Dissecting a square into rectangles of equal area

Cutting rectangles in equal area pieces

Packing equal squares into a large square

Let s(x) denote the maximum number of non-overlapping unit squares which can be packed into a large square of side length x. Let W (x) = x − s(x) denote the “wasted” area, i.e., the area not covered by the unit squares. In this note we prove that W (x) = O ( x √ 2)/7 log x ) . This improves earlier results of Erdős-Graham and Montgomery in which the upper bounds of W (x) = O(x) and W (x) = O(x(...

Dissecting the square into five congruent parts

We give an affirmative answer to an old conjecture proposed by Ludwig Danzer: there is a unique dissection of the square into five congruent convex tiles. 2010 Mathematics Subject Classification: 52C20 Introduction and notation In the eighties of the last century, Ludwig Danzer conjectured in several conferences that there is a unique dissection of the square into five congruent parts—see Figur...

Covering a Square by Small Perimeter Rectangles

We show that if the unit square is covered by n rectangles, then at least one must have perimeter at least 4(2m + 1)/(n + m(m + 1)), where m is the largest integer whose square is at most n. This result is exact for n of the form m(m + 1) (or m2).

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...