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## More field theory

### Algebraic Structures (1995-01-01): 53-64 , January 01, 1995

Let *p* be a prime. Let *A* be a commutative ring such that *p* · 1 = 0. Then we want to prove

## IRREML, a tool for fitting a versatile class of mixed models for ordinal data

### Statistical Modelling (1995-01-01) 104: 141-150 , January 01, 1995

Our aim is to develop models for ordered categorical data that are as general as for continuous data and allow for similar inferential procedures. The basic model is the common threshold or grouped continuous model, assuming a underlying continuous variable *z* which is observed imperfectly. Any family of continuous distributions is a candidate for approximating the distribution of *z* and a generalised linear mixed model may be specified for its parameters. The choice of distribution induces the link function that links the mean of the observed frequencies to one of the parameters of the distribution of z, usually the location. The remaining parameters of the distribution of z are parameters of this link function. The link parameters are estimated by local linearisation of the link function, which extends the model to an approximate generalised linear mixed model including linear contributions of the link parameters. All parameters of the model are estimated simultaneously by iterative reweighted REML. It is feasible to analyse fairly general models for the parameters of the distribution of z, in particular its location and scale parameter.

## Front Matter - Theory of Commuting Nonselfadjoint Operators

### Theory of Commuting Nonselfadjoint Operators (1995-01-01): 332 , January 01, 1995

## Transformation Groups in Differential Geometry

### Transformation Groups in Differential Geometry (1995-01-01): 70 , January 01, 1995

## Simple sheaves along dihedral Lagrangians

### Journal d’Analyse Mathématique (1995-12-01) 66: 331-344 , December 01, 1995

We prove the unicity of a complex of sheaves*F* whose microsupport is carried by a “dihedral” Lagrangian Λ of*T*^{*} X (*X*=a real manifold) and which is simple with a prescribed shift at a regular point of Λ. Our method consists in reducing Λ, by a real contact transformation, to the conormal bundle to a*C*^{1}-hypersuface, and then in using [K-S 1, Prop. 6.2.1] in the variant of [D'A-Z 1]. This is similar to [Z 2] but more general, since complex contact transformations and calculations of shifts are not required. We then consider the case of a complex manifold*X*, and obtain some vanishing theorems for the complex of “microfunctions along Λ” similar to those of [A-G], [A-H], [K-S 1] (cf. also [D'A-Z 3 5], [Z 2]).

## On the exponential function of an ordered manifold with affine connection

### Mathematische Zeitschrift (1995-01-01) 218: 1-23 , January 01, 1995

## Variational Methods and Nonlinear Problems: Classical Results and Recent Advances

### Topological Nonlinear Analysis (1995-01-01) 15: 1-36 , January 01, 1995

Around the end of the Twenties two memoires, a first one by Morse [63] and a second one by Lusternik and Schnirelman [59], marked the birth of those variational methods known under the name of *Calculus of Variation in the Large*. These tools are mainly concerned with the existence of critical points, distinct from minima, which give rise to solutions of nonlinear differential equations. The elegance of the abstract tools and the broad range of applications to problems that had been considered of formidable difficulty, such as the existence of closed geodesics on a compact anifold or the problem of minimal surfaces, have rapidly made the Calculus of Variation in the Large a very fruitful field of research.

## Approximation of compressions of periodic functions in the spaceL p,p<1

### Ukrainian Mathematical Journal (1995-12-01) 47: 1953-1957 , December 01, 1995

We investigate the behavior of the best approximation of compressions of functions by trigonometric polynomials in the space*L*_{p}, p<1.

## Orthogonal sums of semigroups

### Israel Journal of Mathematics (1995-10-01) 90: 423-428 , October 01, 1995

The purpose of this paper is to prove that every semigroup with the zero is an orthogonal sum of orthogonal indecomposable semigroups. We prove that the set of all 0-consistent ideals of an arbitrary semigroup with the zero forms a complete atomic Boolean algebra whose atoms are summands in the greatest orthogonal decomposition of this semigroup.

## The classes Bm,1 and Hölder continuity for doubly degenerate parabolic equations

### Journal of Mathematical Sciences (1995-08-01) 75: 2011-2027 , August 01, 1995

Inner and boundary Hölder estimates for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations are established. The proof of these results is based on studing some classes B_{m,1} that can be considered as extensions of the classes B_{2} introduced by Ladyzhenskaya and Uraltseva and the classes B_{m} introduced by DiBenedetto. The embedding of the classes B_{m,1} in appropriate Hölder spaces is proved. Bibliography: 20 titles.