Related papers: A note on lattice coverings

By studying the volume of a generalized difference body, this paper presents the first nontrivial lower bound for the lattice covering density by $n$-dimensional simplices.

This note describes a way of obtaining e that differs from the standard one. It could be used as an alternate way of showing how the value of e is obtained. No attempt is made to show the existence of the limit in the definition of e that…

This is a contribution to the number theory of the dimer problem. The number of dimer coverings (i.e., perfect matchings) of a square lattice graph is discussed modulo powers of 2.

This note is about a little extension of Nash's embedding theorem in the case of complete manifolds.

In this short note,we correct a well-known counter example of the famous book of Dacorogna[2].

This short note delivers, via elementary calculations, a product representation of pi.

This note presents several conditions to characterize real matrix similarity between a Hurwitz matrix (and then more generally, a real square matrix) and a diagonal dominant matrix.

This note gives a short proof on characterizations of a forest to be equitably k-colorable.

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

In this note, we derive a Leibniz rule for difference quotient.

In this note we answer a question concerning lineability of the set of non-absolutely summing operators.

The aim of this short note is to give a simple proof of the non-rationality of the double cover of the three-dimensional projective space branched over a sufficiently general quartic.

This note is a survey of $J$-spaces.

A variation on the splitting principle

The purpose of this note is to give a number of open problems on matching theory and their relation to the well-known results in this area. We also give a linear analogue of the acyclic matchings.

This note presents an application of the quasi-conform transformation in surveying.

We obtain simple proofs of certain inequalites for bivariate means.

A lattice-based model exhibits an unusual conductivity when it is subjected to both a static magnetic field and electromagnetic radiation. This conductivity anomaly may explain some aspects of the recently observed "zero-resistance states".…

The note complements topological aspects of the theory of chiral algebras.

In this note, we provide with a simple example to show a defect in the definition of the geometric mixing scale, and then introduce an improved scale, called as the strong geometric mixing scale. The main theorem in this note is the…