Related papers: Crux's Crux's crux

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

A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.

We introduce and study a new kind of congruent number problem on the right trapezoid.

We present some questions and suggestion on the second part of the Hilbert 16th problem

We present a solution of $3x+1$ problem. For a history of this problem we refer the reader to Lagarias, Jeffrey C.

In this paper we consider a class of Burgers equation. We propose a new method of investigation for existence of classical solutions.

This paper concerns the number of lattice points in a circle.

Crossword puzzles lend themselves to mathematical inquiry. Several authors have already described the arrangement of crossword grids and associated combinatorics of answer numbers. In this paper, we present a new graph-theoretic…

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

This paper will be replaced later by a revised version.

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

We construct a new type of geometric knot theory, plumbers' knots, and solve the problems of distinguishing and enumerating such knots at a fixed level of complexity. (v2) Minor edits, added theorem 3.18. (v3) Substantial revisions,…

By some new recursive algorithms, in this paper, we will give some improvements on Waring's problem.

The classical quadratic formula and some of its lesser known variants for solving the quadratic equation are reviewed. Then, a new formula for the roots of a quadratic polynomial is presented.

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

This is a short historical note concerning the evolution of Wetzel's problem and Erdos' solution.

In this paper we obtain a new parametric solution of the problem of finding two triads of biquadrates with equal sums and equal products.

We propose a method for computing upper bounds for the Heilbronn problem for triangles.

This survey of some of the more topological aspects of the placement problem for complex curves in complex surfaces was originally published in L'Enseignement Mathematique 29 (1983). The present LaTeXed redaction corrects several…