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Geometric Probability on the Sphere
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2017This is a beautiful, expository paper containing many interesting results from geometric probability on the surface of a ball in three-dimensional space. The authors carefully develop the geometric machinery needed to present their arguments in an intuitive, elementary and elegant way.
Maehara, Hiroshi, Martini, Horst
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A Problem in Geometrical Probability
Mathematics Magazine, 1970(1970). A Problem in Geometrical Probability. Mathematics Magazine: Vol. 43, No. 5, pp. 237-244.
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Invariant Probabilities with Geometric Tail
Probability in the Engineering and Informational Sciences, 1996We present necessary and suffi2ient Foster-type conditions for a countable state Markov chain to have an invariant probability with at least a geometric tail. These conditions are obtained by using a generalized Farkas Theorem in Linear Algebra. The purpose of this note is also to pose an interesting and important research problem that is still largely
Tijms, H.C., Lasserre, J.B.
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Geometrical Approach to the Theory of Probability
American Journal of Physics, 1961The purpose of this paper is twofold: first, we wish to present an interesting geometrical approach to the derivation of some familiar equations in the theory of probability, and second, we wish to use this newer approach for extending the scope of the equations.
McLachlan, Dan jun., Chamberlain, L. L.
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A Geometrical Approach to Probability
Mathematics Magazine, 1964(1964). A Geometrical Approach to Probability. Mathematics Magazine: Vol. 37, No. 5, pp. 287-296.
H. D. Brunk, L. G. Gref
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The Mathematical Intelligencer, 1998
This is the first of three colloquium lectures given by the author at the annual AMS meeting 1997. It emphasizes the role of intrinsic volumes as a basic notion in geometric probability. After passing from volume and surface area to mean width (in 3-space), the Euler characteristic is discussed in more detail.
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This is the first of three colloquium lectures given by the author at the annual AMS meeting 1997. It emphasizes the role of intrinsic volumes as a basic notion in geometric probability. After passing from volume and surface area to mean width (in 3-space), the Euler characteristic is discussed in more detail.
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Geometrical Probability Covering Algorithm
2005In this paper, we propose a novel classification algorithm, called geometrical probability covering (GPC) algorithm, to improve classification ability. On the basis of geometrical properties of data, the proposed algorithm first forms extended prototypes through computing means of any two prototypes in the same class.
Junping Zhang, Stan Z. Li, Jue Wang 0004
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In the world of mathematics
Geometric probability is a valuable tool for analyzing random events that involve geometric objects, either directly or indirectly. Many problems in probability theory lend themselves to geometric interpretation. With a basic understanding of probability and school-level mathematics, one can solve such problems effectively.
Inna Vyshenska, Svitlana Kushnirenko
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Geometric probability is a valuable tool for analyzing random events that involve geometric objects, either directly or indirectly. Many problems in probability theory lend themselves to geometric interpretation. With a basic understanding of probability and school-level mathematics, one can solve such problems effectively.
Inna Vyshenska, Svitlana Kushnirenko
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SOLUTION TO A GEOMETRICAL PROBLEM IN PROBABILITY
Annals of Eugenics, 1939The articles published by the Annals of Eugenics (1925–1954) have been made available online as an historical archive intended for scholarly use. The work of eugenicists was often pervaded by prejudice against racial, ethnic and disabled groups. The online publication of this material for scholarly research purposes is not an endorsement of those views
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