The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a ...

Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a ...

Research in digital computers takes two paths: one uses the computer as a tool to reach certain objectives; on the other, the computer itself is the object of research. The NEBULA computer was built with the latter in ...

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A mathematical model simulating mass transport of chemicals in saturated porous medium is given in four parts. Included in the development is the physical phenomenon of adsorption of molecules of chemicals on the surr ...

This paper studies necessary and sufficient conditions for a matrix to be conjunctive with its adjoint. The problem is solved completely in the usual complex case, in which it is shown that a matrix is conjunctive to ...

This paper examines the probability that a random polynomial of specific degree over a field has a specific number of distinct roots in that field. Probabilities are found for random quadratic polynomials with respect to ...

In this paper, the general mathematical theory of linear passive one-ports and the class of positive real functions are briefly reviewed as background material. Then a time domain method for synthesis of a finite lump ...

The purpose of this study was to address the implementation fidelity of one part of a professional development model developed by the Northwest Regional Educational Laboratory (NWREL). Specifically, this research inves ...