LISP70 is a descendant of LISP which emphasizes patterndi rected computation and extensibility. A function can be defined by a set of pattern rewrite rules as well as by the normal LAMBDA method. New rewrite rules can be added to a previously defined function; thus a LISP70 function is said to be "extensible". It is possible to have new rules merged in automatically such that special cases are ...

The dispersion relation of plasmons in graphene with a periodic lattice of apertures takes a band structure. Light incident on this plasmonic crystal excites only particular plasmonic modes in select bands. The selection rule is not only frequency/wavevector matching but also symmetry matching, where the symmetry of plasmonic modes originates from the point group symmetry of the lattice. We dem...

This is a contribution to the number theory of the dimer problem. Let An = 2 n · B n (Bn > 0) denote the number of dimer coverings (i.e., perfect matchings) of a 2n×2n square lattice graph. Bn turns out to be an integer. Motivated by a somewhat strange observation (see below), we investigated the residue classes Bn mod 2 . In this paper, we outline a method that, for a fixed integer r, enables ...

An attempt is made at a systematic approach to anomaly matching problem in non-Abelian electric-magnetic duality in N = 1 supersymmetric QCD. A strategy we employ is somewhat analogous to anomaly analyses in grand unified models where the anomaly cancellation becomes more transparent if one embeds SU(5) multiplets into a multiplet of (anomaly-free) SO(10). A complication arises in the treatment...

Calculation of the continuum–lattice HQET matching for the complete basis of four–fermion operators: reanalysis of the B 0-¯ B 0 mixing. Abstract In this work, we find the expressions of continuum HQET four-fermion operators in terms of lattice operators in perturbation theory. To do so, we calculate the one–loop continuum–lattice HQET matching for the complete basis of ∆B = 2 and ∆B = 0 operat...

Calculation of the continuum–lattice HQET matching for the complete basis of four–fermion operators: reanalysis of the B 0-¯ B 0 mixing. Abstract In this work, we find the expressions of continuum HQET four-fermion operators in terms of lattice operators in perturbation theory. To do so, we calculate the one–loop continuum–lattice HQET matching for the complete basis of ∆B = 2 and ∆B = 0 operat...

The B-B̄ mixing, B-meson lifetimes, the Bs-B̄s lifetime difference and SUSY FCNC effects in ∆B = 2 processes are very important measurable quantities in B-meson phenomenology whose theoretical predictions depend on unknown matrix elements of several four–fermion operators. We present preliminary results for the matrix elements of the relevant four–fermion operators computed on a sample of 600 lat...