When the differential equations describing the flow of compressible fluids are derived under the assumptions that (1) forces in the fluid are due only to variations in pressure and (2) that the entropy of any volume element remains constant, it can b...

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The formulation and discussion of the simplest (fixed) end point direct problem of the calculus of Variation is a necessary preliminary to attack on the inverse problems considered in Chapters II and III of this thesis. Since the plane problem is alr...

The problem of this study is to determine the relative efficiency of the more important formulae for approximating the rate of interest involved in an amortization plan when the amount of the debt, the amount of the periodic payment, and the number o...

The purpose of this paper is to exhibit the main properties of Gamma and Beta distributions and show their relation to certain well known distributions. In chapter II the Gamma and Beta distributions are defined in terms of Gamma and Beta functions. ...

A written contract to pay a certain amount of money on a specified redemption date, and to pay equal periodical dividends, is called a bond from a mathematical standpoint. The principal mentioned in the contract is its face value, or par value. The a...

The purpose of this study is to investigate the nature of the coefficients of certain power series. In particular, it is desired to know what characteristics the coefficients must possess in order that the series shall represent an entire function.

In the best days of its past Silver City was never so good as now; never so prosperous, optimistic, filled with the spirit of growing and building. Parenthetically, if anything we write about Silver City or any place else seems so glowing that you in...

Many real-world problems involving dynamics of solid or fluid bodies can be modeled by hyperbolic partial differential equations (PDEs). Up to this point, only solutions to selected PDEs are available. Many PDEs are physically or geometrically comple...

In this dissertation, we study Taylor approximations of functions of operators with Hilbert-Schmidt resolvents. We obtain integral representations for traces of the respective Taylor remainders that are analogous to trace formulas obtained in the cas...

It is the purpose of this thesis to examine the publications of leading physical and social science societies 1946 through 1956 with a view to finding out the degree of importance that they attach to the world's present rate of population growth. As ...