Support vector machines ; model selection ; Riemannian geometry ; conformal transformation ; Chinese character recognition

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Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.

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Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc.

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We studied the global differential geometry of Riemannian manifolds and submanifolds including minimal submanifolds, constant mean curvature submanifolds, complex submanifolds and symplectic submanifolds, etc..

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Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

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Riemannian geometry：黎曼幾何

實分析( Real Analysis)中的測度(Measure)是幾何學中長度日韩网站精品导航在线播放免费观看、面積国产大学生私拍视频在线、體積概念的推廣;泛函分析中的譜(Spectrum)是線性代數(shù)(Linear Algebra)中特征向量(Eigenvector)概念的推廣;黎曼幾何(Riemannian Geometry)中的度規(guī) (Metric)是平面解析幾何中兩點距離公式的推廣,

Riemannian geometry：黎曼幾何[學]

黎曼積分||Riemann integral | 黎曼幾何[學]||Riemannian geometry | 黎曼假設(shè)||Riemann hypothesis