Bellman\u65b9\u7a0b\u5f0f\u306f\u3060\u3044\u305f\u3044\u8aac\u660e\u304c\u3067\u304d\u305f\u3068\u601d\u3046\u306e\u3067\u3001\u305d\u308c\u3068\u3088\u304f\u4f3c\u305fHamilton-Jacobi\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u8ff0\u3079\u307e\u3057\u3087\u3046\u3002
\n\u300c\u89e3\u6790\u529b\u5b66\u300d\u3068\u3044\u3046\u5206\u91ce\u306e\u8a71\u3067\u3001\u62bd\u8c61\u7684\u306a\u5909\u6570\u306e\u7f6e\u304d\u63db\u3048\u304c\u7d9a\u3044\u3066\u5177\u4f53\u7684\u30a4\u30e1\u30fc\u30b8\u304c\u308f\u304b\u305a\u975e\u5e38\u306b\u308f\u304b\u308a\u306b\u304f\u3044\u3067\u3059\u304c\u3001\u3044\u308d\u3044\u308d\u3044\u3058\u3063\u3066\u3044\u304f\u3046\u3061\u306b\u91cf\u5b50\u529b\u5b66\u3068\u306e\u3064\u306a\u304c\u308a\u304c\u51fa\u3066\u304d\u305f\u308a\u3001Bellman\u65b9\u7a0b\u5f0f\u3068\u540c\u3058\u3082\u306e\u304c\u51fa\u3066\u304d\u305f\u308a\u3057\u3066\u3001\u6df1\u3044\u771f\u7406\u306b\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u3046\u304b\u304c\u308f\u308c\u307e\u3059\u3002
\nwikipedia\u306e\u8aac\u660e\u3082\u308f\u304b\u308a\u3084\u3059\u3044\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3002\u6614\u306e\u5b66\u8005\u304c\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u5225\u306e\u5f62\uff08\u7a4d\u5206\u5f62\uff09\u3067\u8868\u305b\u306a\u3044\u304b\u3092\u3044\u308d\u3044\u308d\u8a66\u3057\u3066\u3044\u305f\u3082\u306e\u304c\u4f53\u7cfb\u5316\u3055\u308c\u305f\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%B3%E2%80%93%E3%83%A4%E3%82%B3%E3%83%93%E6%96%B9%E7%A8%8B%E5%BC%8F
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%B3%E5%8A%9B%E5%AD%A6
\n\u89e3\u6790\u529b\u5b66\u306e\u4ed5\u7d44\u307f\u3092\u4f7f\u3063\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5247\u3001\u904b\u52d5\u91cf\u4fdd\u5b58\u5247\u306a\u3069\u304c\u6570\u5b66\u7684\u306b\u5c0e\u3051\u307e\u3059\u3002\u3053\u308c\u306e\u4e00\u822c\u5316\u3068\u3057\u3066\u30cd\u30fc\u30bf\u30fc\u306e\u5b9a\u7406(Noether’s theorem)\u3068\u3044\u3046\u306e\u304c\u3042\u308a\u307e\u3059\u3002
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%8D%E3%83%BC%E3%82%BF%E3%83%BC%E3%81%AE%E5%AE%9A%E7%90%86
\nBellman\u65b9\u7a0b\u5f0f\u306e\u8a71\u3068\u306f\u3063\u304d\u308a\u3064\u306a\u304c\u308b\u306e\u306f\u3001\u6700\u5c0f\u4f5c\u7528\u306e\u539f\u7406\u3067\u3059\u3002
\nhttps:\/\/ja.wikipedia.org\/wiki\/%E6%9C%80%E5%B0%8F%E4%BD%9C%E7%94%A8%E3%81%AE%E5%8E%9F%E7%90%86
\n\u6628\u65e5\u306e\u8a71\u3067\u3044\u3046\u3068\u3001\u53d6\u308a\u3046\u308b\u4eba\u751f\u7d4c\u8def\u306e\u3046\u3061\u3001\u4f55\u304b\u304c\u6700\u5927\uff08\u307e\u305f\u306f\u6700\u5c0f\uff09\u306b\u306a\u308b\u3082\u306e\u304c\u9078\u3070\u308c\u308b\u3001\u3068\u3044\u3046\u539f\u7406\u3067\u3001\u6628\u65e5\u306e\u8a71\u3067\u306f\u305d\u308c\u304c60\u624d\u6642\u70b9\u3067\u306e\u8caf\u91d1\u3060\u3063\u305f\u308f\u3051\u3067\u3059\u3002
\n\u529b\u5b66\u7684\u306a\u7269\u4f53\u306e\u904b\u52d5\u306b\u3064\u3044\u3066\u306f\u3001\u300c\u4f5c\u7528\u300d\u3068\u3044\u3046\u95a2\u6570\u3092\u6700\u5c0f\u306b\u3059\u308b\u3082\u306e\u304c\u5b9f\u73fe\u3059\u308b\u3001\u3068\u3044\u3046\u5f62\u306b\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u66f8\u304d\u76f4\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002
\n\u89e3\u6790\u529b\u5b66\u306f\u9577\u5e74\u8abf\u3079\u3089\u308c\u3066\u3044\u308b\u306e\u3067\u3001\u3053\u308c\u4ee5\u4e0a\u306e\u5e83\u304c\u308a\u306f\u304a\u305d\u3089\u304f\u51fa\u3066\u3053\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u304c\uff08\uff1f\uff09\u3001\u57fa\u672c\u539f\u7406\u3068\u3057\u3066\u9762\u767d\u3044\u3067\u3059\u3002\u307e\u305f\u3001\u91cf\u5b50\u591a\u4f53\u554f\u984c\u306e\u8fd1\u4f3c\u3084\u5149\u5b66\u3001\u7d4c\u6e08\u5b66\u7b49\u3067\u610f\u5916\u306a\u3068\u3053\u308d\u3067\u4f7f\u3048\u305f\u308a\u3082\u3057\u307e\u3059\u3002\u4e0b\u8a18\u82f1\u8a9e\u306b\u3088\u308c\u3070\u3001\u4e00\u822c\u76f8\u5bfe\u8ad6\u3078\u306e\u5fdc\u7528\u3082\u3042\u308b\u305d\u3046\u3067\u3059\u3002<\/p>\n
\u82f1\u8a9e\u306f https:\/\/en.wikipedia.org\/wiki\/Action_principles \u304b\u3089\u3002
\n“Action principles lie at the heart of fundamental physics, from classical mechanics through quantum mechanics, particle physics, and general relativity.”
\naction principle \uff08\u6700\u5c0f\uff09\u4f5c\u7528\u306e\u539f\u7406\u3000\u3000cf. the law of mass action \u8cea\u91cf\u4f5c\u7528\u5247\uff08mass\u3092\u8cea\u91cf\u3068\u8a33\u3057\u305f\u306e\u306f\u8aa4\u8a33\u3067\u3001\u5927\u8846\u306e\u610f\u5473\u3067\u3059\u3002\u3044\u307e\u306f\u3001\u5316\u5b66\u5e73\u8861\u306e\u6cd5\u5247\u3068\u3044\u3046\u307b\u3046\u304c\u591a\u3044\u3067\u3059\uff09
\nlie at the heart of… \uff5e\u306e\u6838\u5fc3\u306b\u4f4d\u7f6e\u3059\u308b
\nparticle physics \u7d20\u7c92\u5b50\u7269\u7406
\ngeneral relativity \u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6
\n\u201dAction principles apply the calculus of variation to the action.\u201d
\ncalculus of variation \u5909\u5206\u89e3\u6790
\n\u201dThis approach (Newton’s law) to mechanics focuses on a single point in space and time, attempting to answer the question: “What happens next?”.Mechanics based on action principles begin with the concept of action, an energy tradeoff between kinetic energy and potential energy, defined by the physics of the problem.\u201d\u3000\u3000\u203b\u3053\u308c\u306f\u7aef\u7684\u3067\u308f\u304b\u308a\u3084\u3059\u3044\u3067\u3059\u3002
\nmechanics \u529b\u5b66
\n\u201dFor action principles, the stationary point may be a minimum or a saddle point, but not a maximum. Elliptical planetary orbits provide a simple example of two paths with equal action \u2013 one in each direction around the orbit; neither can be the minimum or “least action”.\u201d
\nstationary point \u505c\u7559\u70b9\u3000\uff08\u5fae\u5206\u304c\u30bc\u30ed\u306e\u3068\u3053\u308d\uff09
\nsaddle point \u978d\u70b9\uff08\u3042\u3093\u3066\u3093\uff09\u3000\u99ac\u306e\u978d\u306e\u3088\u3046\u306b\u6a2a\u65b9\u5411\u306f\u4e0b\u306b\u3001\u7e26\u65b9\u5411\u306f\u4e0a\u306b\u5411\u3044\u305f\u66f2\u9762\u306e\u4e2d\u5fc3\u306e\u3053\u3068\u3002
\nelliptical planetary orbits \u6955\u5186\u306e\u60d1\u661f\u8ecc\u9053<\/p>\n","protected":false},"excerpt":{"rendered":"
Bellman\u65b9\u7a0b\u5f0f\u306f\u3060\u3044\u305f\u3044\u8aac\u660e\u304c\u3067\u304d\u305f\u3068\u601d\u3046\u306e\u3067\u3001\u305d\u308c\u3068\u3088\u304f\u4f3c\u305fHamilton-Jacobi\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u8ff0\u3079\u307e\u3057\u3087\u3046\u3002 \u300c\u89e3\u6790\u529b\u5b66\u300d\u3068\u3044\u3046\u5206\u91ce\u306e\u8a71\u3067\u3001\u62bd\u8c61\u7684\u306a\u5909\u6570\u306e\u7f6e\u304d\u63db\u3048\u304c\u7d9a\u3044\u3066\u5177\u4f53\u7684\u30a4\u30e1\u30fc\u30b8\u304c\u308f\u304b\u305a\u975e\u5e38\u306b\u308f\u304b\u308a\u306b\u304f\u3044\u3067\u3059\u304c\u3001\u3044\u308d\u3044\u308d\u3044\u3058\u3063\u3066\u3044\u304f\u3046\u3061\u306b\u91cf\u5b50\u529b\u5b66\u3068\u306e\u3064\u306a\u304c\u308a\u304c\u51fa\u3066\u304d\u305f\u308a\u3001Bellman\u65b9\u7a0b\u5f0f\u3068\u540c\u3058\u3082\u306e\u304c\u51fa\u3066\u304d\u305f\u308a\u3057\u3066\u3001\u6df1\u3044\u771f\u7406\u306b\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u3046\u304b\u304c\u308f\u308c\u307e\u3059\u3002 wikipedia\u306e\u8aac\u660e\u3082\u308f\u304b\u308a\u3084\u3059\u3044\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3002\u6614\u306e\u5b66\u8005\u304c\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u5225\u306e\u5f62\uff08\u7a4d\u5206\u5f62\uff09\u3067\u8868\u305b\u306a\u3044\u304b\u3092\u3044\u308d\u3044\u308d\u8a66\u3057\u3066\u3044\u305f\u3082\u306e\u304c\u4f53\u7cfb\u5316\u3055\u308c\u305f\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002 https:\/\/ja.wikiped…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[42],"tags":[5],"class_list":["post-2064","post","type-post","status-publish","format-standard","hentry","category-tech","tag-tech"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2064","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2064"}],"version-history":[{"count":0,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2064\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}