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Provide the LaTeX formula. | M = { \frac { 1 } { 2 } } \left( \begin{matrix} { 1 - \beta } & { 1 + \beta } \\ { 1 + \beta } & { 1 - \beta } \\ \end{matrix} \right) |
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Provide the LaTeX formula. | \sum_{n=0}^{\infty}\sum_{|m|\leq n} (-1)^{m}(1-q^{2n+1})q^{(3n^2+n)/2-m^2} = f_{1,5,1}(q,q;q)+q^2f_{1,5,1}(q^4,q^4;q). |
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Describe the content of the image. | This is a photo showcasing a monument located in a spacious square. The monument is a towering stone structure, with a plaque and a flagpole at the top. The square is paved with white lines, creating a regular geometric pattern. The surrounding environment is composed of dense green trees and some low shrubs, adding a natural atmosphere to the monument. In the distance, the sky is clear, with a few white clouds leisurely floating in the blue sky. |
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You are an expert radiographer. Describe accurately what you see in this image. | Chest TC showing pericardial effusion and pleural effusion on the right hemithorax. |
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How many times Germany is bigger than Greece ? | 1.88 |
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Write the LaTeX representation for this image. | ( \hat { \cal Q } ^ { \ddagger } \alpha , \beta ) = ( - 1 ) ^ { | \alpha | | \hat { \cal Q } | } ( \alpha , \hat { \cal Q } \beta ) . |
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Provide the LaTeX formula. | \varphi_t + F\left(t_0,x_0,u^*(t_0,x_0),D\varphi(t_0,x_0),D^2 \varphi(t_0,x_0)\right)\leq 0 |
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Provide the LaTeX formula. | \begin{cases}\partial^2_{x}\theta = 0\,,\\\theta(x=0) = \eta\,,\quad\theta(x=1) = 0\,.\end{cases} |
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Write the LaTeX representation for this image. | C = \sum _{a \in A_t} (r - d_H(a)) + \sum _{b\in B_s} (r - d_H(b)) + e_{G\setminus H}(A_s,B_t). |
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Write the LaTeX representation for this image. | h(y_i)&= \max\Big\{\min_{k\in\{1,\ldots,n\}}g(y_k),g(x_j)-d(x_j,y_i)\Big\}+a\\ &\le \max\big\{g(y_i),g(y_i)\big\}+a\\ &=g(y_i)+a. |
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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 | 一位留着长黑发的年轻女性独自站在简洁的白色背景前，身穿黑色无袖连衣裙，露出肩膀，脚踩高跟鞋。她双手插兜，佩戴耳环，嘴唇微微勾起，神情自然。整体穿搭简约而精致，既凸显了她的身材曲线，又展现了时尚感。 |
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Provide the LaTeX formula. | \frac{(xt;q)_\infty}{(t,at;q)_\infty}=\sum_{n=0}^\infty \frac{(-1)^n q^{\binom{n}{2}}}{(q;q)_n} V_n^{(\alpha)}(x;q) t^n. |
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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 | 一位身穿蓝色丝袜和高跟鞋的女性正摆出姿势。她的搭配凸显了修长的腿部线条，展现了都市女性的优雅与自信。 |
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Provide the LaTeX formula. | \det_{1\leq k,\ell\leq n}\left( e_{k-\ell}(\c) + (-1)^{\ell-1} e_{k+\ell}(\c)\right)=\prod_{1\leq i<j\leq n+1}(1+c_ic_j) \,. |
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Write the LaTeX representation for this image. | \times { \binom { R + S + Q - K } { R } } { \binom { K } { Q } } \int _ { \Omega } I _ { B A } ^ { K } D _ { R } E _ { B } ^ { J } ( h ) |
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Provide the LaTeX formula. | \zeta(0)_{N=1 \; {\mbox {SUGRA}}}=-{758\over 45}+{709\over 360}=-{119\over 8} \; , |
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Write the LaTeX representation for this image. | \partial_{t} w + (u\cdot\nabla) w + \Lambda^{2r_{1}} w = (b\cdot\nabla) j. |
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Provide the LaTeX formula. | cov(T_{l_1},T_{l_2}) = \mathbb{E}T_{l_1} T_{l_2} - \mathbb{E} T_{l_1} \mathbb{E}T_{l_2}. |
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Provide the LaTeX formula. | (\xi^{1,N}_t, \dots, \xi^{N,N}_t)_{t=1}^T, (X^{j,N}_0)_{ j =1}^N (\widetilde\Phi_i, (\Phi_j)_{j=1}^N)) |
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Write the LaTeX representation for this image. | Q_{n}^{(q)}(\varphi) = \chi_{n,0}^{(q)} \varphi^0 + \sum\limits_{l=1}^{n} w_{n-l}^{(q)} \varphi^{l}, q=1,2, |
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Write the LaTeX representation for this image. | x _ { 1 } - x _ { 2 } + y _ { 1 } - y _ { 2 } + z _ { 1 } - z _ { 2 } |
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Write the LaTeX representation for this image. | (-1)^n\exp(\psi_n(\tilde{z}))\varphi_\lambda(\tilde{z}) = \varphi_\lambda(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 | 一位留着长发的年轻女性独自站在灰色背景前，她面带微笑，身穿黑色连衣裙，搭配高跟鞋和黑色长裤，脚上是凉鞋风格的时尚单品。她的耳畔挂着精致的耳环，颈间或手腕处可能佩戴了首饰。整体造型简洁而优雅，展现了都市女性的时尚品味。 |
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Provide the LaTeX formula. | G_k:=\sigma(F_k)=\frac{1}{\varkappa_k}\begin{pmatrix}a_k+\sqrt[+]{a_k^2-b^2}\\-b\end{pmatrix}e^{2\pi i k x} |
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Write the LaTeX representation for this image. | \bar p = -\frac{1}{2}\Lambda q + h \sum_{j=1}^s b_j \Big( -\frac{1}{2}\Lambda \dot Q_j \Big) = -\frac{1}{2}\Lambda \bar q, |
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Write the LaTeX representation for this image. | \omega_x + \phi=\frac{1}{2}\ln(4g'\overline{g}')-\ln(1-g\overline{g})~~, |
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Provide the LaTeX formula. | \Psi_j=\Phi_j, 1 \leq j\leq s, \textrm{and}, \Psi_i\subsetneq \Phi_i,s+1\leq i\leq t. |
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Write the LaTeX representation for this image. | (1-\rho^2)f''+\left(\frac{d-1}{\rho}-2\rho\right)f'-\frac{g(f)}{\rho^2}=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
- 推测图片边缘被裁剪掉的元素 | 一位身穿丝袜和高跟鞋的女性坐在地板上。她精心搭配的服饰突显了她的优雅与性感。 |
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Provide the LaTeX formula. | \mathbf f^\mathsf{\prime}(\mathbf x;\mathbf y)=(d_{\mathbf x}\mathbf f) \mathbf y. |
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Write the LaTeX representation for this image. | A=\begin{pmatrix} 2ab & 1 \\ -abab & 0\end{pmatrix} B=\begin{pmatrix} ab+ba & 1 \\ -abba & 0\end{pmatrix} \ . |
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Provide the LaTeX formula. | C_l^\lambda(t)=\sum_{j=0}^{[l/2]}(-1)^j\frac{\Gamma(\lambda+l-j)}{j!\,(l-2j)!\,\Gamma(\lambda)}\,(2t)^{l-2j}, |
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Provide the LaTeX formula. | d e t _ { n } { \hat { M } } = \frac { d e t ( R ^ { 4 } + R ^ { 2 } P ^ { 2 } D ^ { 2 } R _ { + } ^ { 2 } ) } { d e t R _ { 0 } ^ { 4 } } . |
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Provide the LaTeX formula. | T^{\ast}T&=M_{E(|w|^2)}M_{\bar{u}}EM_{u},\\T^{\ast^2}T^2&=M_{|E(uw)|^{2}E(|w|^2)}M_{\bar{u}}EM_{u}. |
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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 | 一位留着棕色长发的年轻女性独自站在简约的白背景下。她身穿无袖连衣裙，搭配裤装，脚踩细带高跟凉鞋，手提手袋，佩戴耳环等配饰，头戴太阳镜。整体造型时尚精致，展现了潮流感与个性魅力。 |
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Provide the LaTeX formula. | \Tilde{\mathcal{A}} = \{ \left<x, \mu_{\Tilde{\mathcal{A}}}(x), \nu_{\Tilde{\mathcal{A}}}(x) \right> \mid x\in\mathbb X \}, |
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Write the LaTeX representation for this image. | \prod _{l=1}^{\min (n,k)}\left\{ \frac{2\eta }{\pi }+\lambda -n-2(k+1-l)\right\} \, \, \, , |
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Provide the LaTeX formula. | \lim_{n\to\infty} p^{(n)}_{t\, \theta^{(p)}_n} (x,y) \;=\;\sum_{k\in S_p} \omega^{(p)}_t (x, k) \; \pi^{(p)}_k(y) \;, |
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Provide the LaTeX formula. | \begin{gather*}\nu_{12}(\nu_{12}-1) =\kappa(x, \nu_1+\nu_2), \nu_{23}(\nu_{23}-1)=\kappa(n, \nu_2+\nu_3).\end{gather*} |
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Write the LaTeX representation for this image. | \begin{aligned} \int_\gamma x_1 dx_2 = 0 \quad\int_\gamma x_1^2 dx_2=0\end{aligned} |
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You are an expert radiographer. Describe accurately what you see in this image. | Longitudinal sonogram (ventral access) of a palpable dorsal nodule. This nodule was not detected by the sonography in the flaccid penis. The sonography in erect penis shows obvious dorsal tunica albuginea thickening at the root of penis. |
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Write the LaTeX representation for this image. | A_{eff} = Re S_{eff} + \int d^4x [\Delta(x) \eta(x) + \Delta_{\mu\nu\alpha\beta}(x) \eta^{\mu\nu\alpha\beta}]. |
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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 | 一位留着长黑发、有着棕色眼睛的年轻女性站在镜头前，她面带微笑凝视着观者，佩戴着耳环和项链等精致珠宝。她身穿一件外套，脚蹬高跟靴子和膝上靴子，同时将太阳镜随意地放在头上。她的穿搭兼具优雅与个性，既展现了女性的魅力，又突出了时尚感。 |
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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 | 一位身穿紧身牛仔裤搭配高跟鞋的女性正坐在椅子上，她的穿搭突出了身材曲线，显得既时尚又迷人。 |
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Recognize all the text in the image. | Educate subscribers about data integration and Big Data and Analytics.
She did say that Rodriguez would be going to a new position at Capital Community College “for some time.
Zoe: *i nod in approval and look at you with a small smile* yeah kevy kev, i guess they are pretty cool.
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Anticipating future requirements, the VA Medical Center staff embarked on proactive planning effort to meet the needs of providing critical healthcare services to a growing veteran population throughout five states and the District of Columbia.
: triglycerides
During voir dire, the juror, a resident of Rome, was asked whether he was "familiar with members of the Toccolano Club."
for your good thoughts, your well wishes, comments and prayers,
Genevieve Cluny as Pilou Berlon
44, solid line); upper 95% confidence limit (*F~IT~* = 0.68, dashed line); lower 95% confidence limit (*F~IT~* = 0.17, dotted line). The relative change in the number of resistant genotypes caused by parasite inbreeding is estimated as in (A) and in (B).
Dadurch wird er im Nachthimmel sichtbar.
Hagar: *grinning.* “Forbidden fruit always tastes the sweetest, my dear. What if there’s a hidden world, untouched by our mundane lives? What if there are secrets waiting to be unraveled?”
require_once 'Zend/Search/Lucene/Document.php';
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Ted Kennedy won the seat in a special election in 1962 after his brother, John F.
” The student accused him of kissing her, hugging her and touching her buttocks. Perlstein said he had been having an “emotional” not “sexual” conversation with her and kissed her on the cheek, but he denied touching her buttocks.
/*
The adult worm allele frequency of each host was randomly selected according to the given underlying allele frequency, *q^W^*, and the degree of parasite genetic differentiation between hosts, . |
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Provide the LaTeX formula. | \Psi^\pm_2(x;z)=\frac{1}{2ik}\begin{pmatrix}\psi^\pm_{12}\\-\bar{u}_x\psi^\pm_{12}+2ik\psi^\pm_{22}\end{pmatrix}, |
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一位身穿黑色丝袜和高跟鞋的女性坐在地板上。她的搭配凸显了修长的腿部线条，展现出一种优雅而又略带性感的风格。 |
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Write the LaTeX representation for this image. | \lim_{p\searrow0}{\frac{\phi(\xi,i,p)-\phi(\xi,i,0)}{p}}=-\log\lambda_i(B_\xi) \,. |
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Write the LaTeX representation for this image. | n_2(k,l)=\max\left\{\left|\bigcup_{i=1}^m(A_i\cup B_i)\right|: (A_1,B_1),\dots,(A_m,B_m) \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 | 一位长发黑发的年轻女性正凝视着镜头，她穿着一件黑色连衣裙，露出双肩，棕色的眼睛显得格外迷人。她的整体造型包括精致的珠宝、耳环以及高跟鞋，嘴唇涂有亮眼的口红，圆形耳环为穿搭增添了时尚感。这位女性以站立姿势展现了全身造型，黑色连衣裙与配饰搭配得当，呈现出优雅而迷人的气质。她的穿搭体现了经典与现代的结合，非常符合时尚模特的风格。 |
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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 | 一位留着黑色短发的年轻女性独自站立，身穿裙子搭配裤装，脚踩高跟鞋，双手举过头顶，佩戴有手链与耳环，面部化有精致妆容，指甲涂有亮色指甲油。她的穿搭兼具时尚感与个性，展现了独特的风格魅力。 |
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Write the LaTeX representation for this image. | \Gamma^{(0)} = \{ \emptyset\}, \Gamma^{(n)} = \{\eta \in \Gamma: |\eta| = n \}, \ \ n\in \mathbb{N}. |
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Provide the LaTeX formula. | 1=\sum_{k\in\mathbb{Z}}\widehat{\psi_{k}}(\xi), \,\,\,\,\,\,\,\,\,\, \forall\xi\in\mathbb{R}\setminus\{0\} |
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Write the LaTeX representation for this image. | \delta R = a\cos\Omega\tau + a^2\eta_1(\tau),\;\;\Omega^2 = \Omega^2_S+a\triangle_1\Omega^2. |
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Write the LaTeX representation for this image. | Q^{\circ}\cap\left(\bigcup_{j=1}^{n}\psi_{j}A_{j}\right)\subseteq M\subseteq Q\cap\left(\bigcup_{j=1}^{n}\psi_{j}A_{j}\right). |
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e ^ { \frac { i } { 2 \pi } \int _ { \Sigma } { d B \wedge A } } = e ^ { i \sum _ { I } 2 m ^ { I } \oint _ { C ^ { I } } A } . |
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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 | 一位身材火辣的亚洲女性身穿蓝色连衣裙和高跟鞋，她的穿搭突显了迷人的曲线，尽显女性魅力。 |
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Provide the LaTeX formula. | [\psi^+_{i,0},\psi^\pm_{j,\pm s^\pm_j}]=0,\ [\psi^-_{i,b_i},\psi^\pm_{j,\pm s^\pm_j}]=0 |
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Write the LaTeX representation for this image. | \left| \phi _ { m i n } \right| ^ { 2 } = \nu ^ { 2 } = \frac { 3 \mu ^ { 2 } } { \lambda } . |
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(\Delta^h_k(\partial_yU Q_{11})_\psi, \Delta^h_k(Q_{12})_\psi)_{L^2}=(\Delta^h_k(\partial_yU Q_{12})_\psi, \Delta^h_k(Q_{11})_\psi)_{L^2}. |
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Write the LaTeX representation for this image. | I_{\gamma, \delta}(0, I_{0, \gamma}(0,z)) + z - I_{0,\gamma}(0,z) = I_{\gamma, \delta}(0, z) |
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Provide the LaTeX formula. | \theta(n+2)=\theta(n)+1+\frac{K_1}{\pi(n-b)}\left(100-\frac{1}{2}\sin4\pi\theta(n)+\frac{O(1)}{n-b}\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 | 一位留着棕色短发的年轻女性独自站在简洁的白背景前。她身穿一件红色连衣裙，搭配高跟鞋和长裤，脚上的黑色鞋履精致而显眼。她的五官立体，眼神专注，整体造型充满现代感，展现了时尚的真实细节与精致美感。 |
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\mathrm{SNR}=\frac{M\displaystyle{\left(\sum_{p=0}^L\sigma_p^2\eta[p]\right)^2}}{N_0\displaystyle{\sum_{p=0}^L\sigma_p^2\eta^2[p]}}. |
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Provide the LaTeX formula. | \left( \prod_{1 \leq i<j\leq k}d(V_i,V_j) \pm \varepsilon \binom k2 \right) \prod_{i=1}^k |V_i|. |
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Write the LaTeX representation for this image. | L = \partial ^ { m } + \sum _ { j = 0 } ^ { m - 2 } U _ { j } \partial ^ { j } |
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Write the LaTeX representation for this image. | \int^\infty_{\gamma_0}\left(\frac{1}{\gamma_0}-\frac{1}{\gamma}\right)f_{\gamma_z}(\gamma)d\gamma=1. |
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Provide the LaTeX formula. | \{ F _ { a } ( \phi , \overline { { \phi } } ) , F _ { b } ( \phi , \overline { { \phi } } ) \} _ { P B } = 0 \quad . |
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Write the LaTeX representation for this image. | \lim_{n\to\infty} P^{\tilde\pi,\omega}_0\big(\mathfrak L_n \in \mathcal U\big) =1. |
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Write the LaTeX representation for this image. | {\hat\phi}({\hat x})=\frac{1}{(2\pi)^d}\int d^dxd^dk\exp[ik_\mu({\hat x}^\mu-x^\mu)]\phi(x). |
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Recognize all the text in the image. | Mia saw what happened. She was scared. She did not want the fire to go out. She liked the fire. It made the room cozy and bright. She ran to her dad, who was in the kitchen. She said, "Dad, dad, Tom sneezed and the fire is going out!"
Raising a piercing shriek—“The vial! the vial!” Gabriel called off the terror-stricken crew from the further hunting of the whale.
Related: 101 Funny Puns
(Font) using `IL2/txr/m/n' instead on input line 6.
New approaches for extending the life of lasers used in a wide variety of applications are under investigation.
Kastair EZ is mainly associated with symptoms and indications-The International Classification of Diseases (ICD)- R03DC03-Montelukast.
Operate with fiscal and organizational sustainability.
The 2018 FIFA World Cup came to a conclusion on Sunday as France posted a 4-2 victory over Croatia to claim their second World Cup title in 20 years and pay out on +700 pre-tournament World Cup championship odds.
Then last year he met the EEO and CPAC office staff and he said they were extremely passionate about helping the Soldiers "Give back".
Simplify ((q**(-8)*q)/q)**(2/15) assuming q is positive.
](pntd.0000211.g006){#pntd-0000211-g006}
Yup. Here are 10 sentences ending with "bread."
w**(-301/15)
![The impact of inbreeding on the relationship between the mean proportion of hosts harbouring microfilariae with one or two copies of allele *Y* and the (assumed) underlying adult worm allele frequency, *q^W^.
Answer: A river
[^1]: Analyzed the data: TC. Contributed reagents/materials/analysis tools: AS RP. Wrote the paper: TC MB.
The mean adult worm burden was estimated from observed microfilarial counts using the functional relationship given in the deterministic model EPIFIL (see original formulation and parameter values in Norman *et al*.
0000211-Snow1]. Other mosquito vectors of *W. bancrofti* have even greater vector competence. For example, up to 32 L3 larvae were recovered from an experimental host after it was bitten by a single *Culex quinquefasciatus* [@pntd. |
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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 | 一位性感的亚洲女性身穿短裙和高跟鞋，这样的搭配凸显了她的身材曲线，尽显妩媚与自信。 |
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Provide the LaTeX formula. | m \frac{d^2 Y^\mu(\tau)}{d\tau^2} = -g \,\mbox{\rm Tr} \{I(\tau)F^{\mu\nu}(Y(\tau)) \} \frac{d Y_\nu(\tau)}{d \tau}, |
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Provide the LaTeX formula. | f(x'):=a(e)\phi(\rho),\qquad\hbox{where }\rho=|x'|\hbox{ and }e=\frac{x'}{|x'|}. |
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||\sum_{j} c_j a_j||_{at} := \left( \inf \sum_{j} |c_j|^p \right)^{1/p}, |
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Write the LaTeX representation for this image. | X _ { 2 } = \lambda _ { \beta } V _ { \alpha } ^ { \beta } \pi ^ { \alpha } , |
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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 | 一位年轻女性独自站立，长发披肩，棕色的头发搭配一件长袖上衣和一条长裙，整体造型优雅而时尚。她面带微笑，眼睛闭合，展现出自信与从容的气质。她的穿搭包括黑色高跟鞋、黑色长裤以及精致的配饰，如耳环和珠宝，指甲涂有亮色指甲油，唇部则涂抹了鲜艳的口红，突显出整体妆容的用心。她的长裙与上衣的搭配相得益彰，展现出对时尚的独特理解，同时耳环的选择也为整体造型增添了亮点。这种穿搭风格既体现了女性的柔美，又不失现代感。 |
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Write the LaTeX representation for this image. | \sum_{i=1}^s \bigl(\ell(n{-}\ell)-|\alpha^i|\bigr) \ =\ (s{-}1)\cdot \ell(n{-}\ell) |
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Write the LaTeX representation for this image. | t = [a:-4 a b:- 21 b^2:6 a b^2:70 b^3:-4 a b^3:-105 b^4 :a b^4:84 b^5:-35 b^6:6 b^7] |
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what is the number in the image? | 15950 |
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Write the LaTeX representation for this image. | \Delta ( F ) = \prod _ { j } \Delta ( t _ { j } ) = F \otimes e + B _ { - } ( F ) \otimes l _ { 1 } + \ldots |
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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 | 一位留着长发的年轻女性独自站立，她闭着眼睛，面带微笑，身穿一件黑色长袖衬衫和红色裤子，脚蹬高跟鞋，双手插兜，佩戴耳环等饰品。她的穿搭展现了时尚感，既个性又引人注目。 |
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Write the LaTeX representation for this image. | L_5 = \frac{1}{2}b_0 =\frac{1}{2k}\ln\left[\frac{-k_2-k}{k_1-k}\cdot\frac{k_1+k}{-k_2+k}\right]. |
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Provide the LaTeX formula. | X_{n+1}=X_n+\frac{\Delta tf(X_n)}{1+\Delta t\|f(X_n)\|}+\sum_{k=1}^{K}\sigma_k\Delta \beta_n^k, |
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What is the setting or environment in which the image takes place? | The image shows a setting where there is a plate of broccoli on a dining table, indicating a mealtime or food preparation environment. |
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Provide the LaTeX formula. | {L}_{M,\partial M}^\bot={L}_{M,\partial M}\cap \ker\widetilde{\omega}_{\partial M}\simeq {L}_{M,\partial M}\cap G^0_{\partial M}. |
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Write the LaTeX representation for this image. | A_\phi = \begin{pmatrix}\cos(2\pi \ell \phi)& \sin(2\pi \ell \phi)\\-\sin(2\pi \ell\phi)& \cos(2\pi \ell\phi)\end{pmatrix} |
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Write the LaTeX representation for this image. | \big\langle p,\,q\big\rangle\,=\,\mathfrak{Re}\big[\,p\overline q\,\big], |
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Write the LaTeX representation for this image. | S=\begin{pmatrix}0&-1\\1&0 \end{pmatrix}, \gamma_2=\begin{pmatrix}1&0\\2&1 \end{pmatrix} \gamma_4=\begin{pmatrix}1&0\\4&1 \end{pmatrix}. |
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Provide the LaTeX formula. | \Lambda (f,g,h)= \iint e^{i\lambda S(x,y)}f(x)g(y)h(x+y)\phi(x,y) dxdy, |
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Write the LaTeX representation for this image. | ^ { ( H ) } T _ { 0 2 } = \frac 1 2 F _ { 2 } F _ { 0 } e ^ { - 2 \Phi } = \frac 1 2 A _ { 2 } F _ { 0 } , |
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Provide the LaTeX formula. | k_{\mathrm{out}} \approx{c_H \;\omega\over g_H} \left\{ \wp\left({1\over r-r_H}\right) - i \pi \; \delta(r-r_H)\right\}. |
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Provide the LaTeX formula. | J(M,T) = \frac{\Lambda}{2\pi^2} - \frac{M}{4\pi}-\frac{T}{2\pi}ln(1-e^{-M/T})\;. |
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Provide the LaTeX formula. | \sum_{n=0}^{\infty} L_n^\delta(y)r^n = (1-r)^{-\delta-1} e^{-\frac{r}{1-r}y}. |
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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 | 一位身穿高跟鞋的女性坐在椅子上，她的优雅姿态彰显了时尚态度。 |
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Write the LaTeX representation for this image. | \frac{1}{\phi_c^2} \left ( \frac{27}{16} \right )^{2/3} \left ( \phi_c^2 -\phi^2 \right )^{4/3} |
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& 2 \Re \int i\bar Q^{(n+1)} W^{(n)} Q_\alpha\,d\alpha + 2n \Re\int i \bar Q^{(n+1)} W^{(n-1)} Q_{\alpha\alpha}\, d\alpha , |
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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 | 一位身穿短裙和高跟鞋的女性，她的穿搭凸显了身材曲线，尽显青春活力与性感魅力。 |
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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 | 一位身穿丝袜和高跟鞋的女性正坐在沙发上，她的装扮凸显了身材曲线，展现出优雅与性感的魅力。 |
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一位年轻女性独自站立，长发及肩，棕色头发搭配棕色眼睛，身穿白色无袖连衣裙，脚踩高跟鞋，手持手袋，耳戴圆环耳饰，整体造型简约优雅，珠宝点缀恰到好处。灰色背景衬托出她的全身姿态，展现出时尚感与自信气质。这款穿搭非常适合展现女性的优雅与现代感。 |
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