scholarly journals Simple Geometrical Interpretation of the Linear Character for the Zeno-Line and the Rectilinear Diameter

2010 ◽  
Vol 114 (8) ◽  
pp. 2852-2855 ◽  
Author(s):  
V. L. Kulinskii
Keyword(s):  
Geometrical Interpretation ◽  
Zeno Line ◽  
Linear Character ◽  
Rectilinear Diameter

Geometrical interpretation of the multi-point flux approximation L-method

2009 ◽  
Vol 60 (11) ◽  
pp. 1173-1199 ◽  
Author(s):  
Yufei Cao ◽  
Rainer Helmig ◽  
Barbara I. Wohlmuth
Keyword(s):  
Geometrical Interpretation ◽  
Flux Approximation

scholarly journals Physical and geometrical interpretation of theϵ≤0Szekeres models

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Charles Hellaby ◽  
Andrzej Krasiński
Keyword(s):  
Geometrical Interpretation

The deformation multiplicity of a map germ with respect to a Boardman symbol

2001 ◽  
Vol 131 (5) ◽  
pp. 1003-1022 ◽  
Author(s):  
C. Bivià-Ausina ◽  
J. J. Nuño-Ballesteros
Keyword(s):  
Geometrical Interpretation ◽  
Algebraic Multiplicity ◽  
Homogeneous Map

We define the deformation multiplicity of a map germ f: (Cn, 0) → (Cp, 0) with respect to a Boardman symbol i of codimension less than or equal to n and establish a geometrical interpretation of this number in terms of the set of Σi points that appear in a generic deformation of f. Moreover, this number is equal to the algebraic multiplicity of f with respect to i when the corresponding associated ring is Cohen-Macaulay. Finally, we study how algebraic multiplicity behaves with weighted homogeneous map germs.

Algorithms for Stochastic Games with Geometrical Interpretation

1969 ◽  
Vol 15 (7) ◽  
pp. 399-415 ◽  
Author(s):  
M. A. Pollatschek ◽  
B. Avi-Itzhak
Keyword(s):  
Stochastic Games ◽  
Geometrical Interpretation

SOME ALGEBRAICAL, COMBINATORIAL AND ANALYTICAL PROPERTIES OF PARAGRASSMANN VARIABLES

2005 ◽  
Vol 20 (20n21) ◽  
pp. 4797-4819 ◽  
Author(s):  
MATTHIAS SCHORK
Keyword(s):  
Differential Equations ◽  
Fibonacci Numbers ◽  
Delta Function ◽  
Geometrical Interpretation ◽  
Generalized Fibonacci Numbers ◽  
Analytical Properties ◽  
Witten Index ◽  
Grassmann Variables

Some algebraical, combinatorial and analytical aspects of paragrassmann variables are discussed. In particular, the similarity of the combinatorics involved with those of generalized exclusion statistics (Gentile's intermediate statistics) is stressed. It is shown that the dimensions of the algebras of generalized grassmann variables are related to generalized Fibonacci numbers. On the analytical side, some of the simplest differential equations are discussed and a suitably generalized Berezin integral as well as an associated delta-function are considered. Some remarks concerning a geometrical interpretation of recent results about fractional superconformal transformations involving generalized grassmann variables are given. Finally, a quantity related to the Witten index is discussed.

scholarly journals Dilatometric Characterization of Foundry Sands

2012 ◽  
Vol 12 (2) ◽  
pp. 9-14 ◽  
Author(s):  
M. Břuska ◽  
J. Beňo ◽  
M Cagala ◽  
V Jasinková
Keyword(s):  
Physical Chemistry ◽  
Grain Shape ◽  
Linear Character ◽  
Foundry Sands ◽  
Theoretical Assumptions ◽  
Shape And Size

Dilatometric Characterization of Foundry Sands The goal of this contribution is summary of physical - chemistry properties of usually used foundry silica and no - silica sands in Czech foundries. With the help of dilatometry analysis theoretical assumptions of influence of grain shape and size on dilatation value of sands were confirmed. Determined was the possibility of dilatometry analysis employment for preparing special (hybrid) sands with lower and/or more linear character of dilatation.

scholarly journals III. Octonions

1896 ◽  
Vol 59 (353-358) ◽  
pp. 169-181
Keyword(s):  
Linear Function ◽  
Geometrical Interpretation

Octonions is a name adopted for various reasons in place of Clifford’s Bi- quaternions . Formal quaternions are symbols which formally obey all the laws of the quaternion symbols , q (quaternion), x (scalar), ρ (vector) ϕ (linear function in both its ordinary meanings), ϕ' (conjugate of ϕ ), i, j, k, ζ , K q , S q , T q , U q , V q . Octonions are in this sense formal quaternions. Each octonion symbol, however, requires for its specification just double the number of scalars required for the corresponding quaternion symbol. Thus, of every quaternion formula involving the above symbols there is a geometrical interpretation more general than the ordinary quaternion one, an octonion interpretation.

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