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此词条暂由彩云小译翻译，翻译字数共3711，未经人工整理和审校，带来阅读不便，请见谅。
此词条暂由彩云小译翻译，翻译字数共3711，未经人工整理和审校，带来阅读不便，请见谅。
由李博进一步审校。
{{Short description|Features that do not change if length or energy scales are multiplied by a common factor}}
{{Short description|Features that do not change if length or energy scales are multiplied by a common factor}}
In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality.
In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality.
在物理学、数学和统计学中，'''Scale Invariance 标度不变性'''是物体或者物理定律的一种特征，如果长度、能量或者其他变量的标度与一个公因子相乘，而不发生改变，因此也就代表某种普遍性。
The technical term for this [[transformation (mathematics)|transformation]] is a '''dilatation''' (also known as '''dilation'''), and the dilatations can also form part of a larger [[conformal symmetry]].
The technical term for this [[transformation (mathematics)|transformation]] is a '''dilatation''' (also known as '''dilation'''), and the dilatations can also form part of a larger [[conformal symmetry]].