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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

A Remedial Program In The Four Fundamental Operations In Decimal Fractions, Hallie Ruth Weber Jul 1939

A Remedial Program In The Four Fundamental Operations In Decimal Fractions, Hallie Ruth Weber

Master's Theses

Can the results of the teaching of the four fundamental operations in arithmetic be improved? This is an important question that confronts most teachers of arithmetic. How can the teacher eliminate the difficulties which interfere with pupil progress, and reduce the number of failures in arithmetic? A group diagnostic test will show not only the level of ability of pupils in the various operations, but will point out weaknesses so that the teacher may organize her work in such a way as to give time to those who are below the standard and omit deadening drill for those who are …


Variation Of Moments With Distributions Of Masses And Areas, Mayo Glenwood Shults Jul 1939

Variation Of Moments With Distributions Of Masses And Areas, Mayo Glenwood Shults

Master's Theses

The purpose of this investigation has been to determine the variations of the first, second, third and fourth moments as functions of distributions of masses and areas. These moments were found about a line or plane perpendicular to the horizontal axes of the figures, and at various distances along the axes. For a complete understanding of the problem, an explanation of various terms will be made in relation to mechanics statistics.


The Segregation Of Real Roots Of Lower Orders, Ross W. Bland May 1939

The Segregation Of Real Roots Of Lower Orders, Ross W. Bland

Master's Theses

The purpose of this thesis is the presentation of the better algebraic methods of the segregation of real roots of equations of lower orders and a brief historical sketch of the advance made in the development of algebra. Mention is also made of a few of the men who have made notable contributions to this field of mathematics and the time, as nearly as it is possible to determine it, when new ideas were discovered.


Linearity In Factor Analysis, Opal Emmons May 1939

Linearity In Factor Analysis, Opal Emmons

Master's Theses

The uniqueness of mathematics in that it is a science complete in itself makes it possible to apply mathematical tools to sciences which, in themselves vary widely in content. There is, however, a particular difficulty which must be surmounted. A given mathematical procedure may be valid in the science of mathematics but invalid in another science, such as psychology. The reason for this is that sometimes there is a discrepancy between the implicit assumptions in the field of mathematics and those implicit in the field of application. The purpose of this investigation is twofold: (1) To point out that linearity …


Asymptotic Series, Bernard Martin Apr 1939

Asymptotic Series, Bernard Martin

Master's Theses

The purpose of this thesis is to follow the development of the asymptotic series from the beginning made by Euler, in his solution of problems, to the modern applications of asymptotic series, also to present a definition and an analysis of asymptotic series, explain some different theories of their use, and show the ways in which they find common usage. The use of asymptotic series is a comparative new development in the field of applied mathematics. The divergent series were not used as a method of calculation until Euler showed that they gave close approximations in the solution of problems. …