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Articles 2011 - 2019 of 2019

Full-Text Articles in Mathematics

The Evolution Of The Concept Of Axiom, William Fred Jones May 1940

The Evolution Of The Concept Of Axiom, William Fred Jones

Mathematics & Statistics ETDs

The field of knowledge known as mathematics is composed of the totality of mathematical systems. A mathematical system consists of a body of propositions known as the axioms. The concern of this paper is with the axioms; in fact, with the change which has taken place during the centuries in the ideas of mathematicians about the axioms.

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Upon The Asymptotic Representation Of Entire Functions Where The General Coefficient Is The Product Of Two Gamma Functions, James R. Ellis May 1939

Upon The Asymptotic Representation Of Entire Functions Where The General Coefficient Is The Product Of Two Gamma Functions, James R. Ellis

Mathematics & Statistics ETDs

The essential purpose of this paper is to obtain further information in regard to the asymptotic representation of a power series.

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Some Applications Of The Principles Of Isomorphism And Variation To The Teaching Of Geometry, Ralph Mock Nov 1938

Some Applications Of The Principles Of Isomorphism And Variation To The Teaching Of Geometry, Ralph Mock

Mathematics & Statistics ETDs

In summary, it should be stressed that the numerous examples of this paper are important only in so much as they illustrate the use of the devices and concepts emphasized in the study. It is our premise that plane geometry, as usually taught, does not possess the value which it might have. Certain changes in content as well as in presentation would materially improve the course. This study, then, presents suggestions for improving the ordinary course in two directions. First, by presenting logical propositions from the students' experiences which are partially isomorphic to the theorems of plane geometry, it is …

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The Efficiency Of Approximation Formulae For Determining The Rate Of Interest In Amortization Schedules, Wade Ellis May 1938

The Efficiency Of Approximation Formulae For Determining The Rate Of Interest In Amortization Schedules, Wade Ellis

Mathematics & Statistics ETDs

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 of periods are known. By efficiency this meant the degree of accuracy obtainable, and the time required for solution.

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The Asymptotic Development Of A Special Type Of Power Series, David A. Lawson Jun 1937

The Asymptotic Development Of A Special Type Of Power Series, David A. Lawson

Mathematics & Statistics ETDs

It is the purpose of this study to consider certain aspects of the theorem due to Walter B. Ford, may be considered as a function g(w) of the complex variable w=x+iy and as such satisfies two conditions chosen by the author.

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Marital And Population Composition Of Sheboygan County January 1, 1925 To December 31, 1936, Rhudolph John Ploetz May 1936

Marital And Population Composition Of Sheboygan County January 1, 1925 To December 31, 1936, Rhudolph John Ploetz

Bachelors’ Theses

This is a compilation of the marriage and the population figures of Sheboygan County, in the state of Wisconsin. The author has made a survey of both the rural and urban areas. Including the county figures, are the state and federal statistics for an analysis and comparison on the problems relative to the subject. The table of contents giving the title and page of tables, is intended to be of great value to the reader, in that just a particular table wanted is designated and well-outlined. Regarding a lengthy explanation for each or any one of the tables is really …

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A Method Of Changing Certain Infinite Series To New But Equivalent Series, Moneta Gunilla Johnson Jan 1936

A Method Of Changing Certain Infinite Series To New But Equivalent Series, Moneta Gunilla Johnson

Mathematics & Statistics ETDs

The purpose of this investigation is to prove that the sum of a series of variable terms of a certain type is equal to a constant plus the sum of another series of variable terms. As a result of this proof it may be hoped that certain series, which so far have not been summed, may be shown equal to a constant plus another series for which the sum is known.

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Probability, The Historical Development Of The Theory And Its Application To Games Of Chance, Rose M. Brandt May 1931

Probability, The Historical Development Of The Theory And Its Application To Games Of Chance, Rose M. Brandt

Bachelors’ Theses

The theory of probability had its origin in isolated mathematical problems taken from games of chance. The beginnings of many of our modern theories and concepts can be traced back to Chinese origin. So too can the theory of probability. With the exception of the Chinese problem, dating from the beginning of the Christian era, no reference seems to have again been made to the theory prior to the latter part of the fifteenth century. In 1494 an Italian monk, Pacioli, was one of the first to introduce the "Problem of Points" into a treatise on mathematics. By the solution …

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History And Proof Of The Binomial Theorem, Ethel B. Ray Jun 1927

History And Proof Of The Binomial Theorem, Ethel B. Ray

Bachelors’ Theses

Everyone realizes what a wonderful place the world really is. Yet, we of this day little think of the many generations that have gone to make our universe as it is. We think we have done wonders. We pride ourselves on our modern way. There is a tendency in man to "pat himself on the back" and boast of how well he has done. Little do we realize that millions and millions of people have given their whole lives so that we might be as we are. Of course the soldier gives his life for his country; but what of …

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