Mathematical Sciences: Diophantine Approximations and Pade Approximations

这笔赠款支持D.Chudnovsky博士和G.Chudnovsky博士作为主要研究人员的研究。他们打算研究函数和数字的逼近，以揭示经典常量的算术性质。他们打算将Pade近似与等单线变形方程结合使用。这是数论领域的研究。数论始于整数和诸如一个整数被另一个整数整除的问题。它是最古老的数学领域之一，最初是出于纯粹的美学原因。然而，在过去的半个世纪里，它已经成为开发计算机科学的新算法和电子产品的新纠错码的必要工具。

This grant supports the research of Dr. D. Chudnovsky and Dr. G. Chudnovsky as principal investigators. They intend to study approximations to functions and numbers with a view to revealing arithmetic properties of classical constants. They intend to use Pade approximations in conjunction with isomonodromy deformation equations. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.