We discuss several aspects of Łojasiewicz inequalities, namely local and global versions, and the relations between the gradient inequality and regular separation of real algebraic sets. We give ...

Abstract: This article proposes a parameter estimation technique for a self-saturation model of synchronous motors. The standstill self-identification method requires an equation-based flux saturation ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

1 Department of Thoracic Surgery, The First Medical Centre, Chinese PLA General Hospital, Beijing, China 2 Medical School of Chinese PLA, Beijing, China We address mathematical modelling of ...

We are going to assume that the polynomials that we will be representing will have integer coefficients and exponents. The coefficients can be positive or negative. The zero-coefficient terms are not ...

The population loss of trained deep neural networks has been empirically observed to improve as a power law in a variety of large models and datasets. We investigate the origins behind such “scaling ...

If exponents of all factors are even and the constant term is a square, the square root of the polynomial is just the product of all factors raised to half of their exponents and the square root of ...