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Provide the LaTeX formula. | q _ { i } , { \tilde { q } } _ { i } \sim \sqrt { \mu m _ { i } } \stackrel { m _ { i } \to 0 } { \longrightarrow } 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 | 一位年轻女性穿着高跟鞋的腿部特写照片展示了她对时尚的敏锐把握。她的高跟鞋不仅拉长了腿部线条，还为整体造型增添了优雅与性感的气息。这种搭配方式既展现了自信又突出了身材优势，无疑是都市女性展现魅力的经典选择。 |
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Write the LaTeX representation for this image. | R = (g^{ab} g^{cd} - g^{ad} g^{bc})(\nabla_{a} \nabla_{b} X_{\mu})\nabla_{c} \nabla_{d} X^{\mu} \ , |
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Provide the LaTeX formula. | x=\sum_{m=0}^\infty \sum_{i=0}^{p-1} \frac{a_{mp+i}}{(\beta_0\cdots\beta_{p-1})^m\beta_0\cdots\beta_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 | 一位留着黑色长发的年轻女性独自站立，她身着优雅的连衣裙，脚踩高跟凉鞋，双手佩戴着精致的手镯和耳环，指甲涂上了亮色指甲油，发间挽着一个单侧发髻。她的穿搭充满艺术感，仿佛是经典艺术作品中的时尚模特再现。整体造型既华丽又细腻，展现了年轻女性的独特魅力。 |
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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 | 一位穿着高跟鞋和丝袜的女性正坐在机场长椅上，她的装扮透露出都市女性的精致与优雅。 |
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Write the LaTeX representation for this image. | T \rightarrow \frac { a T - i b } { i c T + d } , a d - b c = 1 ; a , b , c , d \in Z , |
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Provide the LaTeX formula. | Z = \int { \cal D } { ^ + } G { \cal D } { ^ - } G { \cal D } A e ^ { - 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 | 一位年轻女性独自站立，面带微笑望向观者，黑色长发自然垂落，棕色眼眸明亮有神，耳戴精致耳环，身着无袖上衣搭配裤装，脚穿高跟凉鞋。她的穿搭简洁大方，既展现了都市女性的干练气质，又透露出一丝随性洒脱。 |
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Provide the LaTeX formula. | \frac { \partial V _ { a } } { \partial \tau } = \frac 1 2 \epsilon _ { a b c } [ V _ { b } , V _ { c } ] , |
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Provide the LaTeX formula. | \hbox{infl.~char.}(\pi^{Sp(n)\times Sp(1)}_{d,e}) =(d+n,e+(n-1),n-2,\cdots,1)(d-e+1). |
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Write the LaTeX representation for this image. | \tilde W(g) = W(g) + S(\sigma; g)\bigg\vert_{\sigma= - \frac{1}{k}\ln\sqrt{g}} |
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Write the LaTeX representation for this image. | A_{y}^+(x)= a^{\dagger}(\lambda_{y}(x)), A_{y}^-(x) = a(\lambda_{y}(x)), |
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Write the LaTeX representation for this image. | {{\widetilde \lambda}_\Phi \over 32 \pi^2} \ln {\Lambda^2 \over \mu^2} << 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
- 推测图片边缘被裁剪掉的元素 | 一位身穿黑色内衣、脚踩红色高跟鞋的女性正站在轮胎上摆姿势。这种大胆的搭配既前卫又性感，展现了她独特的时尚态度。 |
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Write the LaTeX representation for this image. | \begin{gather*}\Omega_1 =c\ i_X(dx_0\wedge\cdots\wedge dx_{n+1}),\end{gather*} |
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Provide the LaTeX formula. | {\cal W}_{ML}^{(2; se)} (D = 2) =\frac{C_F C_A {\cal A}_C^2}{{16 {\pi}^2}} |
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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 | 一位身穿渔网袜和高跟鞋的女性坐在沙发上。她的搭配既性感又时尚，展现出独特的个人风格。 |
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Write the LaTeX representation for this image. | F_sF_t=\begin{pmatrix}\zeta^2+\zeta^{-2}+1&\ -(\zeta+\zeta^{-1})q^{-1}\\(\zeta+\zeta^{-1})q&-1\end{pmatrix} |
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Provide the LaTeX formula. | |Df^{m}(x)(v)|= |Df^{s}(x)(v)||Df(f^s(x))(v)|\geq \frac{|\xi_{m}(x)-c(\lambda^{m-1}z_0)|}{QdC_d m^2 |w_0-c(z_{0}/\lambda)| }. |
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Provide the LaTeX formula. | \bar { x } = { \frac { x + x ^ { \prime } } { 2 } } , \quad \Delta = x - x ^ { \prime } |
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Describe the content of the picture. | This is a photograph showcasing a city's night view, with the foreground featuring the calm surface of a river, its surface reflecting the lights of the buildings in the background. The buildings in the background are illuminated by lights, with the lights from the windows and the exterior lights creating a dazzling reflection on the water. The buildings have a classical style, with the colors of the lights mainly in warm tones, creating a serene and beautiful night scene. |
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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 | 一位留着棕色和黑色混合长发的年轻女性独自站在灰色背景前，她有着长长的袖子、黑色连衣裙和高跟鞋。她微笑着直视观众，双手交叉在胸前，耳畔戴着耳环，眼睛是棕色的，嘴唇显得格外突出。她的妆容精致，整体造型简洁而时尚，展现出专业时尚模特的独特魅力。 |
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Please write out the expression of the formula in the image using LaTeX format. | x _ { 1 } = 0
,x _ 1 = 0
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D_{\alpha ^{\prime }}W=\overset{\cdot }{W}+\frac{1}{2}\left[ T,W\right] |
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Write the LaTeX representation for this image. | \{ [ R , S , T ] \} : = \{ [ R , S , T ] ^ { J _ { 1 } J _ { 2 } J _ { 3 } } ( \lambda _ { 1 } , \lambda _ { 2 } , \lambda _ { 3 } ) : = |
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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 | 一位留着棕色和黑色短发的年轻女性站在灰色背景前，身穿白色连衣裙，脚蹬高跟鞋，双手自然垂于两侧。她的穿搭简洁大方，展现出时尚感和精致细节。 |
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Write the LaTeX representation for this image. | r=\left(\rho^\nabla \right)^{J,+}-\frac{1}{4}\|N\|^2\omega+4\,\left(N(X,T)\right)^\flat\wedge\left(JN(X,T)\right)^\flat, |
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Write the LaTeX representation for this image. | s \mapsto s^\prime \; , \quad x^\mu (s) \mapsto x^\mu \big(s^\prime (s)\big) \; , |
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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在简单背景前，长发及肩，黑色秀发搭配白色背景显得格外醒目。她面带微笑，穿着一件无袖黑裙，裙子长度适中，展现出优雅的裸露肩膀线条。同时，她还搭配了精致的珠宝首饰，其中包括一对圆形耳环，为整体造型增添了亮点。她的穿搭以黑色为主调，脚下是一双黑色高跟鞋，与黑色裙子和裤子相呼应，展现出简约而时尚的风格。整体造型既展现了女性的柔美气质，又不失现代感，是一次成功的时尚搭配。 |
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Write the LaTeX representation for this image. | 2\gamma z^2_k\sum^{\infty}_{j=1}z_j^{-1}(z_k-z_j)^{-1}=(\gamma-2\alpha)z_k-\gamma(\gamma+2), k=1,2,\cdots, |
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Write the LaTeX representation for this image. | \int_0^T\left\langle \frac{du(t)}{dt}, v(t)\right\rangle\, dt+\int_0^T Q(u(t),v(t))\, dt= 0, |
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Introduce the content of the image. | This is a photo showcasing a typical European-style old town street. The street is paved with cobblestones, flanked by stone-built houses with traditional architectural features. The exterior walls of the houses are made of irregular stones, with wooden doors and windows, and some windows are equipped with iron grilles. The roofs are covered with tiles, and some houses have satellite antennas installed. The street is lined with various plants, adding a touch of vitality to this ancient street. The sky is cloudy, but the light is soft, adding a warm atmosphere to the entire scene. |
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Write the LaTeX representation for this image. | R_{_{\!J}}=F^{21}_{_{\!J}}F^{-1}_{_{\!J}}=e^{2\sigma \otimes h}\otimes e^{-2h\otimes \sigma}~. |
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Write the LaTeX representation for this image. | \mathcal{P}[\varrho]=\frac{1}{2} a \left(\alpha ^2+\gamma ^2\right)^3 P(a,\tau) |
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Provide the LaTeX formula. | \Psi_n^{(a)}(x,y)=\sum_{k=0}^n \begin{bmatrix} n \\k \end{bmatrix} (a;q)_k x^k y^{n-k} |
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Write the LaTeX representation for this image. | H(x,\xi,t)=(4\pi t A)^{-\frac{d}{2}}\exp\left(-Bt-(4tA)^{-1}\left|e^{tS}x-\xi\right|^2\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 | 一位留着长棕色头发的女孩独自站立，她身穿一件带有花卉图案的连衣裙，脚踩高跟鞋，手腕佩戴着手链，耳朵挂着耳环，腕间还戴着一块手表，脸上带着微笑凝视着观者。她的造型展现了时尚模特的风采，穿搭精致且充满细节感。 |
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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 | 一位留着长发的年轻女性独自坐在镜头前，她扎着马尾辫，身穿蓝色衬衫和黑色长袖外套，搭配同色系的裙子，脚蹬高跟靴子，头戴耳环等饰品，嘴角微扬露出笑容，双唇微微张开，眼神直视观众。她的妆容精致，黑发披肩，整体造型兼具时尚感与细节之美。 |
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Provide the LaTeX formula. | \lambda_0 = \frac{\beta}{\delta} , \lambda_1 = -2 \log \delta \, , \lambda_2 = -\frac{\gamma}{\delta} . |
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Recognize text in pictures. | ## Medical Equipment Inspection Checklist\n\nEquipment ID: 74LQ1GHC\n\nModel: Schneider and Sons tT4Q\n\nDepartment: Radiology\n\nInspection Date: 2025-02-11\n\nInspector: Tommie Wintheiser\n\n### Physical Condition\n\n| Checkpoint | Pass | Fail | N/A | Notes |\n| --------------------------- | ---- | ---- | --- | ----- |\n| Equipment housing intact | ✅ | | | |\n| Display screen clear | | | - | |\n| Control buttons functional | ✅ | | | |\n| Power cord undamaged | ✅ | | | |\n| Mounting brackets secure | ✅ | | | |\n| Wheels/casters condition | ✅ | | | |\n| Labels and markings legible | | ❌ | | |\n| Accessories complete | ✅ | | | |\n\n### Electrical Safety\n\n| Checkpoint | Pass | Fail | N/A | Notes |\n| ------------------------- | ---- | ---- | --- | ----- |\n| Ground connection | ✅ | | | |\n| Insulation resistance | ✅ | | | |\n| Leakage current | ✅ | | | |\n| Power supply stable | | | - | |\n| Battery backup functional | ✅ | | | |\n| Circuit breaker operation | ✅ | | | |\n| Surge protection | ✅ | | | |\n| Cable connections secure | ✅ | | | |\n\n### Performance Tests\n\n| Checkpoint | Pass | Fail | N/A | Notes |\n| ---------------------- | ---- | ---- | --- | ----- |\n| Self-test passed | | ❌ | | |\n| Calibration check | ✅ | | | |\n| Alarm systems | ✅ | | | |\n| Backup systems | ✅ | | | |\n| Output accuracy | ✅ | | | |\n| Response time | ✅ | | | |\n| Data storage/retrieval | ✅ | | | |\n| Network connectivity | ✅ | | | |\n| Sensor accuracy | ✅ | | | |\n\n### Overall Status\n\nInspection Result: ❌\n\nNext Inspection Due: 2025-06-17\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 | 一位身穿黑色丝袜和高跟鞋的女性正坐在办公桌上，这样的穿搭凸显了她的优雅与性感。 |
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Provide the LaTeX formula. | c^2=\frac{\epsilon^2}{ab}(\frac{\xi^2}b+\frac{\eta^2}a)+0(\epsilon^2). |
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Provide the LaTeX formula. | D \prod_k \lambda_k^{c_k} \ge \det \left( \Big(\sum_{k=0}^{m+1} c_k \lambda_k \, u_k \otimes u_k \Big)_+ \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 | 一位留着长发的年轻女性独自站在简洁的白背景前。她身穿黑色长袖衬衫，下搭黑色长裤，脚踩高跟鞋。她的头发乌黑亮丽，耳朵上戴着耳环，双手自然地背在身后，略显随意又不失优雅。整体穿搭简约而精致，展现了时尚模特的专业气质。 |
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Write the LaTeX representation for this image. | \tilde q_i = \max \{f_{ij}(p_{ij})\mid (i,j)\in \widetilde E\} (\forall i \in W). |
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Write the LaTeX representation for this image. | \tilde \psi^{-1} & \leq \min(\psi^{-1}, \psi^{-1}_E); \\\| d\tilde \psi^{-1} \| &\leq \| d \psi^{-1} \|. |
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Write the LaTeX representation for this image. | A_Xf(x,y) - rf(x,y)&=0, \enskip x\in C,\\f(x,y)-F(x,y) &= 0, \enskip x\in E \backslash C, |
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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纯白背景前，她身穿一件黄色无袖连衣裙，脚踩高跟凉鞋，一只手叉腰。她的裙子设计简约却精致，突出了她的身材曲线，而高跟鞋则为整体造型增添了优雅气质。她的脸上隐约可见一颗小痣，为她的形象增添了一丝真实感。 |
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Write the LaTeX representation for this image. | \frac { 1 } { k ^ { 2 } + m ^ { 2 } } = \int _ { 0 } ^ { \infty } d s \exp [ - s ( k ^ { 2 } + m ^ { 2 } ) ] . |
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Write the LaTeX representation for this image. | m:= \frac{\mu}{\alpha} = \frac1{\alpha}( w-\beta -\sqrt{(w-\beta)^2-\alpha^2}), |
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Provide the LaTeX formula. | \mathbb{E}[w_i(S,\hat{S}_i)]=\frac{1}{m}\sum\limits_{t=1}^m\mathbb{E}[w_i(S(t),\hat{S}_i(t))] |
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Provide the LaTeX formula. | \displaystyle{ \Pi_{--}(p) } = \displaystyle{ \frac{1}{4\pi} \frac{27 - D}{3} \frac{(p_1)^2 (p_2)^2}{p^2} \, . } |
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Provide the LaTeX formula. | \mathfrak b(m,p) = \sum_{n=m}^{p-1} \, ^t b_s(m,n) \mathfrak b(n,n+1) . |
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Write the LaTeX representation for this image. | L_{kE^\pm}=kL_{E^\pm},g^{L_{kE^\pm}}=kg^{L_{E^\pm}},\qquad\nabla^{L_{kE^\pm}}=k\nabla^{L_{E^\pm}}. |
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Write the LaTeX representation for this image. | {\cal L}_{visible kinetic} = \int d^4 \theta f(Q, Q^\dagger) \Phi \Phi^\dagger \, . |
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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 | 一位身穿渔网袜和高跟鞋的女性正躺在一张床上。她的搭配既性感又时尚，展现了独特的个人风格。 |
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Write the LaTeX representation for this image. | \Sigma_3=\sum\limits_{D\leq d<2D}\sum\limits_{n\in \mathcal{N}(d)}\psi\left(\frac{\sqrt{X}-n}{d}\right)\,. |
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Recognize all the text in the image. | Worms Blast offers a number of gameplay modes. There are numerous full-screen challenges where you face the puzzles alone, as well as a number of head-to-head modes where you play via split screen against another person or the CPU.
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A purchasing violation is when an office prepares intentionally two or more office requisitions to the same vendor when one order combined is greater than $1,500.
FBPase
Zoned by those letters you saw the likeness of three Andes’ summits; from one a flame; a tower on another; on the third a crowing cock; while arching over all was a segment of the partitioned zodiac, the signs all marked with their usual cabalistics, and the keystone sun entering the equinoctial point at Libra.
Do other companies make similiar products that are acceptable?
Her courage and discipline comes from being raised by a family who also happens to be a feared yakuza clan.
We are expecting that Microsoft will announce the date of the release at the E3 gaming expo and there are expectations that they might also end up revealing the price of the console so that people are pretty much equipped to handle the pocket burn when Xbox 2 actually hits the market shelves.
Even more specifically, that means being wary about taking position that might alienate the core supporters of your party, or ‘gettable’ moderates.
Mark Ojakian, president of the Connecticut State Colleges and Universities, said he applauds Toro “for taking prompt and decisive action to make CCSU - and the theatre department in particular - a better, more welcoming learning environment.
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.
Jean-Pierre Rambal as Paul
Image: Just some of the corporate-sponsors behind the unelected, warmongering "think-tank" Brookings Institution which produced the treasonous "Which Path to Persia?" report.
88 N.Y.2d 925 (1996)
El y otros cuatro ninos formaban su curso, asi que en su aula recibian clase todos los alumnos de primero a cuarto curso y de quinto a octavo. |
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Write the LaTeX representation for this image. | \phi_{2M,N+2M}(z;\tau)=\sum_{j=0}^Mf_j(\tau)\mathcal H^j\left(\phi_N(z;\tau)\right). |
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Provide the LaTeX formula. | \Gamma _ { I F } ^ { \phi _ { P } } ( p ) = - i / ( p ^ { 2 } + i \varepsilon ) [ K ( p ) + H ( p ) - i S ^ { I } ( p ) ] . |
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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，长发及肩，棕色的头发随风轻扬，她正微笑着看向镜头，背景简洁纯净。她身着一件无袖连衣裙，搭配圆环耳环和精致的珠宝饰品，展现出优雅的气质。她脚踩高跟凉鞋，整体造型时尚且引人注目。她的棕色眼眸为整个穿搭增添了一抹温暖的气息。这位女性的穿着体现了简约而不失格调的时尚风格，令人印象深刻。 |
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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 | 一位深肤色的年轻女性独自站在简洁的背景下，她有着长长的黑发、棕色的眼睛和鲜艳的红唇。她身穿一件黑色外套，搭配高跟过膝靴子，耳畔挂着夸张的大圈耳环，双手插兜，展现出随性又自信的态度。整体穿搭精致而富有层次感，既凸显了她的独特气质，也展现了时尚感与个性魅力。 |
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Provide the LaTeX formula. | \mathcal E_V(t,1,\nu) = \big( V_1(t,\nu) | \cdots | V_d(t,\nu) \big) \big( V_1(1,\nu) | \cdots | V_d(1,\nu) \big)^{-1} |
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Provide the LaTeX formula. | \varPsi_{j}'(h;d) = h'_{j}\big(\varPsi_{j+1}(h);\varPsi_{j+1}'(h;d)\big) + d_{j}\big(\varPsi_{j+1}(h)\big),j=k,k-1,\dots,1. |
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Write the LaTeX representation for this image. | H_{2,2}=\int_{\frac{3\pi}{2}}^{2\pi}\int_{\frac{1}{2}}^{\frac{3}{2}}\frac{dr d\alpha}{|\sin(\alpha+\varphi)|^{\tau}|re^{i\alpha}+1|^{q}}. |
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Provide the LaTeX formula. | a = 1 \quad \quad n = \left\{ \begin{cases} { 3 } \\ { 7 } \\ \end{cases} \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
- 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。她的搭配凸显了修长的腿部线条，展现了都市女性的干练与魅力。 |
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Provide the LaTeX formula. | (\overline{W},\,\frac{1}{C'U'-\xi}\,W)=V_{00}+\frac{b}{2}\frac{\xi+1}{\xi-1}. |
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Write the LaTeX representation for this image. | P^{AdS}=\overline{R}_{A_{2}}^{A_{1}}\overline{R}_{A_{3}}^{A_{2}}\cdot \cdot\cdot \overline{R}_{A_{1}}^{A_{n}}. |
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Write the LaTeX representation for this image. | {\int_0^{(I_{p-3}\vec{m}+n\vec{e}_1)_i}-\int_0^{(I_{p-3}\vec{m}+n\vec{e}_1-2\vec{m})_i}-\int_0^{2m_i}} |
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Write the LaTeX representation for this image. | \psi(\zeta,\xi)=\sum \kappa_{m_1,m_2,\ldots}\zeta^{m_1}\xi^{m_2}\zeta^{m_3}\xi^{m_4}\ldots |
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Provide the LaTeX formula. | v_1(T_{3,n};x)=m(T_{3,n})~~{\rm and}~~m(t)\leq v_1(t;x)\leq \frac{1}{(1+\epsilon)^{1/(2+(n-1)\sigma)}}m(t) |
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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 | 一位身穿紧身裙搭配丝绸上衣的年轻女性正坐在沙发上，她的高跟鞋优雅地摆放在一旁。整体造型凸显了她修长的身材曲线，展现了都市女性的时尚魅力。 |
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Provide the LaTeX formula. | H_{\phi ,p}=e_{j}(\frac{e_{i}\phi }{|d\phi |_{\ast }^{1-p}})g^{ij}+\phi . |
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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 | 一位留着长棕色头发的女孩独自站在简洁的白色背景下，她微笑着望向观者，眼神温柔，棕色的眼睛闪烁着光芒。她的耳畔挂着精致的耳环，双手插在裤袋里，身姿轻松自在。她穿着高跟鞋和一条合身的裤子，脚上的白色鞋履干净利落，嘴唇微微上扬。整体造型简约而不失优雅，展现了时尚模特的独特魅力。 |
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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 | 一位身穿丝袜搭配高跟鞋的女性正在摆姿势。她的穿搭突显了身材曲线，展现了都市女性的时尚魅力。 |
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Provide the LaTeX formula. | w\Big((n,k)\rightarrow (n+1,m)\Big):= \langle xP_{k}^N , Q_{m}^N \rangle. |
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Write the LaTeX representation for this image. | B=\left (\begin{array}{cc} \mathcal V & \mathcal A\\ \mathcal D & \mathcal V_1(h_3, \mathbf t^3, d) \end{array}\right) |
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Provide the LaTeX formula. | f(t,t_1,t_2,t_3)=1-(t_2-t)(t_3-t_1)(z(t)-z(t_1))^{-1}z'(t_1)(z(t)-z(t_1))^{-1}z'(t)+o((t_2-t)(t_1-t_3)). |
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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 | 一位黑发年轻女性独自微笑，身穿连衣裙，佩戴珠宝与环形耳环，指甲和脚趾甲均涂有亮色指甲油，脚上穿着高跟凉鞋。她的穿搭风格展现了时尚感，细节处理精致且充满活力。整体造型显得优雅而自信，非常适合展现个人魅力的场合。 |
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Write the LaTeX representation for this image. | f_{\mathcal{S}}(T)=\begin{cases}f(T) \, & \, |T|\in \mathcal{S},\\0 \, & \end{cases} |
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一位留着长发的年轻女性独自站在纯白背景前，她微笑着望向观者，棕色的眼睛闪烁着灵动光芒。她的棕色长发自然垂落，搭配一条红色露肩连衣裙，裙子设计简洁却凸显身材曲线。她一只手插在裤袋里，另一只手拎着手提包，脚上是一双高跟凉鞋。此外，她佩戴了耳环等饰品，整体造型兼具时尚感与精致感。这位模特的穿搭展现了都市女性的优雅与随性，既大胆又不失品味。 |
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Provide the LaTeX formula. | s_{\mu; a}^{[ORV]}= \det\left[h^{[ORV]}_{\mu_i-i+j; \tau^{1-j}a}\right], |
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Provide the LaTeX formula. | V _ { v } ( \phi ) = : \mathrm { c o s } [ 2 \pi q _ { v } \beta ^ { 1 / 2 } ( \phi ( z ) + \phi ( { \bar { z } } ) ) ] : |
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A ( s , t ) \sim \sum _ { p o l e s } \frac { s ^ { \alpha ( t ) } } { t - M _ { t } ^ { 2 } } |
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Identify and describe each object in the image in detail. | The image captures a casual gathering of five individuals seated around a wooden table, deeply engrossed in a card game. The room is warmly lit, suggesting an intimate and relaxed atmosphere. The players are attentively examining their cards, indicating a moment of strategic decision-making. The table is scattered with various items, including cans and cups, which adds to the informal setting of the scene. In the background, a television and other household items can be seen, providing context to the setting as a living area. The overall composition of the image conveys a sense of camaraderie and enjoyment among the participants. |
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Write the LaTeX representation for this image. | \begin{gather*}\rho_n:=\rho(v_n) \hbox{and} u_n:=\rho_n*v_n.\end{gather*} |
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Introduce the content of the image. | This is a photo of an indoor restaurant with a vintage style. The restaurant is simply decorated, with a wooden partition wall in the middle, on which hang several decorative paintings. The walls are adorned with several picture frames, and the floor is covered with green carpet. The restaurant is furnished with wooden tables and chairs, with white tablecloths and green tableware on the tables. The room is illuminated by soft natural light, creating a warm and comfortable dining atmosphere. |
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Write the LaTeX representation for this image. | |S|= \sum_{z \in \widetilde{P}} |U_n(z)|= |\widetilde{P}| \times q^{-n}|U_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 | 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，棕色的眼睛闪烁着光芒。她的装扮简约而精致，身着一件粉色连衣裙，搭配高跟鞋和长裤，脚上还佩戴着耳环等饰品。整体造型充满时尚感，展现了女性独特的魅力。 |
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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 | 一位身穿短裙和高跟鞋的女性正姿态撩人地站在床上，她的穿搭凸显了青春活力与性感魅力。 |
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Write the LaTeX representation for this image. | \dot{\pi_x}=i[H_0,\pi_x]=-\omega_c \pi_y, \ \\dot{\pi_y}=i[H_0,\pi_y]=\omega_c \pi_x |
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P f M = \Lambda ^ { 2 N _ { c } + 2 } , M = \frac { m } { \lambda } J \ . |
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Recognize all the text in the image. | Simplify (v**(2/7)/v)/(v*v**(-2/7)*v)*v**4*(v/(v*v/(v**(-8)*v)))/v assuming v is positive.
Simplify (h/h**(-1/11))/h*h*h**(-3/4)*(h**(-2)/h)/(h*h*h**0) assuming h is positive.
download_name = Column("DownloadName", Unicode, nullable=False)
All the major American scientific organization have been warning us about the reality and seriousness of climate change for years.
* Copyright 2000-2009 JetBrains s.r.o.
Moreover, the Kyoto Encyclopedia of Genes and Genomes (KEGG) database was used for functional classification.
Unfortunately, as an industry we remain focused on the wrong things. Instead, we need to think much bigger.
Toro also announced plans to appoint new leadership for the university’s Office of Diversity & Equity and to reorganize the human resources department after evidence showed that administrators for years failed to take proper action on complaints of sexual misconduct.
This reveals a strong deficit of heterozygotes in all three populations.
}
*
// Data holders
The drug brand named Kast contains generic salt-Montelukast and is manufactured by RND Laboratories.
j**(-6)
FOLIOS. Among these I here include the following chapters:—I. The _Sperm Whale_; II. the _Right Whale_; III. the _Fin-Back Whale_; IV. the _Hump-backed Whale_; V. the _Razor Back Whale_; VI. the _Sulphur Bottom Whale_. BOOK I. (_Folio_), CHAPTER I. (_Sperm Whale_).—This whale, among the English of old vaguely known as the Trumpa whale, and the Physeter whale, and the Anvil Headed whale, is the present Cachalot of the French, and the Pottsfich of the Germans, and the Macrocephalus of the Long Words. |
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Describe the content of the image. | This is a photo showcasing a historic stone bridge spanning across a tranquil river. The bridge is composed of multiple arches, with a sturdy structure and a deep brown hue. The river water is calm, reflecting the colors of the sky and the bridge. On the bridge, several pedestrians are walking, enjoying the surrounding natural beauty. The background features autumn trees, their leaves presenting a rich array of yellow and green hues, adding a touch of seasonal color to the scene. The sky is clear, with a few white clouds leisurely drifting by. |
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Provide the LaTeX formula. | \alpha ^ { 2 } = \frac { 1 } { l _ { + } ^ { 2 } } - \frac { 1 } { l _ { - } ^ { 2 } } \Delta M = ( M _ { -- } M _ { + } ) \ . |
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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纯白背景前。她身穿黑色露肩连衣裙，搭配高跟黑鞋，裙子为无袖设计，展现出修长的身形。她的耳朵佩戴着耳环，黑色长裤从背后隐约可见，整体穿搭简约而精致。作为时尚模特，她回眸的姿态充满魅力，给人留下深刻印象。 |
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Provide the LaTeX formula. | |x(\tau) -x(\sigma)| = |X(\tau) -X(\sigma)| \le \int_\sigma^\tau |\dot{X}(t)| dt \lesssim \int_{\sigma}^\tau \delta(t)dt. |
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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、黑眼睛的年轻女性站在纯白背景前，身着露肩款式的修身裙，搭配高跟凉鞋和手拿包，脚趾和指甲涂有鲜艳的指甲油。她佩戴了耳环和珠宝，整体造型精致且富有细节感。这是一位展现都市时尚风格的模特，其穿搭突出了身材曲线，同时兼具优雅与个性。 |
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