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The theory of spline functions is developed to a point which allows us to establish the properties of spline interpolation for the case of multiple nodes. The genesis of Polya frequency functions from spline functions is developed. (Author).
The theory of spline functions is developed to a point which allows us to establish the properties of spline interpolation for the case of multiple nodes.
In the present paper, certain random damage models are examined, such as the Generalized Markov-Polya and the Quasi-Binomial, in which an integer-valued random variable N is reduced to N(A). If N(B) is the missing part, where N = N(A) + N(B), the covariance between N(A) and N(B) is obtained for some general classes of distributions, such as the G.P.S.D. and M.P.S.D. for the random variable N.A characterization theorem is proved that under the generalized Markov-Polya damage model, the random variables N(A) and N(B) are independent if, and only if, N has the Generalized Polya-Eggenberger distribution. This generalizes the corresponding result for the Quasi-Binomial damage model and the generalized Poisson distribution. Finally, some interesting identities are obtained using the independence property and the covariance formulas between the numbers N(A) and N(B). (Author).
In the present paper, certain random damage models are examined, such as the Generalized Markov-Polya and the Quasi-Binomial, in which an integer-valued random variable N is reduced to N(A).
A plasmatron electrode in the form of a hollow cylinder, on one surface of which travels the arc spot, the other of which is cooled, is examined. The spot is assumed to travel in a closed trajectory in one section of the electrode. (Author).
A plasmatron electrode in the form of a hollow cylinder, on one surface of which travels the arc spot, the other of which is cooled, is examined.
