρ)]}^{1 / 3}

6-

c = A + B \sqrt{g}

7-

g = \frac{1}{Ω} \int \frac{1}{2} (\frac{| \nabla ρ_{↑} (𝐫) |}{ρ_{↑} (𝐫)} + \frac{| \nabla ρ_{↓} (𝐫) |}{ρ_{↓} (𝐫)}) d^{3} r

8-

| \nabla ρ / ρ |

9-

c = A + B g^{e}

10-

l_{m a x} = 10

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: cond-mat

Result: correct

Paper: https://arxiv.org/abs/hep-ph/0501049

Formulas:

1-

Δ m_{ν}^{2} \cos 2 θ / 2 E_{ν} = \pm \sqrt{2} G_{F} Y_{e} ρ

2-

Δ m_{21}^{2} \approx 79 {meV}^{2}

3-

| Δ m_{32}^{2} | \approx 2300 {meV}^{2}

4-

e^{-} + p \to n + ν_{e}

5-

L_{ν_{e}} \approx L_{{\bar{ν}}_{e}} \approx L_{ν_{x}}

6-

⟨ E_{ν_{e}} ⟩ ≪ ⟨ E_{{\bar{ν}}_{e}} ⟩ ≪ ⟨ E_{ν_{x}} ⟩

7-

⟨ E_{{\bar{ν}}_{e}} ⟩

8-

⟨ E_{{\bar{ν}}_{x}} ⟩

9-

L_{{\bar{ν}}_{x}} < L_{{\bar{ν}}_{e}}

10-

L_{{\bar{ν}}_{e}} < L_{{\bar{ν}}_{x}}

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

Paper: https://arxiv.org/abs/1406.0406

Formulas:

1-

L_{W t b}

2-

\frac{g}{\sqrt{2}} V_{t b} [W_{μ}^{-} \bar{b} γ^{μ} (f_{1}^{L} P_{L} + f_{1}^{R} P_{R}) t - \frac{1}{m_{W}} \partial_{ν} W_{μ}^{-} \bar{b} σ^{μ ν} (f_{2}^{L} P_{L} + f_{2}^{R} P_{R}) t]

3-

\frac{g}{\sqrt{2}} V_{t b}^{*} [W_{μ}^{+} \bar{t} γ^{μ} ({\bar{f}}_{1}^{L} P_{L} + {\bar{f}}_{1}^{R} P_{R}) b - \frac{1}{m_{W}} \partial_{ν} W_{μ}^{+} \bar{t} σ^{μ ν} ({\bar{f}}_{2}^{L} P_{L} + {\bar{f}}_{2}^{R} P_{R}) b] .

4-

f_{1}^{L} = {\bar{f}}_{1}^{L} = 1

5-

{\bar{f}}_{1}^{R}^{*} = f_{1}^{R}, {\bar{f}}_{1}^{L}^{*} = f_{1}^{L}, {\bar{f}}_{2}^{R}^{*} = f_{2}^{L}, {\bar{f}}_{2}^{L}^{*} = f_{2}^{R} .

6-

m_{b}^{2} \to m_{b}^{2} - i m_{b} Γ_{b}, b = Z, W, h, m_{t} \to \sqrt{m_{t}^{2} - i m_{t} Γ_{t}},

7-

m_{t} \to \sqrt{m_{t}^{2} - i m_{t} Γ_{t}}

8-

m_{t} \to \sqrt{m_{t}^{2} - i m_{t} Γ_{\bar{t}}}

9-

t \bar{t} h

10-

ℒ_{t \bar{t} h} = - g_{t \bar{t} h} \bar{t} (f + i f^{'} γ_{5}) t h .

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

Paper: https://arxiv.org/abs/hep-ph/9904255

Formulas:

1-

x \cdot G (Q^{2}, x)

2-

x = Q^{2} / 2 p \cdot q

3-

Q^{2} = - q^{2}

4-

W^{2} = Q^{2} / x - Q^{2}

5-

W^{2 [1 - α_{I P} (t)]}

6-

α_{I P} (t)

7-

α_{I P} (t) = α_{I P} (0) + α^{'} \cdot t ≃ 1.08 + 0.25 t,

8-

e + p \to e + p + V M

9-

J^{P C} = 1^{- -}

10-

σ_{t o t}

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: hep-ph

Result: correct

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