https://gezhi.wiki/index.php?action=history&feed=atom&title=%E5%88%86%E7%B1%BB%3A%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E4%B8%8E%E5%8A%A8%E5%8A%9B%E7%B3%BB%E7%BB%9F 2026-09-20T07:49:52Z 本wiki上该页面的版本历史 MediaWiki 1.46.0 https://gezhi.wiki/index.php?title=%E5%88%86%E7%B1%BB:%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E4%B8%8E%E5%8A%A8%E5%8A%9B%E7%B3%BB%E7%BB%9F&diff=398&oldid=prev 2026-09-20T02:06:28Z

<p>扩充线性代数、最小二乘、贝叶斯与正态分布，接通几何和建模学习路径</p> <table style="background-color: #fff; color: #202122;" data-mw-interface=""> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="zh-Hans"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">←上一版本</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2026年9月20日 (日) 10:06的版本</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l15">第15行：</td> <td colspan="2" class="diff-lineno">第15行：</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[一阶线性微分方程]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[一阶线性微分方程]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[洛吉斯蒂模型]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[洛吉斯蒂模型]]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[差分方程模型]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[捕食者-猎物模型]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== 与其他分支的联系 ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== 与其他分支的联系 ==</div></td></tr> <!-- diff cache key gezhi_wiki-wiki_:diff:1.41:old-244:rev-398:php=table --> </table>

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<p>重编数学讲解：连贯例题、逐步推导与多幅过程图；更新写作规范</p> <table style="background-color: #fff; color: #202122;" data-mw-interface=""> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="zh-Hans"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">←上一版本</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2026年9月20日 (日) 07:17的版本</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19">第19行：</td> <td colspan="2" class="diff-lineno">第19行：</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>数学的分支不是互相隔绝的盒子；同一词条可能属于多个分类。证明依赖[[逻辑]]，结构计算常借助[[矩阵]]，现实应用需要[[数学建模]]说明假设。进一步阅读可回到[[学科导航]]按问题选择路线。</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>数学的分支不是互相隔绝的盒子；同一词条可能属于多个分类。证明依赖[[逻辑]]，结构计算常借助[[矩阵]]，现实应用需要[[数学建模]]说明假设。进一步阅读可回到[[学科导航]]按问题选择路线。</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">本分类是本站的学习入口，不等同于研究文献的完整细分目录。正文按</del>[[帮助:词条写作标准]]<del style="font-weight: bold; text-decoration: none;">提供定义、推导、算例、反例、历史来源、英文概述与标明 AI 辅助的编者评注。</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">本分类是本站的学习入口，不等同于研究文献的完整细分目录。正文结合具体问题、逐步推导和必要图解，提供定义、算例及参考来源。写作约定见</ins>[[帮助:词条写作标准]]<ins style="font-weight: bold; text-decoration: none;">。</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[分类:数学]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[分类:数学]]</div></td></tr> <!-- diff cache key gezhi_wiki-wiki_:diff:1.41:old-128:rev-244:php=table --> </table>

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<p>扩充双语数学百科：定义条件、证明算例、历史来源与 AI 编者评注；补齐学科导航</p> <p><b>新页面</b></p><div>从变化规律重建随时间演化的状态。<br /> <br /> 英文名称：Differential equations and dynamical systems。<br /> <br /> == 本领域研究什么 ==<br /> 微分方程把未知函数与其变化率联系起来；一阶线性方程提供完整可解的范例，洛吉斯蒂模型展示平衡点、稳定性和增长限制。<br /> <br /> == 从哪里开始 ==<br /> [[微分方程]] → [[一阶线性微分方程]] → [[洛吉斯蒂模型]]<br /> <br /> 先写未知函数、初值、单位与适用区间，再求解；求得公式后代回方程，并比较相线或长期行为。<br /> <br /> == 本站核心词条 ==<br /> * [[微分方程]]<br /> * [[一阶线性微分方程]]<br /> * [[洛吉斯蒂模型]]<br /> <br /> == 与其他分支的联系 ==<br /> 数学的分支不是互相隔绝的盒子；同一词条可能属于多个分类。证明依赖[[逻辑]]，结构计算常借助[[矩阵]]，现实应用需要[[数学建模]]说明假设。进一步阅读可回到[[学科导航]]按问题选择路线。<br /> <br /> 本分类是本站的学习入口，不等同于研究文献的完整细分目录。正文按[[帮助:词条写作标准]]提供定义、推导、算例、反例、历史来源、英文概述与标明 AI 辅助的编者评注。<br /> <br /> [[分类:数学]]</div>

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