THE exposition of a mathematical subject in its early stages of development is apt to require a bulky volume; the appearance of this concise treatise, covering so much ground, would consequently ...

WHAT is the theory of functions about? This question may be heard now and again from a mathematical student; and if, by way of a pattial reply, it be said that the elements of the theory of functions ...

Transactions of the American Mathematical Society, Vol. 366, No. 6 (JUNE 2014), pp. 3043-3074 (32 pages) The new notion of operator/matrix k-tone functions is introduced, which is a higher order ...

If there were no Coulomb interaction among electrons, it would be relatively straightforward to solve the many-electron Schrödinger equation. It is, however, precisely this interaction that is at the ...

The aim of this paper is to evaluate etiological accounts of functions for the domain of technical artefacts. Etiological theories ascribe functions to items on the basis of the causal histories of ...

INTRODUCTION: Density functional theory (DFT) is a widely used method for calculating the electronic properties of materials. The method is based on the idea of approximating the many-electron wave ...

1 Department of Computer Science, University of Illinois Urbana-Champaign, Urbana, IL, United States 2 Department of Mathematics, Illinois State University, Normal, IL, United States Spectral graph ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In recent years Quantum Computing prominently entered in the field of Computational ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. We introduce a method for computing quantum mechanical forces through surface ...