This paper analyses the influence of scale factor on moment invariant features in discrete, constructs a new moment invariant with both scale, translation and rotating invariance.
By using this new expression, we derive a perturbation bound for the subunitary polar factor for any unitarily invariant norm.
本文证明了此方程存在唯一的正定解，并推导出此正定解的扰动边界和条件数的显式表达式。
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Some applications, including the Aharonov-Bohm effect, are considered for the special case of adiabatic evolution, this phase factor is a gauge-invariant generalization of the one found by Berry.