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## On PSL(2,q) as a totally irregular collineation group

### Geometriae Dedicata (1994-01-01) 49: 1-24 , January 01, 1994

Non-abelian simple totally irregular collineation groups containing an involutorial perspectivity have been classified by the authors in a recent paper. They are PSL(2,*q*), PSL(3,*q*), PSU(3,*q*), Sz(*q*), the alternating group on 7 letters, and the second Janko sporadic simple group. In this article, we study PSL(2,*q*),*q* congruent to 1 modulo 4, as a collineation group containing an involutory homology.

## A new hybrid quadrilateral finite element for mindlin plate

### Applied Mathematics and Mechanics (1994-02-01) 15: 189-199 , February 01, 1994

In this paper a new quadrilateral plate element concerning the effect of transverse shear strain has been presented. It is derived from the hybrid finite element model based on the principles of virtual work. The outstanding advantage of this element is to use more rational trial functions of the displacements. For this reason, every variety of plate deformation can be simulated really while the least degrces of freedom is employed. A wide range of numerical tests was conducted and the results illustrate that this element has a very wide application scape to the thickness of plates and satisfactory accuracy can be obtained by coarse mesh for all kinds of examples.

## A functional limit theorem for waves reflected by a random medium

### Applied Mathematics and Optimization (1994-11-01) 30: 307-334 , November 01, 1994

We introduce a class of distribution-valued stochastic processes that arise in the study of pulse reflection from random media and we analyze their asymptotic properties when they are scaled in a natural way.

## A study on Markovian maximality, change of probability and regularity

### Potential Analysis (1994-12-01) 3: 391-422 , December 01, 1994

Let*E* be a rigid separable Banach space and*m* a bounded Borel measure on*E*. Let Ext denote the family of all gradient type Dirichlet forms on*L*^{2}(*E, m*) such that the domain of their extended generators (cf. Definition 1.1) contain the smooth functions. We prove three results. First, we prove the existence of the maximum element in Ext whenever Ext is not empty. Secondly, let ℰ be the maximum element in Ext (when Ext ≠ Ø) and let φ be a positive function in D(ℰ). We define a new measure μ=φ^{2}·*m* and we consider the family Ext_{μ} associated with the measure μ. We prove that if ℰ is associated with a diffusion process, Ext_{μ} is not empty and its maximum element is also associated with a diffusion process. Finally, when*m* is a centered Gaussian measure on*E*, we can prove that Ext_{μ} contains exactly one element.

## Anti-mitre steiner triple systems

### Graphs and Combinatorics (1994-06-01) 10: 215-224 , June 01, 1994

A mitre in a Steiner triple system is a set of five triples on seven points, in which two are disjoint. Recursive constructions for Steiner triple systems containing no mitre are developed, leading to such anti-mitre systems for at least 9/16 of the admissible orders. Computational results for small cyclic Steiner triple systems are also included.

## Polynomials of generators

### Existence Families, Functional Calculi and Evolution Equations (1994-01-01) 1570: 158-163 , January 01, 1994

## On non-permutation solutions to some two machine flow shop scheduling problems

### Zeitschrift für Operations Research (1994-10-01) 39: 305-319 , October 01, 1994

In this paper, we study two versions of the two machine flow shop scheduling problem, where schedule length is to be minimized. First, we consider the two machine flow shop with setup, processing, and removal times separated. It is shown that an optimal solution need not be a permutation schedule, and that the problem is*NP*-hard in the strong sense, which contradicts some known results. The tight worst-case bound for an optimal permutation solution in proportion to a global optimal solution is shown to be 3/2. An O(*n*) approximation algorithm with this bound is presented. Secondly, we consider the two machine flow shop with finite storage capacity. Again, it is shown that there may not exist an optimal solution that is a permutation schedule, and that the problem is*NP*-hard in the strong sense.

## Puzzles about Excitable Media and Sudden Death

### Frontiers in Mathematical Biology (1994-01-01) 100: 139-158 , January 01, 1994

There still exists no quantitative understanding of ventricular fibrillation (VF), the main cause of sudden cardiac death among 300,000 Americans annually. It would be useful to have one, not only for engineering design of implantable defibrillators and clinical management of arrhythmias that threaten to become VF, but also for the satisfaction of understanding this aspect of the dynamics of excitable media and of the corresponding partial differential equations.

## Choquet-type integral representation of polysupermedian measures

### Potential Analysis (1994-12-01) 3: 359-378 , December 01, 1994

Some aspects of multi-parameter potential theory are developed: we give a Choquet-type integral representation for measures which are supermedian for a countable family of submarkovian resolvents of commuting kernels on a Radon measurable space. For the subclass of polysupermedian measures we prove a Riesz-type decomposition, and we show that there is a ‘unique’ integral representation by minimal polysupermedian measures. The setting covers a variety of very different examples like random fields, measures on product spaces which are supermedian for resolvents on the factor spaces, and completely supermedian measures.

## Differential subordinations concerning starlike functions

### Proceedings of the Indian Academy of Sciences - Mathematical Sciences (1994-05-01) 104: 397-411 , May 01, 1994

Denote by*S*^{*} (⌕), (0≤⌕<1), the family consisting of functions*f(z)=z+a*_{2}z^{2}+...+a_{n}z^{n}+... that are analytic and starlike of order ⌕, in the unit disc ⋎z⋎<1. In the present article among other things, with very simple conditions on μ, ⌕ and*h(z)* we prove the f’(z) (*f*(*z*)/*z*)^{μ−1}<*h*(*z*) implies f∈S^{*}(⌕). Our results in this direction then admit new applications in the study of univalent functions. In many cases these results considerably extend the earlier works of Miller and Mocanu [6] and others.