Geometry in Grassmannians and a generalization of the dilogarithm
IM Gelfand, RD MacPherson - Advances in mathematics, 1982 - Elsevier
In this paper we introduce some polyhedra in Grassman manifolds which we call Grassmannian
simplices. We study two aspects of these polyhedra: their combinatorial structure (…
simplices. We study two aspects of these polyhedra: their combinatorial structure (…
Chern classes for singular algebraic varieties
RD MacPherson - Annals of Mathematics, 1974 - JSTOR
Our object is to prove the existence of Chern classes for possibly singular complex algebraic
varieties, which was conjectured by Deligne and Grothendieck [2]. These are homology …
varieties, which was conjectured by Deligne and Grothendieck [2]. These are homology …
[PDF][PDF] Combinatorial geometries, convex polyhedra, and Schubert cells
IM Gelfand, RM Goresky, RD MacPherson… - Advances in …, 1987 - math.ias.edu
This paper is a continuation of [GM] which was published in the same journal. We will explore
a remarkable connection between the geometry of the Schubert cells in the Grassmann …
a remarkable connection between the geometry of the Schubert cells in the Grassmann …
The von Neumann relation generalized to coarsening of three-dimensional microstructures
RD MacPherson, DJ Srolovitz - Nature, 2007 - nature.com
Cellular structures or tessellations are ubiquitous in nature. Metals and ceramics commonly
consist of space-filling arrays of single-crystal grains separated by a network of grain …
consist of space-filling arrays of single-crystal grains separated by a network of grain …
The pharmacological basis of contemporary pain management
RD MacPherson - Pharmacology & therapeutics, 2000 - Elsevier
Pain management has become an increasingly well researched area in medicine over
recent years, and there have been advances in a number of areas. While opioids remain an …
recent years, and there have been advances in a number of areas. While opioids remain an …
Fourier analysis of uniform random number generators
RR Coveyou, RD MacPherson - Journal of the ACM (JACM), 1967 - dl.acm.org
A method of analysis of uniform random number generators is developed, applicable to
almost all practical methods of generation. The method is that of Fourier analysis of the output …
almost all practical methods of generation. The method is that of Fourier analysis of the output …
Cognitive impairment following electroconvulsive therapy-does the choice of anesthetic agent make a difference?
RD MacPherson, CK Loo - The Journal of ECT, 2008 - journals.lww.com
The range of drugs available to provide anesthesia for patients undergoing electroconvulsive
therapy (ECT) is ever increasing. Initially, anesthetic agents were selected on the basis of …
therapy (ECT) is ever increasing. Initially, anesthetic agents were selected on the basis of …
A more accurate three-dimensional grain growth algorithm
In a previous paper, the authors described a simulation method for the evolution of two-dimensional
cellular structures by curvature flow that satisfied the von Neumann–Mullins relation …
cellular structures by curvature flow that satisfied the von Neumann–Mullins relation …
Geometric and topological properties of the canonical grain-growth microstructure
Many physical systems can be modeled as large sets of domains “glued” together along
boundaries—biological cells meet along cell membranes, soap bubbles meet along thin films, …
boundaries—biological cells meet along cell membranes, soap bubbles meet along thin films, …
[PDF][PDF] A combinatorial formula for the Pontrjagin classes
IM Gelfand, RD MacPherson - Bull. Amer. Math. Soc, 1992 - community.ams.org
A COMBINATORIAL FORMULA FOR THE PONTRJAGIN CLASSES Page 1 BULLETIN (New
Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 26, Number 2, April 1992 …
Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 26, Number 2, April 1992 …