A new derivation of the counting formula for Young tableaux

A New Derivation of the Counting Formula for Young Tableaux

Given integers a i > . . . > a, 2 0 the corresponding Young tableau is that part of an a, x n matrix consisting of all (i,j) entries with n >j > 1, aj > i > 1. The problem which we discuss here is: In how many ways can the integers l,..., Cy ai be placed into the entries of the a, ,..., a, Young tableau so that any row and any column forms an increasing sequence? We call this number F(ai ,..., ...

A Probabilistic Proof of a Formula for the Number of Young Tableaux of a Given Shape

This paper contains a short proof of a formula by Frame, Robinson, and Thrall [I] h h w ic counts the number of Young tableaux of a given shape. Let X = {X, >, X, > ..’ 2 X,} be a partition of R. The Ferrers diagram of h is an array of cells doubly indexed by pairs (i, j) with 1 < i < m, 1 <j < A( . A Young tableau of shape h (sometimes called a standard tableau) is an arrangement of the intege...

Young Tableaux, Canonical Bases, and the Gindikin-karpelevich Formula

A combinatorial description of the crystal B(∞) for finitedimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases indexed by Lusztig’s parametrization, and obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over the set of Young ta...

A New Type of Counting Derivation for CD Grammar Systems

translating allusive devices:a survey of a portrait of the artist as a young man by james joyce

تلمیح یکی از عناصری است که تقریباً در همه ی متون ادبی یافت و باعث ایجاد شکاف های فرهنگی می شود. در این تحقیق به عنوان شکلی از بینامتنیت در ترجمه مورد توجه قرار می گیرد. تلاش شده است تا راهکارهای مترجمان برای ترجمه چهار نوع اسامی خاص و عبارات کلیدی تلمیحی (مذهبی، سیاسی، تاریخی و اسطوره ای) موجود در رمانِ چهره مرد هنرمند در جوانی به فارسی بررسی شود. این تحقیق مقایسه ای بر اساس راهکارهای ترجمه تلمیح...