Run 11332252

Paper: https://arxiv.org/abs/1107.0156

Formulas:

1-

10^{- 17} c m

2-

S U_{R} (2)

3-

S U_{L} (2)

4-

ε \cdot ({\bar{ν}}_{L}, {\bar{e}}^{-}) ν_{R} φ

5-

φ = (φ^{0}, φ^{-})

6-

{(v / v^{'})}^{2}

7-

G_{j} {(v / v^{'})}^{2}

8-

0.511 M e V

9-

5.11 \times 10^{5} e V

10-

(W^{\pm}, Z^{0})

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/0506287

Formulas:

1-

g (ω) / ω^{2}

2-

Ω_{co} / 2 π

3-

ℏ Ω_{co} ≃ 8.8

4-

Δ Q ≃ \pm 0.18

5-

ℏ Ω_{co} \sim 9

6-

ℓ^{- 1} = Γ / v

7-

q = 2 π / λ

8-

ℏ Ω_{co} ≃ 8.8 \pm 0.2

9-

ℏ Ω_{co} ≃ 7.0 \pm 0.2

10-

Γ / Ω \propto Ω^{3}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1109.1757

Formulas:

1-

⟨ β ⟩ ≃ - 2.1

2-

⟨ β ⟩ ≃ - 1.9

3-

≃ - 1.09 M_{⊙} / y r / M p c^{3}

4-

≳ 80 M_{⊙} / y r

5-

L \approx 4 - 5 L_{*}

6-

H_{0} = 70 k m / s / M p c

7-

Z / Z_{⊙} = 0.2

8-

\sim 40 s q . a r c m i n .

9-

a r c s e c^{2}

10-

s q . a r c m i n .

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1709.04920

Formulas:

1-

R_{i} (t)

2-

R_{i} (t)

3-

R_{i} (t + τ) - R_{i} (t)

4-

n (r, τ)

5-

\int_{0}^{T - τ} \sum_{i = 1}^{N} w (R_{i} (t) - r) d t

6-

P (r, τ)

7-

\int_{0}^{T - τ} \sum_{i = 1}^{N} w (R_{i} (t) - r) [R_{i} (t + τ) - R_{i} (t)] d t

8-

Q (r, τ)

9-

\int_{0}^{T - τ} \sum_{i = 1}^{N} w (R_{i} (t) - r) {[R_{i} (t + τ) - R_{i} (t)]}^{2} d t

10-

n (r, τ)

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1312.3783

Formulas:

1-

V_{1} = X \cup R

2-

V_{2} = V ∖ V_{1}

3-

G [V_{2}]

4-

G [V_{1}]

5-

G [V_{1}]

6-

G [V_{1}]

7-

m = 3 f / 2

8-

f / 2 = n - 2

9-

m - f = n - 2

10-

G [B \cup S]

Formulas (html):

Correct Categorie: math

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0410601

Formulas:

1-

16^{h} 32^{m} 22 \overset{s}{.} 6

2-

- 24^{\circ} 28^{'} 33^{''}

3-

4 \overset{''}{.} 7 \times 1 \overset{''}{.} 6

4-

2 \overset{''}{.} 2 \times 0 \overset{''}{.} 9

5-

6_{5, 0} - 5_{5, 0}

6-

6_{4, 0} - 5_{4, 0}

7-

6_{3, 0} - 5_{3, 0}

8-

6_{2, 0} - 5_{2, 0}

9-

6_{1 / 0, 0} - 5_{1 / 0, 0}

10-

20_{2, 19} - 19_{2, 18}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/hep-th/9605114

Formulas:

1-

S = \frac{1}{16 π G} \int \sqrt{- g} (R - 2 Λ - 4 π G F^{2}) d^{3} x - S^{0},

2-

F^{2} \equiv g^{μ ν} g^{ρ σ} F_{μ ρ} F_{ν σ}

3-

G_{μ ν} + Λ g_{μ ν} = 8 π G T_{μ ν},

4-

T_{μ ν} = F_{μ ρ} F_{ν σ} g^{ρ σ} - \frac{1}{4} g_{μ ν} F^{2} .

5-

\partial_{ρ} (\sqrt{- g} g^{μ ν} g^{ρ σ} F_{ν σ}) = 0 .

6-

d s^{2} = - N^{2} d t^{2} + L^{- 2} d r^{2} + K^{2} {(N^{ϕ} d t + d ϕ)}^{2},

7-

E_{\hat{r}} \equiv F_{\hat{t} \hat{r}}

8-

B_{\hat{}} \equiv F_{\hat{r} \hat{ϕ}}

9-

\frac{C_{1} N^{ϕ} + C_{2}}{N},

10-

E_{\hat{r}} = ε B_{\hat{}},

Formulas (html):

Correct Categorie: hep-th

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/hep-ex/0208008

Formulas:

1-

B_{s}^{0} – \bar{B_{s}^{0}}

2-

Δ m_{s} > 14.4

3-

B_{d}^{0} – \bar{B_{d}^{0}}

4-

B_{s}^{0} – \bar{B_{s}^{0}}

5-

\frac{G_{F}^{2}}{6 π^{2}} m_{B_{d}} m_{t}^{2} F (m_{t}^{2} / m_{W}^{2}) f_{B_{d}}^{2} B_{B_{d}}

6-

\times η_{Q C D} {| V_{t b}^{*} V_{t d} |}^{2}

7-

Δ m_{d} = 0.503 \pm 0.006

8-

| V_{t d} |

9-

f_{B_{d}} \sqrt{B_{B_{d}}}

10-

\frac{Δ m_{s}}{Δ m_{d}} = \frac{m_{B_{s}}}{m_{B_{d}}} ξ^{2} {| \frac{V_{t s}}{V_{t d}} |}^{2},

Formulas (html):

Correct Categorie: hep-ex

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/2004.02713

Formulas:

1-

L_{⋆, 250} \propto {(1 + z)}^{1.68}

2-

L_{⋆, TIR} \propto {(1 + z)}^{2.51}

3-

M_{⋆, dust} \propto {(1 + z)}^{0.83}

4-

ε_{250} \propto {(1 + z)}^{1.62}

5-

ε_{TIR} \propto {(1 + z)}^{2.35}

6-

ρ_{dust} \propto {(1 + z)}^{0.80}

7-

L = ν L_{ν}

8-

\begin{matrix} Φ (L) d \log L \\ = Φ^{⋆} {(\frac{L}{L^{⋆}})}^{1 - α} \exp [- \frac{1}{2 σ^{2}} \log^{2} (1 + \frac{L}{L^{⋆}})] d \log L . \end{matrix}

9-

L_{250} = 10^{9} L_{⊙}

10-

L_{250} = 10^{10} L_{⊙}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/0304598

Formulas:

1-

T_{c} (P)

2-

T_{c} (P)

3-

T_{c} (P),

4-

T_{c} (P)

5-

d T_{c} / d P

6-

T_{c} (P)

7-

d T_{c} / d P \approx + 0.9

8-

d T_{c} / d P \approx

9-

T_{c} (P)

10-

T_{c} (P)

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0202274

Formulas:

1-

V_{s p e c t r u m} - V_{a m a t e u r s} = - 0.06; σ = 0.21

2-

V_{s p e c t r u m} - V_{a m a t e u r s} = - 0.05; σ = 0.19

3-

σ_{e s t}

4-

σ_{v a r}

5-

σ_{f l u x}

6-

σ^{2} = {(0.20)}^{2} = σ_{c s}^{2} + σ_{e s t}^{2} + σ_{v a r}^{2} + σ_{f l u x}^{2}

7-

σ_{e s t} \geq

8-

σ_{v a r} \sim

9-

σ_{f l u x} \leq

10-

V_{T}^{s p e c t r a} - V_{T}^{T y c h o} = - 0.06; σ = 0.08

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1901.05491

Formulas:

1-

| α; r ⟩ = \hat{S} (r) \hat{D} (α) | 0 ⟩ = \hat{S} (r) | α ⟩,

2-

\hat{S} (r) = \exp [\frac{r}{2} ({\hat{a}}^{2} - {\hat{a}}^{†^{2}})]

3-

\hat{D} (α)

4-

\hat{a} = \frac{1}{\sqrt{2}} (x + d / d x)

5-

{\hat{a}}^{†} = \frac{1}{\sqrt{2}} (x - d / d x)

6-

| α^{'}; r^{'} ⟩ = \hat{D} (α^{'}) \hat{S} (r^{'}) | 0 ⟩ .

7-

α^{'} = μ α - ν α^{*},

8-

ν = \sinh r .

9-

\hat{X} = \frac{\hat{a} + {\hat{a}}^{†}}{2} = \frac{\hat{x}}{\sqrt{2}}

10-

\hat{Y} = \frac{\hat{a} - {\hat{a}}^{†}}{2 i} = \frac{\hat{p}}{\sqrt{2}},

Formulas (html):

Correct Categorie: physics

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1410.5104

Formulas:

1-

S = - \int d^{4} x \sqrt{- g} [α C^{α β μ ν} C_{α β μ ν} - β (φ^{2} R + 6 \partial_{μ} φ \partial^{μ} φ)] + \int d^{4} x ℒ_{m},

2-

C_{μ β ν}^{α}

3-

R_{μ β ν}^{α} + \frac{1}{2} (δ_{ν}^{α} R_{μ β} - δ_{β}^{α} R_{μ ν} + g_{μ β} R_{ν}^{α} - g_{μ ν} R_{β}^{α})

4-

+ \frac{1}{6} (δ_{β}^{α} g_{μ ν} - δ_{ν}^{α} g_{μ β}) R

5-

R_{μ β ν}^{α}

6-

R_{μ ν} = R_{μ α ν}^{α}

7-

R = g^{μ ν} R_{μ ν}

8-

ℒ_{m} = ℒ_{m} (Ψ, g, φ)

9-

{\tilde{g}}_{μ ν} = e^{2 θ (x)} g_{μ ν},

10-

\tilde{φ} = e^{- θ (x)} φ,

Formulas (html):

Correct Categorie: gr-qc

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1906.12028

Formulas:

1-

B = G (P + 1)

2-

ℬ = {(𝐫_{i}, 𝚠 (𝐫_{i})) | i = 1, 2, \dots, B}

3-

𝚠 (𝐫_{i})

4-

\sum_{i = 1}^{B} 𝚠 (𝐫_{i}) = 1

5-

y \in [1, 2, \dots, C]

6-

𝐛 = \sum_{i = 1}^{B} 𝚠 (𝐫_{i}) \cdot 𝐫_{i} \in ℛ^{d} .

7-

ℒ_{cls} = - \sum_{ℬ \in ℐ} 𝐲^{⊤} \log (f (\sum_{i = 1}^{B} 𝚠 (𝐫_{i}) \cdot 𝐫_{i})),

8-

\bar{𝚠} (𝐫_{i})

9-

𝒦 = {𝐤_{i, j} | i, j = 1, 2, \dots, L}

10-

𝐊 \in ℛ^{d \times L^{2}}

Formulas (html):

Correct Categorie: cs

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1006.3595

Formulas:

1-

d s^{2} = (\frac{2 m (v)}{r} - \frac{e^{2} (v)}{r^{2}}) d v^{2} + 2 d r d v + r^{2} (d x^{2} + d y^{2}) .

2-

- \infty < x, y < \infty

3-

R \times R, - \infty < v < \infty

4-

x^{0} = v, x^{1} = x, x^{2} = y

5-

T_{a b} = ρ ℓ_{a} ℓ_{b} + T_{a b}^{e m},

6-

ρ ℓ_{a} ℓ_{b}

7-

ℓ_{a} = δ_{a}^{0}, ℓ_{a} ℓ^{a} = 0 .

8-

T_{a b}^{e m} = \frac{1}{4 π} [F_{a c} F_{b}^{c} - \frac{1}{4} g_{a b} F_{c d} F^{c d}],

9-

F_{a b} = \frac{e (v)}{r^{2}} (δ_{a}^{0} δ_{b}^{3} - δ_{b}^{0} δ_{a}^{3}) .

10-

G_{a b} = κ T_{a b}

Formulas (html):

Correct Categorie: gr-qc

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/hep-ph/9405257

Formulas:

1-

f (\vec{x})

2-

g_{i} (\vec{x})

3-

i = 1, 2, \dots, n

4-

\int g_{i} (\vec{x}) 𝑑 \vec{x} = 1

5-

\sum_{i = 1}^{n} α_{i} = 1

6-

g (\vec{x}) = \sum_{i = 1}^{n} α_{i} g_{i} (\vec{x})

7-

g_{i} (\vec{x})

8-

w (\vec{x}) = f (\vec{x}) / g (\vec{x})

9-

⟨ w (\vec{x}) ⟩ = \int 𝑑 \vec{x} g (\vec{x}) w (\vec{x}) = \int 𝑑 \vec{x} f (\vec{x}),

10-

⟨ w {(\vec{x})}^{2} ⟩ = \int 𝑑 \vec{x} g (\vec{x}) w {(\vec{x})}^{2} = \int 𝑑 \vec{x} \frac{f {(\vec{x})}^{2}}{g (\vec{x})} .

Formulas (html):

Correct Categorie: hep-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/0802.1449

Formulas:

1-

E (t) = E_{0} f (t)

2-

ω_{B} = E_{0} e a / ℏ

3-

\vec{E} (t) = (E (t), 0, 0)

4-

\vec{B} (t) = (0, 0, B (t))

5-

B (t) = B_{0} g (t)

6-

ℋ = ε_{0} \sum_{m} ∣ m > < m ∣ - e a E_{0} f (t) \sum_{m} m ∣ m > < m ∣ +

7-

{V \sum_{m} \exp (- i γ / 2) | m + 1 > < m | + V \sum_{m} \exp (i γ / 2) | m > < m + 1 |}

8-

γ = γ (t) = 2 π \frac{Φ}{Φ_{0}} = 2 π β_{0} g (t)

9-

Φ = B_{0} a^{2} g (t)

10-

Φ_{0} = h c / e

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/0308166

Formulas:

1-

𝐅 = 𝐑, 𝐂, 𝐇

2-

f_{ℋ} (H) = 𝒞_{H β} \exp [- β \cdot \frac{1}{2} \cdot Tr (H^{2})],

3-

𝒞_{H β} = {(\frac{β}{2 π})}^{𝒩_{H β} / 2},

4-

𝒩_{H β} = N + \frac{1}{2} N (N - 1) β,

5-

\int f_{ℋ} (H) 𝑑 H = 1,

6-

d H = \prod_{i = 1}^{N} \prod_{j \geq i}^{N} \prod_{γ = 0}^{D - 1} d H_{i j}^{(γ)},

7-

H_{i j} = (H_{i j}^{(0)}, \dots, H_{i j}^{(D - 1)}) \in 𝐅,

8-

β = 1, 2, 4,

9-

E_{i}, i = 1, \dots, N

10-

E_{i} = E_{i}^{⋆}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0411117

Formulas:

1-

\sim 10^{9} M_{☉}

2-

M_{s t a r}

3-

0.5 - 1 \times 10^{9} M_{☉}

4-

\sim 10^{9} M_{☉}

5-

\sim 10^{10} M_{☉}

6-

M_{s t a r}

7-

F 850 L P

8-

z_{f o r m}

9-

\propto e^{- t / τ}

10-

λ_{r e s t} = 1216

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1602.03482

Formulas:

1-

ϕ_{\sim} (φ) = ϕ_{t o t} cos (k φ)

2-

ϕ_{\sim} (φ) = ϕ_{t o t} \sum_{k = 1}^{4} \frac{5 - k}{10} cos (k φ + θ_{k}),

3-

ϕ_{t o t}

4-

θ_{1} = θ_{3} = 0

5-

θ_{2} = θ_{4} = π / 2

6-

ϕ_{\sim} (φ)

7-

ϕ_{t o t} = 800

8-

ϕ_{\sim} (φ)

9-

ϕ_{b u l k}

10-

\bar{η} + {\bar{ϕ}}_{\sim} (φ) = ϕ_{s p} (φ) + ϕ_{b u l k} (φ) + ϕ_{s g} (φ) .

Formulas (html):

Correct Categorie: physics

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/gr-qc/0701167

Formulas:

1-

10^{- 5} \leq f / Hz \leq 1

2-

h (t, \vec{x})

3-

H = \frac{π (\vec{y}) p (s | \vec{y}) q (\vec{x} | \vec{y})}{π (\vec{x}) p (s | \vec{x}) q (\vec{y} | \vec{x})} .

4-

π (\vec{x})

5-

p (s | \vec{x})

6-

q (\vec{x} | \vec{y})

7-

α = m i n (1, H)

8-

f_{cut} = {\begin{matrix} 10^{- B (1 - i)} f_{\max} & f < f_{\max} \\ f_{\max} & f \geq f_{\max} \end{matrix},

9-

β = {\begin{matrix} 1.0 & 0 \leq SNR \leq 20 \\ {(\frac{SNR}{20})}^{2} & SNR > 20 \end{matrix},

10-

β = {\begin{matrix} 10^{- ξ (1 - \frac{j}{N_{c}})} & 0 \leq j \leq N_{c} \\ 1 & j > N_{c} \end{matrix},

Formulas (html):

Correct Categorie: gr-qc

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1911.10377

Formulas:

1-

γ \to e^{+} e^{-}

2-

e^{-} \to γ e^{-}

3-

E^{2} ≃ p^{2} c^{2} \times [1 \pm {(\frac{E}{E_{Q G}})}^{n}],

4-

Δ t_{LIV, n} ≃ \pm \frac{n + 1}{2} \frac{E_{h}^{n} - E_{l}^{n}}{E_{Q G}^{n}} κ_{n} (z),

5-

κ_{n} (z) = \int_{0}^{z} \frac{{(1 + z^{'})}^{n}}{H (z^{'})} 𝑑 z^{'}

6-

τ_{n} \equiv \frac{Δ t_{LIV, n}}{E_{h}^{n} - E_{l}^{n}} .

7-

E_{h}^{n} - E_{l}^{n}

8-

Δ t_{m} = Δ t_{LIV} + (1 + z) Δ t_{s} + \sum_{j} Δ t_{j},

9-

τ_{1} = (0.030 \pm 0.012)

10-

τ_{2} = (3.71 \pm 2.57) \times 10^{- 6}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1206.4353

Formulas:

1-

[[x_{1}, x_{2}], [x_{3}, x_{4}, x_{5}], x_{6}]

2-

[x_{1}, x_{2}, x_{2}, x_{2}]

3-

γ_{1} = x_{1}, γ_{k} = [γ_{k - 1}, x_{k}] = [x_{1}, \dots, x_{k}] .

4-

γ_{k} (G)

5-

δ_{0} = x_{1}, δ_{k} = [δ_{k - 1} (x_{1}, \dots, x_{2^{k - 1}}), δ_{k - 1} (x_{2^{k - 1} + 1}, \dots, x_{2^{k}})] .

6-

δ_{k} (G) = G^{(k)}

7-

w = [x, y]

8-

{a, b, c, \dots}

9-

a, b, c, \dots

10-

x^{- 1} x^{a}

Formulas (html):

Correct Categorie: math

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/hep-ph/0508266

Formulas:

1-

S U {(2)}_{L} \times S U {(2)}_{R} \times U {(1)}_{B - L}

2-

A d S_{5}

3-

d s^{2} = {(\frac{R}{z})}^{2} (d x^{2} - d z^{2}) .

4-

R^{'} = (M_{Planck} / M_{electroweak}) R

5-

S U {(2)}_{c}

6-

S U {(2)}_{L} \times S U {(2)}_{R} \times U {(1)}_{B - L}

7-

S U {(2)}_{R} \times U {(1)}_{B - L} \to U {(1)}_{Y}

8-

S U {(2)}_{L} \times S U {(2)}_{R} \to S U {(2)}_{D}

9-

S U {(2)}_{D}

10-

S U (2)

Formulas (html):

<math><mrow id="id1.1.m1.3.4" xref="id1.1.m1.3.4.cmml"><mrow id="id1.1.m1.3.4.2" xref="id1.1.m1.3.4.2.cmml"><mrow id="id1.1.m1.3.4.2.2" xref="id1.1.m1.3.4.2.2.cmml"><mrow id="id1.1.m1.3.4.2.2.2" xref="id1.1.m1.3.4.2.2.2.cmml"><mrow id="id1.1.m1.3.4.2.2.2.2" xref="id1.1.m1.3.4.2.2.2.2.cmml"><mi id="id1.1.m1.3.4.2.2.2.2.2" xref="id1.1.m1.3.4.2.2.2.2.2.cmml">S</mi><mo id="id1.1.m1.3.4.2.2.2.2.1" xref="id1.1.m1.3.4.2.2.2.2.1.cmml">⁢</mo><mi id="id1.1.m1.3.4.2.2.2.2.3" xref="id1.1.m1.3.4.2.2.2.2.3.cmml">U</mi><mo id="id1.1.m1.3.4.2.2.2.2.1a" xref="id1.1.m1.3.4.2.2.2.2.1.cmml">⁢</mo><msub id="id1.1.m1.3.4.2.2.2.2.4" xref="id1.1.m1.3.4.2.2.2.2.4.cmml"><mrow id="id1.1.m1.3.4.2.2.2.2.4.2.2" xref="id1.1.m1.3.4.2.2.2.2.4.cmml"><mo stretchy="false" id="id1.1.m1.3.4.2.2.2.2.4.2.2.1" xref="id1.1.m1.3.4.2.2.2.2.4.cmml">(</mo><mn id="id1.1.m1.1.1" xref="id1.1.m1.1.1.cmml">2</mn><mo stretchy="false" id="id1.1.m1.3.4.2.2.2.2.4.2.2.2" xref="id1.1.m1.3.4.2.2.2.2.4.cmml">)</mo></mrow><mi id="id1.1.m1.3.4.2.2.2.2.4.3" xref="id1.1.m1.3.4.2.2.2.2.4.3.cmml">L</mi></msub></mrow><mo id="id1.1.m1.3.4.2.2.2.1" xref="id1.1.m1.3.4.2.2.2.1.cmml">×</mo><mi id="id1.1.m1.3.4.2.2.2.3" xref="id1.1.m1.3.4.2.2.2.3.cmml">S</mi></mrow><mo id="id1.1.m1.3.4.2.2.1" xref="id1.1.m1.3.4.2.2.1.cmml">⁢</mo><mi id="id1.1.m1.3.4.2.2.3" xref="id1.1.m1.3.4.2.2.3.cmml">U</mi><mo id="id1.1.m1.3.4.2.2.1a" xref="id1.1.m1.3.4.2.2.1.cmml">⁢</mo><msub id="id1.1.m1.3.4.2.2.4" xref="id1.1.m1.3.4.2.2.4.cmml"><mrow id="id1.1.m1.3.4.2.2.4.2.2" xref="id1.1.m1.3.4.2.2.4.cmml"><mo stretchy="false" id="id1.1.m1.3.4.2.2.4.2.2.1" xref="id1.1.m1.3.4.2.2.4.cmml">(</mo><mn id="id1.1.m1.2.2" xref="id1.1.m1.2.2.cmml">2</mn><mo stretchy="false" id="id1.1.m1.3.4.2.2.4.2.2.2" xref="id1.1.m1.3.4.2.2.4.cmml">)</mo></mrow><mi id="id1.1.m1.3.4.2.2.4.3" xref="id1.1.m1.3.4.2.2.4.3.cmml">R</mi></msub></mrow><mo id="id1.1.m1.3.4.2.1" xref="id1.1.m1.3.4.2.1.cmml">×</mo><mi id="id1.1.m1.3.4.2.3" xref="id1.1.m1.3.4.2.3.cmml">U</mi></mrow><mo id="id1.1.m1.3.4.1" xref="id1.1.m1.3.4.1.cmml">⁢</mo><msub id="id1.1.m1.3.4.3" xref="id1.1.m1.3.4.3.cmml"><mrow id="id1.1.m1.3.4.3.2.2" xref="id1.1.m1.3.4.3.cmml"><mo stretchy="false" id="id1.1.m1.3.4.3.2.2.1" xref="id1.1.m1.3.4.3.cmml">(</mo><mn id="id1.1.m1.3.3" xref="id1.1.m1.3.3.cmml">1</mn><mo stretchy="false" id="id1.1.m1.3.4.3.2.2.2" xref="id1.1.m1.3.4.3.cmml">)</mo></mrow><mrow id="id1.1.m1.3.4.3.3" xref="id1.1.m1.3.4.3.3.cmml"><mi id="id1.1.m1.3.4.3.3.2" xref="id1.1.m1.3.4.3.3.2.cmml">B</mi><mo id="id1.1.m1.3.4.3.3.1" xref="id1.1.m1.3.4.3.3.1.cmml">-</mo><mi id="id1.1.m1.3.4.3.3.3" xref="id1.1.m1.3.4.3.3.3.cmml">L</mi></mrow></msub></mrow></math>, <math><mrow id="S1.p1.2.m2.1.1" xref="S1.p1.2.m2.1.1.cmml"><mi id="S1.p1.2.m2.1.1.2" xref="S1.p1.2.m2.1.1.2.cmml">A</mi><mo id="S1.p1.2.m2.1.1.1" xref="S1.p1.2.m2.1.1.1.cmml">⁢</mo><mi id="S1.p1.2.m2.1.1.3" xref="S1.p1.2.m2.1.1.3.cmml">d</mi><mo id="S1.p1.2.m2.1.1.1a" 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id="S1.E1.m1.2.2.1.1.1.3.2.2" xref="S1.E1.m1.1.1.cmml"><mo id="S1.E1.m1.2.2.1.1.1.3.2.2.1" xref="S1.E1.m1.1.1.cmml">(</mo><mfrac id="S1.E1.m1.1.1" xref="S1.E1.m1.1.1.cmml"><mi id="S1.E1.m1.1.1.2" xref="S1.E1.m1.1.1.2.cmml">R</mi><mi id="S1.E1.m1.1.1.3" xref="S1.E1.m1.1.1.3.cmml">z</mi></mfrac><mo id="S1.E1.m1.2.2.1.1.1.3.2.2.2" xref="S1.E1.m1.1.1.cmml">)</mo></mrow><mn id="S1.E1.m1.2.2.1.1.1.3.3" xref="S1.E1.m1.2.2.1.1.1.3.3.cmml">2</mn></msup><mo id="S1.E1.m1.2.2.1.1.1.2" xref="S1.E1.m1.2.2.1.1.1.2.cmml">⁢</mo><mrow id="S1.E1.m1.2.2.1.1.1.1.1" xref="S1.E1.m1.2.2.1.1.1.1.1.1.cmml"><mo stretchy="false" id="S1.E1.m1.2.2.1.1.1.1.1.2" xref="S1.E1.m1.2.2.1.1.1.1.1.1.cmml">(</mo><mrow id="S1.E1.m1.2.2.1.1.1.1.1.1" xref="S1.E1.m1.2.2.1.1.1.1.1.1.cmml"><mrow id="S1.E1.m1.2.2.1.1.1.1.1.1.2" xref="S1.E1.m1.2.2.1.1.1.1.1.1.2.cmml"><mi id="S1.E1.m1.2.2.1.1.1.1.1.1.2.2" xref="S1.E1.m1.2.2.1.1.1.1.1.1.2.2.cmml">d</mi><mo id="S1.E1.m1.2.2.1.1.1.1.1.1.2.1" 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id="S1.p1.9.m7.1.1.1.1.1.1.1" xref="S1.p1.9.m7.1.1.1.1.1.1.1.cmml">/</mo><msub id="S1.p1.9.m7.1.1.1.1.1.1.3" xref="S1.p1.9.m7.1.1.1.1.1.1.3.cmml"><mi id="S1.p1.9.m7.1.1.1.1.1.1.3.2" xref="S1.p1.9.m7.1.1.1.1.1.1.3.2.cmml">M</mi><mi id="S1.p1.9.m7.1.1.1.1.1.1.3.3" xref="S1.p1.9.m7.1.1.1.1.1.1.3.3.cmml">electroweak</mi></msub></mrow><mo stretchy="false" id="S1.p1.9.m7.1.1.1.1.1.3" xref="S1.p1.9.m7.1.1.1.1.1.1.cmml">)</mo></mrow><mo id="S1.p1.9.m7.1.1.1.2" xref="S1.p1.9.m7.1.1.1.2.cmml">⁢</mo><mi id="S1.p1.9.m7.1.1.1.3" xref="S1.p1.9.m7.1.1.1.3.cmml">R</mi></mrow></mrow></math>, <math><mrow id="S1.p2.1.m1.1.2" xref="S1.p2.1.m1.1.2.cmml"><mi id="S1.p2.1.m1.1.2.2" xref="S1.p2.1.m1.1.2.2.cmml">S</mi><mo id="S1.p2.1.m1.1.2.1" xref="S1.p2.1.m1.1.2.1.cmml">⁢</mo><mi id="S1.p2.1.m1.1.2.3" xref="S1.p2.1.m1.1.2.3.cmml">U</mi><mo id="S1.p2.1.m1.1.2.1a" xref="S1.p2.1.m1.1.2.1.cmml">⁢</mo><msub id="S1.p2.1.m1.1.2.4" xref="S1.p2.1.m1.1.2.4.cmml"><mrow id="S1.p2.1.m1.1.2.4.2.2" xref="S1.p2.1.m1.1.2.4.cmml"><mo stretchy="false" id="S1.p2.1.m1.1.2.4.2.2.1" xref="S1.p2.1.m1.1.2.4.cmml">(</mo><mn id="S1.p2.1.m1.1.1" xref="S1.p2.1.m1.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.1.m1.1.2.4.2.2.2" xref="S1.p2.1.m1.1.2.4.cmml">)</mo></mrow><mi id="S1.p2.1.m1.1.2.4.3" xref="S1.p2.1.m1.1.2.4.3.cmml">c</mi></msub></mrow></math>, <math><mrow id="S1.p2.2.m2.3.4" xref="S1.p2.2.m2.3.4.cmml"><mrow id="S1.p2.2.m2.3.4.2" xref="S1.p2.2.m2.3.4.2.cmml"><mrow id="S1.p2.2.m2.3.4.2.2" xref="S1.p2.2.m2.3.4.2.2.cmml"><mrow id="S1.p2.2.m2.3.4.2.2.2" xref="S1.p2.2.m2.3.4.2.2.2.cmml"><mrow id="S1.p2.2.m2.3.4.2.2.2.2" xref="S1.p2.2.m2.3.4.2.2.2.2.cmml"><mi id="S1.p2.2.m2.3.4.2.2.2.2.2" xref="S1.p2.2.m2.3.4.2.2.2.2.2.cmml">S</mi><mo id="S1.p2.2.m2.3.4.2.2.2.2.1" xref="S1.p2.2.m2.3.4.2.2.2.2.1.cmml">⁢</mo><mi id="S1.p2.2.m2.3.4.2.2.2.2.3" xref="S1.p2.2.m2.3.4.2.2.2.2.3.cmml">U</mi><mo id="S1.p2.2.m2.3.4.2.2.2.2.1a" xref="S1.p2.2.m2.3.4.2.2.2.2.1.cmml">⁢</mo><msub id="S1.p2.2.m2.3.4.2.2.2.2.4" xref="S1.p2.2.m2.3.4.2.2.2.2.4.cmml"><mrow id="S1.p2.2.m2.3.4.2.2.2.2.4.2.2" xref="S1.p2.2.m2.3.4.2.2.2.2.4.cmml"><mo stretchy="false" id="S1.p2.2.m2.3.4.2.2.2.2.4.2.2.1" xref="S1.p2.2.m2.3.4.2.2.2.2.4.cmml">(</mo><mn id="S1.p2.2.m2.1.1" xref="S1.p2.2.m2.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.2.m2.3.4.2.2.2.2.4.2.2.2" xref="S1.p2.2.m2.3.4.2.2.2.2.4.cmml">)</mo></mrow><mi id="S1.p2.2.m2.3.4.2.2.2.2.4.3" xref="S1.p2.2.m2.3.4.2.2.2.2.4.3.cmml">L</mi></msub></mrow><mo id="S1.p2.2.m2.3.4.2.2.2.1" xref="S1.p2.2.m2.3.4.2.2.2.1.cmml">×</mo><mi id="S1.p2.2.m2.3.4.2.2.2.3" xref="S1.p2.2.m2.3.4.2.2.2.3.cmml">S</mi></mrow><mo id="S1.p2.2.m2.3.4.2.2.1" xref="S1.p2.2.m2.3.4.2.2.1.cmml">⁢</mo><mi id="S1.p2.2.m2.3.4.2.2.3" xref="S1.p2.2.m2.3.4.2.2.3.cmml">U</mi><mo id="S1.p2.2.m2.3.4.2.2.1a" xref="S1.p2.2.m2.3.4.2.2.1.cmml">⁢</mo><msub id="S1.p2.2.m2.3.4.2.2.4" xref="S1.p2.2.m2.3.4.2.2.4.cmml"><mrow id="S1.p2.2.m2.3.4.2.2.4.2.2" xref="S1.p2.2.m2.3.4.2.2.4.cmml"><mo stretchy="false" id="S1.p2.2.m2.3.4.2.2.4.2.2.1" xref="S1.p2.2.m2.3.4.2.2.4.cmml">(</mo><mn id="S1.p2.2.m2.2.2" xref="S1.p2.2.m2.2.2.cmml">2</mn><mo stretchy="false" id="S1.p2.2.m2.3.4.2.2.4.2.2.2" xref="S1.p2.2.m2.3.4.2.2.4.cmml">)</mo></mrow><mi id="S1.p2.2.m2.3.4.2.2.4.3" xref="S1.p2.2.m2.3.4.2.2.4.3.cmml">R</mi></msub></mrow><mo id="S1.p2.2.m2.3.4.2.1" xref="S1.p2.2.m2.3.4.2.1.cmml">×</mo><mi id="S1.p2.2.m2.3.4.2.3" xref="S1.p2.2.m2.3.4.2.3.cmml">U</mi></mrow><mo id="S1.p2.2.m2.3.4.1" xref="S1.p2.2.m2.3.4.1.cmml">⁢</mo><msub id="S1.p2.2.m2.3.4.3" xref="S1.p2.2.m2.3.4.3.cmml"><mrow id="S1.p2.2.m2.3.4.3.2.2" xref="S1.p2.2.m2.3.4.3.cmml"><mo stretchy="false" id="S1.p2.2.m2.3.4.3.2.2.1" xref="S1.p2.2.m2.3.4.3.cmml">(</mo><mn id="S1.p2.2.m2.3.3" xref="S1.p2.2.m2.3.3.cmml">1</mn><mo stretchy="false" id="S1.p2.2.m2.3.4.3.2.2.2" xref="S1.p2.2.m2.3.4.3.cmml">)</mo></mrow><mrow id="S1.p2.2.m2.3.4.3.3" xref="S1.p2.2.m2.3.4.3.3.cmml"><mi id="S1.p2.2.m2.3.4.3.3.2" xref="S1.p2.2.m2.3.4.3.3.2.cmml">B</mi><mo id="S1.p2.2.m2.3.4.3.3.1" xref="S1.p2.2.m2.3.4.3.3.1.cmml">-</mo><mi id="S1.p2.2.m2.3.4.3.3.3" xref="S1.p2.2.m2.3.4.3.3.3.cmml">L</mi></mrow></msub></mrow></math>, <math><mrow id="S1.p2.3.m3.3.4" xref="S1.p2.3.m3.3.4.cmml"><mrow id="S1.p2.3.m3.3.4.2" xref="S1.p2.3.m3.3.4.2.cmml"><mrow id="S1.p2.3.m3.3.4.2.2" xref="S1.p2.3.m3.3.4.2.2.cmml"><mrow id="S1.p2.3.m3.3.4.2.2.2" xref="S1.p2.3.m3.3.4.2.2.2.cmml"><mi id="S1.p2.3.m3.3.4.2.2.2.2" xref="S1.p2.3.m3.3.4.2.2.2.2.cmml">S</mi><mo id="S1.p2.3.m3.3.4.2.2.2.1" xref="S1.p2.3.m3.3.4.2.2.2.1.cmml">⁢</mo><mi id="S1.p2.3.m3.3.4.2.2.2.3" xref="S1.p2.3.m3.3.4.2.2.2.3.cmml">U</mi><mo id="S1.p2.3.m3.3.4.2.2.2.1a" xref="S1.p2.3.m3.3.4.2.2.2.1.cmml">⁢</mo><msub id="S1.p2.3.m3.3.4.2.2.2.4" xref="S1.p2.3.m3.3.4.2.2.2.4.cmml"><mrow id="S1.p2.3.m3.3.4.2.2.2.4.2.2" xref="S1.p2.3.m3.3.4.2.2.2.4.cmml"><mo stretchy="false" id="S1.p2.3.m3.3.4.2.2.2.4.2.2.1" xref="S1.p2.3.m3.3.4.2.2.2.4.cmml">(</mo><mn id="S1.p2.3.m3.1.1" xref="S1.p2.3.m3.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.3.m3.3.4.2.2.2.4.2.2.2" xref="S1.p2.3.m3.3.4.2.2.2.4.cmml">)</mo></mrow><mi id="S1.p2.3.m3.3.4.2.2.2.4.3" xref="S1.p2.3.m3.3.4.2.2.2.4.3.cmml">R</mi></msub></mrow><mo id="S1.p2.3.m3.3.4.2.2.1" xref="S1.p2.3.m3.3.4.2.2.1.cmml">×</mo><mi id="S1.p2.3.m3.3.4.2.2.3" xref="S1.p2.3.m3.3.4.2.2.3.cmml">U</mi></mrow><mo id="S1.p2.3.m3.3.4.2.1" xref="S1.p2.3.m3.3.4.2.1.cmml">⁢</mo><msub id="S1.p2.3.m3.3.4.2.3" xref="S1.p2.3.m3.3.4.2.3.cmml"><mrow id="S1.p2.3.m3.3.4.2.3.2.2" xref="S1.p2.3.m3.3.4.2.3.cmml"><mo stretchy="false" id="S1.p2.3.m3.3.4.2.3.2.2.1" xref="S1.p2.3.m3.3.4.2.3.cmml">(</mo><mn id="S1.p2.3.m3.2.2" xref="S1.p2.3.m3.2.2.cmml">1</mn><mo stretchy="false" id="S1.p2.3.m3.3.4.2.3.2.2.2" xref="S1.p2.3.m3.3.4.2.3.cmml">)</mo></mrow><mrow id="S1.p2.3.m3.3.4.2.3.3" xref="S1.p2.3.m3.3.4.2.3.3.cmml"><mi id="S1.p2.3.m3.3.4.2.3.3.2" xref="S1.p2.3.m3.3.4.2.3.3.2.cmml">B</mi><mo id="S1.p2.3.m3.3.4.2.3.3.1" xref="S1.p2.3.m3.3.4.2.3.3.1.cmml">-</mo><mi id="S1.p2.3.m3.3.4.2.3.3.3" xref="S1.p2.3.m3.3.4.2.3.3.3.cmml">L</mi></mrow></msub></mrow><mo id="S1.p2.3.m3.3.4.1" xref="S1.p2.3.m3.3.4.1.cmml">→</mo><mrow id="S1.p2.3.m3.3.4.3" xref="S1.p2.3.m3.3.4.3.cmml"><mi id="S1.p2.3.m3.3.4.3.2" xref="S1.p2.3.m3.3.4.3.2.cmml">U</mi><mo id="S1.p2.3.m3.3.4.3.1" xref="S1.p2.3.m3.3.4.3.1.cmml">⁢</mo><msub id="S1.p2.3.m3.3.4.3.3" xref="S1.p2.3.m3.3.4.3.3.cmml"><mrow id="S1.p2.3.m3.3.4.3.3.2.2" xref="S1.p2.3.m3.3.4.3.3.cmml"><mo stretchy="false" id="S1.p2.3.m3.3.4.3.3.2.2.1" xref="S1.p2.3.m3.3.4.3.3.cmml">(</mo><mn id="S1.p2.3.m3.3.3" xref="S1.p2.3.m3.3.3.cmml">1</mn><mo stretchy="false" id="S1.p2.3.m3.3.4.3.3.2.2.2" xref="S1.p2.3.m3.3.4.3.3.cmml">)</mo></mrow><mi id="S1.p2.3.m3.3.4.3.3.3" xref="S1.p2.3.m3.3.4.3.3.3.cmml">Y</mi></msub></mrow></mrow></math>, <math><mrow id="S1.p2.4.m4.3.4" xref="S1.p2.4.m4.3.4.cmml"><mrow id="S1.p2.4.m4.3.4.2" xref="S1.p2.4.m4.3.4.2.cmml"><mrow id="S1.p2.4.m4.3.4.2.2" xref="S1.p2.4.m4.3.4.2.2.cmml"><mrow id="S1.p2.4.m4.3.4.2.2.2" xref="S1.p2.4.m4.3.4.2.2.2.cmml"><mi id="S1.p2.4.m4.3.4.2.2.2.2" xref="S1.p2.4.m4.3.4.2.2.2.2.cmml">S</mi><mo id="S1.p2.4.m4.3.4.2.2.2.1" xref="S1.p2.4.m4.3.4.2.2.2.1.cmml">⁢</mo><mi id="S1.p2.4.m4.3.4.2.2.2.3" xref="S1.p2.4.m4.3.4.2.2.2.3.cmml">U</mi><mo id="S1.p2.4.m4.3.4.2.2.2.1a" xref="S1.p2.4.m4.3.4.2.2.2.1.cmml">⁢</mo><msub id="S1.p2.4.m4.3.4.2.2.2.4" xref="S1.p2.4.m4.3.4.2.2.2.4.cmml"><mrow id="S1.p2.4.m4.3.4.2.2.2.4.2.2" xref="S1.p2.4.m4.3.4.2.2.2.4.cmml"><mo stretchy="false" id="S1.p2.4.m4.3.4.2.2.2.4.2.2.1" xref="S1.p2.4.m4.3.4.2.2.2.4.cmml">(</mo><mn id="S1.p2.4.m4.1.1" xref="S1.p2.4.m4.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.4.m4.3.4.2.2.2.4.2.2.2" xref="S1.p2.4.m4.3.4.2.2.2.4.cmml">)</mo></mrow><mi id="S1.p2.4.m4.3.4.2.2.2.4.3" xref="S1.p2.4.m4.3.4.2.2.2.4.3.cmml">L</mi></msub></mrow><mo id="S1.p2.4.m4.3.4.2.2.1" xref="S1.p2.4.m4.3.4.2.2.1.cmml">×</mo><mi id="S1.p2.4.m4.3.4.2.2.3" xref="S1.p2.4.m4.3.4.2.2.3.cmml">S</mi></mrow><mo id="S1.p2.4.m4.3.4.2.1" xref="S1.p2.4.m4.3.4.2.1.cmml">⁢</mo><mi id="S1.p2.4.m4.3.4.2.3" xref="S1.p2.4.m4.3.4.2.3.cmml">U</mi><mo id="S1.p2.4.m4.3.4.2.1a" xref="S1.p2.4.m4.3.4.2.1.cmml">⁢</mo><msub id="S1.p2.4.m4.3.4.2.4" xref="S1.p2.4.m4.3.4.2.4.cmml"><mrow id="S1.p2.4.m4.3.4.2.4.2.2" xref="S1.p2.4.m4.3.4.2.4.cmml"><mo stretchy="false" id="S1.p2.4.m4.3.4.2.4.2.2.1" xref="S1.p2.4.m4.3.4.2.4.cmml">(</mo><mn id="S1.p2.4.m4.2.2" xref="S1.p2.4.m4.2.2.cmml">2</mn><mo stretchy="false" id="S1.p2.4.m4.3.4.2.4.2.2.2" xref="S1.p2.4.m4.3.4.2.4.cmml">)</mo></mrow><mi id="S1.p2.4.m4.3.4.2.4.3" xref="S1.p2.4.m4.3.4.2.4.3.cmml">R</mi></msub></mrow><mo id="S1.p2.4.m4.3.4.1" xref="S1.p2.4.m4.3.4.1.cmml">→</mo><mrow id="S1.p2.4.m4.3.4.3" xref="S1.p2.4.m4.3.4.3.cmml"><mi id="S1.p2.4.m4.3.4.3.2" xref="S1.p2.4.m4.3.4.3.2.cmml">S</mi><mo id="S1.p2.4.m4.3.4.3.1" xref="S1.p2.4.m4.3.4.3.1.cmml">⁢</mo><mi id="S1.p2.4.m4.3.4.3.3" xref="S1.p2.4.m4.3.4.3.3.cmml">U</mi><mo id="S1.p2.4.m4.3.4.3.1a" xref="S1.p2.4.m4.3.4.3.1.cmml">⁢</mo><msub id="S1.p2.4.m4.3.4.3.4" xref="S1.p2.4.m4.3.4.3.4.cmml"><mrow id="S1.p2.4.m4.3.4.3.4.2.2" xref="S1.p2.4.m4.3.4.3.4.cmml"><mo stretchy="false" id="S1.p2.4.m4.3.4.3.4.2.2.1" xref="S1.p2.4.m4.3.4.3.4.cmml">(</mo><mn id="S1.p2.4.m4.3.3" xref="S1.p2.4.m4.3.3.cmml">2</mn><mo stretchy="false" id="S1.p2.4.m4.3.4.3.4.2.2.2" xref="S1.p2.4.m4.3.4.3.4.cmml">)</mo></mrow><mi id="S1.p2.4.m4.3.4.3.4.3" xref="S1.p2.4.m4.3.4.3.4.3.cmml">D</mi></msub></mrow></mrow></math>, <math><mrow id="S1.p2.5.m5.1.2" xref="S1.p2.5.m5.1.2.cmml"><mi id="S1.p2.5.m5.1.2.2" xref="S1.p2.5.m5.1.2.2.cmml">S</mi><mo id="S1.p2.5.m5.1.2.1" xref="S1.p2.5.m5.1.2.1.cmml">⁢</mo><mi id="S1.p2.5.m5.1.2.3" xref="S1.p2.5.m5.1.2.3.cmml">U</mi><mo id="S1.p2.5.m5.1.2.1a" xref="S1.p2.5.m5.1.2.1.cmml">⁢</mo><msub id="S1.p2.5.m5.1.2.4" xref="S1.p2.5.m5.1.2.4.cmml"><mrow id="S1.p2.5.m5.1.2.4.2.2" xref="S1.p2.5.m5.1.2.4.cmml"><mo stretchy="false" id="S1.p2.5.m5.1.2.4.2.2.1" xref="S1.p2.5.m5.1.2.4.cmml">(</mo><mn id="S1.p2.5.m5.1.1" xref="S1.p2.5.m5.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.5.m5.1.2.4.2.2.2" xref="S1.p2.5.m5.1.2.4.cmml">)</mo></mrow><mi id="S1.p2.5.m5.1.2.4.3" xref="S1.p2.5.m5.1.2.4.3.cmml">D</mi></msub></mrow></math>, <math><mrow id="S1.p2.6.m6.1.2" xref="S1.p2.6.m6.1.2.cmml"><mi id="S1.p2.6.m6.1.2.2" xref="S1.p2.6.m6.1.2.2.cmml">S</mi><mo id="S1.p2.6.m6.1.2.1" xref="S1.p2.6.m6.1.2.1.cmml">⁢</mo><mi id="S1.p2.6.m6.1.2.3" xref="S1.p2.6.m6.1.2.3.cmml">U</mi><mo id="S1.p2.6.m6.1.2.1a" xref="S1.p2.6.m6.1.2.1.cmml">⁢</mo><mrow id="S1.p2.6.m6.1.2.4.2" xref="S1.p2.6.m6.1.2.cmml"><mo stretchy="false" id="S1.p2.6.m6.1.2.4.2.1" xref="S1.p2.6.m6.1.2.cmml">(</mo><mn id="S1.p2.6.m6.1.1" xref="S1.p2.6.m6.1.1.cmml">2</mn><mo stretchy="false" id="S1.p2.6.m6.1.2.4.2.2" xref="S1.p2.6.m6.1.2.cmml">)</mo></mrow></mrow></math>

Correct Categorie: hep-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1602.02175

Formulas:

1-

Poset ({PF}_{n, k})

2-

Poset ({PF}_{n, k})

3-

Poset ({PF}_{k, k})

4-

Poset ({PF}_{n, k})

5-

Poset ({PF}_{r, r}) \times \prod_{i = 1}^{j} {NC}_{m_{i}} or \prod_{i = 1}^{j} {NC}_{m_{i}} .

6-

Poset ({PF}_{n, k})

7-

Poset ({PF}_{n, n})

8-

Poset ({PF}_{n, n})

9-

Poset ({PF}_{n, k})

10-

Poset ({PF}_{n, k})

Formulas (html):

<math><mrow id="Sx1.p2.3.m3.3.3" xref="Sx1.p2.3.m3.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.3.m3.3.3.3" xref="Sx1.p2.3.m3.3.3.3a.cmml">Poset</mtext><mo id="Sx1.p2.3.m3.3.3.2" xref="Sx1.p2.3.m3.3.3.2.cmml">⁢</mo><mrow id="Sx1.p2.3.m3.3.3.1.1" xref="Sx1.p2.3.m3.3.3.1.1.1.cmml"><mo stretchy="false" id="Sx1.p2.3.m3.3.3.1.1.2" xref="Sx1.p2.3.m3.3.3.1.1.1.cmml">(</mo><msub id="Sx1.p2.3.m3.3.3.1.1.1" xref="Sx1.p2.3.m3.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.3.m3.3.3.1.1.1.2" xref="Sx1.p2.3.m3.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.p2.3.m3.2.2.2.4" xref="Sx1.p2.3.m3.2.2.2.3.cmml"><mi id="Sx1.p2.3.m3.1.1.1.1" xref="Sx1.p2.3.m3.1.1.1.1.cmml">n</mi><mo id="Sx1.p2.3.m3.2.2.2.4.1" xref="Sx1.p2.3.m3.2.2.2.3.cmml">,</mo><mi id="Sx1.p2.3.m3.2.2.2.2" xref="Sx1.p2.3.m3.2.2.2.2.cmml">k</mi></mrow></msub><mo stretchy="false" id="Sx1.p2.3.m3.3.3.1.1.3" xref="Sx1.p2.3.m3.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Sx1.p2.5.m5.3.3" xref="Sx1.p2.5.m5.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.5.m5.3.3.3" xref="Sx1.p2.5.m5.3.3.3a.cmml">Poset</mtext><mo id="Sx1.p2.5.m5.3.3.2" xref="Sx1.p2.5.m5.3.3.2.cmml">⁢</mo><mrow id="Sx1.p2.5.m5.3.3.1.1" xref="Sx1.p2.5.m5.3.3.1.1.1.cmml"><mo stretchy="false" id="Sx1.p2.5.m5.3.3.1.1.2" xref="Sx1.p2.5.m5.3.3.1.1.1.cmml">(</mo><msub id="Sx1.p2.5.m5.3.3.1.1.1" xref="Sx1.p2.5.m5.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.5.m5.3.3.1.1.1.2" xref="Sx1.p2.5.m5.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.p2.5.m5.2.2.2.4" xref="Sx1.p2.5.m5.2.2.2.3.cmml"><mi id="Sx1.p2.5.m5.1.1.1.1" xref="Sx1.p2.5.m5.1.1.1.1.cmml">n</mi><mo id="Sx1.p2.5.m5.2.2.2.4.1" xref="Sx1.p2.5.m5.2.2.2.3.cmml">,</mo><mi id="Sx1.p2.5.m5.2.2.2.2" xref="Sx1.p2.5.m5.2.2.2.2.cmml">k</mi></mrow></msub><mo stretchy="false" id="Sx1.p2.5.m5.3.3.1.1.3" xref="Sx1.p2.5.m5.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Sx1.p2.6.m6.3.3" xref="Sx1.p2.6.m6.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.6.m6.3.3.3" xref="Sx1.p2.6.m6.3.3.3a.cmml">Poset</mtext><mo id="Sx1.p2.6.m6.3.3.2" xref="Sx1.p2.6.m6.3.3.2.cmml">⁢</mo><mrow id="Sx1.p2.6.m6.3.3.1.1" xref="Sx1.p2.6.m6.3.3.1.1.1.cmml"><mo stretchy="false" id="Sx1.p2.6.m6.3.3.1.1.2" xref="Sx1.p2.6.m6.3.3.1.1.1.cmml">(</mo><msub id="Sx1.p2.6.m6.3.3.1.1.1" xref="Sx1.p2.6.m6.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p2.6.m6.3.3.1.1.1.2" xref="Sx1.p2.6.m6.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.p2.6.m6.2.2.2.4" xref="Sx1.p2.6.m6.2.2.2.3.cmml"><mi id="Sx1.p2.6.m6.1.1.1.1" xref="Sx1.p2.6.m6.1.1.1.1.cmml">k</mi><mo id="Sx1.p2.6.m6.2.2.2.4.1" xref="Sx1.p2.6.m6.2.2.2.3.cmml">,</mo><mi id="Sx1.p2.6.m6.2.2.2.2" xref="Sx1.p2.6.m6.2.2.2.2.cmml">k</mi></mrow></msub><mo stretchy="false" id="Sx1.p2.6.m6.3.3.1.1.3" xref="Sx1.p2.6.m6.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Thmthma1.p1.1.1.m1.3.3" xref="Thmthma1.p1.1.1.m1.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmthma1.p1.1.1.m1.3.3.3" xref="Thmthma1.p1.1.1.m1.3.3.3a.cmml">Poset</mtext><mo mathvariant="italic" id="Thmthma1.p1.1.1.m1.3.3.2" xref="Thmthma1.p1.1.1.m1.3.3.2.cmml">⁢</mo><mrow id="Thmthma1.p1.1.1.m1.3.3.1.1" xref="Thmthma1.p1.1.1.m1.3.3.1.1.1.cmml"><mo mathvariant="normal" stretchy="false" id="Thmthma1.p1.1.1.m1.3.3.1.1.2" xref="Thmthma1.p1.1.1.m1.3.3.1.1.1.cmml">(</mo><msub id="Thmthma1.p1.1.1.m1.3.3.1.1.1" xref="Thmthma1.p1.1.1.m1.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmthma1.p1.1.1.m1.3.3.1.1.1.2" xref="Thmthma1.p1.1.1.m1.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Thmthma1.p1.1.1.m1.2.2.2.4" xref="Thmthma1.p1.1.1.m1.2.2.2.3.cmml"><mi id="Thmthma1.p1.1.1.m1.1.1.1.1" xref="Thmthma1.p1.1.1.m1.1.1.1.1.cmml">n</mi><mo mathvariant="normal" id="Thmthma1.p1.1.1.m1.2.2.2.4.1" xref="Thmthma1.p1.1.1.m1.2.2.2.3.cmml">,</mo><mi id="Thmthma1.p1.1.1.m1.2.2.2.2" xref="Thmthma1.p1.1.1.m1.2.2.2.2.cmml">k</mi></mrow></msub><mo mathvariant="normal" stretchy="false" id="Thmthma1.p1.1.1.m1.3.3.1.1.3" xref="Thmthma1.p1.1.1.m1.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Sx1.Ex1.m1.3.3.1" xref="Sx1.Ex1.m1.3.3.1.1.cmml"><mrow id="Sx1.Ex1.m1.3.3.1.1" xref="Sx1.Ex1.m1.3.3.1.1.cmml"><mrow id="Sx1.Ex1.m1.3.3.1.1.1" xref="Sx1.Ex1.m1.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.Ex1.m1.3.3.1.1.1.3" xref="Sx1.Ex1.m1.3.3.1.1.1.3a.cmml">Poset</mtext><mo id="Sx1.Ex1.m1.3.3.1.1.1.2" xref="Sx1.Ex1.m1.3.3.1.1.1.2.cmml">⁢</mo><mrow id="Sx1.Ex1.m1.3.3.1.1.1.1.1" xref="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.cmml"><mo stretchy="false" id="Sx1.Ex1.m1.3.3.1.1.1.1.1.2" xref="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.cmml">(</mo><msub id="Sx1.Ex1.m1.3.3.1.1.1.1.1.1" xref="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.2" xref="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.Ex1.m1.2.2.2.4" xref="Sx1.Ex1.m1.2.2.2.3.cmml"><mi id="Sx1.Ex1.m1.1.1.1.1" xref="Sx1.Ex1.m1.1.1.1.1.cmml">r</mi><mo id="Sx1.Ex1.m1.2.2.2.4.1" xref="Sx1.Ex1.m1.2.2.2.3.cmml">,</mo><mi id="Sx1.Ex1.m1.2.2.2.2" xref="Sx1.Ex1.m1.2.2.2.2.cmml">r</mi></mrow></msub><mo stretchy="false" id="Sx1.Ex1.m1.3.3.1.1.1.1.1.3" xref="Sx1.Ex1.m1.3.3.1.1.1.1.1.1.cmml">)</mo></mrow></mrow><mo id="Sx1.Ex1.m1.3.3.1.1.2" xref="Sx1.Ex1.m1.3.3.1.1.2.cmml">×</mo><mrow id="Sx1.Ex1.m1.3.3.1.1.3" xref="Sx1.Ex1.m1.3.3.1.1.3.cmml"><munderover id="Sx1.Ex1.m1.3.3.1.1.3.1" xref="Sx1.Ex1.m1.3.3.1.1.3.1.cmml"><mo largeop="true" movablelimits="false" symmetric="true" id="Sx1.Ex1.m1.3.3.1.1.3.1.2.2" xref="Sx1.Ex1.m1.3.3.1.1.3.1.2.2.cmml">∏</mo><mrow id="Sx1.Ex1.m1.3.3.1.1.3.1.2.3" xref="Sx1.Ex1.m1.3.3.1.1.3.1.2.3.cmml"><mi id="Sx1.Ex1.m1.3.3.1.1.3.1.2.3.2" xref="Sx1.Ex1.m1.3.3.1.1.3.1.2.3.2.cmml">i</mi><mo id="Sx1.Ex1.m1.3.3.1.1.3.1.2.3.1" 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mathvariant="normal" id="Thmthma2.p1.1.m1.3.3.1.1.1.2" xref="Thmthma2.p1.1.m1.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Thmthma2.p1.1.m1.2.2.2.4" xref="Thmthma2.p1.1.m1.2.2.2.3.cmml"><mi id="Thmthma2.p1.1.m1.1.1.1.1" xref="Thmthma2.p1.1.m1.1.1.1.1.cmml">n</mi><mo id="Thmthma2.p1.1.m1.2.2.2.4.1" xref="Thmthma2.p1.1.m1.2.2.2.3.cmml">,</mo><mi id="Thmthma2.p1.1.m1.2.2.2.2" xref="Thmthma2.p1.1.m1.2.2.2.2.cmml">k</mi></mrow></msub><mo stretchy="false" id="Thmthma2.p1.1.m1.3.3.1.1.3" xref="Thmthma2.p1.1.m1.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Sx1.p5.1.m1.3.3" xref="Sx1.p5.1.m1.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p5.1.m1.3.3.3" xref="Sx1.p5.1.m1.3.3.3a.cmml">Poset</mtext><mo id="Sx1.p5.1.m1.3.3.2" xref="Sx1.p5.1.m1.3.3.2.cmml">⁢</mo><mrow id="Sx1.p5.1.m1.3.3.1.1" xref="Sx1.p5.1.m1.3.3.1.1.1.cmml"><mo stretchy="false" id="Sx1.p5.1.m1.3.3.1.1.2" xref="Sx1.p5.1.m1.3.3.1.1.1.cmml">(</mo><msub id="Sx1.p5.1.m1.3.3.1.1.1" xref="Sx1.p5.1.m1.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p5.1.m1.3.3.1.1.1.2" xref="Sx1.p5.1.m1.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.p5.1.m1.2.2.2.4" xref="Sx1.p5.1.m1.2.2.2.3.cmml"><mi id="Sx1.p5.1.m1.1.1.1.1" xref="Sx1.p5.1.m1.1.1.1.1.cmml">n</mi><mo id="Sx1.p5.1.m1.2.2.2.4.1" xref="Sx1.p5.1.m1.2.2.2.3.cmml">,</mo><mi id="Sx1.p5.1.m1.2.2.2.2" xref="Sx1.p5.1.m1.2.2.2.2.cmml">n</mi></mrow></msub><mo stretchy="false" id="Sx1.p5.1.m1.3.3.1.1.3" xref="Sx1.p5.1.m1.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Sx1.p5.2.m2.3.3" xref="Sx1.p5.2.m2.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p5.2.m2.3.3.3" xref="Sx1.p5.2.m2.3.3.3a.cmml">Poset</mtext><mo id="Sx1.p5.2.m2.3.3.2" xref="Sx1.p5.2.m2.3.3.2.cmml">⁢</mo><mrow id="Sx1.p5.2.m2.3.3.1.1" xref="Sx1.p5.2.m2.3.3.1.1.1.cmml"><mo stretchy="false" id="Sx1.p5.2.m2.3.3.1.1.2" xref="Sx1.p5.2.m2.3.3.1.1.1.cmml">(</mo><msub id="Sx1.p5.2.m2.3.3.1.1.1" xref="Sx1.p5.2.m2.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Sx1.p5.2.m2.3.3.1.1.1.2" xref="Sx1.p5.2.m2.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Sx1.p5.2.m2.2.2.2.4" xref="Sx1.p5.2.m2.2.2.2.3.cmml"><mi id="Sx1.p5.2.m2.1.1.1.1" xref="Sx1.p5.2.m2.1.1.1.1.cmml">n</mi><mo id="Sx1.p5.2.m2.2.2.2.4.1" xref="Sx1.p5.2.m2.2.2.2.3.cmml">,</mo><mi id="Sx1.p5.2.m2.2.2.2.2" xref="Sx1.p5.2.m2.2.2.2.2.cmml">n</mi></mrow></msub><mo stretchy="false" id="Sx1.p5.2.m2.3.3.1.1.3" xref="Sx1.p5.2.m2.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Thmthma3.p1.1.1.m1.3.3" xref="Thmthma3.p1.1.1.m1.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmthma3.p1.1.1.m1.3.3.3" xref="Thmthma3.p1.1.1.m1.3.3.3a.cmml">Poset</mtext><mo mathvariant="italic" id="Thmthma3.p1.1.1.m1.3.3.2" xref="Thmthma3.p1.1.1.m1.3.3.2.cmml">⁢</mo><mrow id="Thmthma3.p1.1.1.m1.3.3.1.1" xref="Thmthma3.p1.1.1.m1.3.3.1.1.1.cmml"><mo mathvariant="normal" stretchy="false" id="Thmthma3.p1.1.1.m1.3.3.1.1.2" xref="Thmthma3.p1.1.1.m1.3.3.1.1.1.cmml">(</mo><msub id="Thmthma3.p1.1.1.m1.3.3.1.1.1" xref="Thmthma3.p1.1.1.m1.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmthma3.p1.1.1.m1.3.3.1.1.1.2" xref="Thmthma3.p1.1.1.m1.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Thmthma3.p1.1.1.m1.2.2.2.4" xref="Thmthma3.p1.1.1.m1.2.2.2.3.cmml"><mi id="Thmthma3.p1.1.1.m1.1.1.1.1" xref="Thmthma3.p1.1.1.m1.1.1.1.1.cmml">n</mi><mo mathvariant="normal" id="Thmthma3.p1.1.1.m1.2.2.2.4.1" xref="Thmthma3.p1.1.1.m1.2.2.2.3.cmml">,</mo><mi id="Thmthma3.p1.1.1.m1.2.2.2.2" xref="Thmthma3.p1.1.1.m1.2.2.2.2.cmml">k</mi></mrow></msub><mo mathvariant="normal" stretchy="false" id="Thmthma3.p1.1.1.m1.3.3.1.1.3" xref="Thmthma3.p1.1.1.m1.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>, <math><mrow id="Thmconjx1.p1.1.1.m1.3.3" xref="Thmconjx1.p1.1.1.m1.3.3.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmconjx1.p1.1.1.m1.3.3.3" xref="Thmconjx1.p1.1.1.m1.3.3.3a.cmml">Poset</mtext><mo mathvariant="italic" id="Thmconjx1.p1.1.1.m1.3.3.2" xref="Thmconjx1.p1.1.1.m1.3.3.2.cmml">⁢</mo><mrow id="Thmconjx1.p1.1.1.m1.3.3.1.1" xref="Thmconjx1.p1.1.1.m1.3.3.1.1.1.cmml"><mo mathvariant="normal" stretchy="false" id="Thmconjx1.p1.1.1.m1.3.3.1.1.2" xref="Thmconjx1.p1.1.1.m1.3.3.1.1.1.cmml">(</mo><msub id="Thmconjx1.p1.1.1.m1.3.3.1.1.1" xref="Thmconjx1.p1.1.1.m1.3.3.1.1.1.cmml"><mtext class="ltx_font_smallcaps" mathvariant="normal" id="Thmconjx1.p1.1.1.m1.3.3.1.1.1.2" xref="Thmconjx1.p1.1.1.m1.3.3.1.1.1.2a.cmml">PF</mtext><mrow id="Thmconjx1.p1.1.1.m1.2.2.2.4" xref="Thmconjx1.p1.1.1.m1.2.2.2.3.cmml"><mi id="Thmconjx1.p1.1.1.m1.1.1.1.1" xref="Thmconjx1.p1.1.1.m1.1.1.1.1.cmml">n</mi><mo mathvariant="normal" id="Thmconjx1.p1.1.1.m1.2.2.2.4.1" xref="Thmconjx1.p1.1.1.m1.2.2.2.3.cmml">,</mo><mi id="Thmconjx1.p1.1.1.m1.2.2.2.2" xref="Thmconjx1.p1.1.1.m1.2.2.2.2.cmml">k</mi></mrow></msub><mo mathvariant="normal" stretchy="false" id="Thmconjx1.p1.1.1.m1.3.3.1.1.3" xref="Thmconjx1.p1.1.1.m1.3.3.1.1.1.cmml">)</mo></mrow></mrow></math>

Correct Categorie: math

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1502.04374

Formulas:

1-

S / k_{B} = 4

2-

Z = 0.02 Z_{☉}

3-

n_{a m b}

4-

n_{a m b}

5-

t_{ch} = 1770 E_{51}^{- 1 / 2} {(\frac{M_{ej}}{M_{☉}})}^{3 / 2} {\dot{M}}_{w, 5}^{- 1} v_{w, 6} yr,

6-

{\dot{M}}^{- 1 / (n - s)}

7-

R_{b} \propto {[\frac{A g^{n}}{q}]}^{1 / (n - s)} t^{\frac{n - 3}{n - s}},

8-

\dot{M} / 4 π v_{w}

9-

q^{'} = χ q

10-

R_{b}^{'} \propto q^{(- 1 / (n - s)),'}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1905.06606

Formulas:

1-

χ (q, ω)

2-

1 / T_{1} T

3-

1 / T_{1} T

4-

1 / T_{1} T

5-

1 / T_{1} T

6-

1 / T_{1} T

7-

1 / T_{1} T

8-

1 / T_{1} T

9-

1 / T_{1} T \sim \sum_{q} I m χ (q, ω_{N}) / ω_{N}

10-

1 / T_{1} T

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1904.07507

Formulas:

1-

Cov (\hat{θ}) \geq F^{- 1}

2-

Cov (\hat{θ})

3-

Var (θ) \geq ℱ^{- 1}

4-

A \in 𝕄^{n \times n}

5-

vec [A] = {(a_{11}, \dots, a_{n 1}, a_{12}, \dots, a_{n 2}, \dots, a_{1 n}, \dots, a_{n n})}^{T} .

6-

A = \sum_{k, l = 1}^{n} a_{k l} | k ⟩ ⟨ l |

7-

vec [A] = (𝕀_{n \times n} \otimes A) \sum_{i = 1}^{n} e_{i} \otimes e_{i},

8-

vec [A B] = (𝕀_{n} \otimes A) vec [B] = (B^{T} \otimes 𝕀_{n}) vec [A],

9-

tr (A^{†} B) = vec {[A]}^{†} vec [B] .

10-

vec [A X B] = (B^{T} \otimes A) vec [X],

Formulas (html):

Correct Categorie: quant-ph

Guessed Categorie: quant-ph

Result: correct

Paper: https://arxiv.org/abs/gr-qc/9510035

Formulas:

1-

V = - | γ | r^{- ν}

2-

V = - | γ | r^{- ν}

3-

(- \frac{1}{8} \partial_{z} \partial_{z^{*}} + V (z, z^{*})) ψ (z, z^{*}) = 0 .

4-

z = x + i y

5-

z = f (ω), ω = u + i v,

6-

x = x (u, v), y = y (u, v),

7-

\frac{\partial x}{\partial u} = \frac{\partial y}{\partial v}, \frac{\partial x}{\partial v} = - \frac{\partial y}{\partial u},

8-

U = {| \frac{d f}{d ω} |}^{2} V (f (ω), f^{*} (ω^{*})),

9-

(- \frac{1}{8} \partial_{ω} \partial_{ω^{*}} + U (ω, ω^{*})) ϕ (ω, ω^{*}) = 0 .

10-

ϕ (ω, ω^{*}) = ψ (f (ω), f^{*} (ω^{*})) .

Formulas (html):

Correct Categorie: gr-qc

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/0907.2029

Formulas:

1-

E [x (t), f (t)] = 0

2-

\begin{matrix} M \frac{d u}{d t} & = - f (t) {(1 - u^{2})}^{3 / 2} - γ u (1 - u^{2}), \\ \frac{d x}{d t} & = u (t), u (0) = u_{0}, x (0) = x_{0}, \end{matrix}

3-

P (t) = \frac{M u (t)}{\sqrt{1 - u^{2} (t)}},

4-

\frac{d P}{d t} = - β P - f (t),

5-

P (t) = P (0) e^{- β t} - \int_{0}^{t} 𝑑 z f (z) e^{- β (t - z)} .

6-

𝒮 : t \mapsto t + T / 2

7-

(𝒮 f) (t) = f (t + T / 2) = - f (t)

8-

f (t) = ϵ_{1} \cos (q ω t + ϕ_{1}) + ϵ_{2} \cos (p ω t + ϕ_{2}),

9-

v = lim_{t \to + \infty} \frac{1}{t} \int_{0}^{t} u (τ) 𝑑 τ,

10-

{\tilde{P}}_{0} \exp (- β t) - \frac{ϵ_{1}}{\sqrt{β^{2} + ω^{2}}} \cos (ω t + ϕ_{1} - χ_{1})

Formulas (html):

Correct Categorie: nlin

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1903.02920

Formulas:

1-

ℒ = \frac{1}{4 π} [\partial_{t} φ \partial_{x} θ + \frac{1}{2} \partial_{x} 𝜽^{T} 𝖵_{θ} \partial_{x} 𝜽 + \frac{1}{2} \partial_{x} 𝝋^{T} 𝖵_{φ} \partial_{x} 𝝋] .

2-

\begin{matrix} 𝜽 & = & {θ_{1}, θ_{2}, \dots θ_{N}} \\ 𝝋 & = & {φ_{1}, φ_{2}, \dots φ_{N}} . \end{matrix}

3-

δ ρ_{i} = \frac{1}{π} \partial_{x} φ_{i}

4-

j_{i} = \frac{1}{π} \partial_{x} θ_{i}

5-

(\begin{matrix} 1 + g & g_{o} & 0 & 0 & \dots & 0 & 0 \\ g_{o} & 1 + g & g_{e} & 0 & \dots & 0 & 0 \\ 0 & g_{e} & 1 + g & g_{e} & \dots & 0 & 0 \\ 0 & 0 & g_{o} & 1 + g & \dots & 0 & 0 \\ \dots & \dots & \dots & \dots & \dots & \dots & \dots \\ 0 & 0 & 0 & 0 & \dots & g_{o} & 1 + g \end{matrix})

6-

g = 2 π (g_{4} + g_{2})

7-

{\hat{V}}_{θ} = \hat{𝟙}

8-

\hat{K} {\hat{V}}_{ϕ} \hat{K} = \hat{𝟙}

9-

\hat{K} = {\hat{V}}_{ϕ}^{- 1 / 2}

10-

g_{o} ψ (2 j - 1) + g_{e} ψ (2 j + 1) = ϵ ψ (2 j),

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0703596

Formulas:

1-

υ_{circ} = υ_{1 / 2}

2-

υ_{circ} = υ_{1 / 2}

3-

J_{21} = 10^{- 2}

4-

J = J_{21} \times 10^{- 21}

5-

J_{21} = 10^{- 2}

6-

υ_{1 / 2} = [89.4 \pm 2.4 - (6.3 \pm 0.3) z_{coll}] km s^{- 1},

7-

υ_{0} = [42.1 \pm 2.5 - (2.6 \pm 0.4) z_{coll}] km s^{- 1}

8-

υ_{1 / 2} = [69.2 \pm 2.4 - (4.3 \pm 0.3) z_{coll}] km s^{- 1} .

9-

T_{vir} = 10^{4} K

10-

υ_{circ} \approx 17 k m s^{- 1}

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/quant-ph/0608076

Formulas:

1-

δ k_{n} = k_{n} - {\bar{k}}_{n}

2-

s_{n} = k_{n} - k_{n - 1}

3-

k_{n} = k (n)

4-

k_{n} = \frac{π}{L_{0}} n - \frac{2}{L_{0}} \sum_{p} \frac{A_{p}}{ω_{p}} \sin (\frac{ω_{p}}{2}) \sin (ω_{p} n) .

5-

ω_{p} = π (m_{p}^{1} L_{1} + \dots + m_{p}^{B} L_{B}) / L_{0}

6-

δ_{n}^{(0)} = L_{0} (k_{n} - {\bar{k}}_{n}) / π

7-

x_{n} = {[α n]}_{mod 1}

8-

n = 1, 2, \dots

9-

x \in [0, 1]

10-

Ω_{i} = L_{i} / L_{0}

Formulas (html):

Correct Categorie: quant-ph

Guessed Categorie: quant-ph

Result: correct

Paper: https://arxiv.org/abs/2001.08929

Formulas:

1-

\dot{ρ} = - \frac{i}{ℏ} [\hat{H}, ρ] + γ \sum_{j \in ℐ} ({\hat{L}}_{j} ρ {\hat{L}}_{j}^{†} - \frac{1}{2} {{\hat{L}}_{j}^{†} {\hat{L}}_{j}, ρ}),

2-

ρ (t) = \sum_{n = 0}^{\infty} \int_{0}^{t} 𝑑 t_{n} \int_{0}^{t_{n}} 𝑑 t_{n - 1} \dots \int_{0}^{t_{2}} 𝑑 t_{1} \sum_{j_{1}, \dots j_{n} \in ℐ} ρ_{j_{n} \dots j_{1}}^{t} ({t_{i}}),

3-

ρ_{j_{n} \dots j_{1}}^{t} ({t_{i}}) = 𝒰_{t - t_{n}} 𝒥_{j_{n}} 𝒰_{t_{n} - t_{n - 1}} 𝒥_{j_{n - 1}} \dots 𝒥_{j_{1}} 𝒰_{t_{1}} ρ_{0}

4-

i = 1, \dots, n

5-

𝒰_{t} ρ \equiv e^{- \frac{i}{ℏ} {\hat{H}}_{eff} t} ρ e^{\frac{i}{ℏ} {\hat{H}}_{eff}^{†} t}

6-

𝒥_{j} ρ \equiv γ {\hat{L}}_{j} ρ {\hat{L}}_{j}^{†}

7-

{\hat{H}}_{eff} = \hat{H} - i ℏ \frac{γ}{2} \sum_{j \in ℐ} {\hat{L}}_{j}^{†} {\hat{L}}_{j}

8-

ρ (t) \to ρ_{n}

9-

ρ_{n} = \int_{0}^{\infty} 𝑑 t_{n} \int_{0}^{t_{n}} 𝑑 t_{n - 1} \dots \int_{0}^{t_{2}} 𝑑 t_{1} \sum_{j_{1}, \dots j_{n} \in ℐ} ρ_{j_{n} \dots j_{1}}^{n} ({t_{i}}),

10-

ρ_{j_{n} \dots j_{1}}^{n} ({t_{i}}) = 𝒥_{j_{n}} 𝒰_{t_{n} - t_{n - 1}} 𝒥_{j_{n - 1}} \dots 𝒥_{j_{1}} 𝒰_{t_{1}} ρ_{0} .

Formulas (html):

Correct Categorie: quant-ph

Guessed Categorie: quant-ph

Result: correct

Paper: https://arxiv.org/abs/1606.07975

Formulas:

1-

R_{s} = 2 G M / c^{2} =

2-

t = R_{s} / c =

3-

R_{s} = 2 G M / c^{2}

4-

V (R_{1}, R_{2}, M) = \int_{R_{1}}^{R_{2}} \frac{4 π r^{2}}{\sqrt{1 - R_{s} / r}} 𝑑 r

5-

Δ V (R_{1}, R_{2}, M) = V (R_{1}, R_{2}, M) - V (R_{1}, R_{2}, 0)

6-

Δ V_{t o t a l} = Δ V (R_{1}, R_{2}, 62) - Δ V (R_{1}, R_{2}, 29) - Δ V (R_{1}, R_{2}, 36)

7-

R_{2} = 4 R_{s}

8-

R_{1} = 1.5 R_{s}

9-

\sqrt[3]{Δ V_{t o t a l}} / c \approx 0.0012

10-

d s^{2} = - d t^{2} + a (t) (\frac{d r^{2}}{1 + k r^{2} / R^{2}} + r^{2} d Ω^{2})

Formulas (html):

Correct Categorie: gr-qc

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/2002.05260

Formulas:

1-

\nabla^{4} w (𝐱) - Ω^{2} w (𝐱) = Ω^{2} \sum_{N, j = 1}^{J} M_{N}^{(j)} w (𝐱) δ (𝐱 - 𝐱_{N}^{(j)}),

2-

Ω^{2} = ρ h ω^{2} / D

3-

D = E h^{3} / 12 (1 - ν^{2})

4-

M_{2} = 5 M_{1}

5-

Δ θ = 2 π / N

6-

⟨ 𝑭 ⟩ = \frac{Ω^{2}}{2} ℑ 𝔪 (w (𝒙) \nabla^{3} w^{*} (𝒙) - \nabla^{2} w^{*} (𝒙) \nabla w (𝒙)),

7-

I = \int_{- \infty}^{\infty} (⟨ 𝑭 ⟩ \cdot \hat{𝐱}) 𝑑 y .

8-

Δ θ = 2 π / N

9-

ρ = 2710 {kgm}^{- 3}

10-

d_{31} = - 274 {pmV}^{- 1}

Formulas (html):

Correct Categorie: physics

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1705.07003

Formulas:

1-

| S_{l j} | \leq 1

2-

S_{l j} \to V (r) + 𝐥 \cdot 𝐬 V_{SO} (r)

3-

S_{l j} \to V (r) + 𝐥 \cdot 𝐬 V_{SO} (r)

4-

S_{l j} \to V (r) + 𝐥 \cdot 𝐬 V_{SO} (r)

5-

σ^{2} = \sum_{l j} {| S_{l j}^{t} - S_{l j}^{i} |}^{2} .

6-

S_{l} \to V (r)

7-

| S_{14} | \sim 0.9997

8-

\arg S_{14} \sim 10^{- 4}

9-

σ = 3.79 \times 10^{- 5}

10-

σ = 2.30 \times 10^{- 4}

Formulas (html):

Correct Categorie: nucl-th

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/9811266

Formulas:

1-

F e S i, F e S i_{1 - x} A l_{x}

2-

F e_{1 - x} I r_{x} S i

3-

[2] - [7]

4-

𝒮 = 1 / (1 - \bar{S})

5-

σ (T) = e^{2} τ \int N (E, T) v_{F}^{2} (E, T) (- \frac{\partial f (E, E_{F}, T)}{\partial E}) 𝑑 E

6-

S (T) = e τ T^{- 1} \int (E - E_{F}) N (E, T) v_{F}^{2} (E, T) (- \frac{\partial f (E, E_{F}, T)}{\partial E}) 𝑑 E / σ (T)

7-

U = 0.5 K u^{2}

8-

0.5 M {(d u / d t)}^{2}

9-

3 k_{B} T = K u^{2}

10-

u^{2} = u_{x}^{2} + u_{y}^{2} + u_{z}^{2}

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/hep-lat/0405029

Formulas:

1-

O (a^{2})

2-

0.1 m_{s} \leq m_{u, d} \leq 0.6 m_{s}

3-

N_{f} = 2 + 1

4-

0.2 m_{s} \leq m_{q} \leq m_{s}

5-

N_{f} = 2 + 1

6-

0.1 m_{s} \leq m_{u, d} \leq 0.6 m_{s}

7-

\frac{2}{3} m_{u, d}

8-

r_{1}^{2} F_{\bar{Q} Q} (r_{1}) = 1

9-

r_{1} = 0.317 \pm 0.007

10-

m_{η_{s s}} / m_{ϕ} \approx 0.673

Formulas (html):

Correct Categorie: hep-lat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1203.3230

Formulas:

1-

{\bar{ϕ}}_{i} = {({\bar{x}}_{i}, {\bar{y}}_{i}, {\bar{z}}_{i})}^{⊤}

2-

ξ_{i j} = {(u_{i j}, v_{i j})}^{⊤}

3-

ξ_{i j} = {\bar{ξ}}_{i j} + e_{i j},

4-

{\bar{ξ}}_{i j} = {({\bar{u}}_{i j}, {\bar{v}}_{i j})}^{⊤}

5-

e_{i j} \sim 𝒩 (0, Σ_{e_{i j}})

6-

diag (σ_{e_{i j}}^{2}, σ_{e_{i j}}^{2})

7-

(u_{i j}, v_{i j})

8-

ϕ_{i} \neq {\bar{ϕ}}_{i}

9-

e_{i j}^{'} = ϕ_{i} - {\bar{ϕ}}_{i}

10-

f e_{i j}^{'} = f^{'} e_{i j},

Formulas (html):

Correct Categorie: cs

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1404.0858

Formulas:

1-

ψ (x, E) = e^{\frac{i}{ℏ} W_{L} (x, E)}

2-

- \frac{ℏ^{2}}{2 m} \frac{d^{2} ψ}{d x^{2}} = [E - V (x)] ψ .

3-

\frac{1}{2 m} {(\frac{d W_{L}}{d x})}^{2} - \frac{i ℏ}{2 m} \frac{d^{2} W_{L}}{d x^{2}} = E - V (x) .

4-

W_{L} (x, E)

5-

p_{L} (x, E) = \frac{\partial W_{L} (x, E)}{\partial x}

6-

\frac{1}{2 m} p_{L} {(x, E)}^{2} + \frac{ℏ}{2 m i} \frac{\partial p_{L} (x, E)}{\partial x} = E - V (x) .

7-

p_{L} (x, E)

8-

lim_{ℏ \to 0} p_{L} (x, E) = p_{C} (x, E)

9-

p_{C} (x, E)

10-

p_{C} (x, E) = \pm \sqrt{2 m (E - V (x))} .

Formulas (html):

Correct Categorie: quant-ph

Guessed Categorie: quant-ph

Result: correct

Paper: https://arxiv.org/abs/astro-ph/9809296

Formulas:

1-

z_{gal} = 0.0218 - 0.7873

2-

z_{abs} = 0.0155 - 1.0361

3-

ξ_{ga} (v, ρ)

4-

d P = m_{a} H_{0}^{- 1} [1 + ξ_{ga} (v, ρ)] d v,

5-

ρ \begin{matrix} < \\ \sim \end{matrix} ρ_{0} \approx 200

6-

f_{1} ξ_{1} + f_{2} ξ_{21}^{'}

7-

f_{2} ξ_{2} + f_{1} ξ_{12}^{'},

8-

i (\neq j) = {1, 2}

9-

f_{1} = 0.07 \pm 0.12

10-

f_{2} = 0.59 \pm 0.16

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/cond-mat/0505724

Formulas:

1-

i = 1, \dots, L^{2}

2-

z = 1, \dots, L_{z}

3-

n_{i}^{z} = 0, 1, 2

4-

ℋ = ℋ_{H C} + m_{1} g H_{1} + m_{2} g H_{2},

5-

H_{1} = \sum_{i, z} z δ_{n_{i}^{z} 1}

6-

H_{2} = \sum_{i, z} z δ_{n_{i}^{z} 2}

7-

P ({n_{i}^{z}}) = Π ({n_{i}^{z}}) \cdot e^{- ℋ_{H C} ({n_{i}^{z}}) - β_{1} m_{1} g H_{1} - β_{2} m_{2} g H_{2}},

8-

Π ({n_{i}^{z}})

9-

Π ({n_{i}^{z}}) = 1

10-

Π ({n_{i}^{z}}) = 0

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/0705.0870

Formulas:

1-

τ_{h} = 110 fs

2-

ℐ (𝐫, t)

3-

\dot{n} (𝐫, t) = ξ_{ω} ℐ (𝐫, t)

4-

{\dot{P}}_{inj} (t) = p \dot{n} (𝐫, t),

5-

d = 2.54 a_{B}

6-

P_{inj} (t)

7-

\ddot{P} (t) = {\ddot{P}}_{inj} (t)

8-

M (𝐫, t)

9-

{\dot{M}}_{e, inj} (𝐫, t) = {\bar{μ}}_{e} \dot{n} (𝐫, t),

10-

μ = g μ_{B} s / ℏ

Formulas (html):

Correct Categorie: cond-mat

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1812.07134

Formulas:

1-

ℒ_{G A N}

2-

ℒ_{R e c}

3-

ℒ_{V G G}

4-

ℒ_{R e c}

5-

ℒ_{G A N}

6-

ℒ_{V G G}

7-

ℒ_{G} = ℒ_{R e c} + α ℒ_{G A N} + β ℒ_{V G G},

8-

ℒ_{R e c}

9-

ℒ_{R e c}

10-

ℒ_{R e c}

Formulas (html):

Correct Categorie: cs

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/0812.4099

Formulas:

1-

\log (\sqrt{s_{NN}})

2-

R_{o u t}

3-

R_{s i d e}

4-

R_{l o n g}

5-

R_{o u t}

6-

R_{s i d e}

7-

R_{o u t} / R_{s i d e}

8-

R_{o u t} / R_{s i d e}

9-

R_{o u t} / R_{s i d e}

10-

R_{o u t}

Formulas (html):

Correct Categorie: nucl-ex

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1308.3207

Formulas:

1-

n (a) = n_{0} a^{- 3.5}

2-

a_{m a x}

3-

a_{m a x}

4-

a_{m a x}

5-

ξ_{s t a n d a r d}

6-

ξ_{s t a n d a r d}

7-

ξ_{I S M}

8-

M g_{2 (x)} F e_{2 (1 - x)} S i O_{4}

9-

M g_{x} F e_{1 - x} S i O_{3}

10-

x = M g / (M g + F e)

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1601.03295

Formulas:

1-

[1], [2], [3 - 4], [5 - 8], [9 - 16], \dots [\geq (2^{q} + 1)] .

2-

1 \times 1, 2 \times 2, 4 \times 4

3-

sign (z) {| z |}^{α}

4-

X_{I} = {𝒙_{t}}_{t = 1}^{T}

5-

G_{λ} (I) = \frac{1}{T} \sum_{t = 1}^{T} \nabla_{λ} \log {\sum_{n = 1}^{N} w_{n} 𝒩 (𝒙_{t} | μ_{n}, Σ_{n})}

6-

K (I, J) = G_{λ} {(I)}^{⊤} F_{λ}^{- 1} G_{λ} (J)

7-

L_{λ}^{⊤} L_{λ}

8-

K (I, J)

9-

Γ_{λ} (I) = L_{λ} G_{λ} (I)

10-

Γ_{μ_{n}^{d}} (I)

Formulas (html):

Correct Categorie: cs

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/1104.3780

Formulas:

1-

E = \sum_{A} E_{A} + \sum_{A < B} E_{A B}

2-

E_{A}^{(1)} = \sum_{μ \in A} \sum_{ν} D_{μ ν} h_{ν μ}^{A} + \frac{1}{2} \sum_{μ, ρ \in A} \sum_{ν, τ} (D_{μ ν} D_{ρ τ} - \frac{1}{2} D_{ρ ν} D_{μ τ}) [ν τ | μ ρ]

3-

E_{A B}^{(1)} = \frac{Z_{A} Z_{B}}{R_{A B}} - \sum_{μ \in A} \sum_{ν} D_{μ ν} ⟨ ν | \frac{Z_{B}}{r_{B}} | μ ⟩ - \sum_{μ \in B} \sum_{ν} D_{μ ν} ⟨ ν | \frac{Z_{A}}{r_{A}} | μ ⟩

4-

+ \sum_{μ \in A} \sum_{ρ \in B} \sum_{ν, τ} (D_{μ ν} D_{ρ τ} - \frac{1}{2} D_{ρ ν} D_{μ τ}) [ν τ | μ ρ]

5-

E_{A}^{(2)} = \sum_{μ, ν \in A} D_{μ ν} T_{ν μ} - \sum_{μ \in A} \sum_{ν} D_{μ ν} ⟨ ν | \frac{Z_{A}}{r_{A}} | μ ⟩

6-

+ \frac{1}{2} \sum_{μ, ρ \in A} \sum_{ν, τ} (D_{μ ν} D_{ρ τ} - \frac{1}{2} D_{ρ ν} D_{μ τ}) [ν τ | μ ρ]

7-

E_{A B}^{(2)} = \frac{Z_{A} Z_{B}}{R_{A B}} + 2 \sum_{μ \in A, ν \in B} D_{μ ν} T_{ν μ} - \sum_{μ \in A} \sum_{ν} D_{μ ν} ⟨ ν | \frac{Z_{B}}{r_{B}} | μ ⟩ - \sum_{μ \in B} \sum_{ν} D_{μ ν} ⟨ ν | \frac{Z_{A}}{r_{A}} | μ ⟩

8-

+ \sum_{μ \in A} \sum_{ρ \in B} \sum_{ν, τ} (D_{μ ν} D_{ρ τ} - \frac{1}{2} D_{ρ ν} D_{μ τ}) [ν τ | μ ρ]

9-

μ, ν, ρ, τ, \dots .

10-

h^{A} = T - \frac{Z_{A}}{r_{A}}

Formulas (html):

Correct Categorie: physics

Guessed Categorie: quant-ph

Result: incorrect

Paper: https://arxiv.org/abs/astro-ph/0612100

Formulas:

1-

0.1 - 0.25 M_{⊙} {yr}^{- 1}

2-

\sim 10^{9} M_{⊙}

3-

km s^{- 1} {Mpc}^{- 1}

4-

t_{b u o y}^{e}

5-

r_{eff} = {(a b)}^{1 / 2}

6-

y = S_{c a v} / S_{s m o}

7-

2 r_{eff} = 2 {(a b)}^{1 / 2}

8-

P_{cav} = 4 p V / ⟨ t ⟩

9-

356 km s^{- 1}

10-

P_{jet} = d E_{cav} / d t + p d V_{cav} / d t

Formulas (html):

Correct Categorie: astro-ph

Guessed Categorie: quant-ph

Result: incorrect

Run 11332252 (Agent494)