2025年上海交通大学数学科学学院“AI4Math:Lean4与数学形式化”暑期学校报名通知
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<strong style="box-sizing: border-box;">上海交通大学“AI4Math:Lean4与数学形式化”暑期学校报名通知</strong>
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<span leaf="" style="box-sizing: border-box;">近年来,大语言模型的推理能力,尤其是在数学问题求解和证明中的应用成为一大研究热点。然而,数学对推理的严谨性要求极高,单纯依赖语言模型极易出现幻觉等错误。如何将数学的知识与逻辑融入大语言模型,以消除幻觉、提升推理能力和保证严谨性受到日益增加的关注。过去几年,数学形式化逐渐成为一个被广泛采用的可行途径。目前,数学形式化的主要工具为Lean4等,该语言功能强大,但入门门槛较高,限制了它的普及度。</span>
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<span leaf="" style="box-sizing: border-box;">基于上述背景,上海交通大学数学科学学院机器学习研究所、自然科学研究院,北京大学国际数学研究中心和国际机器学习研究中心拟联合举办“AI4Math:Lean4与数学形式化”暑期学校,以推广Lean4语言和数学形式化,推动AI4Math的发展。本次暑期学校将包含两个专题,分别为</span><strong style="box-sizing: border-box;">专题一:Lean4基础</strong><span leaf="" style="box-sizing: border-box;">和</span><strong style="box-sizing: border-box;">专题二:数值代数形式化</strong><span leaf="" style="box-sizing: border-box;">。</span>
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<strong style="box-sizing: border-box;">组织者:</strong>
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<span leaf="" style="box-sizing: border-box;">罗涛,上海交通大学数学科学学院副教授</span>
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<span leaf="" style="box-sizing: border-box;">梁经纬,上海交通大学自然科学研究院副教授</span>
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<span leaf="" style="box-sizing: border-box;">董彬,北京大学国际数学研究中心教授</span>
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<span leaf="" style="box-sizing: border-box;">文再文,北京大学国际数学研究中心教授</span>
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<strong style="box-sizing: border-box;">专题一: Lean4基础</strong>
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<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">时间:</strong><span leaf="" style="box-sizing: border-box;">2025年7月14 - 20日</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">规模:</strong><span leaf="" style="box-sizing: border-box;">计划招生人数为25人。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; margin: 0px 0px 10px; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box; position: static;">
<section style="box-sizing: border-box;">
<section style="position: static; max-width: 100%; box-sizing: border-box;">
<section style="justify-content: flex-start; display: flex; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">一、报名条件</strong>
</p>
</section>
</section>
</section>
</section>
</section>
<section style="display: contents; box-sizing: border-box;">
<section style="display: contents; position: static; box-sizing: border-box;">
<section style="display: contents; box-sizing: border-box;">
<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.数学或计算机科学等相关专业的本科生或低年级研究生。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.具有较强的数学素养,对数学形式化感兴趣。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.具备一定编程基础的学生优先考虑。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; margin: 0px 0px 10px; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box; position: static;">
<section style="box-sizing: border-box;">
<section style="position: static; max-width: 100%; box-sizing: border-box;">
<section style="justify-content: flex-start; display: flex; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">二、食宿安排</strong>
</p>
</section>
</section>
</section>
</section>
</section>
<section style="display: contents; box-sizing: border-box;">
<section style="display: contents; position: static; box-sizing: border-box;">
<section style="display: contents; box-sizing: border-box;">
<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
</section>
</section>
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</section>
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</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">为</span><strong style="box-sizing: border-box;">非上海地区</strong><span leaf="" style="box-sizing: border-box;">的学生提供住宿补助1000元,</span><strong style="box-sizing: border-box;">为所有同学</strong><span leaf="" style="box-sizing: border-box;">提供餐费补助300元。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; margin: 0px 0px 10px; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box; position: static;">
<section style="box-sizing: border-box;">
<section style="position: static; max-width: 100%; box-sizing: border-box;">
<section style="justify-content: flex-start; display: flex; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">三、课程安排</strong>
</p>
</section>
</section>
</section>
</section>
</section>
<section style="display: contents; box-sizing: border-box;">
<section style="display: contents; position: static; box-sizing: border-box;">
<section style="display: contents; box-sizing: border-box;">
<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">完成分组课题,并进行展示。</span><strong style="box-sizing: border-box;">在学员的意愿基础上,择优选择部分学生进入专题二继续学习</strong><span leaf="" style="box-sizing: border-box;">。</span>
</p>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-wrap: wrap; margin: 0px; padding: 0px; box-sizing: border-box; max-width: 100%;">
<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="position: static; max-width: 100%; box-sizing: border-box;">
<section style="text-align: center; justify-content: center; display: flex; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: inline-block; vertical-align: middle; width: auto; align-self: center; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; margin: 0px; box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 60px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 60px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.4222222" data-w="225" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663455.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: middle; width: auto; align-self: center; flex: 0 0 auto; background-color: rgb(45, 105, 156); padding: 5px 20px; margin: 0px 5px; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="font-size: 17px; color: rgb(255, 255, 255); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">专题二:数值代数与形式化</strong>
</p>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: middle; width: auto; align-self: center; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; transform: perspective(0px); -webkit-transform: perspective(0px); -moz-transform: perspective(0px); -o-transform: perspective(0px); box-sizing: border-box;">
<section style="transform-style: flat; box-sizing: border-box; max-width: 100%; position: static;">
<section style="transform-style: flat; box-sizing: border-box;">
<section style="max-width: 100%; margin: 0px; transform: rotateY(180deg); -webkit-transform: rotateY(180deg); -moz-transform: rotateY(180deg); -o-transform: rotateY(180deg); box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 60px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 60px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.4222222" data-w="225" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663455.png"/>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-wrap: wrap; margin: 0px; padding: 0px; box-sizing: border-box; max-width: 100%;">
<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: center; flex-flow: row; box-sizing: border-box; max-width: 100%; width: 100%; position: static;">
<section style="display: flex; justify-content: center; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: 95%; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="display: inline-block; background-color: rgb(255, 255, 255); height: auto; padding: 15px; border-style: solid; border-width: 1px; border-color: rgb(108, 161, 195); box-sizing: border-box; width: 100%; position: static;">
<section style="box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">时间:</strong><span leaf="" style="box-sizing: border-box;">2025年7月14日 - 2025年8月3日</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">规模:</strong><span leaf="" style="box-sizing: border-box;">招生人数为20人。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; margin: 0px 0px 10px; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box; position: static;">
<section style="box-sizing: border-box;">
<section style="position: static; max-width: 100%; box-sizing: border-box;">
<section style="justify-content: flex-start; display: flex; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box;">
<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">一、报名条件</strong>
</p>
</section>
</section>
</section>
</section>
</section>
<section style="display: contents; box-sizing: border-box;">
<section style="display: contents; position: static; box-sizing: border-box;">
<section style="display: contents; box-sizing: border-box;">
<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
</section>
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.数学或计算机科学等相关专业的二三年级本科生优先考虑。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.有编程基础、数值代数相关基础的学生优先考虑。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.有数学或相关竞赛经历的学生优先考虑。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">4.结课后仍能持续投入时间和精力:积极参与交流讨论,听从导师与助教的安排和指导。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
</section>
</section>
<section style="max-width: 100%; margin: 0px 0px 10px; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
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<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">二、食宿安排</strong>
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<section style="display: contents; position: static; box-sizing: border-box;">
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<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
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<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
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<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">为</span><strong style="box-sizing: border-box;">非上海地区</strong><span leaf="" style="box-sizing: border-box;">的同学提供免费住宿,为</span><strong style="box-sizing: border-box;">所有同学</strong><span leaf="" style="box-sizing: border-box;">提供餐费补助300元/周。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
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<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; position: static;">
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
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<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">三、课程安排</strong>
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<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
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<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.第一阶段(7月14-20日):进行Lean4的学习,完成Lean提供的Mathematics in Lean中10道练习题。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.第二阶段:</span>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">a.(7月21-27日)协助整理数学定理证明的自然言语版本;完成导师指定的数值代数相关的形式化证明。</span>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">b.(7月28日-8月3日)进行数值代数的形式化。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.第三阶段:我们将从完成第二阶段的学员中择优选择10名同学,于8月底集中进行数学形式化工作。具体细节将另行通知。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">注:前两周都设有考核,不达标的同学不能继续下一阶段的学习。</strong>
</p>
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<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 60px; display: inline-block; position: static;">
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<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.4222222" data-w="225" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663455.png"/>
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<section style="display: inline-block; vertical-align: middle; width: auto; align-self: center; flex: 0 0 auto; background-color: rgb(45, 105, 156); padding: 5px 20px; margin: 0px 5px; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
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<section style="font-size: 17px; color: rgb(255, 255, 255); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span style="box-sizing: border-box;"><strong style="box-sizing: border-box;">报名材料与方式</strong></span>
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 60px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 60px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.4222222" data-w="225" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663455.png"/>
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<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<section style="max-width: 100%; display: inline-block; width: 95%; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="display: inline-block; background-color: rgb(255, 255, 255); height: auto; padding: 15px; border-style: solid; border-width: 1px; border-color: rgb(108, 161, 195); box-sizing: border-box; width: 100%; position: static;">
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<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
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<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">一、报名材料</strong>
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<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
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<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.成绩单(教务部门出具)。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.竞赛获奖证书等补充材料。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.个人简历和陈述。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<section style="max-width: 100%; display: inline-block; width: auto; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box; position: static;">
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<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; box-sizing: border-box;">
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; width: 40px; display: inline-block; position: static;">
<section style="max-width: 100%; vertical-align: middle; display: inline-block; line-height: 0; width: 40px; height: auto; box-sizing: border-box;">
<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.6917808" data-w="292" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663513.png"/>
</section>
</section>
</section>
</section>
<section style="display: inline-block; vertical-align: bottom; width: auto; align-self: flex-end; flex: 0 0 auto; min-width: 5%; max-width: 100%; height: auto; padding: 5px 10px; box-sizing: border-box;">
<section style="max-width: 100%; position: static; box-sizing: border-box;">
<section style="text-align: justify; line-height: 1; color: rgb(45, 105, 156); letter-spacing: 2px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">二、报名方式</strong>
</p>
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<section style="text-align: center; margin: 0px; box-sizing: border-box; max-width: 100%;">
<section style="background-color: rgb(108, 161, 195);height: 2px;box-sizing: border-box;">
<svg viewbox="0 0 1 1" style="float: left; line-height: 0; width: 0px; box-sizing: border-box;"></svg>
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<section style="text-align: justify; font-size: 14px; line-height: 2; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.网上报名:</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">通过网址https://wj.sjtu.edu.cn/q/bKSvNqG5填写在线报名表。</span><strong style="box-sizing: border-box;">(注:交大学生也要报名)</strong>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.将报名材料按照报名材料顺序合并转成一个PDF文档,文档命名格式为:</span><strong style="box-sizing: border-box;">“专题一/二+学生姓名+学校名称”</strong><span leaf="" style="box-sizing: border-box;">(如专题一+张三+上海交通大学)。将电子文档发送至邮箱:AI4MathSJTU@163.com,邮件主题命名格式为:`专题一/二+学生姓名+学校名称`。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">注:以邮件收到的报名材料为准,仅在网上报名而不按照要求发送电子材料视为报名无效。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.报名截止日期为2025年6月15日。</span>
</p>
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<p style="text-align: center; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">结业形式</strong>
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<section style="display: inline-block;width: 0px;height: 0px;vertical-align: top;overflow: hidden;padding: 0px;border-style: solid;border-width: 9px 8px 0px;border-color: rgb(45, 105, 157) rgba(255, 255, 255, 0) rgb(251, 133, 129);box-sizing: border-box;">
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.两个专题的学生完成相应的课程任务后可获得结业证书。</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.表现优异的学生将获得组委会颁发的荣誉证书。</span>
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<p style="text-align: center; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">联系方式</strong>
</p>
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<section style="display: inline-block;width: 0px;height: 0px;vertical-align: top;overflow: hidden;padding: 0px;border-style: solid;border-width: 9px 8px 0px;border-color: rgb(45, 105, 157) rgba(255, 255, 255, 0) rgb(251, 133, 129);box-sizing: border-box;">
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">邮箱:AI4MathSJTU@163.com</span>
</p>
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<p style="text-align: center; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">课程大纲</strong>
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<section style="display: inline-block;width: 0px;height: 0px;vertical-align: top;overflow: hidden;padding: 0px;border-style: solid;border-width: 9px 8px 0px;border-color: rgb(45, 105, 157) rgba(255, 255, 255, 0) rgb(251, 133, 129);box-sizing: border-box;">
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">课程时间:2025年7月14日 - 2025年8月3日</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">专题一: </strong><span leaf="" style="box-sizing: border-box;">2025年7月14日 - 2025年7月20日</span>
</p>
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<section style="line-height: 0; box-sizing: border-box; max-width: 100%; position: static;">
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<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.3849246" data-w="995" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814663930.png"/>
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<section style="text-align: justify; font-size: 14px; box-sizing: border-box; max-width: 100%;">
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<strong style="box-sizing: border-box;">专题二: </strong><span leaf="" style="box-sizing: border-box;">2025年7月14日 - 2025年8月3日</span>
</p>
<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">数值代数授课老师:罗涛,梁经纬</span>
</p>
</section>
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<img class="raw-image" style="vertical-align: middle; max-width: 100%; width: 100%; box-sizing: border-box;" data-ratio="0.3695861" data-w="1039" _width="100%" data-s="300,640" crossorigin="anonymous" src="http://prebyrapitest.yunjijiaoyu.club/static/1747814664047.png"/>
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<p style="text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
</p>
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<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">参考资料:</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">1.Lean4安装上手指南:</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">http://faculty.bicmr.pku.edu.cn/~wenzw/formal/docs/#/zh-cn/</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">2.Matrixcookbook:</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">https://www.math.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">3.Mathematics in Lean:</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">https://leanprover-community.github.io/mathematics_in_lean/</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">4.Metaprogramming in Lean:</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">https://leanprover-community.github.io/lean4-metaprogramming-book/</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">5.Theorem proving in Lean4: </span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">https://leanprover.github.io/theorem_proving_in_lean4/</span>
</p>
<p style="word-break: break-all; text-wrap: wrap; margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;">6.ReasLab: https://alpha.reaslab.io/</span>
</p>
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<p style="margin-top: 0px; margin-bottom: 0px; padding: 0px; box-sizing: border-box;">
<span leaf="" style="box-sizing: border-box;"><br style="box-sizing: border-box;"/></span>
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<section style="max-width: 100%; margin: 54px 0% 10px; position: static; box-sizing: border-box;">
<section style="text-align: left; flex-flow: row; box-sizing: border-box; max-width: 100%; width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: 100%; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="border-style: solid; border-width: 2px; border-color: rgb(153, 26, 26); padding: 0px; box-sizing: border-box; width: 100%; position: static;">
<section style="box-sizing: border-box;">
<section style="max-width: 100%; margin: -44px 0% 0px; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box; position: static;">
<svg viewbox="0 0 1 1" style="float:left;line-height:0;width:0;vertical-align:top;"></svg>
</section>
</section>
<section style="max-width: 100%; width: 100%; margin: 0px 0%; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box; width: 100%; position: static;">
<section style="max-width: 100%; width: 100%; box-sizing: border-box;">
<section style="flex-flow: row; box-sizing: border-box; max-width: 100%; width: 100%; position: static;">
<section style="flex-direction: row; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box;">
<section style="flex-direction: row; max-width: 100%; box-sizing: border-box; width: 100%; position: static;">
<section style="display: flex; justify-content: flex-start; flex-direction: row; max-width: 100%; box-sizing: border-box;">
<section style="max-width: 100%; display: inline-block; width: 100%; flex: 0 0 auto; align-self: flex-start; vertical-align: top; box-sizing: border-box;">
<section style="max-width: 100%; box-sizing: border-box; width: 100%; position: static;">
<svg viewbox="0 0 1 1" style="float:left;line-height:0;width:0;vertical-align:top;"></svg>
</section>
</section>
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</section>
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