ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...

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An Algebraic Circuit for a multivariate polynomial P is a computational model for constructing the polynomial P using only additions and multiplications. It is a syntactic model of computation, as ...

I work with Hermite functions and am just beginning to use sympy. I would like to help sympy with some identities that apply to Hermite functions: I've defined the Hermite functions as a custom ...

An efficient method of moments (MoM) based on polynomial chaos expansion (PCE) is applied to quickly calculate the electromagnetic scattering problems. The triangle basic functions are used to ...

Abstract: We show that lower bounds on the border rank of matrix multiplication can be used to non-trivially derandomize polynomial identity testing for small ...