Geometrical properties of the extreme Kerr black holes in the topological sectors of nonextreme and extreme configurations are studied. We find that the Euler characteristic plays an essential role to distinguish these two kinds of extreme black holes. The relationship between the geometrical properties and the intrinsic thermodynamics

We present gclc/Wingclc— a tool for visualizing geometrical (and not only geometrical) objects and notions, for teaching/studying mathematics, and for producing mathematical illustrations of high quality. gclc uses a language gc for declarative representation of figures and for storing mathematical contents of visual nature in textual form. In gclc, there is a build-in geometrical theorem prove...

At the present study, different properties of Sarin with the formula [(CH3)2CHO]CH3POF was studiedin gas phase. Geometrical optimizations of Sarin, single point calculation, NMR and Electricalparameters were carried out in gas phase with the Hartee -Fock method coupled to 6-31g* basis setsfor all atoms. The results obtained from a comparison between tables and charts came up fordiscussion and a...

in this research dft/b3lyp method has been employed to investigate the geometrical structures,relative stabilities, and electronic properties of cun (n=3–10) clusters for clarifying the effect of sizeon the properties. through a careful analysis of the successive binding energies, second-orderdifference of energy and the highest occupied-lowest unoccupied molecular orbital energy gaps as afunct...

This paper presents a new approach for watermarking of digital images providing robustness to geometrical distortions. The weaknesses of classical watermarking methods to geometrical distortions are outlined first. Geometrical distortions can be decomposed into two classes: global transformations such as rotations and translations and local transformations such as the StirMark attack. An overvi...

Geometrical notions and properties occur in real-world problems, thus Geometry has an important place in school Mathematics curricula. Primary school curricula lays the foundation of Geometry knowledge, pupils learn Geometry notions and properties by exploring their environment. Thus it is very important that primary school teachers have a good base in elementary Geometry. The aim of this paper...

some physical properties such as geometrical, gravimetrical, frictional and aerodynamic features of seeds of desi chickpea and its splits were studied at a moisture content of 8.2 and 9.0% w., respectively from north-western of iran. geometrical and gravimetrical properties including the average length, width, thickness, the geometric mean of diameter, sphericity, 1000-seed weight, unit weight,...