Multiplier with Parallel CSA Using CRT's Specific Moduli (2k-1, 2k , 2k+1)

Semi-Custom VLSI Design and Implementation of a New Efficient RNS Division Algorithm

In this paper we introduce a new algorithm for division in residue number system, which can be applied to any moduli set. Simulation results indicated that the algorithm is faster than the most competitive published work. To further improve this speed, we customize this algorithm to serve two specific moduli sets: (2k, 2k −1, 2k−1 −1) and (2k +1, 2k, 2k −1). The customization results in elimina...

Models of Dynamical Supersymmetry Breaking from a SU(2k+3) Gauge Model

We investigate three classes of supersymmetric models which can be obtained by breaking the chiral SU(2k+3) gauge theories with one antisymmetric tensor and 2k-1 antifundamentals. For N=3, the chiral SU(2k)×SU(3)×U(1) theories break supersymmetry by the quantum deformations of the moduli spaces in the strong SU(2k) gauge coupling limit. For N=2, it is the generalization of the SU(5)×U(2)×U(1) m...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Appendix for FCD Load Balancing under Switching Costs and Imperfect Observations

I. PROOF OF PROPOSITION 1 Proof: Consider a simple example of n = 2 servers in a super time slot. At t = 2k, assume without loss of generality that X 1 (2k) > X 2 (2k). At the exploration slot t = 2k+1 with exploration probability γ 2k , the expected number of users is thus E [X 1 (2k + 1)] = X 1 (2k)(1 − γ 2k) + X 2 (2k)γ 2k E [X 2 (2k + 1)] = X 2 (2k)(1 − γ 2k) + X 1 (2k)γ 2k. On one hand, ea...

A Combinatorial Proof of a Relationship Between Maximal $(2k-1, 2k+1)$-Cores and $(2k-1, 2k, 2k+1)$-Cores

Integer partitions which are simultaneously t–cores for distinct values of t have attracted significant interest in recent years. When s and t are relatively prime, Olsson and Stanton have determined the size of the maximal (s, t)-core κs,t. When k > 2, a conjecture of Amdeberhan on the maximal (2k − 1, 2k, 2k + 1)-core κ2k−1,2k,2k+1 has also recently been verified by numerous authors. In this ...