Acquisition of Mathematical Sciences Research Equipment

本项目是赠款活动下的设备赠款 科学计算研究设备 科学计划。 该项目涉及购买特殊的 专用于支持研究的设备 数学科学 一般来说，这种设备是必需的。 由几个研究项目联合进行，很难 仅凭一个项目。 这项研究设备的支持，从国家科学 基金会与折扣和捐款相结合， 制造商提供的设备， 提交机构。 这个项目提供了一个很好的例子 大学，工业和政府合作， 支持数学科学的基础研究。 这些设备将用于支持以下活动： 研究：（1）MACSYMA，MACAULY，BMDP和SPSSx将用于 研究有理函数的数值不变量之间的关系 平面曲线，（2）复维参数空间 不变二次微分的家庭将被检查 （3）整函数和亚纯函数的Julia集 和稳定的Kleinian群集将被检查，和（4） 测度与递归系数之间的关系 将研究正交多项式。 该项目涉及高速多精度 算术、大内存需求和人工 智能

This project is an equipment grant under the activity Grants For Scientific Computing Research Equipment For The Mathematical Sciences program. The project involves the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required jointly by several research projects and would be difficult to justify on one project alone. This research equipment support from the National Science Foundation is coupled with discounts and contributions of equipment from manufacturers and significant cost-sharing from the submitting institution. This project provides a good example of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. This equipment will be utilized to support the following research: (1) MACSYMA, MACAULY, BMDP, and SPSSx will be used to study the relationship between numerical invariants of rational plane curves, (2) parameter spaces of complex dimensional families of invariant quadratic differentials will be examined graphically, (3) Julia sets of entire and meromorphic functions and stable sets of Kleinian groups will be examined, and (4) the connection between measures and recurrence coefficients involving orthogonal polynomials will be studied. The projects involve high speed multiple precision arithmetic, large memory requirements, and artificial intelligence.