We study the functional codes of order h defined by G. Lachaud on X ⊂ P(Fq) a nondegenerate Hermitian variety. We give a condition of divisibility of the weights of the codewords. For X a non-degenerate Hermitian surface, we list the first five weights and the corresponding codewords and give a positive answer on a conjecture formulated on this question. The paper ends with a conjecture on the ...

We prove that the coefficients of certain weight −1/2 harmonic Maass forms are “traces” of singular moduli for weak Maass forms. To prove this theorem, we construct a theta lift from spaces of weight −2 harmonic weak Maass forms to spaces of weight −1/2 vectorvalued harmonic weak Maass forms on Mp2(Z), a result which is of independent interest. We then prove a general theorem which guarantees (...

Smoothness constraints are formulated for weights in H∞ loop-shaping design in order to ensure smooth variations in their magnitude response. Smoothness in the magnitude response of weights prevents the cancelation of lightly damped poles/zeros of the plant when the shaped plant is formed by cascading the nominal plant with the weights. It also allows fitting by low-order transfer functions whe...

This article analyzes the interactions through which primary-care nurses and patients accomplish patient weighing. The analysis is based on videotaped nurse-adult patient interactions in clinics in the area of Southern California. Detailed examination of co-participants' naturally situated weighing conduct shows that parties recurrently deliver utterances that go beyond that required to accompl...

We study the functional codes of second order defined by G. Lachaud on X ⊂ P(Fq) a quadric of rank(X )=3,4,5 or a non-degenerate hermitian variety. We give some bounds for the number of points of quadratic sections of X , which are the best possible and show that codes defined on non-degenerate quadrics are better than those defined on degenerate quadrics. We also show the geometric structure o...

We imitate some approaches in infinite dimensional representation theory of complex semisimple Lie algebras by using the truncated category method in the categories of modules for certain Frobenius subgroups of a semisimple algebraic group over an algebraically closed field of characteristic p > 0. By studying the translation functors from p-singular weights to p-regular weights, we obtain some...