Related papers: A note on the convergence of the Adomian decomposi…

This note contains a new combinatorial proof of Cramer's rule based on the Gessel-Viennot-Lindstrom Lemma.

A proposed solution to the Riemann Hypothesis

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

This note records the order of a higher dimensional Dehn twist in a range of topologically significant groups.

We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon's inversion of adjunction for log canonical centers of arbitrary codimension.

In this note we prove a weighted version of the Khintchine inequalities.

In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.

We give a new characterization of pseudoconvex point, and of finite type point, using analytic discs.

We introduce decomposition complexes of posets, which generalize order complexes. The main advantage of our construction is that decomposition complexes are closed under taking products. Other special instances of this theory include nested…

In this paper we apply decomposition to orbifolds with quantum symmetries to resolve anomalies. Briefly, it has been argued by e.g. Wang-Wen-Witten, Tachikawa that an anomalous orbifold can sometimes be resolved by enlarging the orbifold…

By suitable examples we illustrate an algorithm for composition of inverse problems.

The new property of minimal surfaces is obtained in this article.

We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.

In this note, we prove the coherence of Frobenius stable direct images in a new case. We also show a generation theorem regarding to it. Furthermore, we prove a corresponding theorem in characteristic zero.

This note presents a summary and review of various conditions for signal convergences, based on Barbalat-like lemmas and their variations.

We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an updated version of arXiv:math/0606635v3 with additional results…

In this paper we outline the application of decomposition to condensation defects and their fusion rules. Briefly, a condensation defect is obtained by gauging a higher-form symmetry along a submanifold, and so there is a natural interplay…

In this note, we shall overview some results related to ultraparacompactness and ultranormality in the general topological and point-free contexts. This note contains some standard results and counterexamples along with some results which…

Computations in the cohomology of finite groups.

An approach to constructing an upper bound for the Riemann-Farey sum is described.