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Fractal, also known as crater, is usually defined as "a rough or fragmented geometry that can be divided into parts, and each part (at least approximately) is an integrally narrowed shape" Self - similar properties. The root of the thought of crushing can be traced back to the 17th century, while the use of rigorous mathematical treatment of crushing began in a century after Karl Weierstras, Georg Ogert and Felix House A Study of Continuous and Non - different Functions. But the word fractal was not created until 1975 by Ben Mendobo, from Latin frāctus, "fragmented" and "broken". A mathematical sense of the generation of fractures is based on a constant iteration of the equation, that is, a recursive feedback system. There are several types of fractures that can be defined on the basis of the exact self-similarity, semi-self-similarity and statistical self-similarity. Although the crater is a mathematical construct, they can also be found in nature, which makes them classified as a category of works of art. Shredding is used in medicine, soil mechanics, seismology and technical analysis. ... 分形（英语：Fractal），又稱碎形，通常被定義為「一個粗糙或零碎的幾何形狀，可以分成數個部分，且每一部分都（至少近似地）是整體縮小後的形狀」，即具有自相似的性質。碎形思想的根源可以追溯到公元17世紀，而對碎形使用嚴格的數學處理則始於一個世紀後卡爾·魏爾施特拉斯、格奧爾格·康托爾和費利克斯·豪斯多夫對連續而不可微函數的研究。但是碎形（fractal）一詞直到1975年才由本華·曼德博創造出，來自拉丁文 frāctus，有「零碎」、「破裂」之意。一個數學意義上碎形的生成是基於一個不斷迭代的方程式，即一種基於遞歸的反饋系統。碎形有幾種類型，可以分別依據表現出的精確自相似性、半自相似性和統計自相似性來定義。雖然碎形是一個數學構造，它們同樣可以在自然界中被找到，這使得它們被劃入藝術作品的範疇。碎形在醫學、土力學、地震学和技术分析中都有应用。...
The translations of 分形 from Chinese to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «分形» in Chinese.
The map shown above gives the frequency of use of the term «分形» in the different countries.
FREQUENCY OF USE OF THE TERM «分形» OVER TIME
The graph expresses the annual evolution of the frequency of use of the word «分形» during the past 500 years. Its implementation is based on analysing how often the term «分形» appears in digitalised printed sources in Chinese between the year 1500 and the present day.
Examples of use in the Chinese literature, quotes and news about 分形
10 CHINESE BOOKS RELATING TO «分形»
Discover the use of 分形 in the following bibliographical selection. Books relating to 分形 and brief extracts from same to provide context of its use in Chinese literature.