Results 221 to 230 of about 85,700 (265)
Some of the next articles are maybe not open access.
Numerical Patterns and Geometrical Configurations
Mathematics Magazine, 1984Today, in contrast to Hilbert's assertion, most students have limited knowledge about configurations-except perhaps Pappus' 93, Desargues' 103 and Petersen's 103152 (the logo on the cover of the Journal of Graph Theory). These configurations are shown in FIGURE 1.
Warren Page, Harold L. Dorwart
openaire +1 more source
Geometrization of configuration space
Journal of Mathematical Physics, 1977Projective geometry provides the means to geometrize configuration space, granted three elementary postulates: (1) It is possible to describe physical systems as collections of a countable number n of particles; (2) the mass-inertial tensor of such a system is positive definite; (3) the Galilei group acting on elastic bodies can be rationally extended ...
openaire +1 more source
An approach to understanding geometrical configurations by computer
International Journal of Computer & Information Sciences, 1980A new approach to computer-based interpretation and description of geometrical configurations is presented. This approach is algorithmic in nature, and is based upon topological transformations. Topological information in a geometrical configuration is extracted from its octal chain representation.
openaire +2 more sources
Geometric Configurations for Robots
1986Robots take a bewildering variety of forms: arms of all shapes, vehicles with all possible arrangements of wheels or legs, and devices which although clearly robotic are neither vehicles nor arms. This chapter makes sense of this variety by explaining how the functions required of a robot can be met by combinations of mechanical elements such as links ...
openaire +1 more source
Geometrical Configuration of Dialkyl Naphthenes
Nature, 1947Present information on the spatial configuration of the dialkyl cyclopentanes and cyclohexanes is unsatisfactory. Zelinsky1 concluded from the result of an asymmetric synthesis that the lower-boiling isomer of 1: 3-dimethylcyclohexane had the trans configuration, and following on this later workers have assigned the trans structure to the lower boiling
S. F. BIRCH, W. J. OLDHAM
openaire +1 more source
A note on simplices as geometric configurations
Archiv der Mathematik, 1987The family of geometric axioms generalizing Veblen, Tamaschke and Desargues axioms for geometric spaces is introduced and relations among them are studied. Geometric space is defined as a point set X together with a parallelism \(: X^ 2\to R\) (R is the set of directions). Special cases, namely group fiberings are described in more details. Finally the
openaire +2 more sources
The encoding of arbitrary two-dimensional geometric configurations
International Journal of Computer & Information Sciences, 1981A procedure is proposed which uses some basic aspects of topology for the description and encoding of arbitrary solid two-dimensional configurations. It is shown that the procedure is closely related to the octagonal chain encoding scheme for arbitrary curves.
Stephanie M. Boyles, Gerhard X. Ritter
openaire +2 more sources
Representing Geometric Configurations
1996How should we represent a geometric configuration? Building on artificial intelligence investigations of ‘knowledge representation’ and research on constrained diagrams in CAD, criteria are presented for an ‘adequate representation’ of a discrete geometric set.
openaire +1 more source
Geometrical configurations of H4+ and the Jahn–Teller effect
Chemical Physics Letters, 1998Abstract The present work has found seven stable geometrical configurations of Pu 4 using the density functional method Becke3LYP with relativistic effective core potentials (RECP). Based on the Jahn–Teller effect, vibronic interaction and the resolution of group representations, the analysis of the relationships among these various geometrical ...
D.Q. Meng, Z.H. Zhu, G. Jiang
openaire +1 more source
Configuration Isomers: Geometric Isomerism
2021Geometric isomers differ in the spatial arrangement of substituents on a double bond or non-aromatic ring system. Especially in the case of 1,2-disubstituted alkenes, one usually speaks of a cis-/trans- isomerism. In the case of longer chains and/or higher substituted compounds, naming according to the (Z)-, (E)- notation using the CIP rules is ...
openaire +1 more source