Geodesic
On a Certain Set of Linear Inequalities
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 681-690

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we shall discuss the following set of n + 1 linear inequalities: If we let , and Z = (zi) (i = 0, 1,..., n) be (n+1)-dimensional column vectors, and define the n+1 by n+1 tridiagonal matrix Dn(φ) by the set of inequalities (1) may be written where An= Dn(1) and zi≥ 0 (i = 0, 1,..., n). In sections 2 and 3, we 
Kalbfleisch, J.G.; Stanton, R. G. On a Certain Set of Linear Inequalities. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 681-690. doi: 10.4153/CMB-1968-082-6
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[1] 1. Cox, D.R. and Miller, H.D., The theory of stochastic processes. (Methuen and Co. Ltd., London, 1965) 129-132. Google Scholar

[2] 2. Henrici, P., Discrete variable methods in ordinary differential equations. (Wiley, 1962). Google Scholar

[3] 3. Kac, Mark, Random walk and the theory of Brownian motion, American Mathematical Monthly 54 (1947), 369-391. Google Scholar

[4] 4. Stanton, R.G. and Kalbfleisch, J. G., Covering problems for dichotomized matchings. Aequationes Mathematicae 1 (1968) 94-103. Google Scholar

[5] 5. Sylvester, J.J., Théorème sur les déterminants de M. Sylvester, Nouv. Annales de Math. 13 (1854) 305. Google Scholar

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