[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/116583#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/116583","headline":"\u516c\u5f0f – Wikipedia","name":"\u516c\u5f0f – Wikipedia","description":"\u3053\u306e\u9805\u76ee\u3067\u306f\u3001\u6570\u5b66\u306b\u304a\u3051\u308b\u5f0f\u306b\u3064\u3044\u3066\u8a18\u8ff0\u3057\u3066\u3044\u307e\u3059\u3002\u300c\u516c\u5f0f\u300d\u306e\u8a9e\u7fa9\u306b\u3064\u3044\u3066\u306f\u3001\u30a6\u30a3\u30af\u30b7\u30e7\u30ca\u30ea\u30fc\u306e\u300c\u516c\u5f0f\u300d\u306e\u9805\u76ee\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002 \u6570\u5b66\u306b\u304a\u3044\u3066\u516c\u5f0f\uff08\u3053\u3046\u3057\u304d\uff09\u3068\u306f\u3001\u6570\u5f0f\u3067\u8868\u3055\u308c\u308b\u5b9a\u7406\u306e\u3053\u3068\u3067\u3042\u308b\u3002 \u6bd4\u55a9\u3084\u4fd7\u79f0\u3068\u3057\u3066\u306e\u300c\u516c\u5f0f\u300d\u306f\u300c\u305d\u306e\u4ed6\u300d\u306e\u9805\u306b\u307e\u3068\u3081\u3066\u3044\u308b\u3002 Table of Contents \u6570\u5b66[\u7de8\u96c6]\u7269\u7406\u5b66[\u7de8\u96c6]\u9053\u5177\u3068\u3057\u3066\u306e\u516c\u5f0f[\u7de8\u96c6]\u6697\u8a18\u5b66\u7fd2[\u7de8\u96c6]\u516c\u5f0f\u96c6[\u7de8\u96c6]\u305d\u306e\u4ed6[\u7de8\u96c6]\u6570\u5b66\u516c\u5f0f\u96c6\u306e\u4f8b[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6] \u6570\u5b66[\u7de8\u96c6] \u5c55\u958b\u30fb\u56e0\u6570\u5206\u89e3\u516c\u5f0f: (a+b)2=a2+2ab+b2{displaystyle (a+b)^{2}=a^{2}+2ab+b^{2}} (a+b)(a\u2212b)=a2\u2212b2{displaystyle (a+b)(a-b)=a^{2}-b^{2}} an\u22121=(a\u22121)(an\u22121+an\u22122+\u22ef+a+1){displaystyle a^{n}-1=(a-1)(a^{n-1}+a^{n-2}+cdots +a+1)} (a+b)n=\u2211k=0n(nk)an\u2212kbk(=\u2211k=0nnCkan\u2212kbk){displaystyle (a+b)^{n}=sum _{k=0}^{n}{n choose","datePublished":"2022-03-18","dateModified":"2022-03-18","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/c\/c3\/Wiktfavicon_en.svg\/16px-Wiktfavicon_en.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/c\/c3\/Wiktfavicon_en.svg\/16px-Wiktfavicon_en.svg.png","height":"16","width":"16"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/116583","about":["Wiki"],"wordCount":5077,"articleBody":"\u3053\u306e\u9805\u76ee\u3067\u306f\u3001\u6570\u5b66\u306b\u304a\u3051\u308b\u5f0f\u306b\u3064\u3044\u3066\u8a18\u8ff0\u3057\u3066\u3044\u307e\u3059\u3002\u300c\u516c\u5f0f\u300d\u306e\u8a9e\u7fa9\u306b\u3064\u3044\u3066\u306f\u3001\u30a6\u30a3\u30af\u30b7\u30e7\u30ca\u30ea\u30fc\u306e\u300c\u516c\u5f0f\u300d\u306e\u9805\u76ee\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002\u6570\u5b66\u306b\u304a\u3044\u3066\u516c\u5f0f\uff08\u3053\u3046\u3057\u304d\uff09\u3068\u306f\u3001\u6570\u5f0f\u3067\u8868\u3055\u308c\u308b\u5b9a\u7406\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u6bd4\u55a9\u3084\u4fd7\u79f0\u3068\u3057\u3066\u306e\u300c\u516c\u5f0f\u300d\u306f\u300c\u305d\u306e\u4ed6\u300d\u306e\u9805\u306b\u307e\u3068\u3081\u3066\u3044\u308b\u3002Table of Contents\u6570\u5b66[\u7de8\u96c6]\u7269\u7406\u5b66[\u7de8\u96c6]\u9053\u5177\u3068\u3057\u3066\u306e\u516c\u5f0f[\u7de8\u96c6]\u6697\u8a18\u5b66\u7fd2[\u7de8\u96c6]\u516c\u5f0f\u96c6[\u7de8\u96c6]\u305d\u306e\u4ed6[\u7de8\u96c6]\u6570\u5b66\u516c\u5f0f\u96c6\u306e\u4f8b[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u6570\u5b66[\u7de8\u96c6]\u5c55\u958b\u30fb\u56e0\u6570\u5206\u89e3\u516c\u5f0f:(a+b)2=a2+2ab+b2{displaystyle (a+b)^{2}=a^{2}+2ab+b^{2}}(a+b)(a\u2212b)=a2\u2212b2{displaystyle (a+b)(a-b)=a^{2}-b^{2}}an\u22121=(a\u22121)(an\u22121+an\u22122+\u22ef+a+1){displaystyle a^{n}-1=(a-1)(a^{n-1}+a^{n-2}+cdots +a+1)}(a+b)n=\u2211k=0n(nk)an\u2212kbk(=\u2211k=0nnCkan\u2212kbk){displaystyle (a+b)^{n}=sum _{k=0}^{n}{n choose k}a^{n-k}b^{k}(=sum _{k=0}^{n}{}_{n}{text{C}}_{k}a^{n-k}b^{k})}\u4e8c\u6b21\u65b9\u7a0b\u5f0f ax2+bx+c=0{displaystyle ax^{2}+bx+c=0} \u306e\u89e3\u306e\u516c\u5f0f:x=\u2212b\u00b1b2\u22124ac2a.{displaystyle x={frac {-bpm {sqrt {b^{2}-4ac}}}{2a}}.}\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406:c2=a2+b2{displaystyle c^{2}=a^{2}+b^{2}}a,b,c{displaystyle a,b,c} \u306f\u76f4\u89d2\u4e09\u89d2\u5f62\u306e\u4e09\u8fba\u306e\u9577\u3055\u3002\u305f\u3060\u3057 c{displaystyle c} \u3092\u659c\u8fba\u3068\u3059\u308b\u3002\u3053\u306e\u5b9a\u7406\u304b\u3089\u4e09\u89d2\u95a2\u6570\u306b\u304a\u3051\u308b\u6b21\u306e\u7b49\u5f0f\u3082\u5c0e\u304b\u308c\u308b\u3002cos2\u2061\u03b8+sin2\u2061\u03b8=1{displaystyle cos ^{2}theta +sin ^{2}theta =1}\u30d8\u30ed\u30f3\u306e\u516c\u5f0fS=s(s\u2212a)(s\u2212b)(s\u2212c){displaystyle S={sqrt {s(s-a)(s-b)(s-c)}}}a,b,c{displaystyle a,b,c} \u306f\u4e09\u89d2\u5f62\u306e\u4e09\u8fba\u306e\u9577\u3055\u3002\u3053\u306e\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092 S{displaystyle S} \u3068\u3059\u308b\u3002\u3053\u3053\u3067\u3001s{displaystyle s} \u306f\u534a\u5468\u9577\u3067\u3001\u6b21\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002s=a+b+c2{displaystyle s={frac {a+b+c}{2}}}\u8907\u7d20\u89e3\u6790\u306b\u304a\u3051\u308b\u30aa\u30a4\u30e9\u30fc\u306e\u516c\u5f0f: ei\u03b8=cos\u2061\u03b8+isin\u2061\u03b8{displaystyle e^{itheta }=cos theta +isin theta }\u30b9\u30bf\u30fc\u30ea\u30f3\u30b0\u306e\u516c\u5f0fn!\u223c2\u03c0n(ne)n.{displaystyle n!sim {sqrt {2pi n}}left({n over e}right)^{n}.}\u305f\u3060\u3057\u3001n{displaystyle n} \u306f\u81ea\u7136\u6570\u3067\u3001n!{displaystyle n!} \u306f n{displaystyle n} \u306e\u968e\u4e57\u3092\u8868\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u52a0\u6cd5\u5b9a\u7406\uff08\u52a0\u6cd5\u516c\u5f0f\uff09sin\u2061(\u03b1+\u03b2)=sin\u2061\u03b1cos\u2061\u03b2+cos\u2061\u03b1sin\u2061\u03b2{displaystyle sin(alpha +beta )=sin alpha cos beta +cos alpha sin beta }sin\u2061(\u03b1\u2212\u03b2)=sin\u2061\u03b1cos\u2061\u03b2\u2212cos\u2061\u03b1sin\u2061\u03b2{displaystyle sin(alpha -beta )=sin alpha cos beta -cos alpha sin beta }cos\u2061(\u03b1+\u03b2)=cos\u2061\u03b1cos\u2061\u03b2\u2212sin\u2061\u03b1sin\u2061\u03b2{displaystyle cos(alpha +beta )=cos alpha cos beta -sin alpha sin beta }cos\u2061(\u03b1\u2212\u03b2)=cos\u2061\u03b1cos\u2061\u03b2+sin\u2061\u03b1sin\u2061\u03b2{displaystyle cos(alpha -beta )=cos alpha cos beta +sin alpha sin beta }tan\u2061(\u03b1+\u03b2)=tan\u2061\u03b1+tan\u2061\u03b21\u2212tan\u2061\u03b1tan\u2061\u03b2{displaystyle tan(alpha +beta )={frac {tan alpha +tan beta }{1-tan alpha tan beta }}}tan\u2061(\u03b1\u2212\u03b2)=tan\u2061\u03b1\u2212tan\u2061\u03b21+tan\u2061\u03b1tan\u2061\u03b2{displaystyle tan(alpha -beta )={frac {tan alpha -tan beta }{1+tan alpha tan beta }}}\u4f59\u5f26\u5b9a\u7406\u25b3ABC \u3067 a = BC, b = CA, c = AB, \u03b1 = \u2220CAB, \u03b2 = \u2220ABC, \u03b3 = \u2220BCA \u3068\u3059\u308b\u3068\u304d\u3001a2 = b2 + c2 \u2212 2bc cos \u03b1b2 = c2 + a2 \u2212 2ca cos \u03b2c2 = a2 + b2 \u2212 2ab cos \u03b3\u30d9\u30af\u30c8\u30eb\u89e3\u6790\u306b\u304a\u3051\u308b\u30b9\u30c8\u30fc\u30af\u30b9\u306e\u5b9a\u7406\u222cSrotA\u22c5ndS=\u222e\u2202SA\u22c5ds{displaystyle iint _{S}mathrm {rot} ,{boldsymbol {A}}cdot {boldsymbol {n}}dS=oint _{partial S}{boldsymbol {A}}cdot d{boldsymbol {s}}}\u7269\u7406\u5b66[\u7de8\u96c6]\u7269\u7406\u6cd5\u5247\u3092\u8868\u3057\u305f\u57fa\u790e\u65b9\u7a0b\u5f0f\u304c\u5e83\u304f\u77e5\u3089\u308c\u308b\u3002\u9053\u5177\u3068\u3057\u3066\u306e\u516c\u5f0f[\u7de8\u96c6]  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\uff082021\u5e742\u6708\uff09\u5c0f\u6797\u5e79\u96c4\u4ed6\u7de8 \u300e\u5171\u7acb\u5168\u66f8138 \u6570\u5b66\u516c\u5f0f\u96c6\u300f \u5171\u7acb\u51fa\u7248\u30011970\u5e74\u68ee\u53e3\u7e41\u4e00, \u5b87\u7530\u5ddd\u9288\u4e45, \u4e00\u677e\u4fe1\uff1a\u300c\u5ca9\u6ce2 \u6570\u5b66\u516c\u5f0f\u300d\uff08\u65b0\u88c5\u7248\uff09\u3001\u5ca9\u6ce2\u66f8\u5e97\u30011987\u5e74I\u3000\u300c\u5fae\u5206\u7a4d\u5206\u30fb\u5e73\u9762\u66f2\u7dda\u300d\u3001ISBN9784000055079II\u3000\u300c\u7d1a\u6570\u30fb\u30d5\u30fc\u30ea\u30a8\u89e3\u6790\u300d\u3001ISBN9784000055086III\u3000\u300c\u7279\u6b8a\u51fd\u6570\u300d\u3001ISBN9784000055093Abramowitz, Milton; Stegun, Irene A., eds. (1972), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover Publications, ISBN 978-0-486-61272-0.NIST Digital Library of Mathematical Functions\u3000Bateman Manuscript Project: Higher Transcendental Functions, 3 vols., McGraw Hill 1953\/1955, Krieger 1981.\u3000Bateman Manuscript Project: Tables of Integral Transforms, 2 vols.,   McGraw Hill 1954.Encyclopedia of Special Functions: The Askey-Bateman Project, Cambridge University PressVol.I,   “Univariate Orthogonal Polynomials”, (Ed. Mourad E.H.Ismail), ISBN 9780511979156 (2020).Vol.II,  “Multivariable Special Functions”, (Eds. Tom H. Koornwinder, Jasper V. Stokman),ISBN 9780511777165 (2020).Vol.III, “Hypergeometric and Basic Hypergeometric Functions”, (Ed. Mourad E.H.Ismail) , to be printed.\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki11\/archives\/116583#breadcrumbitem","name":"\u516c\u5f0f – Wikipedia"}}]}]