See fractal dimension in All languages combined, or Wiktionary
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Holden, Gauging the Fractal Dimension of Response Times from Cognitive Tasks:", "text": "Conventional statistical analyses presuppose that intrinsic variability is white noise. White noise yields a jagged and irregular line with a fractal dimension of 1.5, because successive observations are statistically independent of each other. Its fractal dimension indicates the extent to which white noise occupies 2-D space. White noise is uncorrelated noise. By contrast, the successive observations of pink noise tend to be positively correlated. This results in a less jagged trial series, and lower fractal dimensions that fall in the interval between 1 and 1.5.", "type": "quote" }, { "text": "The perimeter of Britain measured in the first dimension yields infinity, and measured in the second dimension yields zero, so it has to be measured in a fractal dimension of approximately 1.25." } ], "glosses": [ "A dimension in which it is the most suitable to make measurements on a fractal set." ], "hyponyms": [ { "word": "capacity dimension" }, { "word": "correlation dimension" }, { "word": "Hausdorff dimension" }, { "word": "information dimension" }, { "word": "Lyapunov dimension" }, { "word": "Minkowski-Bouligand dimension" } ], "id": "en-fractal_dimension-en-noun-pzu4VJS1", "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "dimension", "dimension" ], [ "fractal", "fractal" ] ], "raw_glosses": [ "(mathematical analysis) A dimension in which it is the most suitable to make measurements on a fractal set." ], "related": [ { "word": "dimension" }, { "word": "fractal" } ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ], "translations": [ { "code": "cmn", "lang": "Chinese Mandarin", "sense": "a dimension for making measurements on a fractal set", "word": "分形維數" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "fēnxíng wéishù", "sense": "a dimension for making measurements on a fractal set", "word": "分形维数" }, { "code": "cs", "lang": "Czech", "sense": "a dimension for making measurements on a fractal set", "word": "fraktální dimenze" }, { "code": "fi", "lang": "Finnish", "sense": "a dimension for making measurements on a fractal set", "word": "fraktaalidimensio" }, { "code": "el", "lang": "Greek", "roman": "morfoklasmatikí diástasi", "sense": "a dimension for making measurements on a fractal set", "tags": [ "feminine" ], "word": "μορφοκλασματική διάσταση" }, { "code": "hu", "lang": "Hungarian", "sense": "a dimension for making measurements on a fractal set", "word": "fraktáldimenzió" }, { "code": "ko", "lang": "Korean", "roman": "peuraekteol chawon", "sense": "a dimension for making measurements on a fractal set", "word": "프랙털 차원" }, { "code": "ru", "lang": "Russian", "roman": "fraktalʹnaja razmernostʹ", "sense": "a dimension for making measurements on a fractal set", "tags": [ "feminine" ], "word": "фрактальная размерность" }, { "code": "es", "lang": "Spanish", "sense": "a dimension for making measurements on a fractal set", "tags": [ "feminine" ], "word": "dimensión fractal" } ] } ], "word": "fractal dimension" }
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