Related papers: Three-line derivation of the Thomas precession

We prove a version of adelic descent for continuous localizing invariants.

In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of characters of the groupoid of the adjoint action of the group.

Seven derivations of the Lambert-Beer law are proposed in this paper. They were designed to be simple and intuitive. Most of them are suitable for the classroom. Readers can also benefit from them by looking at the phenomenon from different…

In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and a known result on first cohomology group of trivial…

We establish a link between the phenomenon of Taylor dispersion and the theory of empirical distributions. Using this connection, we derive, upon applying the theory of large deviations, an alternative and much more precise description of…

We provide a short proof of the 1-dimensional flat chain conjecture.

The purpose of this paper is to provide a random version of Simons' inequality.

We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.

We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in…

We simplify construction of Thoma representations of an infinite symmetric group

This paper proposes a novel preconditioned implicit-explicit algorithm enhanced with the extrapolation technique for non-convex optimization problems. The algorithm employs a third-order Adams-Bashforth scheme for the nonlinear and explicit…

The autor propose the elementary derivation of the continued fraction expansion for function sec(x) + tan(x).

See http://www.math.msu.edu/~abbas or Wiley preprint server.

We deal with instanton bundles on the product ${\mathbb P}^1\times{\mathbb P}^2$ and the blow up of ${\mathbb P}^3$ along a line. We give an explicit construction leading to instanton bundles. Moreover, we also show that they correspond to…

A novel factorization for the sum of two single-pair matrices is established as product of lower-triangular, tridiagonal, and upper-triangular matrices, leading to semi-closed-form formulas for tridiagonal matrix inversion. Subsequent…

This is a survey recent works on topological extensions of the Tutte polynomial.

We factorize three-dimensional terminal flops into a composition of divisorial contractions to points and blowing-up smooth curves.

We examine the reductions of the order of certain third- and second-order nonlinear equations with arbitrary nonlinearity through their symmetries and some appropriate transformations. We use the folding transformation which enables one to…

The abstract will be added in due course.

A generalization of the law of total covariance is presented and proved.