. "\u00BFCu\u00E1nto mide la costa de Gran Breta\u00F1a?"@es . . . . . "Qual o Comprimento da Costa da Inglaterra? Autossimilaridade Estat\u00EDstica e Dimens\u00E3o Fracion\u00E1ria"@pt . "\u03A0\u03CC\u03C3\u03BF \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C4\u03BF \u03BC\u03AE\u03BA\u03BF\u03C2 \u03C4\u03C9\u03BD \u03B1\u03BA\u03C4\u03CE\u03BD \u03C4\u03B9\u03C2 \u0392\u03C1\u03B5\u03C4\u03B1\u03BD\u03AF\u03B1\u03C2; \u03A3\u03C4\u03B1\u03C4\u03B9\u03C3\u03C4\u03B9\u03BA\u03AE \u03B1\u03C5\u03C4\u03BF\u03BF\u03BC\u03BF\u03B9\u03CC\u03C4\u03B7\u03C4\u03B1 \u03BA\u03B1\u03B9 \u03BC\u03BF\u03C1\u03C6\u03BF\u03BA\u03BB\u03B1\u03C3\u03BC\u03B1\u03C4\u03B9\u03BA\u03AE \u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C3\u03B7 (How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension) \u03B5\u03AF\u03BD\u03B1\u03B9 \u03BF \u03C4\u03AF\u03C4\u03BB\u03BF\u03C2 \u03BC\u03AF\u03B1\u03C2 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE\u03C2 \u03C4\u03BF\u03C5 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03BF\u03CD \u039C\u03C0\u03B5\u03BD\u03BF\u03C5\u03AC \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4, \u03B7 \u03BF\u03C0\u03BF\u03AF\u03B1 \u03C0\u03C1\u03C9\u03C4\u03BF\u03B4\u03B7\u03BC\u03BF\u03C3\u03B9\u03B5\u03CD\u03C4\u03B7\u03BA\u03B5 \u03C3\u03C4\u03BF \u03C0\u03B5\u03C1\u03B9\u03BF\u03B4\u03B9\u03BA\u03CC Science \u03C4\u03BF 1967. \u03A3\u03B5 \u03B1\u03C5\u03C4\u03AE \u03C4\u03B7 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE \u03BF \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03B5\u03BE\u03B5\u03C4\u03AC\u03B6\u03B5\u03B9 \u03BA\u03B1\u03BC\u03C0\u03CD\u03BB\u03B5\u03C2 \u03BC\u03B5 \u03BC\u03B5\u03C4\u03B1\u03BE\u03CD 1 \u03BA\u03B1\u03B9 2. \u0391\u03C5\u03C4\u03AD\u03C2 \u03BF\u03B9 \u03BA\u03B1\u03BC\u03C0\u03CD\u03BB\u03B5\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C0\u03B1\u03C1\u03B1\u03B4\u03B5\u03AF\u03B3\u03BC\u03B1\u03C4\u03B1 \u03C6\u03C1\u03AC\u03BA\u03C4\u03B1\u03BB, \u03B1\u03BD \u03BA\u03B1\u03B9 \u03BF \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03B4\u03B5\u03BD \u03C7\u03C1\u03B7\u03C3\u03B9\u03BC\u03BF\u03C0\u03BF\u03B9\u03B5\u03AF \u03C4\u03BF\u03BD \u03CC\u03C1\u03BF \u03C3\u03C4\u03B7 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE, \u03BA\u03B1\u03B8\u03CE\u03C2 \u03C4\u03BF\u03BD \u03B5\u03B9\u03C3\u03B7\u03B3\u03AE\u03B8\u03B7\u03BA\u03B5 \u03C4\u03BF 1975. \u0397 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE \u03B1\u03C0\u03BF\u03C4\u03B5\u03BB\u03B5\u03AF \u03C4\u03B7\u03BD \u03C0\u03C1\u03CE\u03C4\u03B7 \u03C4\u03BF\u03C5 \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03C0\u03AC\u03BD\u03C9 \u03C3\u03C4\u03BF \u03B8\u03AD\u03BC\u03B1 \u03C4\u03C9\u03BD \u03C6\u03C1\u03AC\u03BA\u03C4\u03B1\u03BB."@el . "\u300A\u82F1\u570B\u7684\u6D77\u5CB8\u7DDA\u6709\u591A\u9577\uFF1F\u7D71\u8A08\u81EA\u76F8\u4F3C\u548C\u5206\u6578\u7DAD\u5EA6\u300B\uFF08\u82F1\u8A9E\uFF1AHow Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\uFF09\uFF0C\u662F\u7531\u6CD5\u570B\u3001\u7F8E\u570B\u6578\u5B78\u5BB6\u672C\u83EF\u00B7\u66FC\u5FB7\u535A\uFF08Beno\u00EEt B. Mandelbrot\uFF09\u64B0\u5BEB\u7684\u8AD6\u6587\uFF0C\u6700\u521D\u57281967\u5E74\u65BC\u300A\u79D1\u5B78\u300B\u767C\u8868\u3002\u5728\u9019\u7BC7\u8AD6\u6587\u5167\u66FC\u5FB7\u535A\u8A0E\u8AD6\u4E86\u7DAD\u5EA6\u65BC1\u548C2\u4E4B\u9593\u7684\u81EA\u76F8\u4F3C\u66F2\u7DDA\u3002\u96D6\u7136\u66FC\u5FB7\u535A\u6C92\u6709\u4F7F\u7528\u5206\u5F62\uFF08fractal\uFF09\u9019\u500B\u8A5E\u5F59\uFF0C\u60DF\u9019\u4E9B\u66F2\u7DDA\u5747\u70BA\u5206\u5F62\u3002 \u8AD6\u6587\u7684\u9996\u90E8\u5206\uFF0C\u66FC\u5FB7\u535A\u8A0E\u8AD6\u4E86\u82F1\u570B\u6578\u5B78\u5BB6\u8DEF\u6613\u65AF\u00B7\u5F17\u83B1\u00B7\u7406\u67E5\u5FB7\u68EE\uFF08Lewis Fry Richardson\uFF09\u5C0D\u6D77\u5CB8\u7DDA\u8207\u5176\u4ED6\u81EA\u7136\u5730\u7406\u908A\u754C\u7684\u6E2C\u91CF\u51FA\u4F86\u7684\u9577\u5EA6\u5982\u4F55\u4F9D\u8CF4\u6E2C\u91CF\u5C3A\u5EA6\u7684\u7814\u7A76\u3002\u7406\u67E5\u68EE\u89C0\u5BDF\u5230\uFF0C\u4E0D\u540C\u570B\u5BB6\u908A\u754C\u6E2C\u91CF\u51FA\u4F86\u7684\u9577\u5EA6\u662F\u6E2C\u91CF\u5C3A\u5EA6\u7684\u4E00\u500B\u51FD\u6570\u3002\u4ED6\u5F9E\u4E0D\u540C\u7684\u597D\u5E7E\u500B\u4F8B\u5B50\u88CF\u641C\u96C6\u8CC7\u6599\uFF0C\u7136\u5F8C\u731C\u60F3\u53EF\u4EE5\u900F\u904E\u4EE5\u4E0B\u5F62\u5F0F\u7684\u4E00\u500B\u51FD\u6578\u4F86\u4F30\u8A08\uFF1A \u66FC\u5FB7\u535A\u5C07\u6B64\u7D50\u679C\u8A6E\u91CB\u6210\u986F\u793A\u6D77\u5CB8\u7DDA\u548C\u5176\u4ED6\u5730\u7406\u908A\u754C\u53EF\u6709\u7D71\u8A08\u81EA\u76F8\u4F3C\u7684\u6027\u8CEA\uFF0C\u800C\u6307\u6578\u5247\u8A08\u7B97\u908A\u754C\u7684\u8C6A\u65AF\u9053\u592B\u7DAD\u5EA6\uFF08Hausdorff-Besicovitch Dimension\uFF09\u3002\u900F\u904E\u9019\u500B\u770B\u6CD5\uFF0C\u7406\u67E5\u68EE\u7684\u7814\u7A76\u7684\u4F8B\u5B50\u7684\u6709\u8457\u5F9E\u5357\u975E\u6D77\u5CB8\u7DDA\u76841.02\u5230\u82F1\u570B\u897F\u5CB8\u76841.25\u7684\u7DAD\u5EA6\u3002 \u5728\u8AD6\u6587\u7684\u7B2C\u4E8C\u90E8\u5206\uFF0C\u66FC\u5FB7\u535A\u63CF\u8FF0\u4E86\u4E0D\u540C\u7684\u95DC\u65BC\u79D1\u8D6B\u96EA\u82B1\u7684\u66F2\u7DDA\uFF0C\u5B83\u5011\u90FD\u662F\u6A19\u6E96\u7684\u81EA\u76F8\u4F3C\u5716\u5F62\u3002\u66FC\u5FB7\u535A\u986F\u793A\u8A08\u7B97\u5B83\u5011\u7684\u8C6A\u65AF\u9053\u592B\u7DAD\u5EA6\u7684\u65B9\u6CD5\uFF0C\u5B83\u5011\u7684\u7DAD\u5EA6\u90FD\u662F1\u548C2\u4E4B\u9593\u3002\u4ED6\u4EA6\u63D0\u53CA\u586B\u6EFF\u7A7A\u9593\u3001\u7DAD\u5EA6\u70BA2\u7684\u76AE\u4E9E\u8AFE\u66F2\u7DDA\uFF0C\u4F46\u4E26\u672A\u7D66\u51FA\u5176\u69CB\u9020\u3002 \u9019\u7BC7\u8AD6\u6587\u5F88\u91CD\u8981\uFF0C\u56E0\u70BA\u5B83\u65E2\u986F\u793A\u4E86\u66FC\u5FB7\u535A\u65E9\u671F\u5C0D\u5206\u5F62\u7684\u601D\u60F3\uFF0C\u540C\u6642\u53C8\u662F\u6578\u5B78\u7269\u4EF6\u548C\u81EA\u7136\u5F62\u5F0F\u7684\u806F\u7D50\u7684\u4F8B\u5B50\u2014\u2014\u66FC\u5FB7\u535A\u4EE5\u5F8C\u5F88\u591A\u5DE5\u4F5C\u7684\u4E3B\u984C\u3002"@zh . "\u00AB\u041A\u0430\u043A\u043E\u0432\u0430 \u0434\u043B\u0438\u043D\u0430 \u043F\u043E\u0431\u0435\u0440\u0435\u0436\u044C\u044F \u0412\u0435\u043B\u0438\u043A\u043E\u0431\u0440\u0438\u0442\u0430\u043D\u0438\u0438? \u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u0438\u0435 \u0438 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u044C\u043D\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C\u00BB (\u0430\u043D\u0433\u043B. How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension) \u2014 \u0441\u0442\u0430\u0442\u044C\u044F \u0444\u0440\u0430\u043D\u0446\u0443\u0437\u0441\u043A\u043E-\u0430\u043C\u0435\u0440\u0438\u043A\u0430\u043D\u0441\u043A\u043E\u0433\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0411\u0435\u043D\u0443\u0430 \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442\u0430, \u0432\u043F\u0435\u0440\u0432\u044B\u0435 \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D\u043D\u0430\u044F \u0432 \u0436\u0443\u0440\u043D\u0430\u043B\u0435 Science \u0432 1967 \u0433\u043E\u0434\u0443. \u0412 \u044D\u0442\u043E\u0439 \u0441\u0442\u0430\u0442\u044C\u0435 \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442 \u0440\u0430\u0441\u0441\u043C\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u043D\u044B\u0435 \u043A\u0440\u0438\u0432\u044B\u0435, \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u0438\u043C\u0435\u044E\u0442 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C \u0425\u0430\u0443\u0441\u0434\u043E\u0440\u0444\u0430 \u043C\u0435\u0436\u0434\u0443 1 \u0438 2. \u042D\u0442\u0438 \u043A\u0440\u0438\u0432\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u044F\u044E\u0442 \u0441\u043E\u0431\u043E\u0439 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u044B, \u0445\u043E\u0442\u044F \u0441\u0430\u043C \u0442\u0435\u0440\u043C\u0438\u043D \u00AB\u0444\u0440\u0430\u043A\u0442\u0430\u043B\u00BB \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442 \u0432\u0432\u0451\u043B \u0432 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u043B\u0435\u043D\u0438\u0435 \u043B\u0438\u0448\u044C \u0432 1975 \u0433\u043E\u0434\u0443. \u0421\u0442\u0430\u0442\u044C\u044F \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442\u0430 \u044F\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043E\u0434\u043D\u043E\u0439 \u0438\u0437 \u043F\u0435\u0440\u0432\u044B\u0445 \u0435\u0433\u043E \u043F\u0443\u0431\u043B\u0438\u043A\u0430\u0446\u0438\u0439 \u043F\u043E \u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0435 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u043E\u0432."@ru . "\"How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\" is a paper by mathematician Benoit Mandelbrot, first published in Science on 5 May 1967. In this paper, Mandelbrot discusses self-similar curves that have Hausdorff dimension between 1 and 2. These curves are examples of fractals, although Mandelbrot does not use this term in the paper, as he did not coin it until 1975. The paper is one of Mandelbrot's first publications on the topic of fractals."@en . "5283"^^ . . "\u03A0\u03CC\u03C3\u03BF \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C4\u03BF \u03BC\u03AE\u03BA\u03BF\u03C2 \u03C4\u03C9\u03BD \u03B1\u03BA\u03C4\u03CE\u03BD \u03C4\u03B7\u03C2 \u0392\u03C1\u03B5\u03C4\u03B1\u03BD\u03AF\u03B1\u03C2; \u03A3\u03C4\u03B1\u03C4\u03B9\u03C3\u03C4\u03B9\u03BA\u03AE \u03B1\u03C5\u03C4\u03BF\u03BF\u03BC\u03BF\u03B9\u03CC\u03C4\u03B7\u03C4\u03B1 \u03BA\u03B1\u03B9 \u03BC\u03BF\u03C1\u03C6\u03BF\u03BA\u03BB\u03B1\u03C3\u03BC\u03B1\u03C4\u03B9\u03BA\u03AE \u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C3\u03B7"@el . . "\u300A\u82F1\u570B\u7684\u6D77\u5CB8\u7DDA\u6709\u591A\u9577\uFF1F\u7D71\u8A08\u81EA\u76F8\u4F3C\u548C\u5206\u6578\u7DAD\u5EA6\u300B\uFF08\u82F1\u8A9E\uFF1AHow Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\uFF09\uFF0C\u662F\u7531\u6CD5\u570B\u3001\u7F8E\u570B\u6578\u5B78\u5BB6\u672C\u83EF\u00B7\u66FC\u5FB7\u535A\uFF08Beno\u00EEt B. Mandelbrot\uFF09\u64B0\u5BEB\u7684\u8AD6\u6587\uFF0C\u6700\u521D\u57281967\u5E74\u65BC\u300A\u79D1\u5B78\u300B\u767C\u8868\u3002\u5728\u9019\u7BC7\u8AD6\u6587\u5167\u66FC\u5FB7\u535A\u8A0E\u8AD6\u4E86\u7DAD\u5EA6\u65BC1\u548C2\u4E4B\u9593\u7684\u81EA\u76F8\u4F3C\u66F2\u7DDA\u3002\u96D6\u7136\u66FC\u5FB7\u535A\u6C92\u6709\u4F7F\u7528\u5206\u5F62\uFF08fractal\uFF09\u9019\u500B\u8A5E\u5F59\uFF0C\u60DF\u9019\u4E9B\u66F2\u7DDA\u5747\u70BA\u5206\u5F62\u3002 \u8AD6\u6587\u7684\u9996\u90E8\u5206\uFF0C\u66FC\u5FB7\u535A\u8A0E\u8AD6\u4E86\u82F1\u570B\u6578\u5B78\u5BB6\u8DEF\u6613\u65AF\u00B7\u5F17\u83B1\u00B7\u7406\u67E5\u5FB7\u68EE\uFF08Lewis Fry Richardson\uFF09\u5C0D\u6D77\u5CB8\u7DDA\u8207\u5176\u4ED6\u81EA\u7136\u5730\u7406\u908A\u754C\u7684\u6E2C\u91CF\u51FA\u4F86\u7684\u9577\u5EA6\u5982\u4F55\u4F9D\u8CF4\u6E2C\u91CF\u5C3A\u5EA6\u7684\u7814\u7A76\u3002\u7406\u67E5\u68EE\u89C0\u5BDF\u5230\uFF0C\u4E0D\u540C\u570B\u5BB6\u908A\u754C\u6E2C\u91CF\u51FA\u4F86\u7684\u9577\u5EA6\u662F\u6E2C\u91CF\u5C3A\u5EA6\u7684\u4E00\u500B\u51FD\u6570\u3002\u4ED6\u5F9E\u4E0D\u540C\u7684\u597D\u5E7E\u500B\u4F8B\u5B50\u88CF\u641C\u96C6\u8CC7\u6599\uFF0C\u7136\u5F8C\u731C\u60F3\u53EF\u4EE5\u900F\u904E\u4EE5\u4E0B\u5F62\u5F0F\u7684\u4E00\u500B\u51FD\u6578\u4F86\u4F30\u8A08\uFF1A \u66FC\u5FB7\u535A\u5C07\u6B64\u7D50\u679C\u8A6E\u91CB\u6210\u986F\u793A\u6D77\u5CB8\u7DDA\u548C\u5176\u4ED6\u5730\u7406\u908A\u754C\u53EF\u6709\u7D71\u8A08\u81EA\u76F8\u4F3C\u7684\u6027\u8CEA\uFF0C\u800C\u6307\u6578\u5247\u8A08\u7B97\u908A\u754C\u7684\u8C6A\u65AF\u9053\u592B\u7DAD\u5EA6\uFF08Hausdorff-Besicovitch Dimension\uFF09\u3002\u900F\u904E\u9019\u500B\u770B\u6CD5\uFF0C\u7406\u67E5\u68EE\u7684\u7814\u7A76\u7684\u4F8B\u5B50\u7684\u6709\u8457\u5F9E\u5357\u975E\u6D77\u5CB8\u7DDA\u76841.02\u5230\u82F1\u570B\u897F\u5CB8\u76841.25\u7684\u7DAD\u5EA6\u3002 \u9019\u7BC7\u8AD6\u6587\u5F88\u91CD\u8981\uFF0C\u56E0\u70BA\u5B83\u65E2\u986F\u793A\u4E86\u66FC\u5FB7\u535A\u65E9\u671F\u5C0D\u5206\u5F62\u7684\u601D\u60F3\uFF0C\u540C\u6642\u53C8\u662F\u6578\u5B78\u7269\u4EF6\u548C\u81EA\u7136\u5F62\u5F0F\u7684\u806F\u7D50\u7684\u4F8B\u5B50\u2014\u2014\u66FC\u5FB7\u535A\u4EE5\u5F8C\u5F88\u591A\u5DE5\u4F5C\u7684\u4E3B\u984C\u3002"@zh . . . . . "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension \u00E8 un articolo scientifico pubblicato dal matematico polacco-francese Beno\u00EEt Mandelbrot su Science nel 1967. Nell'articolo Mandelbrot studia l'autosimilarit\u00E0 tra curve con dimensione di Hausdorff compresa tra 1 e 2: tali curve sono esempi di frattali, anche se Mandelbrot nella pubblicazione non usa il termine, che verr\u00E0 introdotto solo nel 1975. L'articolo \u00E8 una delle prime pubblicazioni di Mandelbrot riguardante i frattali."@it . . . . . "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension \u00E8 un articolo scientifico pubblicato dal matematico polacco-francese Beno\u00EEt Mandelbrot su Science nel 1967. Nell'articolo Mandelbrot studia l'autosimilarit\u00E0 tra curve con dimensione di Hausdorff compresa tra 1 e 2: tali curve sono esempi di frattali, anche se Mandelbrot nella pubblicazione non usa il termine, che verr\u00E0 introdotto solo nel 1975. L'articolo \u00E8 una delle prime pubblicazioni di Mandelbrot riguardante i frattali. L'articolo \u00E8 importante in quanto rappresenta un punto di svolta nel primo approccio di Mandelbrot allo studio dei frattali, ed \u00E8 un esempio di collegamento tra oggetti matematici e forme naturali che caratterizzer\u00E0 buona parte del suo lavoro successivo."@it . . . "802867"^^ . "\u03A0\u03CC\u03C3\u03BF \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C4\u03BF \u03BC\u03AE\u03BA\u03BF\u03C2 \u03C4\u03C9\u03BD \u03B1\u03BA\u03C4\u03CE\u03BD \u03C4\u03B9\u03C2 \u0392\u03C1\u03B5\u03C4\u03B1\u03BD\u03AF\u03B1\u03C2; \u03A3\u03C4\u03B1\u03C4\u03B9\u03C3\u03C4\u03B9\u03BA\u03AE \u03B1\u03C5\u03C4\u03BF\u03BF\u03BC\u03BF\u03B9\u03CC\u03C4\u03B7\u03C4\u03B1 \u03BA\u03B1\u03B9 \u03BC\u03BF\u03C1\u03C6\u03BF\u03BA\u03BB\u03B1\u03C3\u03BC\u03B1\u03C4\u03B9\u03BA\u03AE \u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C3\u03B7 (How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension) \u03B5\u03AF\u03BD\u03B1\u03B9 \u03BF \u03C4\u03AF\u03C4\u03BB\u03BF\u03C2 \u03BC\u03AF\u03B1\u03C2 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE\u03C2 \u03C4\u03BF\u03C5 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03BF\u03CD \u039C\u03C0\u03B5\u03BD\u03BF\u03C5\u03AC \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4, \u03B7 \u03BF\u03C0\u03BF\u03AF\u03B1 \u03C0\u03C1\u03C9\u03C4\u03BF\u03B4\u03B7\u03BC\u03BF\u03C3\u03B9\u03B5\u03CD\u03C4\u03B7\u03BA\u03B5 \u03C3\u03C4\u03BF \u03C0\u03B5\u03C1\u03B9\u03BF\u03B4\u03B9\u03BA\u03CC Science \u03C4\u03BF 1967. \u03A3\u03B5 \u03B1\u03C5\u03C4\u03AE \u03C4\u03B7 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE \u03BF \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03B5\u03BE\u03B5\u03C4\u03AC\u03B6\u03B5\u03B9 \u03BA\u03B1\u03BC\u03C0\u03CD\u03BB\u03B5\u03C2 \u03BC\u03B5 \u03BC\u03B5\u03C4\u03B1\u03BE\u03CD 1 \u03BA\u03B1\u03B9 2. \u0391\u03C5\u03C4\u03AD\u03C2 \u03BF\u03B9 \u03BA\u03B1\u03BC\u03C0\u03CD\u03BB\u03B5\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C0\u03B1\u03C1\u03B1\u03B4\u03B5\u03AF\u03B3\u03BC\u03B1\u03C4\u03B1 \u03C6\u03C1\u03AC\u03BA\u03C4\u03B1\u03BB, \u03B1\u03BD \u03BA\u03B1\u03B9 \u03BF \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03B4\u03B5\u03BD \u03C7\u03C1\u03B7\u03C3\u03B9\u03BC\u03BF\u03C0\u03BF\u03B9\u03B5\u03AF \u03C4\u03BF\u03BD \u03CC\u03C1\u03BF \u03C3\u03C4\u03B7 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE, \u03BA\u03B1\u03B8\u03CE\u03C2 \u03C4\u03BF\u03BD \u03B5\u03B9\u03C3\u03B7\u03B3\u03AE\u03B8\u03B7\u03BA\u03B5 \u03C4\u03BF 1975. \u0397 \u03B4\u03B9\u03B1\u03C4\u03C1\u03B9\u03B2\u03AE \u03B1\u03C0\u03BF\u03C4\u03B5\u03BB\u03B5\u03AF \u03C4\u03B7\u03BD \u03C0\u03C1\u03CE\u03C4\u03B7 \u03C4\u03BF\u03C5 \u039C\u03AC\u03BD\u03C4\u03B5\u03BB\u03BC\u03C0\u03C1\u03BF\u03C4 \u03C0\u03AC\u03BD\u03C9 \u03C3\u03C4\u03BF \u03B8\u03AD\u03BC\u03B1 \u03C4\u03C9\u03BD \u03C6\u03C1\u03AC\u03BA\u03C4\u03B1\u03BB."@el . . "\u82F1\u570B\u7684\u6D77\u5CB8\u7DDA\u6709\u591A\u9577\uFF1F\u7D71\u8A08\u81EA\u76F8\u4F3C\u548C\u5206\u6578\u7DAD\u5EA6"@zh . . . . . . . . "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension"@it . . . . . . "\"Qual o Comprimento da Costa da Inglaterra? Auto-Similaridade Estat\u00EDstica e Dimens\u00E3o Fracion\u00E1ria\" \u00E9 o t\u00EDtulo de um artigo escrito pelo matem\u00E1tico Benoit Mandelbrot e publicado na Science, em 1967. Nesse artigo Mandelbrot discute curvas auto-similares que possuem dimens\u00E3o de Hausdorff entre compreendida 1 e 2. Essas curvas s\u00E3o exemplos de fractais, muito embora Mandelbrot n\u00E3o utilize esse termo no artigo; na verdade, Mandelbrot cunhou esse termo apenas em 1975. \u00C9 um dos primeiros artigos publicados por Mandelbrot a respeito dos fractais."@pt . "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension"@en . . . . . . . . "\"Qual o Comprimento da Costa da Inglaterra? Auto-Similaridade Estat\u00EDstica e Dimens\u00E3o Fracion\u00E1ria\" \u00E9 o t\u00EDtulo de um artigo escrito pelo matem\u00E1tico Benoit Mandelbrot e publicado na Science, em 1967. Nesse artigo Mandelbrot discute curvas auto-similares que possuem dimens\u00E3o de Hausdorff entre compreendida 1 e 2. Essas curvas s\u00E3o exemplos de fractais, muito embora Mandelbrot n\u00E3o utilize esse termo no artigo; na verdade, Mandelbrot cunhou esse termo apenas em 1975. \u00C9 um dos primeiros artigos publicados por Mandelbrot a respeito dos fractais."@pt . "\"How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\" is a paper by mathematician Benoit Mandelbrot, first published in Science on 5 May 1967. In this paper, Mandelbrot discusses self-similar curves that have Hausdorff dimension between 1 and 2. These curves are examples of fractals, although Mandelbrot does not use this term in the paper, as he did not coin it until 1975. The paper is one of Mandelbrot's first publications on the topic of fractals."@en . "1103925371"^^ . . "\u041A\u0430\u043A\u043E\u0432\u0430 \u0434\u043B\u0438\u043D\u0430 \u043F\u043E\u0431\u0435\u0440\u0435\u0436\u044C\u044F \u0412\u0435\u043B\u0438\u043A\u043E\u0431\u0440\u0438\u0442\u0430\u043D\u0438\u0438?"@ru . . "\u00AB\u041A\u0430\u043A\u043E\u0432\u0430 \u0434\u043B\u0438\u043D\u0430 \u043F\u043E\u0431\u0435\u0440\u0435\u0436\u044C\u044F \u0412\u0435\u043B\u0438\u043A\u043E\u0431\u0440\u0438\u0442\u0430\u043D\u0438\u0438? \u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u0438\u0435 \u0438 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u044C\u043D\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C\u00BB (\u0430\u043D\u0433\u043B. How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension) \u2014 \u0441\u0442\u0430\u0442\u044C\u044F \u0444\u0440\u0430\u043D\u0446\u0443\u0437\u0441\u043A\u043E-\u0430\u043C\u0435\u0440\u0438\u043A\u0430\u043D\u0441\u043A\u043E\u0433\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0411\u0435\u043D\u0443\u0430 \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442\u0430, \u0432\u043F\u0435\u0440\u0432\u044B\u0435 \u043E\u043F\u0443\u0431\u043B\u0438\u043A\u043E\u0432\u0430\u043D\u043D\u0430\u044F \u0432 \u0436\u0443\u0440\u043D\u0430\u043B\u0435 Science \u0432 1967 \u0433\u043E\u0434\u0443. \u0412 \u044D\u0442\u043E\u0439 \u0441\u0442\u0430\u0442\u044C\u0435 \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442 \u0440\u0430\u0441\u0441\u043C\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442 \u0441\u0430\u043C\u043E\u043F\u043E\u0434\u043E\u0431\u043D\u044B\u0435 \u043A\u0440\u0438\u0432\u044B\u0435, \u043A\u043E\u0442\u043E\u0440\u044B\u0435 \u0438\u043C\u0435\u044E\u0442 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442\u044C \u0425\u0430\u0443\u0441\u0434\u043E\u0440\u0444\u0430 \u043C\u0435\u0436\u0434\u0443 1 \u0438 2. \u042D\u0442\u0438 \u043A\u0440\u0438\u0432\u044B\u0435 \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u044F\u044E\u0442 \u0441\u043E\u0431\u043E\u0439 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u044B, \u0445\u043E\u0442\u044F \u0441\u0430\u043C \u0442\u0435\u0440\u043C\u0438\u043D \u00AB\u0444\u0440\u0430\u043A\u0442\u0430\u043B\u00BB \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442 \u0432\u0432\u0451\u043B \u0432 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u043B\u0435\u043D\u0438\u0435 \u043B\u0438\u0448\u044C \u0432 1975 \u0433\u043E\u0434\u0443. \u0421\u0442\u0430\u0442\u044C\u044F \u041C\u0430\u043D\u0434\u0435\u043B\u044C\u0431\u0440\u043E\u0442\u0430 \u044F\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043E\u0434\u043D\u043E\u0439 \u0438\u0437 \u043F\u0435\u0440\u0432\u044B\u0445 \u0435\u0433\u043E \u043F\u0443\u0431\u043B\u0438\u043A\u0430\u0446\u0438\u0439 \u043F\u043E \u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0435 \u0444\u0440\u0430\u043A\u0442\u0430\u043B\u043E\u0432."@ru . "\u00AB\u00BFCu\u00E1nto mide la costa de Gran Breta\u00F1a?\u00BB (en ingl\u00E9s, \u00ABHow Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\u00BB) es un art\u00EDculo del matem\u00E1tico Beno\u00EEt Mandelbrot publicado por primera vez en Science en 1967."@es . "\u00AB\u00BFCu\u00E1nto mide la costa de Gran Breta\u00F1a?\u00BB (en ingl\u00E9s, \u00ABHow Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension\u00BB) es un art\u00EDculo del matem\u00E1tico Beno\u00EEt Mandelbrot publicado por primera vez en Science en 1967. En este art\u00EDculo Mandelbrot empieza, con cierta evidencia emp\u00EDrica, se\u00F1alando que la medici\u00F3n de una l\u00EDnea geogr\u00E1fica real depende de la \u00ABregla de medir\u00BB o escala m\u00EDnima usada para medirla, debido a que los detalles cada vez m\u00E1s finos de esa l\u00EDnea aparecen al usar una regla de medir m\u00E1s peque\u00F1a. A continuaci\u00F3n Mandelbrot trata el tema de las curvas autosimilares que tienen dimensiones fraccionales entre 1 y 2. Tales curvas son ejemplos de curvas fractales, aunque Mandelbrot no emplea este t\u00E9rmino en su art\u00EDculo, pues no lo acu\u00F1\u00F3 hasta 1975."@es . . . . .