Bonding properties in organolithium aggregates

Results are given of the application of the CNDO/2 method to bonding in alkyllithium aggregates. Calculations relative to monomers and dim ers of methyl-, ethyl-, and vinyllithium, plus methyllithium tetramer are described.     

Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung

Ohne Zusammenfassung     

Betrachtungen zu einer vereinheitlichten Kerntheorie

In the beginning it is shortly reviewed how one can obtain in the frame of the Rayleigh-Schrödinger variational principle a unified structure and reaction theory which includes any kind of bombarding particles and reaction fragments. Then methods are discussed which allow to simplify the practical reaction calculations. Special emphasis is given to the question how in a natural way one can connect shellmodel- and cluster-calculations. Finally it is shortly mentioned how one can apply similar considerations to the atomic- and molecular-reactions.     

Steifigkeitsmatrizen dünnwandiger Stäbe und Stabsysteme

Übersicht Die Steifigkeitsmatrizen dünnwandiger Stäbe werden nach der vereinfachten Theorie im Hauptsystem abgeleitet und auf exzentrische Knotenpunkte transformiert. Die Schubdeformation der Stabmittelfläche wird näherungsweise erfaßt. Neben der wölbfreien und wölbstarren Aussteifung wird die wölbelastische Aussteifung berücksichtigt.

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Summary The stiffness matrices of thin-walled bars are determined and transformed to excentric nodal points starting from the simplified theory. The shear strain of the middle plane of the bar is approximately included. The warping elasticity of the stiffener is considered including free warping and completely suppressed warping.

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Bericht des Instituts für Statik und Dynamik der Luft- und Raumfahrtkonstruktionen der Universität Stuttgart (ISD), Direktor: Professor Dr. Dr. h. c. J. H. Argyris.     

Common behaviour of power indices

The variations ensuing in a weighted majority game are studied when a player increases his weight in prejudice of others or decreases in favor, or trades shares outside the game (in particular when an-person game becomes an (n+1)-person one). An invariant behaviour for different game values is found for all these cases. Possible applications to politics, shareholdings and large games are pointed out.     

Some collineations in projective planes induced by net collineations

When in a 3-net the three line pencils are permuted, then with some additional requirements the net is mapped onto itself in a way which also induces a map of a coordinatizing loop (Q^*), onto another, isostrophic loop (Q^*, Ø). Every identity ab = aØb induces a net collineation and, simultaneously, a loop law. This procedure is used for finding collineations of a translation plane such that their existence is a necessary and sufficient condition for the validity of some laws in the multiplicative loop of a coordinatizing quasifield. Proofs can be found in [1, 2, 3].     

A characterization of polyhedral market games

The class of games without side payments obtainable from markets having finitely many commodities and continuous concave utility functions is considered. It is first shown that each of these so-called market games is totally balanced, for a reasonable generalization of the idea of a balanced side payment game. It is then shown that among polyhedral games (i.e., games for which each (V(S) is a polyhedron), this property characterizes the market games.