ScholarLens Back to search
1948•The Mathematical GazetteRequires access

A Problem on Circles

E. R. Reifenberg

Open publisher page 30 citations

Abstract

In connection with a general form of the covering principle and the relative differentiation of additive functions Mr. A. S. Besicovitch has proved that given a unit circle C with centre O , then any set of circles satisfying the conditions 1. Each circle of the set meets (or touches) C ; A . 2. Each circle of the set has radius not less than 1; 3. No circle contains O or the center of any other circle of the set, has less than 22 members.

About this research paper

What this paper is about

In connection with a general form of the covering principle and the relative differentiation of additive functions Mr. A. S. Besicovitch has proved that given a unit circle C with centre O , then any set of circles satisfying the conditions 1. Each circle of the set meets (or touches) C ; A . 2. Each circle of the set has radius not less than 1; 3. No circle contains O or the center of any other circle of the set, has less than 22 members.

Why it matters

OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In connection with a general form of the covering principle and the relative differentiation of additive functions Mr. A. S. Besicovitch has proved that given a unit circle C with centre O , then any set of circles satisfying the conditions 1. Each circle of the set meets (or touches) C ; A . 2. Each circle of the set has radius not less than 1; 3. No circle contains O or the center of any other circle of the set, has less than 22 members.

Key concepts: Unit circle, Mathematics, Great circle, Set (abstract data type), RADIUS, Connection (principal bundle), Center (category theory), Combinatorics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A Problem on Circles — Research Paper | ScholarLens