Related papers: Le calcul de Schubert selon Schubert
A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing the computations. In a particular case, the algorithm may…
A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered
We derive the Cardano formula of cubic equations by completing the cube, and provide radical solutions to some algebraic equations of higher degree by completing powers. The main idea of completing powers arises from Harrison's center…
In this article we give a result obtained of an experimental way for the Euler totient function.
A formal description of quaternions by means of exterior calculus is presented. Considering a three-dimensional space-time characterized by three time-like coordinates, we have been able to consistently recover a suitable formulation of…
We discuss algebraic and geometric properties of the It{\^o} calculus
The content of this work is concerned with Jordan-Schwinger calculus using $q$-deformed bosons.
We translate in semigroup theory Bismut's way of the Malliavin calculus.
In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].
In this paper, I argue, contrary to the prevailing opinion in the linguistics and philosophy literature, that a sortal approach to aspectual composition can indeed be explanatory. In support of this view, I develop a synthesis of competing…
We extend and deepen the theory of functional calculus for semigroup generators, based on the algebra $\mathcal B$ of analytic Besov functions, which we initiated in a previous paper. In particular, we show that our construction of the…
In this note some philosophical thoughts and observations about mathematics are expressed, arranged as challenges to some common claims.
We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the same. This view of mathematics as…
This paper gives a fairly explicit formula for the Hilbert series of algebras of Veronese type.
We present a proof net calculus for the Displacement calculus and show its correctness. This is the first proof net calculus which models the Displacement calculus directly and not by some sort of translation into another formalism. The…
An approximate formula for the partitions of Goldbach's Conjecture is derived using Prime Number Theorem and a heuristic probabilistic approach. A strong form of Goldbach's conjecture follows in the form of a lower bounding function for the…
We prove Burkholder inequality using Bregman divergence.
The paper is written for Kluwer's Encyclopaedia of Mathematics.
The aim of this note is to describe how to compute the intersection multiplicity defined by Jean Pierre Serre.
In [MV], some correspondences were defined between critical points of master functions associated to sl_{N+1} and subspaces of C[x] with given ramification properties. In this paper we show that these correspondences are in fact scheme…