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        "quote": "\n\n> [!definition] 定义 · $S$ 的临界点\n>\n> 路径 $\\gamma$ 是泛函 $S[\\gamma]$ 的[<u class=\"concept-term\" data-concept-reference=\"concepts/calculus/critical-point-of-a-functional\" data-concept-identity=\"urn:uuid:224e68d3-89ec-4082-94fa-986f333f6ac4\" data-concept-route=\"/concept-identities#concept-224e68d3-89ec-4082-94fa-986f333f6ac4\" id=\"first-b171dfa376a348885515-zh\">临界点(critical point)</u>](../../../../../concepts/calculus/critical-point-of-a-functional)，若\n>\n> $$\n> \\delta S(\\gamma)\\equiv\\left.\\frac{d}{ds}S(\\gamma_s)\\right|_{s=0}=0,\n> $$\n>\n> 其中 $\\gamma_s:[t_1,t_2]\\to\\mathbb R^d$ 是由 $s\\in(-\\epsilon,\\epsilon)$ 参数化的光滑路径族，且 $\\gamma_0=\\gamma$。\n",
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        "quote": "\n\n> [!definition] Definition · Critical point for $S$\n>\n> A path $\\gamma$ is a [<u class=\"concept-term\" data-concept-reference=\"concepts/calculus/critical-point-of-a-functional\" data-concept-identity=\"urn:uuid:224e68d3-89ec-4082-94fa-986f333f6ac4\" data-concept-route=\"/concept-identities#concept-224e68d3-89ec-4082-94fa-986f333f6ac4\" id=\"first-b171dfa376a348885515-en\">critical point</u>](../../../../../concepts/calculus/critical-point-of-a-functional) of $S[\\gamma]$ if\n>\n> $$\n> \\delta S(\\gamma)\\equiv\\left.\\frac{d}{ds}S(\\gamma_s)\\right|_{s=0}=0,\n> $$\n>\n> where $\\gamma_s:[t_1,t_2]\\to\\mathbb R^d$ is a smooth family of paths parametrized by $s\\in(-\\epsilon,\\epsilon)$, with $\\gamma_0=\\gamma$.\n",
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