This column is aforum for discussion of mathematical communities throughout the world, and through all time. Our definition of “mathematical community” is the broadest. We include “schools” of mathematics, circles of correspondence, mathematical societies, student organizations, and informal communities of cardinality greater than one. What we say about the communities is just as unrestricted. We welcome contributions from mathematicians of all kinds and in all places, and also from scientists, historians, anthropologists, and others.

Annals of the New York Academy of SciencesVolume 775, Issue 1 p. 437-441 ARE “FEMINIST PERSPECTIVES'’IN MATHEMATICS AND SCIENCE FEMINIST? † MARY BETH RUSKAI, MARY BETH RUSKAI Department of Mathematics University of Massachusetts Lowell, Massachusetts 01854Search for more papers by this author MARY BETH RUSKAI, MARY BETH RUSKAI Department of Mathematics University of Massachusetts Lowell, Massachusetts 01854Search for more papers by this author First published: June 1995 https://doi.org/10.1111/j.1749-6632.1996.tb23159.xCitations: 2 † Based on a talk given in the panel on “Feminist Perspectives” at the International Commission on Mathematical Instruction Study on Gender and Mathematics Education, Höör, Sweden, October 7–12, 1993. (An earlier version appeared in the proceedings of that conference.) AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Citing Literature Volume775, Issue1The Flight from Science and ReasonJune 1995Pages 437-441 RelatedInformation

For quantum lattice systems, we consider the problem of characterizing the set of single-particle densities,ρ, which come from the ground-state eigenspace of someN-particle Hamiltonian of the form\(H_0 + \sum\nolimits_{i = 1}^N {v(x_i )} \) whereH0 is a fixed, bounded operator representing the kinetic and interaction energies. We show that the conditions onρ are that it be strictly positive, properly normalized, and consistent with the Pauli principle. Our results are valid for both finite and infinite lattices and for either bosons or fermions. The Coulomb interaction may be included inH0 if the lattice dimension is ⩾2. We also characterize those single-particle densities which come from the Gibbs states of such Hamiltonians at finite temperature. In addition to the conditions stated above,ρ must satisfy a finite entropy condition.

We show that the Hartree approximation cannot predict that H− has a bound state, i.e., the Hartree energy is greater than −0.5. We also show that the Hartree approximation cannot predict binding for the Coulomb model of a two-electron atom unless the nuclear charge Z is greater than 1.03 and we compute accurate upper and lower bounds to the Hartree energy for H− and He.

It is shown for a large class of domains that the bilinear forms associated with formal expressions of the type ∫h(x)asp †(x).…as1 †(x)at1(x)…atq(x)dx define closable operators if and only if p, qε{0, 1}.

It is shown that every p matrix has a dual matrix which describes the p-hole properties of the system. A general procedure is given for using particle-hole equivalence to obtain new N-representability conditions. In particular, necessary and sufficient conditions are given for both pure and ensemble N-representability of p matrices whose 1-rank is N + p.

International cooperation takes many forms. The Notices cooperates in informal ways with similar journals in other countries. The most extensive such coopera- tion of late has been with the French Gazette des Mathématiciens and with its ed- itor Daniel Barsky. Sometimes the two journals publish two versions of an article at the same time—the Notices in English and the Gazette usually in French. Some- times the one editor tells the other of some upcoming article and shares it with him after it arrives. Sometimes pieces of information or photographs are shared. The arrangement is completely informal and works well precisely because it is not quantified and formalized. The readers of both journals are the beneficiaries. In the current issue, much of the memorial article for André Lichnerowicz appeared in some form in a series of articles in the July and October issues of the Gazette. The Gazette authors gave their permission to have their articles translated and adapted for the Notices readership, subject to editing by the au- thors, and four of the five segments of the Lichnerowicz article were the result. Cooperation with the German Mitteilungen der DMV has similarly benefited