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Articles 13231 - 13243 of 13243

Full-Text Articles in Physical Sciences and Mathematics

Studies Arising From A Problem In The Calculus Of Variations, John Gonzalez Jun 1941

Studies Arising From A Problem In The Calculus Of Variations, John Gonzalez

Mathematics & Statistics ETDs

In mathematics, generalization is progress; so much so that oftentimes one loses sight of the fact that generalization is the result of arduous work in the consideration of the particular. In no other branch of mathematics is this better exemplified than in the Calculus of Variations. The beginning of a systematic development of the theory of the Calculus of Variations really started with the two Bernoulli brothers (1654-1748) in their discussion of the brachistochrone problem in 1696. The method devised by them were sufficiently powerful in the attack of a large number of problems. Euler (1707-85) further elaborated the geometrical …

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Interpolation For The Median In A Frequency Distribution, Paul Cox Sep 1940

Interpolation For The Median In A Frequency Distribution, Paul Cox

Mathematics & Statistics ETDs

It is the purpose of this study to discuss completely the median of a frequency distribution: first, by showing clearly what a median is; second, by showing the present and possible future applications for the median in the field of mathematical statistics; third, by taking all methods for interpolating for the median which have been advocated in the literature, or which may not have been advocated to date but appear plausible, and discuss these methods as to the way they are used, the plausibility of their use, and the accuracy obtained by their use.

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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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New Formulae For The Determination Of The Yield Of A Bond, Marvin Roberts May 1940

New Formulae For The Determination Of The Yield Of A Bond, Marvin Roberts

Mathematics & Statistics ETDs

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 amount redeemed, or the redemption value, is denoted by C, the dividends by D, and the principal by F. A bond is redeemed at a par if C and F are the same, and at a premium if C is greater than F. The divided rate, or bond rate, is the interest rate named in the bond. …

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Upon The Asymptotic Representation Of Certain Entire Functions In Distant Portions Of The Plane, Abraham Franck May 1940

Upon The Asymptotic Representation Of Certain Entire Functions In Distant Portions Of The Plane, Abraham Franck

Mathematics & Statistics ETDs

The purpose of this paper is to study two particular entire functions which satisfy the conditions set up in a theorem due to Newsom. It is to be hoped that this report may be preliminary to the invention of a method which will lend itself toward the solution of certain general problems.

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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 Relation Of Statistics To The Design Of Educational And Psychological Investigations, Palmer O. Johnson Apr 1938

The Relation Of Statistics To The Design Of Educational And Psychological Investigations, Palmer O. Johnson

Journal of the Minnesota Academy of Science

No abstract provided.

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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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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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Studies Concerning The Elimination Of Experimental Error In Comparative Crop Tests, T. A. Kiesselbach Jun 1918

Studies Concerning The Elimination Of Experimental Error In Comparative Crop Tests, T. A. Kiesselbach

Nebraska Agricultural Experiment Station: Historical Research Bulletins

It is apparent that many sources of error have unconsciously entered into comparative crop yield tests. The very important matter of overcoming variation in soil conditions as a source of experimental error has been quite extensively studied and reported by various investigators during the past decade. The means suggested for reducing such error have been (1) repetition of plats and (2) correction of yields according to check plats planted to a uniform variety or treatment at stated intervals. Both methods have proved of value and a combination of both may often be used advantageously. Some danger always exists of error …

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