Mathematical Sciences: Acquisition of Math Sciences ResearchEquipment

这是数学科学部数学科学项目科学计算研究设备下的一项拨款。用于购买专用设备，以支持数学科学研究。一般来说，几个研究项目都需要这种设备，很难单独为一个项目提供理由。美国国家科学基金会的支持与制造商的折扣和捐款以及提交提案的机构的大量成本分摊相结合。这是大学、工业和政府合作支持数学科学基础研究的一个例子。该项目中的设备将用于几个研究项目，特别是：常数项恒等式和组合枚举；秩一对称空间中的立体投影长球面波函数的多项式类比和无限阶差分方程。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences. It is for the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required by several research projects, and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers, and with substantial cost-sharing from the institution submitting the proposal. This is an instance of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment in this project will be used for several research projects including in particular: Constant Term Identities and Combinatorial Enumeration; Stereographic Projection in Rank One Symmetric Spaces; Polynomial Analogs of the Prolate Spheroidal Wave Functions; and Difference Equations of Infinite Order.