{"id":2162,"date":"2025-03-18T00:00:00","date_gmt":"2025-03-18T00:00:00","guid":{"rendered":"urn:uuid:df6f1988-c375-48f4-b448-f994ff1c2955"},"modified":"2025-03-18T00:00:00","modified_gmt":"2025-03-18T00:00:00","slug":"hausutoruhuci-yuan","status":"publish","type":"post","link":"https:\/\/www.sekaiken.com\/?p=2162","title":{"rendered":"\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143"},"content":{"rendered":"<p>\u4eca\u56de\u89e3\u6c7a\u3055\u308c\u305f\u3068\u8a00\u308f\u308c\u3066\u3044\u308b\u554f\u984c\u306f\u3001\u300c\u639b\u8c37\u4e88\u60f3\u306e\uff13\u6b21\u5143\u7248\u3001\u3059\u306a\u308f\u3061\u3001\u300cn\u6b21\u5143\u306b\u304a\u3051\u308b\u639b\u8c37\u306e\u91dd\u96c6\u5408\u306e\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u304cn\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u4e88\u60f3\u304c\u3001n=3\u306e\u3068\u304d\u6b63\u3057\u3044\u300d\u3067\u3059\u3002\u639b\u8c37\u306e\u91dd\u96c6\u5408\u306f\u6628\u65e5\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u91dd\uff08\u7dda\u5206\uff09\u3092\u81ea\u7531\u306b\u56de\u8ee2\u3067\u304d\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u9818\u57df\u306e\u3053\u3068\u3067\u3059\u3002\u91dd\u3092\u56de\u8ee2\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u6b21\u5143\u304c\u5e73\u9762\u306e\u5834\u5408n=2, 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\/>\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%8F%E3%82%A6%E3%82%B9%E3%83%89%E3%83%AB%E3%83%95%E6%AC%A1%E5%85%83<\/p>\n<p>\u73fe\u4ee3\u3067\u306f\u300c\u30d5\u30e9\u30af\u30bf\u30eb\u300d\u304b\u3089\u8aac\u660e\u3059\u308b\u306e\u304c\u308f\u304b\u308a\u3084\u3059\u3044\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u30d5\u30e9\u30af\u30bf\u30eb\u306f\u3001\u81ea\u5df1\u76f8\u4f3c\u7684\u306a\u69cb\u9020\u304c\u7e70\u308a\u8fd4\u3055\u308c\u3066\u69cb\u6210\u3055\u308c\u308b\u56f3\u5f62\u3067\u3001\u30ea\u30a2\u30b9\u5f0f\u6d77\u5cb8\u306e\u6d77\u5cb8\u7dda\u3084\u3001\u96f2\u306e\u3082\u304f\u3082\u304f\u3057\u305f\u5f62\u3001\u7e70\u308a\u8fd4\u3057\u679d\u5206\u304b\u308c\u3059\u308b\u6728\u306e\u679d\u306e\u5f62\u306a\u3069\u3092\u7c21\u5358\u306b\u8a18\u8ff0\u3059\u308b\u4f53\u7cfb\u3067\u3059\u3002\u305d\u306e\u5b9a\u7fa9\u306f\u3001\u300c\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u304c\u6574\u6570\u3067\u306a\u3044\u3082\u306e\u300d\u3068\u63d0\u5531\u8005\u306eB.Mandelbrot\u306f\u8a00\u3063\u3066\u3044\u307e\u3059\u3002\u6570\u5b66\u7684\u306a\u7c21\u5358\u306a\u4f8b\u3068\u3057\u3066\u306f\u30ab\u30f3\u30c8\u30fc\u30eb\u96c6\u5408\u3084\u30b3\u30c3\u30db\u66f2\u7dda\u304c\u3042\u308a\u307e\u3059\u3002\u30ab\u30f3\u30c8\u30fc\u30eb\u96c6\u5408\u306f\u7dda\u5206\u306e\u771f\u3093\u4e2d1\/3\u3092\u629c\u304d\u53d6\u308a\u3001\u6b8b\u3063\u305f\uff12\u3064\u306e\u7dda\u5206\u3082\u4e21\u65b9\u304b\u3089\u771f\u3093\u4e2d1\/3\u3092\u629c\u304f\u3001\u3068\u3044\u3046\u64cd\u4f5c\u3092\u7e70\u308a\u8fd4\u3059\u3082\u306e\u3067\u3001\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u306flog2\/log3=0.6309&hellip;\u3068\u306a\u308a\u3001\u3082\u3068\u3082\u3068\u306e\u7dda\u5206\u306e\u6b21\u5143\u3067\u3042\u308b\uff11\u3088\u308a\u5c0f\u3055\u3044\u3067\u3059\u3002\u30b3\u30c3\u30db\u306e\u96ea\u7247\u66f2\u7dda\u306f\u7dda\u5206\u306e1\/3\u3092\u6b63\u4e09\u89d2\u5f62\u306e2\u8fba\u306b\u7f6e\u304d\u63db\u3048\u308b\u3082\u306e\u3067\u3001\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u306flog4\/log3=1.2618&hellip;\u3068\u306a\u308a\u3001\u7dda\u5206\u306e\u6b21\u5143\u3067\u3042\u308b1\u3088\u308a\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u304c\u3001\u5e73\u9762\u306e\u6b21\u51432\u3088\u308a\u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u7269\u5dee\u3057\u3092S\u500d\u306b\u7e2e\u5c0f\u3057\u305f\u6642\u306b\u6e2c\u3063\u305f\u9577\u3055\u304c\u4f55\u500d\uff08N\u500d\uff09\u306b\u306a\u308b\u304b\u3001\u3068\u3044\u3046\u5024\u304b\u3089N=S^D\u3068\u3044\u3046\u5f0f\u306eD\u3068\u3057\u3066\u51fa\u3066\u304d\u307e\u3059(D=logN\/logS)\u3002<br 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mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension,that was introduced in 1918 by mathematician Felix Hausdorff.&rdquo;<br \/>\ndimension \u6b21\u5143<br \/>\nroughness \u7c97\u3055<br \/>\nfractal \u30d5\u30e9\u30af\u30bf\u30eb<br \/>\n&ldquo;For instance, the Koch snow flake shown at right is constructed from an equilateral triangle; in each iteration, its component line segments are divided into 3 segments of unit length, the newly created middle segment is used as the base of a new equilateral triangle that points outward, and this base segment is then deleted to leave a final object from the iteration of unit length of 4.<br \/>\nThat is, after\u3000the first iteration, each original line segment has been replaced with N=4, where each self-similar copy is 1\/S = 1\/3 as long as the original.&rdquo;<br \/>\nthe Koch snow flake \u30b3\u30c3\u30db\u96ea\u7247\u66f2\u7dda<br \/>\nbe constructed from ~\u304b\u3089\u69cb\u6210\u3055\u308c\u308b<br \/>\nan equilateral triangle \u6b63\u4e09\u89d2\u5f62<br \/>\noutward \u5916\u5074\u306b<br \/>\niteration \u7e70\u308a\u8fd4\u3057<br \/>\n\u201dStated another way, we have taken an object with\u3000Euclidean dimension, D, and reduced its linear scale by 1\/3 in each direction, so that its length\u3000increases to N=S^D. This equation is easily solved for D, yielding the ratio of logarithms (or natural logarithms) appearing in the figures, and giving \u2014 in the Koch and other fractal cases \u2014 non-integer dimensions for these objects.\u201d<br \/>\nEuclidean \u30e6\u30fc\u30af\u308a\u300c\u30c7\u30a3\u300d\u30a2\u30f3\u3000\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306e<br \/>\nyielding \uff5e\u3092\u751f\u307f\u51fa\u3059\u3001\uff5e\u304c\u7b97\u51fa\u3055\u308c\u308b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u56de\u89e3\u6c7a\u3055\u308c\u305f\u3068\u8a00\u308f\u308c\u3066\u3044\u308b\u554f\u984c\u306f\u3001\u300c\u639b\u8c37\u4e88\u60f3\u306e\uff13\u6b21\u5143\u7248\u3001\u3059\u306a\u308f\u3061\u3001\u300cn\u6b21\u5143\u306b\u304a\u3051\u308b\u639b\u8c37\u306e\u91dd\u96c6\u5408\u306e\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u304cn\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u4e88\u60f3\u304c\u3001n=3\u306e\u3068\u304d\u6b63\u3057\u3044\u300d\u3067\u3059\u3002\u639b\u8c37\u306e\u91dd\u96c6\u5408\u306f\u6628\u65e5\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u91dd\uff08\u7dda\u5206\uff09\u3092\u81ea\u7531\u306b\u56de\u8ee2\u3067\u304d\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u9818\u57df\u306e\u3053\u3068\u3067\u3059\u3002\u91dd\u3092\u56de\u8ee2\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u6b21\u5143\u304c\u5e73\u9762\u306e\u5834\u5408n=2, 3\u6b21\u5143\u7a7a\u9593\u306e\u5834\u5408n=3\u3067\u3059\u3002\u6628\u65e5\u306f\u3001\u639b\u8c37\u306e\u91dd\u96c6\u5408\u306e\u9762\u7a4d\u304c\u4efb\u610f\u306e\u6b63\u306e\u5024\u3088\u308a\u3082\u5c0f\u3055\u3044\uff08\u901a\u5e38\u306e\u610f\u5473\u3067\u306f\u30bc\u30ed\u3067\u3059\u304c\u3001\u30bc\u30ed\u3068\u306f\u9055\u3046\u3068\u8a00\u3044\u305f\u3044\u3088\u3046\u3067\u3059\uff09\u3053\u3068\u3092\u8ff0\u3079\u307e\u3057\u305f\u3002\u639b\u8c37\u4e88\u60f3\u306f2\u6b21\u5143\u306e\u6642\u306f\u3059\u3067\u306b\u8a3c\u660e\u3055\u308c\u3066\u3044\u3066\u3001\u4eca\u56de\u306fn=3\u304c\u89e3\u6c7a\u3055\u308c\u305f\u3068\u3044\u3046\u30cb\u30e5\u30fc\u30b9\u3067\u3059\u3002\u3055\u3066\u3001\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u3068\u3044\u3046\u306e\u304c\u66f2\u8005\u3067\u3059\u3002 htt&hellip;<\/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-2162","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\/2162","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=2162"}],"version-history":[{"count":0,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2162\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}