相关论文: A problem of Stanislaw Saks

This paper describes our hunt for the solver of Problem 157 in the Scottish Book, a problem originally posed by A.~J. (Gus) Ward in 1937. We first make the observation that a theorem of Richard O'Malley from 1975 yields an immediate…

A negative solution of Problem 188 posed by Max Eidelheit in {\it the Scottish Book} concerning superpositions of separately absolutely continuous functions is presented. We discuss here his and some related problems which have also…

The paper discusses Problems 8 and 88 posed by Stanislaw Mazur in the Scottish Book. It turns out that negative solutions to both problems are immediate consequences of the results of Section 5 of my paper "Estimates of functions of power…

The paper deals with continuous solutions of a Schilling's problem.

The paper deals with locally bounded solutions of a Schilling's problem.

In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].

We provide infinitely many solutions of a Dirichlet problem on balls.

Several open problems in algebraic logic are solved.

We prove an improved form of an expectation of Polya and discuss several related questions

We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations $G(k)$ and a related double sequence $G(k,m)$. Exact expressions for these are derived, and we…

We propose a new approach to solve an NP complete problem by means of stochastic limit.

In the open problem session of the FPSAC'03, R.P.Stanley gave an open problem. The purpose of this paper is to give a proof of this open problem. At the end of this paper we present certain corollaries involving the Big Schur functions and…

We comment on a Mazur problem from "Scottish Book" concerning second partial derivatives. It is proved that, if a function $f(x,y)$ of real variables defined on a rectangle has continuous derivative with respect to $y$ and for almost all…

We give a sharply-vertex-transitive solution of each of the nine Hamilton-Waterloo problems left open by Danziger, Quattrocchi and Stevens.

The existence of solutions to the Gaussian logarithmic Minkowski problem for C-pseudo-cones is established in this paper. In addition, the non-uniqueness of solutions to the problem is demonstrated.

We present detailed solutions to 81 of the 202 problems in J. Polchinski's two-volume textbook "String Theory".

Methods are described for the solution of linear inference problems subject to deterministic constraints. The approach builds on work by Backus (1970a,b,c) and Parker (1977), but a range useful advances are suggested to address both…

An open problem concerning Riemann sums, posed by O. Furdui, is considered.

We solve a theoretical arithmetics problem stated by Wac{\l}aw Sierpi\'nski. The problem has remained open for a couple of decades.

Theory of $n$-complements with applications is presented.