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## Front Matter - Calculus Made Easy

### Calculus Made Easy (1998-01-01) , January 01, 1998

## Über die Normalteiler scharf zweifach und scharf dreifach transitiver Permutationsgruppen

### Journal of Geometry (1998-02-01) 61: 182-196 , February 01, 1998

A sharply 2-transitive (3-transitive) group*T* can be described by means of a neardomain*F* (a KT-field(F,*ε*)). We show, that*T* has a least nontrivial normal subgroup*A (S(F,ε))*, if*F* is a nearfield or if Char*F*≠ 2. In this case the nontrivial normal subgroups of*T* correspond bijectively with all normal subgroups*F*^{*} (the multiplicative group of*F*) containing a set*D (D(Q)*). If*F* is a nearfield or if*F* has a suitable central element, then the group S(F,*ε*) is simple.

## Submanifolds

### Locally Conformal Kähler Geometry (1998-01-01) 155: 147-186 , January 01, 1998

Let (M
_{0}^{2n}
,J,g_{0}) be a Hermitian manifold of complex dimension *n* (where *J* denotes its complex structure and *g*_{0} its Hermitian metric). Let
$$
\Psi :M^m \to M_0^{2n}
$$
be an immersion of a real *m*-dimensional C^{∞}manifold M^{m} in M
_{0}^{2n}
. To keep notation to a minimum,we do not distinguish between *x* and Ψ*(x)*,or between *X* and Ψ_{*}*X*,etc., for any x ∈ M^{m}, *X* ∈ T_{x}(M^{m}).

## German women in chemistry, 1925–1945 (part II)

### NTM International Journal of History & Ethics of Natural Sciences, Technology & Medicine (1998-12-01) 6: 65-90 , December 01, 1998

The paper traces the role of German women into the chemistry profession from 1925 to 1945, examining their relative numbers and experience in higher education, in academic and industrial careers as well as in professional organizations such as the Verein Deutscher Chemikerinnen. The paper examines the effect of the 1930s Depression, National Socialism, and World War II on women chemists, considering both general trends as well as the experiences and achievements of several individual women in a variety of situations. Finally, it considers the longterm consequences of these developments, such as the Nazi expulsion of Jewish women, destruction of women’s organizations and devaluing of women’s achievements, in limiting the recognition and participation of German women chemists after 1945.

## Construction of convex continuations for functions defined on a hypersphere

### Cybernetics and Systems Analysis (1998-03-01) 34: 176-184 , March 01, 1998

Construction of convex continuations for functions defined on the vertices of some combinatorial polyhedra, in particular the permutation polyhedron and the arrangement polyhedron, has been studied in [1, 2]. Subsequently this result has been generalized to functions defined at the extreme points of an arbitrary polyhedron [3]. For purposes of combinatorial optimization [4-6] it is relevant to consider the existence and construction of convex continuations from continua, in particular, when the function is defined on a hypersphere in the*k*-dimensional space. Unfortunately, passage to the limit from discrete sets to continua does not produce positive results in this case. We are thus forced to develop special approaches to investigating the existence of convex continuations of functions defined on continua.

## Maslov index and symplectic sturm theorems

### Functional Analysis and Its Applications (1998-07-01) 32: 172-182 , July 01, 1998

## Principally Important Properties

### Locally Conformal Kähler Geometry (1998-01-01) 155: 7-19 , January 01, 1998

A fundamental problem in l.c.K. geometry is to decide which l.c.K. manifolds admit some globally defined Kähler metric. We may state*Theorem 2.1*(Cf. [273])*Let (M*^{2n},*J,g) be a compact l.c.K. manifold. Then (M*^{2n}*J,g)is g.c.K. if and only if there is some global Kähler metric on M*^{2n}.

## Degenerations for representations of extended Dynkin quivers

### Commentarii Mathematici Helvetici (1998-03-01) 73: 71-88 , March 01, 1998

### Abstract.

Let *A* be the path algebra of a quiver of extended Dynkin type
$ \tilde {\Bbb {A}}_n, \tilde {\Bbb {D}}_n, \tilde {\Bbb {E}}_6, \tilde {\Bbb {E}}_7 $
or
$ \tilde {\Bbb {E}}_8 $
. We show that a finite dimensional *A*-module *M* degenerates to another *A*-module *N* if and only if there are short exact sequences
$ 0 \to U_i \to M_i \to V_i \to 0 $
of *A*-modules such that
$ M = M_1 $
,
$ M_{i+1} = U_i \oplus V_i $
for
$ 1 \leq i \leq s $
and
$ N = M_{s+1} $
are true for some natural number *s*.

## A Discretization for Control Problems with Optimality Test

### Variational Calculus, Optimal Control and Applications (1998-01-01) 124: 41-52 , January 01, 1998

The paper deals with a *Ritz* type discretization for constrained optimal control problems. The approach starts from a primal-dual formulation containing the *Hamilton*-*Jacobi* inequality in integrated form. For the discrete problems there are given conditions guaranteeing the optimality of the limit solution. They take the form of a discrete analogy to certain matrix *Riccati* differential inequality.

## Polynomial approximation of functions with given order of thekth generalized modulus of smoothness

### Mathematical Notes (1998-03-01) 63: 374-383 , March 01, 1998

The problem of approximation by algebraic polynomials is considered on function classes characterized by the value of the*k*th generalized modulus of smoothness defined by the Jacobi generalized shift operator.