[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/15814#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/15814","headline":"\u4e57\u7b97 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","name":"\u4e57\u7b97 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 3\u30fb4 = 12\u3001\u3064\u307e\u308a\u300112\u30c9\u30c3\u30c8\u306f4\u5217\u306e4\u5217\uff08\u307e\u305f\u306f3\u3064\u306e\u5217\uff09\u3067\u7de8\u6210\u3067\u304d\u307e\u3059\u3002 \u4e57\u7b97 -2\u3064\u306ergrute\u52b9\u679c\u306f\u30014\u3064\u306e\u57fa\u672c\u7684\u306a4\u3064\u306e1\u3064\u3067\u3042\u308a\u3001\u7b97\u8853\u30a2\u30af\u30b7\u30e7\u30f3\u306e\u8ffd\u52a0\u3001\u6e1b\u7b97\u3001\u9664\u7b97\u306b\u52a0\u3048\u3066\u3002\u3053\u308c\u306f\u3001\u81ea\u5206\u81ea\u8eab\u306b\u8981\u7d20\u3092\u7e70\u308a\u8fd4\u3057\u8ffd\u52a0\u3059\u308b\u3053\u3068\u306e\u4e00\u822c\u5316\u3067\u3059\u3002\u4e57\u7b97\u7d50\u679c\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u88fd\u54c1 \u305d\u3057\u3066\u3001\u5897\u6b96\u3057\u305f\u8981\u7d20\u306f\u3067\u3059 \u8981\u56e0 \u3001\u6700\u521d\u306e\u8981\u56e0\u306f\u6642\u3005\u547c\u3070\u308c\u307e\u3059 \u88ab\u4e57\u6570 \u3001\u9ebb\u85ac – \u4e57\u6570 \u3002 \u4f8b\u3048\u3070\uff1a 3 de 4 =","datePublished":"2021-04-15","dateModified":"2021-04-15","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?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\/b\/b3\/Three_by_Four.svg\/220px-Three_by_Four.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b3\/Three_by_Four.svg\/220px-Three_by_Four.svg.png","height":"183","width":"220"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/15814","wordCount":10740,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 3\u30fb4 = 12\u3001\u3064\u307e\u308a\u300112\u30c9\u30c3\u30c8\u306f4\u5217\u306e4\u5217\uff08\u307e\u305f\u306f3\u3064\u306e\u5217\uff09\u3067\u7de8\u6210\u3067\u304d\u307e\u3059\u3002 \u4e57\u7b97 -2\u3064\u306ergrute\u52b9\u679c\u306f\u30014\u3064\u306e\u57fa\u672c\u7684\u306a4\u3064\u306e1\u3064\u3067\u3042\u308a\u3001\u7b97\u8853\u30a2\u30af\u30b7\u30e7\u30f3\u306e\u8ffd\u52a0\u3001\u6e1b\u7b97\u3001\u9664\u7b97\u306b\u52a0\u3048\u3066\u3002\u3053\u308c\u306f\u3001\u81ea\u5206\u81ea\u8eab\u306b\u8981\u7d20\u3092\u7e70\u308a\u8fd4\u3057\u8ffd\u52a0\u3059\u308b\u3053\u3068\u306e\u4e00\u822c\u5316\u3067\u3059\u3002\u4e57\u7b97\u7d50\u679c\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u88fd\u54c1 \u305d\u3057\u3066\u3001\u5897\u6b96\u3057\u305f\u8981\u7d20\u306f\u3067\u3059 \u8981\u56e0 \u3001\u6700\u521d\u306e\u8981\u56e0\u306f\u6642\u3005\u547c\u3070\u308c\u307e\u3059 \u88ab\u4e57\u6570 \u3001\u9ebb\u85ac –  \u4e57\u6570 \u3002 \u4f8b\u3048\u3070\uff1a 3 de 4 = 4 + 4 + 4 = 12\u756a\u76ee \u3001 {displaystyle 3cdot 4 = 4+4+4 = 12\u3001} \u6570\u5b573\u30684\u306f\u8981\u56e0\u3067\u3042\u308a\u300112\u306f\u88fd\u54c1\u3067\u3059\u3002\u4e0a\u8a18\u306f\u30014\u3064\u306e\u8981\u7d20\u306e3\u3064\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u4e00\u7dd2\u306b12\u500b\u306e\u8981\u7d20\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u4e0a\u8a18\u306e\u5404\u30b0\u30eb\u30fc\u30d7\u304b\u3089\u30011\u3064\u306e\u8981\u7d20\u3092\u9806\u756a\u306b\u9078\u629e\u3067\u304d\u308b\u305f\u3081\u30013\u3064\u306e\u8981\u7d20\u3092\u542b\u30804\u3064\u306e\u65b0\u3057\u3044\u30b0\u30eb\u30fc\u30d7\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002 4 de 3 = 3 + 3 + 3 + 3 = 12\u756a\u76ee\u3002 {displaystyle 4cdot 3 = 3+3+3+3 = 12\u3002} \u3053\u306e\u4e0a 3 de 4 = 4 de 3 \u3001 {displaystyle 3cdot 4 = 4cdot 3\u3001} \u3053\u308c\u306f\u4e00\u822c\u7684\u306b\u4e00\u822c\u7684\u306b\u547c\u3073\u51fa\u3055\u308c\u307e\u3059 \u4ea4\u4e92 \u3002\u305f\u3060\u3057\u3001\u3053\u306e\u7279\u6027\u3092\u6301\u305f\u306a\u3044\u4e57\u7b97\u3068\u547c\u3070\u308c\u308b\u30a2\u30af\u30b7\u30e7\u30f3\u304c\u3042\u308b\u3053\u3068\u3092\u5ff5\u982d\u306b\u7f6e\u3044\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff08\u3055\u3089\u306b\u53c2\u7167\uff09\u3002 \u81ea\u7136\u6570\u306b0\u304b\u308910\u306e\u56e0\u5b50\uff08\u3064\u307e\u308a\u3001\u5c0f\u6570\u70b9\u4ee5\u4e0b\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u30d9\u30fc\u30b9\uff09\u3092\u639b\u3051\u308b\u3053\u3068\u306f\u3001\u5c0f\u5b66\u6821\u306e\u6700\u521d\u306e\u30af\u30e9\u30b9\u3067SO -Called\u306e\u5f62\u3067\u5b66\u7fd2\u3057\u307e\u3059 \u4e57\u7b97\u30d7\u30ec\u30fc\u30c8 \u3002\u30bc\u30ed\u306e\u7d50\u679c\u3068\u3057\u3066\u30bc\u30ed\u306e\u7d50\u679c\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\uff08\u3064\u307e\u308a\u3001\u30bc\u30ed\u306f\u5438\u53ce\u3059\u308b\u5897\u6b96\u306e\u8981\u7d20\u3067\u3059\uff09\u3002\u540c\u69d8\u306b\u3001\u4efb\u610f\u306e\u6570\u306b\u4e57\u7b97\u3055\u308c\u3066\u3053\u306e\u6570\u5024\u304c\u4e0e\u3048\u3089\u308c\u307e\u3059\uff08\u3064\u307e\u308a\u30011\u3064\u306f\u4e57\u7b97\u306e\u4e2d\u7acb\u8981\u7d20\u3067\u3059\uff09\u3002   Table of Contents\u4f8b [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b5\u30a4\u30f3 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5b8c\u6210\u3057\u305f\u6570\u306e\u8981\u56e0\u306e\u88fd\u54c1 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Shaolin Monks\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u305f\u6570\u5b57\u306e\u4e57\u7b97 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f8b [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u66f8\u304b\u308c\u305f\u4e57\u7b97\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u4f8b\u3067\u8aac\u660e\u3059\u308b\u306e\u304c\u6700\u3082\u7c21\u5358\u3067\u3059\u3002\u6570\u5b57\u306e\u7a4d\u3092\u8a08\u7b97\u3057\u307e\u3059 105 {displaystyle105}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u79c1 18\u3002 {displayStyle 18.} \u7d71\u4e00\u3001\u6570\u5341\u3001\u6570\u767e\u306a\u3069\u3092\u610f\u5473\u3059\u308b\u6570\u5024\u304c1\u3064\u306e\u5217\u306b\u3042\u308b\u3088\u3046\u306b\u3001\u4ed6\u306e\u6570\u5b57\u306e1\u3064\u3092\u5225\u306e\u4e0b\u306b\u4fdd\u5b58\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff08\u6b63\u78ba\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff1a\u4e21\u65b9\u306e\u6570\u5b57\u306e\u6570\u3082\u53f3\uff09\uff1a 105\u22c518{displaystyle {begin {matrix} && 1\uff060\uff065 \\ cdot && && 1\uff068 \\ hline {} end {matrix}}}} \u305d\u306e\u5f8c\u3001\u500b\u3005\u306e\u6570\u5024\u304c\u639b\u3051\u3089\u308c\u307e\u3059 [a] \u305d\u3057\u3066\u3001\u5f7c\u306f\u9069\u5207\u306a\u4f4d\u7f6e\u3067\u4ed6\u65b9\u306e\u4e0b\u306b\u66f8\u3044\u3066\u3044\u307e\u3059\uff1a\u6570\u5b57\u306e\u4f4d\u7f6e\u304c\u53f3\u304b\u3089\u30bc\u30ed\u304b\u3089\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3057\u305f\u5834\u5408\u30012\u6841\u306e\u7a4d\u306e\u6570\u3068\u7a4d\u306e\u6570\u306f\u3001\u4e57\u7b97\u6570\u30681\u3064\u306e\u5c0f\u3055\u3044\u4f4d\u7f6e\u306e\u5408\u8a08\u3067\u3042\u308b\u4f4d\u7f6e\u306b\u4fdd\u5b58\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\uff08\u901a\u5e38\u306f\u30bc\u30ed\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff09\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\uff082\u756a\u76ee\u306e\u6570\u5b57\u306e\u9069\u5207\u306a\u6570\u304b\u3089\u6700\u521d\u306e\u6570\u5b57\u306e\u6b21\u306e\u6570\u5b57\u3092\u639b\u3051\u308b\uff09\uff1a        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4105\u22c51840(=8\u22c55)+0(=8\u22c50)+8(=8\u22c51)+5(=1\u22c55)+0(=1\u22c50)+1(=1\u22c51)1890{displaystyle {begin {matrix} && 1\uff060\uff065 \\ cdot && && 1\uff068 \\ hline && 4\uff060\uff060\uff06; scriptstyle {\uff08= 8cdot 5\uff09} \\+&& 0 &&; scriptStyle {\uff08= 8cdot 0\uff09} \\+\uff06\uff068 && 8 &&;\uff06;\uff06; scriptStyle {\uff08= 1cdot 5\uff09} \\+&& 0 &&\uff06; scriptStyle {\uff08= 1cdot 0\uff09} \\+\uff061 && &&; scriptStyle {\uff08= 1cdot 1\uff09} \\ hline\uff061\uff068\uff069\uff060end {matrix}}}} \u3053\u306e\u65b9\u6cd5\u3067\u4fdd\u5b58\u3055\u308c\u305f\u6570\u5024\u306e\u5408\u8a08\uff08\u7a7a\u306e\u5834\u6240\u306f\u30bc\u30ed\u3092\u5e73\u5747\u3059\u308b\u3068\u4eee\u5b9a\u3059\u308b\uff09\u304c\u7d50\u679c\u3092\u3082\u305f\u3089\u3057\u307e\u3059\u3002 105 de 18 = 1890 {displaystyle 105cdot 18 = 1890} \u6574\u6570\u306e\u4e57\u7b97\u306f\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u7d76\u5bfe\u5024\u304c\u639b\u3051\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u9664\u3044\u3066\u3001\u3064\u307e\u308a\u3001\u7b26\u53f7\u306e\u306a\u3044\u6570\u5024\u3092\u88dc\u5b8c\u3057\u3001\u305d\u306e\u3046\u3061\u306e1\u3064\u304c\u30de\u30a4\u30ca\u30b9\u3067\u3042\u308c\u3070\u3001\u88fd\u54c1\u6a19\u8b58\u3092\u30de\u30a4\u30ca\u30b9\u9762\u3067\u88dc\u5b8c\u3057\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u56e0\u5b50\u306e1\u3064\uff08\u307e\u305f\u306f\u4e21\u65b9\uff09\u304c10\u306e\u500d\u6570\u3067\u3042\u308b\u5834\u5408\u3001\u3064\u307e\u308a\u6700\u5f8c\u306b\u591a\u304f\u306e\u30bc\u30ed\uff08\u305f\u3068\u3048\u307010500\u30fb180\uff09\u304c\u3042\u308b\u5834\u5408\u3001\u3053\u308c\u3089\u306e\u30bc\u30ed\u306f\u56e0\u5b50\u3067\u7701\u7565\u3057\u3001\u4ee3\u308f\u308a\u306b\u88fd\u54c1\u306b\u8ffd\u52a0\u3067\u304d\u307e\u3059 – \u4ee3\u308f\u308a\u306b 10500\u22c5180{displaystyle {begin {matrix} && 1\uff060\uff065\uff060\uff060 \\ cdot && && 1\uff068\uff060 \\ hline {} end {matrix}}}} \u88fd\u54c1\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059 105 de 18 {displaystyle 105cdot 18}  10500\u22c51801890000{displaystyle {begin {matrix} && 1\uff065\uff065\uff06color {midnightblue} 0\uff06color {midnightblue} 0 \\ cdot && 1\uff068\uff06color {midnightblue} 0\uff06\\ hline\uff061\uff068\uff069\uff060\uff060\uff060\uff060\uff06{midnightblue} } \u8acb\u6c42\u66f8\u306e\u3053\u306e\u7c21\u7d20\u5316\u306f\u3001\u901a\u4fe1\u3068\u4e57\u7b97\u306e\u4ea4\u4e92\u306e\u4f7f\u7528\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 105 00de 18 0= 105 de \u521d\u3081 00de 18 de \u521d\u3081 0= \uff08 105 de 18 \uff09\uff09 de \uff08 \u521d\u3081 00de \u521d\u3081 0\uff09\uff09 = \uff08 105 de 18 \uff09\uff09 de \u521d\u3081 000{displaystyle 105 {color {midnightblue} 00} cdot 18 {color {midnightblue} 0} = 105cdot 1 {color {midnightblue} 00} cdot 18cdot 1 {color {midnightblue} 0} =\uff08105cdot 18\uff09 } 0}\uff09=\uff08105cdot 18\uff09cdot 1 {color {midnightblue} 000}}} \u540c\u69d8\u306b\u3001\u5c0f\u6570\u30ec\u30b3\u30fc\u30c9\u306e\u5206\u6570\u3068\uff1a\u56e0\u5b50\u306b\u30b3\u30f3\u30de\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u5834\u5408\uff08\u4f8b\uff1a 1.05\u30fb1.8 \uff09\u3001\u4e57\u7b97\u306f\u3001\u8a18\u9332\u306b\u30b3\u30f3\u30de\u304c\u306a\u3044\u304b\u306e\u3088\u3046\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u30b3\u30f3\u30de\u3092\u7f6e\u3044\u3066\u3001\u4e21\u65b9\u306e\u8981\u56e0\u306b\u5408\u8a08\u3067\u30b3\u30f3\u30de\u304c\u3042\u308b\u306e\u3068\u540c\u3058\u304f\u3089\u3044\u591a\u304f\u306e\u6570\u5b57\u304c\u3042\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002 1,05\u22c51,81,890{displaystyle {begin {matrix} && 1\u3001\uff06color {midnightblue} 0\uff06color {midnightblue} 5 \\ cdot && 1\u3001\uff06color {midnightblue} 8 \\ hline\uff061\u3001\uff06{midnightblue} 8\uff06color {midnightblue} \u3053\u306e\u5358\u7d14\u5316\u306f\u3001\u4ee3\u66ff\u3068\u4e57\u7b97\u901a\u4fe1\u306b\u3082\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 \u521d\u3081 \u3001 05de \u521d\u3081 \u3001 8= 105 \/ \u521d\u3081 00de 18 \/ \u521d\u3081 0= \uff08 105 de 18 \uff09\uff09 \/ \uff08 \u521d\u3081 00de \u521d\u3081 0\uff09\uff09 = \uff08 105 de 18 \uff09\uff09 \/ \u521d\u3081 000{displaystyle 1\u3001{color {midnightblue} 05} cdot 1\u3001{color {midnightblue} 8} = 105\/1 {color {midnightblue} 00} cdot 18\/1 {color {midnightblue} 0} =\uff08105cdot 18\uff09 }\uff09=\uff08105cdot 18\uff09\/1 {color {midnightblue} 000}}} \u6ce8\u610f\uff1a \u3042\u306a\u305f\u306f\u3001\u4f4d\u7f6e\u30b7\u30b9\u30c6\u30e0\u3067\u66f8\u304b\u308c\u305f\u65b9\u6cd5\u3067\u306e\u307f\u4e57\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u66f8\u304b\u308c\u305f\u4e57\u7b97\u81ea\u4f53\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u305d\u306e\u5f8c\u306e\u6570\u5341\u306e\u529b\u306e\u5408\u8a08\u306e\u5f62\u3067\u81ea\u7136\u6570\u3092\u4fdd\u5b58\u3059\u308b\u3053\u3068\u3092\u4f34\u3044\u307e\u3059\u3002\u3055\u305b\u3066 m \u2a7e n {displaystyle mgeqslant n} \u79c1 a = a m\u5341 m+ \u22ef + a 1\u5341 1+ a 0\u5341 0\u3001 {displaystyle a = a_ {m} 10^{m}+dots+a_ {1} 10^{1}+a_ {0} 10^{0}\u3001} b = b n\u5341 n+ \u22ef + b 1\u5341 1+ b 0\u5341 0\u3002 {displaystyle b = b_ {n} 10^{n}+dots+b_ {1} 10^{1}+b_ {0} 10^{0}\u3002} \u305d\u308c\u304b\u3089 a\u22c5b=(am10m+\u22ef+a1101+a0100)\u22c5(bn10n+\u22ef+b1101+b0100)=am10mbn10n+\u22ef+am10mb1101+am10mb0100+\u22ef+a0100b1101+a0100b0100=ambn10m+n+\u22ef+amb110m+1+am\u22121b210m+1+\u22ef+a1b0101+0+a0b1100+1+a0b0100+0=ambn10m+n+\u22ef+(amb1+am\u22121b2+\u22ef+am\u2212n+1bn)10m+1+\u22ef+(a1b0+a0b1)101+a0b0100,{displaystyle {begin {aligned} acdot b\uff06=\uff08a_ {m} 10^{m}+dots+a_ {1} 10^{1}+a_ {0} 10^{0}\uff09 \\ [2pt]\uff06= a_ {m} 10^{m} b_ {n} 10^{n}+dots+a_ {m} 10^{m} b_ {1} 10^{1}+a_ {m} 10^{m} b_ {0} 10^{0}+dots+a_ {0}+dots+do\u200b\u200bts+ {1}+a_ {0} 10^{0} b_ {0} 10^{0} \\ [2pt]\uff06= a_ {m} b_ {n} 10^{m+n}+dots+a_ {m} b_ {1} 10^{m+1}+a_ {m-1}+1}+1}+1} {1} b_ {0} 10^{1+0}+a_ {0} b_ {1} 10^{0+1}+a_ {0} b_ {0} 10^{0+0} {m-1} b_ {2}+dots+a_ {m-n+1} b_ {n}\uff0910^{m+1}+dots+\uff08a_ {1} b_ {0}+a_ {0} b_ {1}\uff0910^{1}+a_ {0} b_ {0} {0} {0} \u540c\u6642\u306b\u30013\u756a\u76ee\u306e\u5e73\u7b49\u306f\u500b\u3005\u306e\u6570\u5024\u306e\u4e57\u7b97\u306b\u5bfe\u5fdc\u3057\u3001\u6700\u5f8c\u306e\u6700\u5f8c\u306e\u8ffd\u52a0\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 \u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u6570\u5024\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u5358\u7d14\u306a\u69cb\u9020\u3067\u5b9a\u7fa9\u3055\u308c\u305f\u30a2\u30af\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3057\u3066\u3001\u305d\u308c\u305e\u308c\u3067\u4e57\u7b97\u304c\u500b\u5225\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 2\u3064\u306e\u81ea\u7136\u6570\u306e\u7a4d a \u3001 b {displaystyle a\u3001b} \u305d\u308c\u81ea\u4f53\u3092\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3059 a {displaystyle a}  – \u5408\u8a08\u306e\u5834\u5408 b \uff1a {displaystyle b {\uff1a}}  a\u22c5b=b+b+\u22ef+b\u23dfa\u00a0razy\u00a0.{displaystyle acdot b = underbrace {b+b+dots+b} _ {a {text {razy}}}\u3002}} \u3053\u308c\u306f\u518d\u5e30\u7684\u306b\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002 n\u22c5a={a\u00a0dla\u00a0n=1(n\u22121)\u22c5a+a\u00a0dla\u00a0n\u2a7e2{displaystyle ncdot a = {begin {cases} a\uff06{mbox {dla}} n = 1 \\\uff08n-1\uff09cdot a+a\uff06{mbox {dla}} ngeqslant 2end {cases}}}}} 2\u3064\u306e\u6574\u6570\u306e\u7a4d a  –  b {displaystyle a-b} \u79c1 c  –  d \u3001 {displaystyle c-d\u3001} \u3069\u3053 a \u3001 b \u3001 c \u3001 d \u2208 n {displaystyle a\u3001b\u3001c\u3001din mathbb {n}}} \u305d\u308c\u306f\u6c7a\u5b9a\u3055\u308c\u307e\u3059 (a\u2212b)\u22c5(c\u2212d)=a\u22c5c+b\u22c5d\u2212(a\u22c5d+b\u22c5c);{displaystyle\uff08a-b\uff09cdot\uff08c-d\uff09= acdot c+bcdot d-\uff08acdot d+bcdot c\uff09;} 2\u3064\u306e\u6e2c\u5b9a\u53ef\u80fd\u306a\u6570\u5024\u306e\u7a4d ab{displaystyle {tfrac {a} {b}}} \u79c1 cd\u3001 {displaystyle {tfrac {c} {d}}\u3001} \u3069\u3053 a \u3001 c \u2208 \u3068 \u3001 {displaystyle a\u3001cin mathbb {z}\u3001} a b \u3001 d \u2208 Z+{displaystyle b\u3001din mathbb {z} _ {+}} \u305d\u308c\u306f\u6c7a\u5b9a\u3055\u308c\u307e\u3059 ab\u22c5cd=acbd;{displaystyle {frac {a} {b}} cdot {frac {c} {d}} = {frac {ac} {bd}};} 2\u3064\u306e\u5b9f\u6570\u306e\u7a4d a {displaystyle a} \u79c1 b {displaystyle b} \u6b21\u306e\u3088\u3046\u306b\uff1a Cauchy Strings\u306e\u30bb\u30c3\u30c8\u3067\u306f\u3001\u540c\u7b49\u306e\u95a2\u4fc2\u304c\u5c0e\u5165\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \uff08 c n\uff09\uff09 \u301c \uff08 d n\uff09\uff09 {displaystyle\uff08c_ {n}\uff09sim\uff08d_ {n}\uff09} \u6587\u5b57\u5217\u306e\u5834\u5408 | c n –  d n| {displaystyle | c_ {n} -d_ {n} |} \u5f7c\u306f\u30bc\u30ed\u306b\u53ce\u675f\u3057\u3066\u3044\u307e\u3059\u3002\u3055\u305b\u3066 a n\u3001 b n{displaystyle a_ {n}\u3001b_ {n}} \u305d\u308c\u3089\u306f\u5f26\u306e\u6570\u306e\u6709\u5f62\u306e\u6570\u5b57\u306b\u306a\u308a\u3001\u6b21\u306b\u6587\u5b57\u5217\u306b\u306a\u308a\u307e\u3059 c n= a nde b n{displaystyle c_ {n} = a_ {n} cdot b_ {n}} \u307e\u305f\u3001\u4e00\u9023\u306e\u6709\u5f62\u306e\u6570\u5b57\u3067\u3059\u3002\u6587\u5b57\u5217\u306e\u9078\u629e\u306b\u95a2\u4fc2\u306a\u304f \uff08 a n\u2032\uff09\uff09 \u301c \uff08 a n\uff09\uff09 \u3001 \uff08 b n\u2032\uff09\uff09 \u301c \uff08 b n\uff09\uff09 {displaystyle\uff08a_ {n}^{‘}\uff09sim\uff08a_ {n}\uff09\u3001\uff08b_ {n}^{‘}\uff09sim\uff08b_ {n}\uff09} \u305d\u308c\u306f\u767a\u751f\u3057\u307e\u3059 \uff08 a n\u2032de b n\u2032\uff09\uff09 \u301c \uff08 a nde b n\uff09\uff09 \u3002 {displaystyle\uff08a_ {n}^{‘} cdot b_ {n}^{‘}\uff09sim\uff08a_ {n} cdot b_ {n}\uff09\u3002}} \u30af\u30e9\u30b9\u62bd\u8c61\u30af\u30e9\u30b9 \uff08 a nde b n\uff09\uff09 {displaystyle\uff08a_ {n} cdot b_ {n}\uff09} \u4ee3\u8868\u8005\u306e\u30af\u30e9\u30b9\u3067\u8b58\u5225\u3055\u308c\u305f\u6570\u5b57\u306e\u7523\u7269\u3067\u3059 \uff08 a n\uff09\uff09 \u3001 \uff08 b n\uff09\uff09 \u3002 {displaystyle\uff08a_ {n}\uff09\u3001\uff08b_ {n}\uff09\u3002} \uff08 a + b \u79c1 \uff09\uff09 de \uff08 c + d \u79c1 \uff09\uff09 = \uff08 a c  –  b d \uff09\uff09 + \uff08 a d + b c \uff09\uff09 \u79c1 \u3002 m ssprume\uff08alex\uff08auco\uff09\uff09k-bod\uff09qub\uff09mat\uff09m\u00e9\u3002 \u30b5\u30a4\u30f3 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e57\u7b97\u306b\u306f\u3001\u4e00\u822c\u306b\u30c9\u30c3\u30c8\u30b7\u30f3\u30dc\u30eb\u304c\u30de\u30fc\u30af\u3055\u308c\u3066\u3044\u307e\u3059\u3002 2 de 2 = 4 \u3001 {displaystyle 2cdot 2 = 4\u3001} \u6642\u3005\u3001\u30c9\u30c3\u30c8\u306e\u4ee3\u308f\u308a\u306b\u3001\u56de\u8ee2\u3057\u305f\u5341\u5b57\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 3 \u00d7 4 = 12\u756a\u76ee \u3001 {displaystyle 3times 4 = 12\u3001} \u307e\u305f\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u30b5\u30a4\u30a8\u30f3\u30b9\u3067\u306f\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u30ad\u30fc\u30dc\u30fc\u30c9\u3067\u306e\u30a2\u30af\u30bb\u30b9\u304c\u7c21\u5358\u306a\u305f\u3081\u3001\u30a2\u30b9\u30bf\u30ea\u30b9\u306e\u4f7f\u7528\u304c\u63a1\u7528\u3055\u308c\u307e\u3057\u305f\u3002 a = b * c \u3002 \u3053\u308c\u304c\u8aa4\u89e3\u306b\u3064\u306a\u304c\u3089\u306a\u3044\u5834\u5408\u3001\u6570\u5b66\u7684\u8a18\u9332\u306e\u4e57\u7b97\u8a18\u53f7\u306f\u3057\u3070\u3057\u3070\u7701\u7565\u3055\u308c\u307e\u3059\u3002 a de b {displaystyle acdot b} \u305d\u308c\u306f\u66f8\u304b\u308c\u3066\u3044\u308b a b \u3002 {displaystyle ab\u3002}  \u56e0\u5b501 \u56e0\u5b502 \u88fd\u54c1 \u5e73 \u5408\u8a08 \u5e73 \u5408\u8a08 \u5e73 \u5e73 \u81ea\u7136 \u81ea\u7136 \u81ea\u7136 \u5408\u8a08 \u5408\u8a08 \u5408\u8a08 \u5408\u8a08 \u6e2c\u5b9a\u53ef\u80fd \u6e2c\u5b9a\u53ef\u80fd \u6e2c\u5b9a\u53ef\u80fd \u4e0d\u5408\u7406 \u91cd\u8981\u307e\u305f\u306f\u30bc\u30ed \u4ee3\u6570 \u4ee3\u6570 \u4ee3\u6570 \u4ee3\u6570 \u9b3c\u3054\u3063\u3053 \u30ea\u30fc\u30f3\u307e\u305f\u306f\u30bc\u30ed \u5b9f\u969b \u5b9f\u969b \u5b9f\u969b \u7d44\u307f\u5408\u308f\u305b\u305f \u7d44\u307f\u5408\u308f\u305b\u305f \u7d44\u307f\u5408\u308f\u305b\u305f \u5b8c\u6210\u3057\u305f\u6570\u306e\u8981\u56e0\u306e\u88fd\u54c1 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3055\u305b\u3066 a {displaystyle a} \u30a2\u30af\u30b7\u30e7\u30f3\u304c\u6c7a\u5b9a\u3055\u308c\u305f\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u306b\u306a\u308a\u307e\u3059 de {displaystyledot} \u5408\u8a08\u3068\u4e2d\u6027\u8981\u7d20\u3092\u6301\u3063\u3066\u3044\u307e\u3059 \u521d\u3081 {displaystyle1} \uff08\u3064\u307e\u308a\u3001\u69cb\u9020 \uff08 a \u3001 de \uff09\uff09 {displaystyle\uff08a\u3001cdot\uff09} \u30e2\u30ce\u30a4\u30c9\u3067\u3059\uff09\u3002\u305f\u3068\u3048\u3070\u3001\u4e57\u7b97\u3092\u4f34\u3046\u5b9f\u969b\u306e\uff08\u307e\u305f\u306f\u8907\u96d1\u306a\uff09\u6570\u306e\u30bb\u30c3\u30c8\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b21\u306b\u3001\u88fd\u54c1\u3092\u5b9a\u7fa9\u3057\u307e\u3059 \u220f \u79c1 = \u521d\u3081 n a \u79c1 {displaystyle prod _ {i = 1}^{n} a_ {i}} \u30d1\u30bf\u30fc\u30f3\u3067\u5e30\u7d0d\u7684 \u220f i=10a i= \u521d\u3081 {displaystyle prod _ {i = 1}^{0} a_ {i} = 1} \u220f i=1n+1a i= \u220f i=1na ide a n+1{displaystyle prod _ {i = 1}^{n+1} a_ {i} = prod _ {i = 1}^{n} a_ {i} cdot a_ {n+1}}}} \u540c\u69d8\u306e\u65b9\u6cd5\u3067\u5b9a\u7fa9\u3057\u307e\u3059 \u220f \u79c1 = n m a \u79c1 \u3002 {displaystyle prod _ {i = n}^{m} a_ {i}\u3002}  \u3053\u306e\u8868\u8a18\u6cd5\u306f\u3001\u8ad6\u7406\u7684\u6761\u4ef6\u304c\u30a4\u30f3\u30b8\u30b1\u30fc\u30bf\u306b\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001\u4f8b\u3048\u3070\u3001\u4e00\u822c\u5316\u3067\u304d\u307e\u3059\u3002 \u6570\u306e\u4e57\u7b97\u306f\u3001\u30ea\u30f3\u30b0\uff08\u6574\u6570\u306a\u3069\uff09\u3068\u4f53\uff08\u6e2c\u5b9a\u53ef\u80fd\u3001\u73fe\u5b9f\u3001\u8907\u96d1\uff09\u3068\u547c\u3070\u308c\u308b\u4ee3\u6570\u69cb\u9020\u306b\u4e00\u822c\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u3053\u306e\u4f53\u306e\u4e0a\u306e\u8eab\u4f53\u8981\u7d20\u3068\u7dda\u5f62\u7a7a\u9593\u306e\u4e57\u7b97\u3082\u8003\u616e\u3055\u308c\u307e\u3059\u3002 \u30b9\u30ab\u30e9\u30fc\u306b\u3088\u308b\u4e57\u7b97 \u3002\u5897\u6b96\u306f\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u4e57\u7b97\u8a18\u9332\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u30a2\u30af\u30b7\u30e7\u30f3\u3068\u547c\u3070\u308c\u307e\u3059\u3002 \u3053\u308c\u3089\u306e\u69cb\u9020\u3067\u306f\u3001\u4e57\u7b97\u306f\u901a\u5e38\u3001\u8ffd\u52a0\u306b\u95a2\u9023\u3057\u3066\u7d44\u307f\u5408\u308f\u3055\u308c\u3001\u5206\u96e2\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u305f\u3068\u3048\u3070\u3001\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3068\u30d9\u30af\u30c8\u30eb\u7a4d\u3092\u639b\u3051\u308b\u304b\u3001\u81ea\u7136\u8a00\u8a9e\u3067\u5897\u6b96\u3059\u308b\u3053\u3068\u306f\u5e38\u306b\u4ea4\u4e92\u306b\u306a\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002 [\u521d\u3081] \u3002\u30d9\u30af\u30c8\u30eb\u88fd\u54c1\u3082\u5408\u8a08\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e57\u7b97\u306f\u3001\u5bbf\u6cca\u65bd\u8a2d\u3068\u30aa\u30af\u30c8\u30cb\u30aa\u30f3\u3067\u3082\u7d44\u307f\u5408\u308f\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u3068\u547c\u3070\u308c\u308b\u4e57\u7b97\u306e\u7d50\u679c\u306f\u3001\u8981\u56e0\u3068\u306f\u7570\u306a\u308b\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u304b\u3089\u6765\u3066\u3044\u307e\u3059\u3002 \u4e57\u7b97\u52b9\u679c\u306b\u306f\u3001\u4e2d\u6027\u8981\u7d20\u304c\u3042\u308a\u307e\u3059\u30022\u3064\u306ergrute\u52b9\u679c\u304c\u4e2d\u6027\u8981\u7d20\u3092\u6301\u3064\u6700\u3082\u4e00\u822c\u7684\u306a\u69cb\u9020\u306f\u3001\u30e2\u30ce\u30a4\u30c9\uff08\u30a2\u30af\u30b7\u30e7\u30f3\u304c\u5408\u8a08\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\uff09\u3068\u6e96\u30b0\u30ec\u30fc\u30d7\uff08\u30a2\u30af\u30b7\u30e7\u30f3\u3092\u5408\u8a08\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\uff09\u3067\u3059\u3002\u901a\u5e38\u3001\u30b7\u30f3\u30dc\u30eb\u3067\u30de\u30fc\u30af\u3055\u308c\u3066\u3044\u307e\u3059 \u521d\u3081 {displaystyle1} \uff08\u4ed6\u306e\u5e83\u7bc4\u306a\u30de\u30fc\u30ad\u30f3\u30b0\uff1a \u305d\u3046\u3067\u3059 \u3001 {displaystyle e\u3001}  \u79c1 \u3001 {displaystyle i\u3001} \u6587\u5b57\u306f\u5927\u5c0f\u3092\u554f\u308f\u305a\uff09\u3068\u540d\u524d \u4e00 \uff081\u3064\u306e\u30ea\u30f3\u30b0\u3092\u53c2\u7167\uff09\u3002 SO -Called\u9006\u8981\u7d20\u3002 2\u3064\u306e\u8981\u7d20\u306e\u7a4d\u304c1\u3064\u306e\u5834\u5408\u3001\u3053\u308c\u3089\u306e\u8981\u7d20\u306f\u53cd\u5bfe\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u95a2\u3059\u308b\u6700\u3082\u4e00\u822c\u7684\u306a\u69cb\u9020\u306f\u3001\u30eb\u30fc\u30d7\u3001\u3064\u307e\u308a1\u3064\u306e\u6e96\u30b0\u30ec\u30fc\u30d7\u3067\u3059\u3002\u6e96\u30b0\u30eb\u30fc\u30d7\u81ea\u4f53\u306f\u30011\u3064\u306e\u306a\u3044\u9006\u8981\u7d20\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u69cb\u9020\u306e\u4f8b\u3067\u3059\u3002 Shaolin Monks\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3057\u305f\u6570\u5b57\u306e\u4e57\u7b97 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  Shaolin Monks Method\u3092\u4f7f\u7528\u3057\u3066\u30012\u756a\u306e\u6570\u5b573\u3068Number 123\u306e25\u756a\u306e\u6570\u5b57123\u306e\u5897\u6b96\u306e\u4f8b Shaolin Monks\u30e1\u30bd\u30c3\u30c9\u306e\u6570\u306f\u3001\u4e00\u9023\u306e\u884c\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u5404\u6570\u5b57\u306f\u3001\u6570\u5b57\u306e\u5024\u3068\u540c\u3058\u91cf\u306e\u5e73\u884c\u7dda\u306e\u30b0\u30eb\u30fc\u30d7\u304b\u3089\u4fdd\u5b58\u3055\u308c\u307e\u3059\uff08\u4f8b\uff1a\u6841 5 {displaystyle 5} 5\u3064\u306e\u5e73\u884c\u7dda\u3092\u8868\u3057\u307e\u3059\uff09\u3002\u7dda\u306e\u30b0\u30eb\u30fc\u30d7\u306f\u4f11\u61a9\u306b\u3088\u3063\u3066\u5206\u96e2\u3055\u308c\u307e\u3059\u3002\u6700\u521d\u306e\u6570\u5b57\u306e\u7dda\u306f\u30012\u756a\u76ee\u306e\u6570\u5b57\u306e\u7dda\u306b\u5782\u76f4\u3067\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306f\u3001\u7dda\u9593\u306e\u4ea4\u5dee\u306e\u91cf\u3092\u30ab\u30a6\u30f3\u30c8\u3059\u308b\u3053\u3068\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30ab\u30a6\u30f3\u30c8\u306f\u5bfe\u89d2\u7dda\u30d9\u30fc\u30b9\u3067\u884c\u308f\u308c\u307e\u3059\u3002\u4ea4\u5dee\u70b9\u306f\u3001\u5de6\u5074\u306e\u6700\u3082\u9060\u3044\u659c\u3081\u304b\u3089\u59cb\u307e\u308b\u5bfe\u89d2\u7dda\u306b\u6cbf\u3063\u3066\u30ab\u30a6\u30f3\u30c8\u3055\u308c\u307e\u3059\u3002\u7279\u5b9a\u306e\u5bfe\u89d2\u7dda\u4e0a\u306e\u7dda\u306e\u5408\u8a08\u304c\u3088\u308a\u5927\u304d\u3044\u5834\u5408 9 \u3001 {displaystyle 9\u3001} \u305d\u308c\u304b\u3089\u52a0\u3048\u3066 \uff08 \u30d0\u30c4  –  \uff08 \u30d0\u30c4  m o d  \u5341 \uff09\uff09 \uff09\uff09 \/ \u5341 {displaystyle\uff08x-\uff08x mathrm {mod} 10\uff09\uff09\/10} \u4ee5\u524d\u306e\u5bfe\u89d2\u7dda\u3068\u7d71\u4e00\u6841\u306e\u7d50\u679c \u30d0\u30c4  \u306b\u5bfe\u3057\u3066 \u2061  \u5341 {displaystyle x operatorname {mod} 10} \u691c\u8a0e\u3055\u308c\u305f\u5bfe\u89d2\u7dda\u306e\u7d50\u679c\u3068\u3057\u3066\u5165\u529b\u3059\u308b\u3068\u3001\u4f8b\u5916\u306f\u7d50\u679c\u5168\u4f53\u304c\u5165\u529b\u3055\u308c\u308b\u6700\u521d\u306e\u5bfe\u89d2\u7dda\u3067\u3059\u3002\u5f97\u3089\u308c\u305f\u5024\u306e\u3046\u3061\u3001\u53f3\u5074\u306e\u6700\u3082\u9060\u3044\u89d2\u8cea\u3067\u5f97\u3089\u308c\u305f\u7d50\u679c\u304b\u3089\u59cb\u307e\u308b\u6700\u7d42\u7d50\u679c\u304c\u69cb\u7bc9\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u306f\u3001\u7d71\u4e00\u306e\u6570\u306b\u8cac\u4efb\u304c\u3042\u308a\u307e\u3059\u3002\u659c\u3081\u306e\u6b21\u306e\u7d50\u679c\u306f\u3001\u6b21\u306e\u6570\u767e\u6841\u306a\u3069\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 \u4e57\u7b97 17\u4e16\u7d00\u4ee5\u964d\u306e\u30dd\u30fc\u30e9\u30f3\u30c9\u8a9e\u3067\u306f\u3001\u6570\u5b57\u304c\u30ab\u30a6\u30f3\u30c8\u3001\u5206\u5272\u3001\u5206\u5272\u3001\u5206\u6570 – \u5206\u6570\u3068\u547c\u3070\u308c\u308b\u3088\u3046\u306b\u3001\u4e57\u7b97\u304c\u547c\u3073\u51fa\u3055\u308c\u307e\u3057\u305f\u3002 \u4f8b\u306f\u4f8b\u5916\u3067\u3059 \u7b97\u8853\u307e\u305f\u306f\u8a08\u7b97\u306b\u3064\u3044\u3066\u306e\u30dd\u30fc\u30e9\u30f3\u30c9\u306e\u30b8\u30aa\u30e1\u30c8\u30ea\u306e\u697d\u3057\u307f \u6559\u79d1\u66f8\u304b\u3089 \u30dd\u30fc\u30e9\u30f3\u30c9\u306e\u30b8\u30aa\u30e1\u30c8\u30ea 1683\u5e74\u306e\u30b9\u30bf\u30cb\u30b9\u30ef\u30d5\u30fb\u30bd\u30eb\u30b9\u30ad\u30fc [2] \uff1a \u591a\u6570\u306e\u5206\u6570\u306b\u3064\u3044\u3066 \u9ebb\u75fa\u3092\u6570\u3048\u308b\u3001\u30ab\u30a6\u30f3\u30c8\u3092\u4e0e\u3048\u307e\u3059\u3002 \u4e88\u7d04\u3001\u3042\u306a\u305f\u306b\u306f\u4e88\u7d04\u304c\u3042\u308a\u307e\u3059\u3002 \u6d3eion\u304c\u5168\u4f53\u3092\u7d39\u4ecb\u3059\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u5834\u5408\u3001 \u305d\u308c\u3092\u58ca\u3059\uff1a\u8907\u6570\u3002\u5f7c\u306e\u88fd\u54c1\u304c\u51fa\u3066\u304d\u307e\u3059\u3002 \u300c\u4e57\u7b97\u300d\u3068\u95a2\u9023\u3059\u308b\u5358\u8a9e\u306f\u3001\u30f4\u30a3\u30c8\u30eb\u30c9\u30fb\u30c9\u30ed\u30b9\u30bc\u30d5\u30b9\u30ad\u30fc\u3068\u300c\u5916\u56fd\u8a9e\u306e\u8f9e\u66f8\u300d\u304c\u30f4\u30ef\u30c7\u30a3\u30b9\u30ef\u30fc\u30fb\u30b3\u30d1\u30ea\u30b9\u30ad\u30fc\u306b\u3088\u3063\u3066\u7de8\u96c6\u3057\u305f\u300c\u30dd\u30ea\u30c3\u30b7\u30e5\u8f9e\u66f8\u300d\u306b\u8f9e\u66f8\u306b\u8868\u793a\u3055\u308c\u307e\u3059\u3002 17\u4e16\u7d00\u4ee5\u524d\u306b\u3001\u30b9\u30bf\u30cb\u30b9\u30ef\u30d5grzepski\u306f\u300c\u4e57\u7b97\u300d\u306e\u5f62\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\uff08\u4e57\u7b97\uff09 [3] \u3002 \u300c\u591a\u91cd\u5316\u300d\u3001\u300c\u30de\u30eb\u30c1\u30af\u30ea\u30ca\u30ea\u30fc\u300d\u5f62\u5bb9\u8a5e\u306f\u6570\u5b66\u7528\u8a9e\u3067\u6642\u3005\u4f7f\u7528\u3055\u308c\u308b\u5f62\u5bb9\u8a5e\uff1a\u300c\u591a\u91cd\u5316\u30b0\u30eb\u30fc\u30d7\u300d\u306f\u300c\u4e57\u7b97\u300d\u3068\u3044\u3046\u8a00\u8449\u306b\u7531\u6765\u3057\u307e\u3059 [4] \uff08\u4eca\u65e5\u306e\u3080\u3057\u308d\uff1a\u4e57\u7b97\u30b0\u30eb\u30fc\u30d7\uff09\u3001\u4e57\u6cd5\u30ec\u30b3\u30fc\u30c9 [5] \u3001\u300cMulti -Scientific Collection\u300d\uff08\u4eca\u65e5\u306f\u3080\u3057\u308d\uff1a\u4e57\u7b97\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\uff09 [6] \u3001\u4e57\u7b97\u95a2\u6570 [7] \u3002\u3053\u308c\u3089\u306e\u5f62\u5bb9\u8a5e\u306e\u610f\u5473\u306f\u3001\u300c\u4e57\u7b97\u306b\u95a2\u9023\u3059\u308b\u300d\u3001\u300c\u7279\u5b9a\u306e\u65b9\u6cd5\u3067\u306e\u4e57\u7b97\u306b\u95a2\u9023\u300d\u3067\u3059\u3002 19\u4e16\u7d00\u306820\u4e16\u7d00\u306e\u5909\u308f\u308a\u76ee\u304b\u3089\u306e\u30dd\u30fc\u30e9\u30f3\u30c9\u8a9e\u8f9e\u66f8 [8] \u300c\u4e57\u7b97\u300d\uff08\u4e57\u7b97\uff09\u3068\u300c\u30de\u30eb\u30c1\u30d4\u30d1\u30fc\u30bf\u30fc\u300d\uff08\u4e57\u7b97\u306e\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\uff09\u306e\u6570\u5b66\u7684\u610f\u5473\u3092\u3001\u53e4\u98a8\uff08\u53e4\u3044\u30dd\u30ea\u30c3\u30b7\u30e5\uff09\u3068\u3057\u3066\u5206\u985e\u3057\u307e\u3059\u304c\u3001\u300c\u591a\u91cd\u5316\u3001\u4e57\u7b97\uff09\u306e\u751f\u7269\u5b66\u7684\u610f\u5473\u3068\u300c\u4e57\u6570\u300d\u306e\u6280\u8853\u7684\u610f\u5473\u3092\u8003\u616e\u3057\u3066\u3044\u307e\u3059\u3002\u898b\u308b\uff1a  – 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