The ratios of diameter and width of reduced and of complete convex bodies in Minkowski spaces

2017 ◽  
Vol 59 (2) ◽  
pp. 211-220
Author(s):  
Christian Richter
Keyword(s):  
Convex Bodies ◽  
Minkowski Spaces

Universal points of convex bodies and bisectors in Minkowski spaces

2014 ◽  
Vol 14 (3) ◽  
Author(s):  
I. Bárány ◽  
R. Schneider
Keyword(s):  
Convex Bodies ◽  
Minkowski Spaces

scholarly journals Ball convex bodies in Minkowski spaces

2017 ◽  
Vol 289 (2) ◽  
pp. 287-316 ◽  
Author(s):  
Thomas Jahn ◽  
Horst Martini ◽  
Christian Richter
Keyword(s):  
Convex Bodies ◽  
Minkowski Spaces

Excess entropy of the systems of molecules differing in size and shape

1983 ◽  
Vol 48 (1) ◽  
pp. 192-198 ◽  
Author(s):  
Tomáš Boublík
Keyword(s):  
Equation Of State ◽  
Hard Spheres ◽  
Excess Entropy ◽  
Convex Bodies ◽  
Pure Substance ◽  
Liquid Equilibrium ◽  
Simple Rules ◽  
Different Shapes ◽  
The Mean

The excess entropy of mixing of mixtures of hard spheres and spherocylinders is determined from an equation of state of hard convex bodies. The obtained dependence of excess entropy on composition was used to find the accuracy of determining ΔSE from relations employed for the correlation and prediction of vapour-liquid equilibrium. Simple rules were proposed for establishing the mean parameter of nonsphericity for mixtures of hard bodies of different shapes allowing to describe the P-V-T behaviour of solutions in terms of the equation of state fo pure substance. The determination of ΔSE by means of these rules is discussed.

scholarly journals Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in ℝn\mathbb{R}^{n}

2020 ◽  
Vol 26 (1) ◽  
pp. 67-77 ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Euclidean Space ◽  
Convex Functions ◽  
Convex Bodies ◽  
Integral Inequalities ◽  
Divergence Theorem ◽  
Several Variables ◽  
Type Integral ◽  
Bounded Convex

AbstractIn this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite–Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space {\mathbb{R}^{n}} for any {n\geq 2}.

Masslessness and light-cone propagation in 3+2 de Sitter and 2+1 Minkowski spaces

1986 ◽  
Vol 33 (2) ◽  
pp. 415-420 ◽  
Author(s):  
M. Flato ◽  
C. Fronsdal ◽  
J. P. Gazeau
Keyword(s):  
Light Cone ◽  
De Sitter ◽  
Minkowski Spaces

ON THE VOLUME RATIO OF TWO CONVEX BODIES

2002 ◽  
Vol 34 (06) ◽  
pp. 703-707 ◽  
Author(s):  
A. GIANNOPOULOS ◽  
M. HARTZOULAKI
Keyword(s):  
Convex Bodies ◽  
Volume Ratio

Cluster integrals contributing to the fourth virial coefficient of hard convex bodies

2001 ◽  
Vol 99 (5) ◽  
pp. 435-441 ◽  
Author(s):  
JIŘÍ JANEČEK ◽  
TOMÁŠ BOUBLÍK
Keyword(s):  
Virial Coefficient ◽  
Convex Bodies ◽  
Cluster Integrals
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