{"id":5172,"date":"2024-11-26T11:27:10","date_gmt":"2024-11-26T03:27:10","guid":{"rendered":"https:\/\/nullthought.net\/?p=5172"},"modified":"2025-12-10T14:08:58","modified_gmt":"2025-12-10T06:08:58","slug":"%e6%ac%a7%e6%8b%89%ef%bc%88euler%ef%bc%89%e4%b8%8e%e6%8b%89%e6%a0%bc%e6%9c%97%e6%97%a5%ef%bc%88lagrange%ef%bc%89%e4%b9%8b%e9%97%b4%e7%9a%84%e4%b8%80%e5%88%99%e8%bd%b6%e4%ba%8b","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=5172","title":{"rendered":"\u6b27\u62c9\uff08Euler\uff09\u4e0e\u62c9\u683c\u6717\u65e5\uff08Lagrange\uff09\u4e4b\u95f4\u7684\u4e00\u5219\u8f76\u4e8b"},"content":{"rendered":"\n

\u770b\u5230\u4e00\u5219\u8f76\u4e8b\uff0c\u5173\u4e8e\u6570\u5b66\u5bb6\u6b27\u62c9\uff08Euler<\/a><\/strong>\uff09\u4e0e\u62c9\u683c\u6717\u65e5\uff08Lagrange<\/a><\/strong>\uff09\u3002\u62c9\u683c\u6717\u65e5\u572819\u5c81\u65f6\u5199\u4fe1\u7ed9\u6b27\u62c9\uff0c\u6982\u8ff0\u4e86\u4ed6\u6240\u505a\u7684\u4e00\u4e9b\u5de5\u4f5c\u3002\u800c\u6b27\u62c9\u5df2\u7ecf\u5f97\u51fa\u4e86\u76f8\u540c\u7684\u7ed3\u8bba\uff0c\u4ed6\u56de\u590d\u8bf4\uff1a\u201c\u6211\u81ea\u5df1\u4e5f\u5f97\u51fa\u4e86\u8fd9\u4e2a\u7ed3\u8bba\u3002\u4e0d\u8fc7\uff0c\u6211\u51b3\u5b9a\u4e0d\u53d1\u8868\uff0c\u4ee5\u4fbf\u8ba9\u4f60\u83b7\u5f97\u5e94\u5f97\u7684\u8ba4\u53ef\u3002\u201d<\/p>\n\n\n\n

\"\"
Source: @fermatslibrary<\/a><\/strong> @elonmusk<\/a><\/strong><\/figcaption><\/figure>\n\n\n\n

\u8fd9\u4e2a\u5c0f\u6545\u4e8b\u771f\u5b9e\u5417\uff1fChatGPT\u7684\u56de\u7b54\uff1a<\/p>\n\n\n\n

\n

\u56fe\u4e2d\u6240\u63cf\u8ff0\u7684\u6545\u4e8b\u662f\u4e00\u4e2a\u6d41\u884c\u7684\u8f76\u4e8b\uff0c\u5e38\u88ab\u7528\u6765\u8bf4\u660e\u6570\u5b66\u5bb6\u4e4b\u95f4\u7684\u6177\u6168\u548c\u76f8\u4e92\u652f\u6301\uff0c\u7279\u522b\u662f\u6b27\u62c9\u5728\u62c9\u683c\u6717\u65e5\u804c\u4e1a\u751f\u6daf\u4e2d\u6240\u626e\u6f14\u7684\u5bfc\u5e08\u89d2\u8272\u3002\u7136\u800c\uff0c\u6ca1\u6709\u76f4\u63a5\u7684\u5386\u53f2\u6587\u732e\u80fd\u591f\u8bc1\u5b9e\u6b27\u62c9\u548c\u62c9\u683c\u6717\u65e5\u4e4b\u95f4\u786e\u6709\u8fd9\u6837\u7684\u8bdd\u8bed\u4ea4\u6d41\u3002<\/p>\n\n\n\n

\u786e\u5b9e\u7684\u5386\u53f2\u4e8b\u5b9e\u662f\uff0c\u7ea6\u745f\u592b-\u8def\u6613\u00b7\u62c9\u683c\u6717\u65e5\u572819\u5c81\u65f6\uff0c\u5728\u6570\u5b66\u4e0a\u505a\u51fa\u4e86\u91cd\u8981\u8d21\u732e\uff0c\u5f15\u8d77\u4e86\u5f53\u65f6\u4f1f\u5927\u6570\u5b66\u5bb6\u4e4b\u4e00\u7684\u83b1\u6602\u54c8\u5fb7\u00b7\u6b27\u62c9\u7684\u6ce8\u610f\u3002\u62c9\u683c\u6717\u65e5\u5c06\u4ed6\u5173\u4e8e\u53d8\u5206\u6cd5\u7684\u5de5\u4f5c\u5bc4\u7ed9\u4e86\u6b27\u62c9\uff0c\u6b27\u62c9\u7684\u786e\u975e\u5e38\u652f\u6301\u4ed6\u3002\u4ed6\u8ba4\u53ef\u4e86\u62c9\u683c\u6717\u65e5\u7684\u5929\u8d4b\uff0c\u5e76\u5e2e\u52a9\u4ed6\u5411\u66f4\u5e7f\u6cdb\u7684\u6570\u5b66\u754c\u4ecb\u7ecd\uff0c\u4f46\u56fe\u4e2d\u63cf\u8ff0\u7684\u786e\u5207\u63aa\u8f9e\u5f88\u53ef\u80fd\u662f\u88ab\u5938\u5927\u7684\u3002<\/p>\n\n\n\n

\u53ef\u4ee5\u80af\u5b9a\u7684\u662f\uff0c\u6b27\u62c9\u786e\u5b9e\u5e2e\u52a9\u4e86\u50cf\u62c9\u683c\u6717\u65e5\u8fd9\u6837\u7684\u5e74\u8f7b\u6570\u5b66\u5bb6\uff0c\u5e76\u7ed9\u4e86\u4ed6\u4eec\u5c55\u793a\u624d\u534e\u7684\u673a\u4f1a\uff0c\u901a\u5e38\u907f\u514d\u7528\u81ea\u5df1\u5de8\u5927\u7684\u5f71\u54cd\u529b\u76d6\u8fc7\u4ed6\u4eec\u7684\u5de5\u4f5c\u3002
——
The story depicted in the image is a popular anecdote often shared to illustrate the generosity and support that mathematicians can show toward one another, particularly the mentorship role that Euler played in Lagrange’s career. However, there is no direct historical documentation verifying this exact dialogue between Euler and Lagrange.<\/p>\n\n\n\n

What is historically accurate is that Joseph-Louis Lagrange, at the age of 19, made significant contributions to mathematics that caught the attention of Leonhard Euler, who was one of the greatest mathematicians of that era. Lagrange sent Euler his work on the calculus of variations, and Euler was indeed very supportive. He recognized Lagrange’s talents and helped introduce him to the wider mathematical community, but the precise wording shown in the image is likely apocryphal or embellished.<\/p>\n\n\n\n

It is well documented that Euler was instrumental in helping young mathematicians like Lagrange and gave them opportunities to shine in their own right, often refraining from overshadowing their work with his considerable influence.<\/p>\n<\/blockquote>\n\n\n\n

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[…]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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