The Least-Perimeter Partition of a Sphere into Four Equal Areas

The Least-Perimeter Partition of a Sphere into Four Equal Areas

We prove that the least-perimeter partition of the sphere into four regions of equal area is a tetrahedral partition.

Least - Perimeter Partitions of the Sphere

We consider generalizations of the honeycomb problem to the sphere S and seek the perimeter-minimizing partition into n regions of equal area. We provide a new proof of Masters’ result that three great semicircles meeting at the poles at 120 degrees minimize perimeter among partitions into three equal areas. We also treat the case of four equal areas, and we prove under various hypotheses that ...

a study of translation of english litrary terms into persian

چکیده هدف از پژوهش حاضر بررسی ترجمه ی واژه های تخصصی حوزه ی ادبیات به منظور کاوش در زمینه ی ترجمه پذیری آنها و نیز راهکار های به کار رفته توسط سه مترجم فارسی زبان :سیامک بابایی(1386)، سیما داد(1378)،و سعید سبزیان(1384) است. هدف دیگر این مطالعه تحقیق در مورد روش های واژه سازی به کار رفته در ارائه معادل های فارسی واژه های ادبی می باشد. در راستای این اهداف،چارچوب نظری این پژوهش راهکارهای ترجمه ار...

THE HOMOLOGY REPRESENTATIONS OF THEk - EQUAL PARTITION

On partitions into four distinct squares of equal parity

In recent work [1,2], we studied p4 (n), the number of partitions of n into four squares. We found the generating function for p4 (n), and showed that the numbers p4 (n) possess some (rare) arithmetic properties. In this paper we make a study of what we will call p4e(n) and p4o(n), the number of partitions of n into four distinct even (respectively odd) squares. We shall also have reason to con...