We consider integral point sets in affine planes over finite fields. Here an integral point set is a set of points in F2q where the formally defined Euclidean distance of every pair of points is an element of Fq. From another point of view we consider point sets over F2q with few and prescribed directions. So this is related to Rédei’s work. Another motivation comes from the field of ordinary i...

David E. Hill, Michael A. Brasch, Anthony A. del Campo, Lynn Doucette-Stamm, James I. Garrels, Judith Glaven, James L. Hartley, James R. Hudson Jr., Troy Moore, and Marc Vidal Center for Cancer Systems Biology and Department of Cancer Biology, Dana-Farber Cancer Institute, and Department of Genetics, Harvard Medical School, Boston, Massachusetts 02115, USA; Atto Bioscience, Rockville, Maryland ...

This article explores the rich heritage of the boundary element method (BEM) by examining its mathematical foundation from the potential theory, boundary value problems, Green’s functions, Green’s identities, to Fredholm integral equations. The 18th to 20th century mathematicians, whose contributions were key to the theoretical development, are honored with short biographies. The origin of the ...

Abstract-In this paper, some recent works of the authors, in the area of the field-boundary element method for finite/small strain elastoplasticity [Okada, Rajiyah and Atluri (1988a) J. Appl. Mech. 55, 786-794; (1988b) Comput. Strucr. 30,275-288; (1989) Comput. Mech. 4, 165-175; (1990) Inr. 1. Numer. Meth. Engrtg 29, 15-351, are summarized. Certain new integral representations for displacement ...

The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its homology is “pure”.

We present an advanced algorithm for an extraction tool to compute inductances of interconnect structures. As already pointed out [Proc. Third Int. Conf. Modeling Simul. Microsyst. (2000) 416] the pursued energy concept leads to a 6-fold integral which can also be evaluated by use of the Monte Carlo method. A classical implementation of the Monte Carlo method, where the whole geometry has to be...

Bq−Bq mixing with q = d or q = s is governed byM −iΓ/2 with the hermitian 2×2 matrices M q and Γ. The (1, 2) element of M q − iΓ/2 induces Bq → Bq transitions. The mass matrix element M q 12 stems from the dispersive part of the box diagram in Fig. 1, which is obtained from the full diagram by replacing the loop integral with its real part. The decay matrix element Γq12 is calculated from the a...

The class of all MTL-algebras is a variety, denoted MTL. Alternatively, an MTL-algebra is a representable, commutative, integral residuated lattice with a least element.

Modeling of stress corrosion cracking (SCC) is performed using the combination of the finite element method and the symmetric Galerkin boundary element method. The uncracked structural component is represented with finite elements. The crack is simulated using the boundary element method. The superposition principle is employed for combining two solutions. The equilibrium state for the system o...

Despite the significant number of boundary element method (BEM) solutions of time-dependent problems, certain concerns still need to be addressed. Foremost among these is the impact of different time discretization schemes on the accuracy of BEM modeling. Although very accurate for steady-state problems, the boundary element methods more often than not are computationally challenged when applie...