In rate division multiple access (RDMA), transmission interval between pulses of each user, also referred as user period, is made different so that pulses transmitted by other users can be interleaved within that interval. To reduce collision probability in such scheme, each node requires to generate relative prime from which the user period is computed. We present a novel scheme to generate un...

We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period pq, where p and q are two distinct odd primes. This includes the twin-prime sequences of period p(p + 2) whenever both p and p + 2 are primes, corresponding to cyclic Hadamard difference sets. c © 2008 Elsevier B.V. All rights reserved.

In this paper we study the problem of optimizing the two-level representation of a Boolean function in order to minimize power consumption in PLAs. We first give power models used to estimate the power consumption in pseudo-NMOS and dynamic PLAs. Using these power cost functions we then prove that a minimum power solution for dynamic PLAs consists only of prime implicants of the function. For p...

We prove the generalized Hyers--Ulam stability  of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.

What is the dimension of a smooth family of complex Hadamard matrices including the Fourier matrix? We address this problem with a power series expansion. Studying all dimensions up to 100 we find that the first order result is misleading unless the dimension is 6, or a power of a prime. In general the answer depends critically on the prime number decomposition of the dimension. Our results sug...

Stuart J. Allen Reference: Jones, Philip C., Timothy J. Lowe, Rodney D. Traub, Greg Kegler. 2001. Matching Supply and Demand: The Value of a Second Chance in Producing Hybrid Seed Corn. Manufacturing & Service Operations Management. Vol. 3, No. 2, pp. 122-137. Introduction This is an attempt to fathom the approach of Jones, et al to the problem stated in the title. We assume that the reader has...