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Would-Be Worlds
Mathematical Modeling and Computer Simulation
TLDR
This book discusses model building, linear programming problems and Duality, Sensitivity, and Uncertainty, and the process of Constructing Mathematical Models.
On Birth-Death Processes with Rational Growth Rates
Birth-death processes can be described by systems of differential equations together with certain probability conditions. Karlin and McGregor have shown that these systems of equations and the
ON CONSTRUCTING DISTRIBUTION FUNCTIONS; WITH APPLICATIONS TO LOMMEL POLYNOMIALS AND BESSEL FUNCTIONS
where the polynomials On(x) are recursively defined by: - 1(x) = 0, O(x) = 1, and (I-A) n+ (x) = (x - anX)-(x) - bnn- i(X) (n > 0). This study begins by showing how to obtain such a function +(x) for
K-interpolated sequences
We define k-interpolated sequences by a family of divide-and-conquer recurrence equations. These sequences are k-regular after a segment of initial values. A k-regular sequence is computed with an
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