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Write the LaTeX representation for this image.
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N \left( \begin{array}{c} {\cal{O}}\left(\sqrt{l}\right)e^{-D|t|} \\ 0\\ \sqrt{2D} e^{-D|t|} \end{array} \right)~,
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Provide the LaTeX formula.
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e ^ { 2 \pi i f _ { a b } } = \mathrm { p h a s e } \left[ \frac { \det H ( b ) } { \det H ( a ) } \right]
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Provide the LaTeX formula.
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\tilde { \varphi } = E _ { 0 } z ^ { \sqrt { C _ { - } } } ( 1 - z ) ^ { i \sqrt { C _ { + } } } F ( a , b , c ; z ) ,
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Provide the LaTeX formula.
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G_r(x;q,t)={(t;q)_r\over (q;q)_r} \sum_{i=1}^n x_i^n + \mbox{lower degree terms}.
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Provide the LaTeX formula.
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{ \tilde { a } } _ { \alpha } = a _ { \alpha } + \lambda _ { \beta } \partial ^ { \beta } \Sigma ,
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You are an expert radiographer. Describe accurately what you see in this image.
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Coronary cineangiography demonstrating left anterior descending and left circumflex coronary artery originating from left coronary cusp.
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Write the LaTeX representation for this image.
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\omega'(t) + \mu (1+\gamma\partial_t^\alpha) \omega (t) & = 0,\; t> 0,\\\omega (0) & = 1,
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Provide the LaTeX formula.
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\lim_{t\to\infty}\left|u(x,t)-\sum_{k=1}^{n_0}\left[U_k\big(|x|-c_kt-\zeta_k(t)-\tilde\zeta_k(t, \frac{x}{|x|})\big)-Q_k\right]\right|=0
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a \circ ( b \circ c ) = ( a \circ b ) \circ c - \frac { 1 } { 4 } [ b , [ a , c ] ]
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Provide the LaTeX formula.
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\lim_{\epsilon \to 0} \int_{\mathcal{C}_{\epsilon}} z \mathrm{Tr}\left({Y}^{-1}(z){Y}^{\prime}(z)\sigma_3 \right)dz = 0.
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位身穿碎花连衣裙的年轻女性站在白净的背景前，她留着棕色长发，一双棕色眼睛微微含笑，正看向观者。她的裙子搭配高跟凉鞋，一只手轻松地搭在髋部，整体造型既优雅又俏皮。这种结合碎花图案与高跟鞋的穿搭展现了她的时尚品味，凸显了女性魅力。
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿短裙和高跟鞋的女性正躺在一张床上。她的穿搭凸显了身材曲线，展现出一种随性又性感的风格。
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Provide the LaTeX formula.
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R(s,t)=\left\{ \begin{array}{ll} e^{-\alpha (s-t)},&s\ge t, \\ e^{ \bar{\alpha} (s-t)} ,&s< t, \end{array}\right.
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Recognize all the text in the image.
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Applications for this Program are available online at www.wsmr.army.mil/employment.
\textbf{Something}
Simplify (h**(28/5))**(-15) assuming h is positive.
------------------------------------------------------------------------------ ------------------- ------------------------------------------------------ ---------------------------------------------- ----------------------------------------------------- ----------------------------------------
Central Connecticut State University President Zulma R. Toro announced Tuesday that she is seeking to fire two longtime theater professors after investigators concluded that each had likely engaged in sexual misconduct with one or more students.
Frank Policelli, Utica, for appellant.
Simplify (x**(4/9)/x**(2/29))**(2/15) assuming x is positive.
Simplify ((w*w*(w*w**(-5/4))/w)/(w*w*w/(w*w/w**(1/13))*w))**(3/17) assuming w is positive.
2 E F
But Tom had a cold. He felt itchy in his nose and throat. He tried to hold it in, but he could not. He sneezed very loud. "Achoo!" The sneeze was so strong that it blew out some of the fire. The fire became smaller and weaker.
More generally, drug treatment may increase infrapopulation genetic heterogeneity, as those parasites within treated hosts which survive treatment may have a higher resistance allele frequency than those harboured within untreated hosts.
class DownloadRecord(Base):
Emergency room outreach to chronically addicted individuals. A pilot study.
: phosphoenolpyruvate carboxykinase
Simplify (h**(1/14)*h**(-4)*h)**(1/39) assuming h is positive.
Simply asking for
* distributed under the License is distributed on an "AS IS" BASIS,
It seemed that the Jeroboam had not long left home, when upon speaking a whale-ship, her people were reliably apprised of the existence of Moby Dick, and the havoc he had made.
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Provide the LaTeX formula.
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A _ { \mu } ( x ) = \sum _ { k \ge 0 } \beta ^ { - k / 2 } A _ { \mu } ^ { ( k ) } ( x ) .
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Provide the LaTeX formula.
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U ( \sigma ) = \sum _ { r = 2 } ^ { \infty } \frac { f _ { r } } { r } \sigma ^ { r } .
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Provide the LaTeX formula.
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k _ { \mu } ^ { ( s ) } = k _ { \mu } ^ { ( i ) } + k _ { \mu } ^ { ( l ) } ,
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿黑色高跟鞋和黑色内衣的女性正坐在浴缸上。她的搭配展现了性感与自信的魅力。
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Write the LaTeX representation for this image.
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\mathcal{F} = \left \{ z \; \Bigg| \; z\in H, \; |z|\geq 1, \; -\frac{1}{2}\leq \textup{Re}(z)\leq \frac{1}{2} \right \}.
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Write the LaTeX representation for this image.
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\gamma_1 := \frac{1}{2} \left( c_5(q,\ell,p_0) - \frac{c_2(q,\ell,p_0)c_3(q,2\ell,\ell,p_0)}{c_1(q,2\ell,p_0)} \right).
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Provide the LaTeX formula.
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W(U_{h,\theta}(ih+,y))=W(U_{h,\theta}(ih-,y_{i,n}))+G(U_{h,\theta}(ih-,y_{i,n}))h.
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Write the LaTeX representation for this image.
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H = \int d^{3}x dt \left[ N ( {\cal H}^{0} + {\cal E} )+ N_{i} ( {\cal H}^{i} + {\cal P}^{i} ) \right]
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Write the LaTeX representation for this image.
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b_{\alpha}(\varphi,\psi) = \int_{\mathcal{D}\times\mathcal{D}}&k(x,y)\partial^{\alpha}\varphi(x)\partial^{\alpha}\psi(y)dxdy
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Describe the content of the picture.
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This is a photo depicting a group of people gathering in a city square. The center of the photo is a group of women sitting on the ground, seemingly engaged in a discussion or socializing. They are dressed in casual clothes, some holding drinks, others looking at their phones. Behind them is a row of shops, including a clothing store named 'INSTORE', with a blue sign hanging above. The street is paved with cobblestones, and the surrounding environment is neat and orderly, with a few pedestrians walking on the street.
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Provide the LaTeX formula.
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\sum_{i=1}^{n}\min(b_{i},j)=\sum_{i=1}^{j}\#(b_{z}:b_{z}\geq i, 1\leq z\leq n).
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return Derived<int>(7);
## How to run it locally
Karen: Karen unfolded the paper. It was a map, dotted with cryptic symbols. “What is this?”
Story continues below advertisement
Eventually I got tired of failing.
And folks, this is all that we know about the upcoming console, but there is no official confirmation regarding these, so you should really take these rumors with a pinch of salt.
: high-density lipoprotein cholesterol
The log file tells you
It is absolutely imperative that people understand not only just how contrived the treat of Iran is, but that those peddling the lies of such a threat have, behind closed doors, admitted as much.
Having data quickly available at this level of granularity requires a well-designed and well-tuned data warehouse.
The type you used is DateTime (on the server side as well as the client side).
He confirmed reports that the woman’s mother and children had witnessed the attack.
* [@pntd.0000211-Schwab1]. The exact number of samples taken from each of the 30 hosts was: 11, 10, 15, 9, 11, 9, 13, 10, 10, 7, 10, 10, 7, 1, 11, 9, 1, 7, 4, 1, 10, 9, 8, 6, 4, 6, 9, 10, 10, 8, for a total of 246 microfilariae.
In [52]: df = pd.DataFrame([['A','B'],['C','D'],['E','F']] , columns=['Sheet','row'])
}
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Write the LaTeX representation for this image.
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\chi\left( \left(\begin{matrix} a& b \\ 0 &d\end{matrix} \right)\right) = \chi_1(a)\chi_2(d).
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What's the sum of the two middle bars in this chart?
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2112,2 112,2,112
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\psi_\textbf{i}(\textbf{x})=\prod_{\ell=1}^3 \psi_{i_\ell}^{(\ell)}(x_\ell),
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Provide the LaTeX formula.
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D^{\prime}=h(s,st)\left(f(s,st)\frac{\partial}{\partial x}+\frac{1}{s}\left(tf(s,st)+g(s,st)\right)\frac{\partial}{\partial y}\right).
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Write the LaTeX representation for this image.
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V _ { 0 } \sim \frac { c } { 1 6 \pi ^ { 6 } } \frac { 1 } { R ^ { 4 } } , \qquad c \sim { \cal O } ( 1 ) ,
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Provide the LaTeX formula.
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\begin{array}{llll}u_1=(0,1), &u_2=(-1,1), &u_3=(-1,0), &u_4=(0,-1), \\ u_5=(1,-1), &u_6=(1,0), &u_7=(1,1). &\end{array}
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Provide the LaTeX formula.
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\alpha(R_\alpha)=1,\ \ \ i_{R_\alpha}.d\alpha=0, \index{Reeb vector field}
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Write the LaTeX representation for this image.
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A _ { \mu \nu } = A _ { \nu \mu } ^ { * } A _ { \mu \nu \lambda \kappa } = A _ { \kappa \lambda \nu \mu } ^ { * } e t c .
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Write the LaTeX representation for this image.
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\tilde{\lambda}:= \frac{x\lambda}{h^{1/2}(x_0-x)}, \, \tilde{t}:= \frac{xt}{h^{1/2}(x_0-x)}.
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Write the LaTeX representation for this image.
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\alpha \in \Phi \quad \Rightarrow \quad \alpha = \sum _ { i = 1 } ^ { 8 } m _ { i } \alpha _ { i }
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Provide the LaTeX formula.
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U=(-1)^{p(\eta,j)-1}(-1)^{|\pi(\eta\cup j)|} \prod_{r \notin [m+1,M]}{U^{\eta \cup j}_{r}}.
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Write the LaTeX representation for this image.
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x_{0}=\frac{t_{n}x_{0}}{t_{n}}\geq \frac{U(V(t_{n}x_{0})-)}{U(V(t_{n})+)}\leq \frac{U(V(t_{n}x_{0})-1)}{U(V(t_{n})+1)}.
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Provide the LaTeX formula.
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\epsilon = \frac{M_P^2}{2}\left(\frac{V'}{ V}\right)^2\,,\qquad \eta = M_P^2\frac{V''}{V}\,,
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿黑色丝袜和高跟鞋的女性正坐在沙发上。她的搭配凸显了修长的腿部线条，展现出优雅与性感的魅力。
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Provide the LaTeX formula.
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\mathrm{T}_{t}-\mathrm{T}_0 =\int^t_0 \Lambda\big(\mathbf{D},\mathrm{d}z\big) \equiv \boldsymbol{\xi}^\star_t\mathbf{D}\boldsymbol{\xi}_t
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Provide the LaTeX formula.
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f^{(\beta)}(x,\xi)=\sum_{|\beta+k|_1\leq \alpha-1}\frac{1}{k!}f^{(\beta+k)}(x,\zeta)(\xi-\zeta)^k+R^\beta(x,\xi,\zeta)
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Provide the LaTeX formula.
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\lim_{t\to \infty} \frac{1}{\lambda^t} M^t \vec v_{0} = \lambda' (\vec v + \frac{1}{\lambda} \vec w)\,,
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Write the LaTeX representation for this image.
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J ^ { l } ( z ) \mapsto \sum _ { i = 1 } ^ { N } : \psi ^ { i } ( z ) \partial _ { z } ^ { l } \psi ^ { * i } ( z ) : ,
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位留着棕色长发的年轻女性站在纯白背景下，身穿无袖上衣与白色长裤，脚踩高跟鞋，耳戴环状耳环。她微微转身面向一侧，给人一种精致而优雅的感觉。整体穿搭简洁大方，突出了她的个人风格和身材线条。
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Provide the LaTeX formula.
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G ^ { \mu \nu , \alpha \beta } ( x - x ^ { \prime } ) = \int \frac { d p ^ { 4 } } { ( 2 \pi ) ^ { 4 } }
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Provide the LaTeX formula.
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a^{\bar f}_ {\bar g}=\left(\begin{array}{cc} A_3&-\bar a \sqrt{2}\\ - a\sqrt{2}&-A_3\end{array}\right).
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Write the LaTeX representation for this image.
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\begin{cases}(-\Delta)^{\frac{\alpha}{2}} u =\sigma u^q + \mu, \, & u>0 \, \Omega, \\u = 0 & ,\end{cases}
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿高跟鞋和丝袜的女性正站在椅子上摆出姿势，她的装扮突显了身材曲线，展现出性感与自信的魅力。
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Provide the LaTeX formula.
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\mathbf{P}_n(|Z_0|\leq A)= \int_{x\in I}\mu_n(dx)\mathbf{P}_n^x(|Z_0|\leq A) =\mu_n( I\cap [-A,A]).
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Write the LaTeX representation for this image.
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\tilde { G } ( k ) = \frac { \tilde { K } ( k ) } { 1 + \tilde { K } ( k ) } .
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Provide the LaTeX formula.
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\lambda^\star:= \inf_{\underset{w\in X^{1/2}_0(\mathcal{C}_\Omega)}{\Psi(w)>0}}\frac{\Phi(w)}{\Psi(w)}
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Write the LaTeX representation for this image.
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g_1(\iota'S_k^{-1}\iota) \quad=p_1(\iota'S_k^{-1}\iota-k)+r_1(\iota'S_k^{-1}\iota-k)+\delta_1,
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Provide the LaTeX formula.
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\mathcal C_i(\phi_i(n,k)U_{n,k})=\phi_{i+1}(n,k)U_{n,k},\mathcal C_i(\psi_i(n,k)U_{n,k})=\psi_{i+1}(n,k)U_{n,k}.
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Write the LaTeX representation for this image.
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\mathbb{E}[(s_{ii} -s^1(z))s_{pq}] =O(\frac{v_0^{-20}}{n \sqrt{n}})\,.
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You are an expert radiographer. Describe accurately what you see in this image.
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MRI of pelvis at the level of the bladder and rectum. Arrow: colovesicular fistula.
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Provide the LaTeX formula.
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\left(L^{d}-(n_{i'_{a}}-1)\right)\sim (L^{d}-1)\;\mbox{ and }\;\left(L^{d}-(n_{i'_{b}})\right)\sim (L^{d}-1).
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Create a thorough description describing the given image. Include the text contents and the information they convey in the description.
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The image features a large billboard advertising a One Day Shop, promoting products and services. The advertisement is written in both English and Asian languages, catering to a diverse audience. The billboard is located next to a building, making it easily visible to passersby.
The advertisement showcases a group of people on the display, possibly modeling the products being advertised. There are nine individuals in total, spread across the image, with some positioned closer to the left side of the billboard and others near the center. The people appear to be engaging with the product, drawing attention to the One Day Shop and potentially attracting more customers.
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Recognize all the text in the image.
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* obtain it through the world-wide-web, please send an email
Cuando termino octavo, Wales asistio a la escuela Randolph School, una secundaria en Huntsville.
The aggregated nature of the passage of transmission stages between hosts will make parasite elimination harder to achieve by lowering the breakpoint density (the unstable equilibrium below which the parasite population will tend naturally to local extinction [@pntd.
Answer: Day, and night
Accordingly, it is the primary object of this invention to extend the lifetime of a catalyst used to combine the CO and O.
And the container can be open, but does not have to. But I have to know if there would be visible elements inside of the container without opening it.
Simply asking for
Sally was mad and felt embarrassed. She lay on the ground and stared at the sky. Suddenly, a bright rainbow shot across the sky and stopped right in front of Sally.
Her laughter bubbled up like a fizzy drink, and her eyes sparkled like . The moon peeked out from behind the clouds, winking at her playfully. ”
At the 2019 Mid-Eastern Athletic Conference Championships in May, Amoah became the first Ghanaian in any sport to qualify for the 2020 Summer Olympics by running 200 metres in a personal best time in 20.
0000211-Anderson2] may cause the allele frequency and genotype distribution to vary by chance from generation to generation.
Consanguineous unions and endogamy in families of beta-thalassaemia patients from two Mediterranean populations: Tunisia and Italy.
```
Kas is mainly associated with symptoms and indications-The International Classification of Diseases (ICD)- ATC.
Butyrate increased energy consumption, TCA cycle levels, and degradation of carbohydrates and lipids in mice by promoting mitochondrial decoupling.
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一位身穿高跟鞋的女性坐在沙发上，她的装扮展现出优雅与自信，高跟鞋更添几分妩媚气质。
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿丝袜和高跟鞋的性感女性坐在床上，她的装扮凸显了身材曲线，散发着迷人的魅力。
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U = s_{x_1} s_{x_2+x_3} s_{-x_1-x_2} s_{y_1}s_{y_2+y_3} s_{-y_1 - y_2}
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Write the LaTeX representation for this image.
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L_1^*(R)+ 2L_2^*(Z) = b - \left( (U^TA_1U ) \cdot W, \ldots, (U^TA_mU) \cdot W \right)^T .
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Write the LaTeX representation for this image.
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\bar\Gamma^\pm \ = \ \bigcup_{i=1}^N \Lambda_i^\pm \cup \bigcup_{i=1}^{N}S^\pm_i
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位留着黑色长发的年轻女性独自站立，她身穿一件绿色长裙，搭配长袖设计，脚蹬高跟凉鞋，耳戴耳环，整体造型精致且富有细节感。她的长发自然垂落，与修长的裙摆相映成趣，展现出优雅的气质。这身时尚装扮凸显了她的身材曲线，尽显女性魅力。
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位年轻女性站在简单背景前，棕色长发披肩，搭配白色连衣裙，展现出优雅气质。她穿着黑色裤子，脚踏高跟凉鞋，手持手袋，双手自然交叠于身前。棕色眼眸与精致的珠宝相映成辉，尤其是环形耳环为整体造型增添亮点。她的穿搭风格简约而不失时尚感，白色裙子与棕色头发形成和谐对比，突显出现代女性的自信与魅力。
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
- 推测图片边缘被裁剪掉的元素
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一位身穿渔网袜和高跟鞋的女性正坐在床上，她的装扮展现出性感与随性的结合，既大胆又引人注目。
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Provide the LaTeX formula.
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\| {\mathcal E}(t,\tau) \| \le {C}_{15} + C_{17} |\tau| t^2,0< |t|\le t^0,\ N=0;C_{17} = c_*^{-1/2} C_{9}.
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Provide the LaTeX formula.
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5 \frac{\ddot R}{R} - 4 \left(\frac{\dot R}{R}\right)^{2} - \ddot \phi = 0
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Write the LaTeX representation for this image.
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\tilde{\varphi}(v)=\begin{cases}\varphi(v), & v\in T,\\ w_{i}, & v=v_{i}.\end{cases}
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Describe the content of the picture.
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This is a photograph showcasing a city's night view, with the focus on a bridge adorned with lights, its structure clearly visible under the night sky. The bridge is connected to a modern skyscraper, its glass curtain wall reflecting the surrounding lights. The river surface is calm, reflecting the lights of the bridge and the skyscraper, adding a touch of tranquility to the scene. The entire scene is illuminated by the night lights, creating a peaceful and beautiful urban nightscape.
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Provide the LaTeX formula.
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X^T(t) := \begin{cases} X(t) & [0,T], \\ X(T) + (t-T)V(T) & [T,\infty), \\ t V_0 & (-\infty,0]. \end{cases}
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Write the LaTeX representation for this image.
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\overset \cdot b_i = b_i(\sum_{j=1}^p b_{i+j} -\sum_{j=1}^p b_{i-j}),i\in\mathbb{Z}.
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Write the LaTeX representation for this image.
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\kappa = \left. { \frac { 1 } { 2 } } f ^ { \prime } H ^ { - { \frac { D - 2 } { \Delta } } } \right| _ { r = r _ { h } } .
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位深肤色的年轻女性独自站在简约背景前，她有着一头金发和长长的卷发，身着一件带有花卉图案的连衣裙，脚踩高跟凉鞋。她的双手叉腰，嘴唇微启，展现出自信的姿态。整体穿搭精致且富有设计感，展现了时尚模特的独特魅力。
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Write the LaTeX representation for this image.
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{ \cal L } _ { g f } = { \frac { 1 } { 2 \alpha } } ( \partial _ { \mu } A ^ { \mu } ) ^ { 2 } ,
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Provide the LaTeX formula.
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c_1 &= 2\log (a+1) + \frac{a\pi}{a^2 -1}, \\c_2 &= 2\log\frac{a}{a^2 -1} + \frac{2a\pi}{a^2 - 1}.
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Write the LaTeX representation for this image.
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X ^ { \mu } = \int \tilde { d k } \phi ( k ) { \frac { \partial } { { \partial P _ { \mu } } } } F ( P , k ) ,
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Write the LaTeX representation for this image.
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\mathbf{A}_{k}\left( E;x\right) :=\left\{ \omega\in\mathbf{A}_{k}\left(x\right) :\mathbf{E}\left( \omega\right) =E\right\} ,
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Write the LaTeX representation for this image.
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p_i = \lim_{n\to\infty} \frac{e_i^T A^{np} 1}{ \lambda^{np}} \ \ \ \ u_i = \lim_{n\to\infty} \frac{e_\ast^T A^{np} e_i}{\lambda^{np}}
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Write the LaTeX representation for this image.
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(Lx)(v)=\sum\limits_{e\in E_v}\frac{\delta_E(e)}{\delta_V(v)}\frac{1}{|e|^2}\sum\limits_{u\in e}(x(u)-x(v)),
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Write the LaTeX representation for this image.
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g_j:=\left|A_j\left(\varphi_j*\vec f\right)\right| h_j:=\left|W^{\frac{1}{p}}\left(\varphi_j*\vec{f}\right)\right|.
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位留着长发的年轻女性站在纯白背景前，她面带微笑望向观者，棕色的眼睛炯炯有神。她的穿搭简约而不失精致：身着一条粉色的修身裤装，搭配高跟鞋和一款手提包，整体造型凸显身材曲线。裤子的设计贴合身形，展现出时尚感，而高跟鞋则增添了几分优雅气质。整体来看，这套穿搭既展现了都市女性的干练风格，又不失柔美气息。
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4\pi \left( (2^{n+1}+1)\cdot\Lambda_{\!n}^{2} + (2^n+1)\cdot 4\Lambda_{\!n}^{2}\right)\leq C\cdot 2^n\cdot ({2^{-n}})^2 = C\cdot 2^{-n}
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\bar \theta_1&=1,\\\bar \theta_i&=\pi^{[n-1]}_{i-1}(\xi^{\bar \theta}_1(X_1),x+X_1,X_2,Y_2,\dots,X_{i-1},Y_{i-1}),
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请分析这张照片的场景和人物穿着特征。重点识别以下内容：
- 整体场景氛围
- 主要人物的服装款式特征
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一位留着棕色长发的年轻女性独自站在灰色背景前，身穿绿色连衣裙，脚蹬高跟鞋。她佩戴了耳环和珠宝，眼神温柔，表情自然。整体造型简洁大方，展现了时尚模特的独特魅力。
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Provide the LaTeX formula.
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F(z)(0) =\lambda_{\Theta}[( \Theta \circ h)(z), \alpha_z](0) =( \Theta \circ h)(z)
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Write the LaTeX representation for this image.
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J^{\pm}=\theta^1\otimes e_2 - \theta^2\otimes e_1 +\theta^3\otimes e_4 - \theta^4\otimes e_3 \pm\theta^5\otimes e_6\mp\theta^6\otimes e_5.
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Write the LaTeX representation for this image.
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({\cal F}^5)_{ab} = ({\cal D}_0 -{\cal D}) \, {\cal F}_{ab} +(1-{\cal D}_0)\, ({\cal F}^3)_{ab} \, .
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Provide the LaTeX formula.
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\tilde { B } _ { \mu } ^ { ( j ; m ) \dag } = ( - 1 ) ^ { m + 1 } \tilde { B } _ { \mu } ^ { ( j ; m ) }
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Write the LaTeX representation for this image.
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\{ z \} _ { \infty } = ( z ; q ^ { 4 } , q ^ { 4 } ) _ { \infty } , \qquad [ z ] _ { \infty } = ( z ; q ^ { 8 } , q ^ { 8 } ) _ { \infty }
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Write the LaTeX representation for this image.
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\mathcal{D}_r(M_1)=2 \ell^{t+3s+3v}x, \mathcal{D}_l(M_1)=-2 \ell^{t+3s+3v} y.
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Write the LaTeX representation for this image.
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u_\pm = {M \over 2 \lambda} - {1 \over 2} \int {\rm e}^{w_\pm}\int {\rm e}^{-w_\pm}\sum_{i=1}^N \partial_\pm f_i \partial_\pm f_i.
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Provide the LaTeX formula.
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{\cal D}_{3}=- i {\gamma}_r( {\partial}_{r} - {\frac {\vec{\sigma}.\vec{\cal L}}{r}}).
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Provide the LaTeX formula.
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T=\frac{1}{4\pi}~\varepsilon^{abc}\int\int \phi_a~\frac{\partial\phi_b}{\partial x}~\frac{\partial\phi_c}{\partial y}~dx~dy
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Write the LaTeX representation for this image.
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L_i[\psi(\cdot,\mu)](\nu) = M_i[\psi(\nu,\cdot)](\mu),\forall \ i \in \mathbb{Z},
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H_t ={\rm tg}\left( {\rm arctg}\, H + t\right) t \in [0 , \epsilon _0).
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Provide the LaTeX formula.
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\varphi : (x_1, y_1) \mapsto (x_2, y_2) = \left( \varphi_x(x_1), \varphi_y(x_1)y_1\right).
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Provide the LaTeX formula.
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y_\theta = Y(x_b,\overline{u}(x_b),D\overline{u}(x_b)+\theta s \gamma).
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Write the LaTeX representation for this image.
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\|f\|_{V^q(0,1;E)}^q \lesssim \sum_{N} \Bigl( N^\epsilon \sum_{k=0}^{N-1}\|f(t_{k+1}^N) - f(t_k^N)\|_E^q\Bigr),
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