We study the combinatorial function L(k, q), the maximum number of nonzero weights a linear code of dimension k over Fq can have. We determine it completely for q = 2, and for k = 2, and provide upper and lower bounds in the general case when both k and q are ≥ 3. A refinement L(n, k, q), as well as nonlinear analogues N(M, q) and N(n,M, q), are also introduced and studied.

The purpose of this study was to describe the nonlinear pharmacokinetics of piperacillin observed during intermittent infusion and continuous infusion by using a nonparametric population modeling approach. Data were 120 serum piperacillin concentration measurements from eight adult cystic fibrosis (CF) patients. Individual pharmacokinetic parameter estimates during intermittent infusion or cont...

Combining nonmonotone trust region algorithms and PSO methods, we propose a mixed method for nonlinear complementarity problems. The iterative formula of k μ is very simple. When the determinant of k k B I λ + is very large or small, the PSO method will obtain a new point which gets us better astringency. Numerical test results show the effectiveness of this algorithm.

Based on homotopy, which is a basic concept in topology, a general analytic method (namely the homotopy analysis method) is proposed to obtain series solutions of nonlinear differential equations. Different from perturbation techniques, this approach is independent of small/large physical parameters. Besides, different from all previous analytic methods, it provides us with a simple way to adju...

Propagation criterion of degree l and order k (PC(l) of order k) for Boolean functions is important for the design of block ciphers. In [1-2] Kurosawa , Stoh and Carlet give several constructions of Boolean functions satisfying PC(l) of order k from binary linear or nonlinear codes.

An algorithm (which does not involve the usual Riccati-type equation) for computing t/e gain matrices of the Kalman filter is presented. If the dimension k of the state space is much larger than that of the observation process, the number of nonlinear equations to be solved in each step is of order k rather than k as by the usual procedure.

1 An approach to fuzzy control of nonlinear systems: Stability and design issues Wang, HO; Tanaka, K; Griffin, MF IEEE TRANSACTIONS ON FUZZY SYSTEMS 1029 STABILITY ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEMS TANAKA, K; SUGENO, M FUZZY SETS AND SYSTEMS 1013 Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs Tanaka, K; Ikeda, T; Wang, HO IEEE TRANSACTIONS ON...

In this paper sub-equation method with symbolic computational method is used for constructing the new exact travelling wave solutions for some nonlinear evolution equations arising in mathematical physics namely,the WBK, Z–K equation, and coupled nonlinear equations . As a result,the traveling wave solutions are obtained include, solitons, kinks and plane periodic solutions. It worthwhile to me...

We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where [f ](x) := f(x+)− f(x−) = 0. Our approach is based on two main aspects—localization using appropriate concentration kernels and separation of scales by nonlinear enhancement. To detect such edges, one employs concentration kernels, K (·), depending on the small scale ...

It is well known that good bounds for solutions of nonlinear diierential equations are diicult to obtain. In this paper, we establish a theorem comparing non-negative solutions (having identical initial values) of the equations u 00 (t) + q(t)u p (t) + r(t)u(t) = 0 and v 00 (t) + k(t)q(t)v p (t) + r(t)u(t) = 0, respectively. If q(t); r(t) 0, k(t) 1, k(t) is non-decreasing, and the rst equation ...