Geometric probability

1995 ◽  
pp. 16-29
Author(s):  
Henry C. Tuckwell
Keyword(s):  
Geometric Probability

Nineteenth-Century Developments in Geometric Probability: J. J. Sylvester, M. W. Crofton, J.-É. Barbier, and J. Bertrand

2001 ◽  
Vol 55 (6) ◽  
pp. 501-524 ◽  
Author(s):  
Eugene Seneta ◽  
Karen Hunger Parshall ◽  
François Jongmans
Keyword(s):  
Nineteenth Century ◽  
Geometric Probability

Geometric Probability.

1979 ◽  
Vol 142 (3) ◽  
pp. 386
Author(s):  
P. Holgate ◽  
H. Solomon
Keyword(s):  
Geometric Probability

A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study

2014 ◽  
Vol 92 (12) ◽  
pp. 1501-1527 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Standard Model ◽  
Geometric Probability ◽  
Coupling Constants ◽  
Grand Unified Theory ◽  
Neutrino Mixing ◽  
Yang Mills ◽  
Bounded Complex ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Homogeneous Domains

A Clifford Cl(5, C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × U(4) Yang–Mills in 4D, is reviewed along with its implications for the Pati–Salam (PS) group SU(4) × SU(2)L × SU(2)R, and trinification grand unified theory models of three fermion generations based on the group SU(3)C × SU(3)L × SU(3)R. We proceed with a brief review of a unification program of 4D gravity and SU(3) × SU(2) × U(1) Yang–Mills emerging from 8D pure quaternionic gravity. A realization of E8 in terms of the Cl(16) = Cl(8) ⊗ Cl(8) generators follows, as a preamble to F. Smith’s E8 and Cl(16) = Cl(8) ⊗ Cl(8) unification model in 8D. The study of chiral fermions and instanton backgrounds in CP2 and CP3 related to the problem of obtaining three fermion generations is thoroughly studied. We continue with the evaluation of the coupling constants and particle masses based on the geometry of bounded complex homogeneous domains and geometric probability theory. An analysis of neutrino masses, Cabbibo–Kobayashi–Maskawa quark-mixing matrix parameters, and neutrino-mixing matrix parameters follows. We finalize with some concluding remarks about other proposals for the unification of gravity and the Standard Model, like string, M, and F theories and noncommutative and nonassociative geometry.

scholarly journals Modeling distances between humans using Taylor’s law and geometric probability

2017 ◽  
Vol 24 (4) ◽  
pp. 197-218 ◽  
Author(s):  
Joel E. Cohen ◽  
Daniel Courgeau
Keyword(s):  
Geometric Probability ◽  
Taylor’S Law

scholarly journals A note on statistics simulation for geometric probability problems

2011 ◽  
Vol 41 (3) ◽  
pp. 253-264
Author(s):  
KaiTai FANG ◽  
YongDao ZHOU
Keyword(s):  
Geometric Probability

scholarly journals Steric effects in cyclization reactions

1976 ◽  
Vol 29 (9) ◽  
pp. 1975 ◽  
Author(s):  
SD Hamann ◽  
A Pompe ◽  
DH Solomon ◽  
TH Spurling
Keyword(s):  
Geometric Probability ◽  
Steric Effects ◽  
Cyclization Reactions

Calculations of geometric probability factors indicate that steric effects are important in determining whether the cyclization of β-substituted diallylmethylammonium ions results in five- or six-memberedrings. Evidence is obtained of the direction of intramolecular attack.

scholarly journals Geometric probability

1980 ◽  
Vol 1 (4) ◽  
pp. 375-379 ◽  
Author(s):  
Richard A. Vitale
Keyword(s):  
Geometric Probability
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