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删除5字节 、 2021年8月15日 (日) 12:22
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在任意重新标度{{mvar|λ}}下,标度不变也允许曲线进行旋转;换句话说,{{math|''θ''(''λr'')}}与其旋转后的{{math|''θ''(''r'')}}一模一样。
 
在任意重新标度{{mvar|λ}}下,标度不变也允许曲线进行旋转;换句话说,{{math|''θ''(''λr'')}}与其旋转后的{{math|''θ''(''r'')}}一模一样。
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===Projective geometry===
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===Projective geometry 射影几何===
 
The idea of scale invariance of a monomial generalizes in higher dimensions to the idea of a [[homogeneous polynomial]], and more generally to a [[homogeneous function]]. Homogeneous functions are the natural denizens of [[projective space]], and homogeneous polynomials are studied as [[projective varieties]] in [[projective geometry]].  Projective geometry is a particularly rich field of mathematics; in its most abstract forms, the geometry of [[scheme (mathematics)|schemes]], it has connections to various topics in [[string theory]].
 
The idea of scale invariance of a monomial generalizes in higher dimensions to the idea of a [[homogeneous polynomial]], and more generally to a [[homogeneous function]]. Homogeneous functions are the natural denizens of [[projective space]], and homogeneous polynomials are studied as [[projective varieties]] in [[projective geometry]].  Projective geometry is a particularly rich field of mathematics; in its most abstract forms, the geometry of [[scheme (mathematics)|schemes]], it has connections to various topics in [[string theory]].
    
The idea of scale invariance of a monomial generalizes in higher dimensions to the idea of a homogeneous polynomial, and more generally to a homogeneous function. Homogeneous functions are the natural denizens of projective space, and homogeneous polynomials are studied as projective varieties in projective geometry.  Projective geometry is a particularly rich field of mathematics; in its most abstract forms, the geometry of schemes, it has connections to various topics in string theory.
 
The idea of scale invariance of a monomial generalizes in higher dimensions to the idea of a homogeneous polynomial, and more generally to a homogeneous function. Homogeneous functions are the natural denizens of projective space, and homogeneous polynomials are studied as projective varieties in projective geometry.  Projective geometry is a particularly rich field of mathematics; in its most abstract forms, the geometry of schemes, it has connections to various topics in string theory.
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尺度不变性单项式的概念在更高的维度上推广到了齐次多项式单项式的概念,更一般地推广到了齐次函数单项式。齐次函数是射影空间的天然居民,齐次多项式是射影几何中的射影多项式。射影几何是一个特别丰富的数学领域; 在它最抽象的形式---- 方案的几何---- 它与弦理论的各种主题都有联系。
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单项式标度不变性的概念在高维时推广到齐次多项式,更一般地推广到齐次函数。齐次函数是射影空间的“土著”,齐次多项式在射影几何中作为射影簇进行研究。射影几何是数学中一个内容特别丰富的领域;在它最抽象的形式,方案的几何学中,它与弦理论中的各种主题都有联系。
    
===Fractals===
 
===Fractals===
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