{"id":14671,"date":"2023-06-09T23:06:14","date_gmt":"2023-06-09T14:06:14","guid":{"rendered":"https:\/\/zelkova-tree.net\/WordPress\/?p=14671"},"modified":"2023-06-10T08:55:52","modified_gmt":"2023-06-09T23:55:52","slug":"nu-b-1%e3%81%a8%e3%81%84%e3%81%86%e5%80%a4%e3%81%ab%e3%81%a8%e3%81%84%e3%81%86%e5%90%8d%e5%89%8d%e3%82%92%e4%b8%8e%e3%81%88%e3%82%8b","status":"publish","type":"post","link":"https:\/\/zelkova-tree.net\/WordPress\/2023\/06\/09\/nu-b-1%e3%81%a8%e3%81%84%e3%81%86%e5%80%a4%e3%81%ab%e3%81%a8%e3%81%84%e3%81%86%e5%90%8d%e5%89%8d%e3%82%92%e4%b8%8e%e3%81%88%e3%82%8b\/","title":{"rendered":"nU\/(B-1)\u3068\u3044\u3046\u5024\u306b&Xi;\u3068\u3044\u3046\u540d\u524d\u3092\u4e0e\u3048\u308b"},"content":{"rendered":"<p><font face=\"\u30e1\u30a4\u30ea\u30aa\"><\/p>\n<p>\u73fe\u884c\u3067\u306fnU\/(B-1)\u306e\u5024\u306brep\u3068\u3044\u3046\u30e9\u30d9\u30eb\u3092\u4ed8\u3051\u3066\u3044\u308b\u304c\uff0c\u3053\u306e\u6570\u5024\u306f\u3064\u306d\u306b\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u306b\u306a\u308b\u3068\u306f\u9650\u3089\u306a\u3044\u306e\u3067\uff0c\u6b63\u78ba\u3068\u306f\u8a00\u3048\u306a\u3044\uff0e\u591a\u5c11\u3046\u308b\u3055\u3044\u304c\uff0c\u76f4\u63a5nU\/(B-1)\u3068\u8868\u8a18\u3057\u3066\u304a\u3044\u305f\u65b9\u304c\u9593\u9055\u3044\u304c\u306a\u3044\u306e\u3067\u306f\u306a\u3044\u304b\uff1f\u5408\u308f\u305b\u3066\uff0crep\u5024\u304c\u30ec\u30d4\u30e5\u30cb\u30c3\u3067\u3042\u308b\u304b\u5426\u304b\u3092\u793a\u3059\u30a4\u30f3\u30b8\u30b1\u30fc\u30bf\u3082\u8868\u793a\u3057\u3066\u304a\u304d\u305f\u3044\uff0e\u6628\u65e5\u304b\u3089EFA\u306e\u8aad\u307f\u76f4\u3057\u3092\u59cb\u3081\u3066\u3044\u308b\u304c\uff0c\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u5024\u3092\u5f97\u3089\u308c\u308b\u304b\u5426\u304b\u306f\uff4e\u306e\u7d20\u56e0\u6570\u5206\u89e3\u306b\u6df1\u304f\u95a2\u4fc2\u3057\u3066\u3044\u308b\uff0e<\/p>\n<p>\u3042\u308b\u6570\uff52\u304c\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u3067\u3042\u308b\u3053\u3068\u3092\u3069\u306e\u3088\u3046\u306b\u5224\u5b9a\u3059\u308c\u3070\u3088\u3044\u3060\u308d\u3046\uff1f\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u306fB\u306b\u4f9d\u5b58\u3059\u308b\u306e\u3067\u8a08\u7b97\u306b\u306fB\u304c\u73fe\u308c\u306a\u304f\u3066\u306f\u306a\u3089\u306a\u3044\uff0er=(B^e-1)\/(B-1)\u3060\u304b\u3089\uff0cr*(B-1)+1\u3057\u3066B^e\u306b\u623b\u305b\u308b\u304b\u3069\u3046\u304b\u3092\u8a66\u3057\u3066\u307f\u308c\u3070\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u304b\uff1f\u3044\u307e\u306e\u5834\u5408\uff0ce\u306f\u672a\u77e5\u3060\u304b\u3089\uff0cX=r*(B-1)+1\u3068\u3057\u3066\uff0cB^log(X)=X\u3068\u306a\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3088\u3044\uff0e\u3044\u3084\uff0c\u3053\u308c\u306f\u9593\u9055\u3044\u3060\uff0eB^(logX\/logB)=X\u3060\uff0eB\u3092\u5e95\u3068\u3059\u308b\u5bfe\u6570\u3092\u76f4\u63a5\u6c42\u3081\u308b\u3053\u3068\u306f\u53ef\u80fd\u3060\u308d\u3046\u304b\uff1fx=logX \/ lobB\u3092\u8a08\u7b97\u3057\u3066\u3084\u308c\u3070\u3088\u3044\uff0e\u21d2\u3067\u304d\u305f\uff01\u304b\u306a\u308a\u308f\u304b\u308a\u6613\u304f\u306a\u3063\u305f\uff0e\u21d2\u30c0\u30e1\u3060\uff0e\u8aa4\u52d5\u4f5c\u3057\u3066\u3044\u308b\uff0e<\/p>\n<p>n=29, B=5\u306e\u3068\u304d\uff0cr=11111111111111\u304c\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u3067\u306a\u3044\u3068\u5224\u5b9a\u3055\u308c\u3066\u3044\u308b\uff0edouble\u306e\u8a08\u7b97\u306a\u306e\u3067\u8aa4\u5dee\u304c\u51fa\u3066\u3057\u307e\u3063\u3066\u3044\u308b\u306e\u3060\u308d\u3046\u304b\uff1fx=13.999999999999998\u3068\u3044\u3046\u5024\u3060\uff0eCType\u3067\u5909\u63db\u3057\u3066\u3044\u308b\u304c\u5207\u308a\u6368\u3066\u306b\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u306f\u306a\u3044\u3060\u308d\u3046\u304b\uff1f\u21d2\u305d\u306e\u3088\u3046\u3060\uff0eMath.Round\u95a2\u6570\u3092\u4f7f\u3046\u3088\u3046\u306b\u3057\u3066\u307f\u305f\uff0eRound\u306e\u5f15\u6570\u3067\u56db\u6368\u4e94\u5165\u3092\u884c\u3046\u5c0f\u6570\u4f4d\u3092\u6307\u5b9a\u3067\u304d\u308b\u304c\uff0c15\u3068\u3057\u305f\u5834\u5408\u306b\u306f\u843d\u3061\u3066\u3057\u307e\u3046\uff0e15\u6841\u76ee\u306f8\u3067\uff0c14\u6841\u76ee\u307e\u3067\u306f9\u304c\u5165\u3063\u3066\u3044\u308b\uff0e\u5f15\u6570\u309214\u3068\u3057\u3066\u52d5\u4f5c\u3057\u305f\u306e\u3067\uff0c\u3053\u308c\u3067\u3088\u3044\u3053\u3068\u306b\u3059\u308b\uff0e\u6574\u6570\u5024\u3067\u691c\u7b97\u3057\u3066\u3044\u308b\u306e\u3067\u554f\u984c\u306a\u3044\u306f\u305a\u3060\uff0e<\/p>\n<p>\u30c0\u30e1\u3060\uff0en=73, B=29\u3067r=11111111111111111111111111111111111111111111111111<\/p>\n<p>1111111111111111111111 \u306e\u6570\u5b57\u3092\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u3067\u306a\u3044\u3068\u5224\u5b9a\u3057\u3066\u3044\u308b\uff0e71.999999999999986\u309271\u306b\u307e\u308b\u3081\u3066\u3044\u308b\uff0e\u21d2\u7b2c\u4e8c\u5f15\u6570\u309212\u307e\u3067\u843d\u3068\u3057\u3066\u307f\u305f\uff0e\u3053\u308c\u3067(B^e-1)\/(B-1)\u306e\u5024\u3092\u5b8c\u5168\u306b\u691c\u67fb\u3067\u304d\u308b\uff0e\u3053\u306e\u5024\u306b\u306f\u4f55\u304b\u540d\u524d\u304c\u4ed8\u3044\u3066\u3044\u305f\u3060\u308d\u3046\u304b\uff1f\u3053\u306e\u5024\u306f\u7d50\u69cb\u91cd\u8981\u5ea6\u304c\u9ad8\u3044\u306e\u3067\uff0c\u4f55\u304b\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u3092\u4e0e\u3048\u3066\u3082\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u3060\u308d\u3046\u304b\uff1f\u21d2\u03c6\uff0c\u03c8\u3068\u304d\u3066\uff0c\u6b21\u306f\u03c7\u3067\u306f\u306a\u3044\u304b\uff1f\u3057\u304b\u3057\uff0c\u6587\u5b57\u9762\u3067\u306f\uff58\u3068\u540c\u3058\u306b\u306a\u3063\u3066\u3057\u307e\u3046\uff0eupsilon\u3068\u3044\u3046\u306e\u3082\u3042\u308b\uff0enU\u306e\u7d04\u6570\u306a\u306e\u3067\u03a5\u3082\u304a\u3082\u3057\u308d\u3044\u3068\u601d\u3046\u306e\u3060\u304c\uff0c\u898b\u305f\u76ee\u304cY\u306b\u306a\u3063\u3066\u3057\u307e\u3046\uff0e\u039e\u306f\u6a2a\u68d2\u3060\u304c\uff0c\u4e00\u304c\uff13\u3064\u4e26\u3093\u3060\u5f62\u72b6\u306b\u898b\u3048\u308b\u306e\u3067\uff0c\u3053\u308c\u3092\u4f7f\u3063\u3066\u307f\u3088\u3046\uff0e\u3064\u307e\u308a\uff0c\u4e0a\u3067\u300cnU\/(B-1)\u300d\u3068\u8868\u8a18\u3057\u305f\u5024\u3060\uff0e\u039e=nU\/(B-1)\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308b\uff0e\u21d2\u76f4\u611f\u7684\u3067\u60aa\u304f\u306a\u3044\u3068\u601d\u3046\uff0e<\/p>\n<p>\u3053\u306e\u30a4\u30f3\u30b8\u30b1\u30fc\u30bf\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b\u3068\uff0c\uff4e\u3068B\u304c\u4e92\u3044\u306b\u7d20\u3067\u3042\u308b\u3053\u3068\u3068\uff0c\u039e\u5024\u304c\u30ec\u30d4\u30e5\u30cb\u30c3\u30c8\u6570\u3067\u3042\u308b\u3053\u3068\u306f\u5b8c\u5168\u306b\u540c\u5024\u3067\u3042\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u308b\uff0e\u3053\u308c\u306f\u5927\u304d\u306a\u53ce\u7a6b\u3060\uff0e\u30c0\u30cb\u30a8\u30eb\u30fb\u30c7\u30b8\u30aa\u30b8\u30fc\u3068\u306e\u5bfe\u8a71\u306e\u4e2d\u3067\u6570\u5b57\u548c\uff08digit sum\uff09\u306e\u8a71\u304c\u51fa\u3066\u304f\u308b\uff0e\u3069\u3053\u304b\u5834\u6240\u304c\u3042\u308c\u3070\u51fa\u3057\u3066\u307f\u305f\u3044\u306e\u3060\u304c\u2026 \u6570\u5b57\u6839\uff08digital root\uff09\u3068\u3044\u3046\u306e\u3082\u3042\u308b\uff0e\u3053\u308c\u306f\u6570\u5b57\u548c\u3092\u4e00\u3064\u306e\u6570\u3068\u307f\u306a\u3057\u3066\u305d\u306e\u6570\u5b57\u548c\u3092\u6c42\u3081\uff0c\u306e\u3088\u3046\u306a\u64cd\u4f5c\u3092\u7e70\u308a\u8fd4\u3057\u3066\u4e00\u6841\u306b\u306a\u3063\u305f\u3068\u304d\u306e\u6570\u5b57\u3060\uff0e\uff4e\u306eB\u9032\u8868\u8a18\u3092\u51fa\u3059\u3068\u3053\u308d\u3067\u30c0\u30f3\u30d7\u51fa\u529b\u3068\u3057\u3066\u51fa\u3057\u3066\u304a\u304f\u3053\u3068\u306b\u3057\u3088\u3046\uff0eDispInvertFunc\u2192DispNotation\u3067\u8868\u793a\u3057\u3066\u3044\u308b\uff0e<\/p>\n<p><font color=\"#cccccc\">\u25b2<\/font>B\u3092\u5909\u3048\u305f\u3068\u304d\uff0cB\u306e\u56e0\u6570\u3068B\u9032\u8868\u8a18\u304c\u5909\u5316\u3057\u306a\u3044\uff0e\u21d2\u5bfe\u51e6\u3057\u305f\uff0e<\/p>\n<p><font color=\"#cccccc\">\u25b2<\/font>B\u3092\u5909\u3048\u305f\u3068\u304d\uff0c\u4f55\u3082\u5916\u90e8\u51fa\u529b\u3055\u308c\u306a\u3044\uff0e\u21d2\u66ab\u5b9a\u4fee\u6b63\u3068\u3057\u3066BottomLine\u3092\u547c\u3073\u51fa\u3059\u3088\u3046\u306b\u3057\u305f\uff0e<\/p>\n<p><font color=\"#cccccc\">\u25b2<\/font>DispInvertFunc \u3067\u5faa\u74b0\u7bc0\u3092\u91cd\u8907\u3057\u3066\u751f\u6210\u3057\u3066\u3044\u308b\u3088\u3046\u3060\uff0e<\/p>\n<p>DispInvertFunc\u2192MakeRecurringDecimal\u2192\u203b\u2192DispParametor2<br \/>DispInvertFunc | Inverse.Click\u2192DispInvert\u2192\u203b<\/p>\n<p>\u6587\u5b57\u5217\u306e\u751f\u6210\u306fMakeRecurringDecimal\u306b\u7d71\u4e00\u3057\uff0cDispInvert\u306e\u4e2d\u304b\u3089\u547c\u3073\u51fa\u305b\u3070\u3088\u3044\u306e\u3067\u306f\uff1f\u3044\u3084\uff0cDispInvertFunc \u2192 DispInvert\u306e\u547c\u3073\u51fa\u3057\u306fDUMPNUMSTRING\u306e\u9650\u3089\u308c\u3066\u3044\u308b\u304b\u3089\u6b62\u3081\u3066\u3088\u3044\uff0e\u5f93\u3063\u3066\uff0c<\/p>\n<p>DispInvertFunc\u2192MakeRecurringDecimal\u2192\u203b\u2192DispParametor2<br \/>Inverse.Click\u2192DispInvert\u2192\u203b<\/p>\n<p>\u306e\u3088\u3046\u306b\u306a\u308b\uff0e\u3064\u307e\u308a\uff0cDispInvert\u306e\u8ad6\u7406\u3092MakeRecurringDecimal\u306e\u547c\u3073\u51fa\u3057\u306b\u5909\u3048\u308c\u3070\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u304b\uff1f\u3068\u3044\u3046\u304b\uff0cDispInvert\u3092\u5ec3\u6b62\u3057\u3066\uff0cInverse.Click\u2192DispInvert\u2192DispInvertFunc\u3067\u3082\u3088\u3044\u3088\u3046\u306a\u6c17\u304c\u3059\u308b\u304c\u2026 \u3044\u3084\uff0c\u305d\u3082\u305d\u3082\uff0cInverse.Click\u2192DispInvertFunc \u306f\u5b9f\u884c\u3055\u308c\u3066\u3044\u308b\uff0eInverse.Click\u3067\u306fDispInvertFunc\u306e\u5f8c\u306b\uff0cDispInvert\u3068DispRecurringDecimal\u3092\u5b9f\u884c\u3057\u3066\u3044\u308b\uff0eDispRecurringDecimal\u306f\u51fa\u529b\u753b\u9762\u306b\u300c\u5faa\u74b0\u5c0f\u6570\u300d\u306a\u3069\u306e\u60c5\u5831\u3092\u51fa\u529b\u3057\u3066\u3044\u308b\uff0e\u3053\u308c\u306fDispInvertFunc \u306b\u53d6\u308a\u8fbc\u3093\u3067\u3057\u307e\u3063\u305f\u65b9\u304c\u65e9\u3044\uff0e\u21d2DispInvert\u306f\u5ec3\u6b62\u3057\u305f\uff0e<\/p>\n<p><font color=\"#cccccc\">\u25b2<\/font>nR\u306e\u8a08\u7b97\u304c\u9593\u9055\u3063\u3066\u3044\u308b\u3088\u3046\u306a\u6c17\u304c\u3059\u308b\uff0eK=14\u306e\u3068\u304d\uff0cnR=14\u3068\u3044\u3046\u5024\u304c\u8868\u793a\u3055\u308c\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0cnR\u306fn%K\u306a\u306e\u3060\u304b\u3089nR&lt;14\u3067\u306a\u304f\u3066\u306f\u306a\u3089\u306a\u3044\uff0e\uff4eR\u306fK\u306e\u5270\u4f59\u3060\u304c\uff0c\u5c11\u3057\u3060\u3051\u9055\u3046\u3068\u3053\u308d\u304c\u3042\u308b\uff0e<strong>\uff4eR=0\u306e\u3068\u304d\u306b\u306f\uff0c\uff4eR=K\u3068\u306a\u308b\u3088\u3046\u306b\u8abf\u6574\u3057\u3066\u3042\u308b<\/strong>\u3068\u3053\u308d\u304c\u5473\u564c\u3060\uff0e\u3053\u308c\u306b\u3088\u3063\u3066\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u884c\u756a\u53f7\u3068\uff4eR\u304c\u4e00\u81f4\u3059\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u308b\uff0eeR\u306e\u5834\u5408\u3082\u540c\u69d8\u306e\u8abf\u6574\u304c\u5165\u3063\u3066\u3044\u308b\uff0e2023-06-07\u306e\u30ed\u30b0\u306b\u3088\u308c\u3070\uff0c<\/p>\n<p>\u300c\u305f\u3068\u3048\u3070\uff0cK=4\u306e\u3068\u304d\uff0ce=3, 6, 9\u3067\u306feR\u306f\uff10\u306b\u306a\u308b\u304c\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u6307\u6a19\u3068\u3057\u3066\u307f\u308b\u5834\u5408\u306b\u306f\uff10\u3068\u3044\u3046\u6570\u5b57\u306f\u73fe\u308c\u306a\u3044\u306e\u3067\uff0c<strong>eR=0 \u2192 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