﻿{"id":3214,"date":"2025-08-20T08:57:24","date_gmt":"2025-08-20T00:57:24","guid":{"rendered":"https:\/\/www.leexinghai.com\/aic\/?p=3214"},"modified":"2025-08-23T10:27:23","modified_gmt":"2025-08-23T02:27:23","slug":"3-7%e5%90%8e%e5%90%91%e4%bc%a0%e6%92%ad%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.leexinghai.com\/aic\/3-7%e5%90%8e%e5%90%91%e4%bc%a0%e6%92%ad%e7%ae%97%e6%b3%95\/","title":{"rendered":"3.7\u540e\u5411\u4f20\u64ad\u7b97\u6cd5"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">\u672c\u8bb2\u5206\u4e3a\u4e24\u4e2a\u90e8\u5206\u3002\u7b2c\u4e00\u90e8\u5206\u8bb2\u89e3\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u7684\u5177\u4f53\u6c42\u89e3\u8fc7\u7a0b\uff08\u94fe\u5f0f\u6c42\u5bfc\u6cd5\uff09\uff1b\u7b2c\u4e8c\u90e8\u5206\u8bb2\u89e3\u66f4\u4e00\u822c\u7684\u795e\u7ecf\u7f51\u7edc\uff08\u795e\u7ecf\u7f51\u7edc\u7684\u77e9\u9635\u65b9\u5f0f\uff09\u3002\u60a8\u53ef\u6839\u636e\u6587\u672b\u5206\u9875\u6309\u94ae\u9009\u62e9\u9700\u8981\u7684\u90e8\u5206\u9605\u8bfb\u3002<\/h3>\n\n\n\n<p>\u68af\u5ea6\u4e0b\u964d\u7b97\u6cd5\u7684\u5177\u4f53\u6c42\u89e3\u8fc7\u7a0b\uff0c\u6216\u79f0 \u94fe\u5f0f\u6c42\u5bfc\u6cd5<\/p>\n\n\n\n<p>\u2235<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mi>E<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo>\u2212<\/mo><mi>Y<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/math>\n\n\n\n<p>\u2234<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>y<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mi>y<\/mi><mo>\u2212<\/mo><mi>Y<\/mi><\/math>\n\n\n\n<p>\u63a5\u7740\u6839\u636e\u504f\u5bfc\u6570\u7684\u94fe\u5f0f\u6c42\u5bfc\u6cd5\u5219\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"367\" height=\"130\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-58.png\" alt=\"\" class=\"wp-image-3232\" style=\"width:128px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-58.png 367w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-58-300x106.png 300w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u7ee7\u7eed\u7528\u94fe\u5f0f\u6c42\u5bfc\u6cd5\u5219\uff1a<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"361\" height=\"117\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-60.png\" alt=\"\" class=\"wp-image-3234\" style=\"width:128px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-60.png 361w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-60-300x97.png 300w\" sizes=\"auto, (max-width: 361px) 100vw, 361px\" \/><\/figure>\n\n\n\n<p>\u6839\u636e\u4e0a\u5f0f\uff0c\u6709\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"466\" height=\"121\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-59.png\" alt=\"\" class=\"wp-image-3233\" style=\"width:192px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-59.png 466w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-59-300x78.png 300w\" sizes=\"auto, (max-width: 466px) 100vw, 466px\" \/><\/figure>\n\n\n\n<p>\u56e0\u4e3a\u5df2\u7ecf\u6709\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"270\" height=\"130\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-56.png\" alt=\"\" class=\"wp-image-3229\" style=\"width:128px\"\/><\/figure>\n\n\n\n<p>\u53c8\u56e0\u4e3ay=\u03c9<sub>1<\/sub>z<sub>1<\/sub>+\u03c9<sub>2<\/sub>z<sub>2<\/sub>+b<sub>3<\/sub><\/p>\n\n\n\n<p>\u6240\u4ee5\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"195\" height=\"120\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-61.png\" alt=\"\" class=\"wp-image-3235\" style=\"width:128px\"\/><\/figure>\n\n\n\n<p>\u540c\u7406\u56e0\u4e3az<sub>1<\/sub>=\u03c6(\u03b1<sub>1<\/sub>)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"296\" height=\"117\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-62.png\" alt=\"\" class=\"wp-image-3236\" style=\"width:138px\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u7efc\u5408\u53ef\u5f97<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"462\" height=\"111\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-63.png\" alt=\"\" class=\"wp-image-3237\" style=\"width:192px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-63.png 462w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-63-300x72.png 300w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/figure>\n\n\n\n<p>\u7ecf\u8fc7\u76f8\u4f3c\u63a8\u5bfc\uff0c\u6709\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"715\" height=\"128\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-64.png\" alt=\"\" class=\"wp-image-3238\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-64.png 715w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-64-300x54.png 300w\" sizes=\"auto, (max-width: 715px) 100vw, 715px\" \/><\/figure>\n\n\n\n<p>\u901a\u8fc7\u4e09\u4e2a\u67a2\u7ebd\u4f4d\u7f6e\u7684\u504f\u5bfc\u6570\u6c42\u51fa\u4e5d\u4e2a\u504f\u5bfc\u6570\uff1a<\/p>\n\n\n\n<p>\u7531\u4e8e\uff1ay=\u03c9<sub>1<\/sub>z<sub>1<\/sub>+\u03c9<sub>2<\/sub>z<sub>2<\/sub>+b<sub>3<\/sub><\/p>\n\n\n\n<p>\u6709\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"457\" height=\"346\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-65.png\" alt=\"\" class=\"wp-image-3239\" style=\"width:224px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-65.png 457w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-65-300x227.png 300w\" sizes=\"auto, (max-width: 457px) 100vw, 457px\" \/><\/figure>\n\n\n\n<p>\u7531\u4e8ea<sub>1<\/sub>=\u03c9<sub>11<\/sub>x<sub>1<\/sub>+\u03c9<sub>21<\/sub>x<sub>2<\/sub>+b<sub>1<\/sub><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"733\" height=\"378\" src=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-66.png\" alt=\"\" class=\"wp-image-3240\" style=\"width:512px\" srcset=\"https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-66.png 733w, https:\/\/www.leexinghai.com\/aic\/wp-content\/uploads\/2025\/08\/image-66-300x155.png 300w\" sizes=\"auto, (max-width: 733px) 100vw, 733px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u603b\u7ed3\uff08\u7b2c1\u90e8\u5206\uff09<\/h2>\n\n\n\n<p>1.\u5bf9\u795e\u7ecf\u7f51\u7edc\u6bcf\u4e00\u5c42\u5404\u4e2a\u795e\u7ecf\u5143\uff0c\u968f\u673a\u9009\u53d6\u76f8\u5e94\u7684\u03c9\uff0cb\u7684\u503c<\/p>\n\n\n\n<p>2.\u8bbe\u7f6e\u76ee\u6807\u51fd\u6570E\uff0c\u4f8b\u5982E=1\/2 (y-Y)<sup>2<\/sup> \u7528\u540e\u5411\u4f20\u64ad\u7b97\u6cd5\u5bf9\u6bcf\u4e00\u4e2a\u03c9\uff0cb\u8ba1\u7b97<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mo>\u548c<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><\/math>\n\n\n\n<p>3.\u7136\u540e\u7528<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>\u03c9<\/mi><mi>n<\/mi><\/msup><mo>\u2212<\/mo><mi>\u03b1<\/mi><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mspace linebreak=\"newline\"><\/mspace><mspace linebreak=\"newline\"><\/mspace><\/math>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>b<\/mi><mi>n<\/mi><\/msup><mo>\u2212<\/mo><mi>\u03b1<\/mi><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><\/math>\n\n\n\n<p>\u66f4\u65b0\u03c9\u548cb\u7684\u503c\u3002<\/p>\n\n\n\n<p>4.\u56de\u52302.\u4e0d\u65ad\u5faa\u73af\uff0c\u76f4\u5230\u6240\u6709<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mspace linebreak=\"newline\"><\/mspace><mspace linebreak=\"newline\"><\/mspace><mo>\u548c<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><\/math>\n\n\n\n<p>\u5f88\u5c0f\u4e3a\u6b62\uff0c\u9000\u51fa\u5faa\u73af\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 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stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><mi>\u03c6<\/mi><mo stretchy=\"false\">(<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p><\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><mi>\u03c6<\/mi><mo stretchy=\"false\">(<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p><\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>\u2212<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><mi>\u03c6<\/mi><mo stretchy=\"false\">(<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p><\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mo>.<\/mo><mo>.<\/mo><mo>.<\/mo><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo>\u2212<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">\u21d2<\/mo><msup><mi>a<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><mi>\u03c6<\/mi><mo stretchy=\"false\">(<\/mo><msup><mi>z<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7f51\u7edc\u5171\u6709l\u5c42<\/li>\n\n\n\n<li>z<sup>(k)<\/sup>,a<sup>(k)<\/sup>,b<sup>(k)<\/sup>\u4e3a\u5411\u91cf\uff0c\u7528z<sub>i<\/sub><sup>(k)<\/sup>,a<sub>i<\/sub><sup>(k)<\/sup>,b<sub>i<\/sub><sup>(k)<\/sup>\u8868\u793a\u5176\u7b2ci\u4e2a\u5206\u91cf<\/li>\n\n\n\n<li>\u8f93\u51fa\u53ef\u4ee5\u662f\u5411\u91cf\uff0c\u7528y<sub>i<\/sub>\u8868\u793a\u7b2ci\u4e2a\u5206\u91cf\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u8bbe\u5bf9\u4e8e\u4e00\u4e2a\u8f93\u5165\u5411\u91cfx\uff0c\u5176\u6807\u7b7e\u4e3ay\uff0c\u5c31\u6709\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mi>M<\/mi><mi>i<\/mi><mi>n<\/mi><mo>\uff1a<\/mo><mi>E<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">\u2225<\/mo><mi>y<\/mi><mo>\u2212<\/mo><mi>Y<\/mi><mo data-mjx-texclass=\"CLOSE\">\u2225<\/mo><\/mrow><mn>2<\/mn><\/msup><\/math>\n\n\n\n<p>\u5148\u63a8\u5230E\u5bf9\u201c\u67a2\u7ebd\u53d8\u91cf\u201d\u7684\u504f\u5bfc\u6570-&gt;\u63a8\u5230\u5bf9\u6240\u6709\u03c9\u548cb\u7684\u504f\u5bfc\u3002<\/p>\n\n\n\n<p>\u8bbe\u7f6e\u67a2\u7ebd\u53d8\u91cf\u4e3a\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msubsup><mi>\u03b4<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><\/math>\n\n\n\n<p>\u6700\u540e1\u5c42\uff08l\u5c42\uff09\u6709\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msubsup><mi>\u03b4<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msub><mi>y<\/mi><mi>i<\/mi><\/msub><\/mrow><\/mfrac><mo>\u22c5<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msub><mi>y<\/mi><mi>i<\/mi><\/msub><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi>y<\/mi><mi>i<\/mi><\/msub><mo>\u2212<\/mo><msub><mi>Y<\/mi><mi>i<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><msup><mrow><mi>\u03c6<\/mi><\/mrow><mo>\u2032<\/mo><\/msup><mo stretchy=\"false\">(<\/mo><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>l<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u90a3\u4e48\u5982\u4f55\u901a\u8fc7m+1\u5c42\u63a8\u5bfc\u7b2cm\u5c42\u5462\uff1f<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msubsup><mi>\u03b4<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><mrow><mstyle displaystyle=\"false\" scriptlevel=\"0\"><munderover><mo data-mjx-texclass=\"OP\">\u2211<\/mo><mrow><mi>j<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mrow><msub><mi>s<\/mi><mrow><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/msub><\/mrow><\/munderover><\/mstyle><\/mrow><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>\u22c5<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><\/math>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mo>=<\/mo><mrow><mstyle displaystyle=\"false\" scriptlevel=\"0\"><munderover><mo data-mjx-texclass=\"OP\">\u2211<\/mo><mrow><mi>j<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mrow><msub><mi>s<\/mi><mrow><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/msub><\/mrow><\/munderover><\/mstyle><\/mrow><msubsup><mi>\u03b4<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>\u22c5<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><\/math>\n\n\n\n<p>\u6709<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>a<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>\u22c5<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>a<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><msubsup><mi>\u03c9<\/mi><mrow><mi>j<\/mi><mi>i<\/mi><\/mrow><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>\u22c5<\/mo><msup><mrow><mi>\u03c6<\/mi><\/mrow><mo>\u2032<\/mo><\/msup><mo stretchy=\"false\">(<\/mo><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p>\u6211\u4eec\u5728\u524d\u9762\u77e5\u9053\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msubsup><mi>\u03b4<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>=<\/mo><mo stretchy=\"false\">[<\/mo><munderover><mo data-mjx-texclass=\"OP\">\u2211<\/mo><mrow><mi>j<\/mi><mo>=<\/mo><mn>1<\/mn><\/mrow><mrow><msub><mi>S<\/mi><mrow><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/msub><\/mrow><\/munderover><msubsup><mi>\u03b4<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><msubsup><mi>\u03c9<\/mi><mrow><mi>j<\/mi><mi>i<\/mi><\/mrow><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo stretchy=\"false\">]<\/mo><mo>\u22c5<\/mo><msup><mrow><mi>\u03c6<\/mi><\/mrow><mo>\u2032<\/mo><\/msup><mo stretchy=\"false\">(<\/mo><msubsup><mi>z<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo stretchy=\"false\">)<\/mo><\/math>\n\n\n\n<p>\u5bb9\u6613\u6c42\u51fa\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>\u03c9<\/mi><mrow><mi>j<\/mi><mi>i<\/mi><\/mrow><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><msubsup><mi>\u03b4<\/mi><mi>j<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><mo>\u22c5<\/mo><msubsup><mi>a<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo>\u2212<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/math>\n\n\n\n<p><\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msubsup><mi>b<\/mi><mrow><mi>i<\/mi><\/mrow><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/mrow><\/mfrac><mo>=<\/mo><msubsup><mi>\u03b4<\/mi><mi>i<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>m<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msubsup><\/math>\n\n\n\n<h2 class=\"wp-block-heading\">\u603b\u7ed3\u4e00\u822c\u60c5\u51b5\u4e0b\u7684\u540e\u5411\u4f20\u64ad\u7b97\u6cd5\u6d41\u7a0b<\/h2>\n\n\n\n<p>\uff081\uff09\u5bf9\u795e\u7ecf\u7f51\u7edc\u6bcf\u4e00\u5c42\u7684\u5404\u4e2a\u795e\u7ecf\u5143\uff0c\u968f\u673a\u9009\u53d6\u76f8\u5e94\u7684\u03c9\uff0cb\u7684\u503c<\/p>\n\n\n\n<p>\uff082\uff09\u524d\u5411\u8ba1\u7b97\uff0c\u5bf9\u4e8e\u8f93\u5165\u7684\u8bad\u7ec3\u6570\u636e\u8ba1\u7b97\u5e76\u4fdd\u7559\u6bcf\u4e00\u5c42\u7684\u8f93\u51fa\u503c\uff0c\u76f4\u5230\u8ba1\u7b97\u51fa\u6700\u540e\u4e00\u5c42\u7684\u8f93\u51fay<\/p>\n\n\n\n<p>\uff083\uff09\u8bbe\u7f6e\u76ee\u6807\u51fd\u6570E\uff0c\u5982<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mi>E<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">\u2225<\/mo><mi>y<\/mi><mo>\u2212<\/mo><mi>Y<\/mi><mo data-mjx-texclass=\"CLOSE\">\u2225<\/mo><\/mrow><mn>2<\/mn><\/msup><\/math>\n\n\n\n<p>\u7528\u540e\u5411\u4f20\u64ad\u7b97\u6cd5\u5bf9\u6bcf\u4e00\u4e2a\u03c9\u548cb\u8ba1\u7b97<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mo>\u548c<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><\/math>\n\n\n\n<p>\uff084\uff09\u5229\u7528\u5982\u4e0b\u8fed\u4ee3\u516c\u5f0f\uff0c\u66f4\u65b0\u03c9\u548cb\u7684\u503c\uff1a<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>\u03c9<\/mi><mi>n<\/mi><\/msup><mo>\u2212<\/mo><mi>\u03b1<\/mi><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mspace linebreak=\"newline\"><\/mspace><mspace linebreak=\"newline\"><\/mspace><\/math>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo>+<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>=<\/mo><msup><mi>b<\/mi><mi>n<\/mi><\/msup><mo>\u2212<\/mo><mi>\u03b1<\/mi><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><\/math>\n\n\n\n<p>\uff085\uff09\u56de\u52302.\u4e0d\u65ad\u5faa\u73af\uff0c\u76f4\u5230\u6240\u6709<\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03c9<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mspace linebreak=\"newline\"><\/mspace><mspace linebreak=\"newline\"><\/mspace><mo>\u548c<\/mo><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>E<\/mi><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>b<\/mi><\/mrow><\/mfrac><mrow><mo stretchy=\"false\">|<\/mo><\/mrow><msup><mi>\u03c9<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/msup><mo>,<\/mo><msup><mi>b<\/mi><mrow><mo stretchy=\"false\">(<\/mo><mi>n<\/mi><mo 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