Applied Mathematics Commons^™

Period Relations For Picard Integrals Defined On A Special Class Of Kaehler Manifolds., Joseph Clement Wilson

LSU Historical Dissertations and Theses

No abstract provided.

Estimates For The Zeros Of Ultraspherical Polynomials, Frank B. Correia

Mathematics & Statistics ETDs

In this work an attempt is made to develop a new method for estimating the zeros of the Ultraspherical Polynomials. This method presupposes knowledge of the differential equation that these polynomials satisfy. However the method is applicable to a much wider class of functions since it may also be applied to estimating the zeros of the solutions of any homogeneous linear differential equation of the second order which satisfies certain initial conditions.

A Necessary And Sufficient Condition That A Set Be Homeomorphic To A Plane Region Bounded By A Finite Number Of Nonintersecting Circles., Robert Lloyd Broussard

LSU Historical Dissertations and Theses

No abstract provided.

The Spieker Circle And Certain Related Configurations, Berthola Elmo Lumzy

Electronic Theses and Dissertations

This thesis, presented to the Department of Mathematics at Xavier University in partial fulfillment of requirements for the degree of Master of Arts in 1952, examines the Spieker circle, a circle inscribed in the median triangle of a given triangle, and extends its defining properties to related geometric configurations. Lumzy first establishes a series of analogies between the Spieker circle and the nine-point circle, demonstrating parallel relationships involving radius, center, harmonic conjugates, and homothetic centers relative to the incenter, median point, and Nagel point of a triangle.

The thesis then proves that the Spieker circle is inscribed in two congruent …

The Variation Problems Of Weierstrass-Bliss And Radon, Douglas M. Gragg

Mathematics & Statistics ETDs

Problems of the Calculus of Variations are generalizations of the familiar minimum problems treated in the differential calculus. The relationships between the ordinary minimum problems of the calculus and the generalizations dealt with in the Calculus of Variations is possibly best seen by examining the general Hilbert-Moore minimum problem, and the special examples of such problems formulated in the table below.

Inverse Problems Of Hamel-Type., Robert G. Schrandt

Mathematics & Statistics ETDs

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 already comprehensively treated in the literature, only enough of its theory is developed here to render intelligible to the reader the inverse problems studied in the sequel.

Moment-Generating Functions And Laplace Transforms, James F. Miller

Journal of the Arkansas Academy of Science

No abstract provided.

The Darboux Inverse Problem In The Calculus Of Variations, Frank O. Lane

Mathematics & Statistics ETDs

The simplest non-parametric problem of the calculus of variation, the so-called direct problem of the plane, is the problem of finding that arc C_o of a family of admissible arcs y=y (x) joining two fixed pointed (x₁ , y₁ ), (x_1, y₂) in the x,y-plane such that along the C_o the integral takes on a minimum value.

The Field Of Values Of A Matrix., John Cecil Currie

LSU Historical Dissertations and Theses

No abstract provided.

An Investigation Of The Meaning Of Α3 As A Measure Of Skewness, John W. Coy

Mathematics & Statistics ETDs

The purpose of this study is the interpretation of α₃ by means of a relatively simple formula which will predict the amount of shift in the effective limits of the Type III curve for a given change in the skewness. The methods used are chiefly empirical.

An Investigation Of The Nature Of The Coefficients Of Entire Function, Marie Ann Philips

Mathematics & Statistics ETDs

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.

A Study Of Certain Substitution Groups, Merle Mitchell

Mathematics & Statistics ETDs

This thesis purposes to study a certain group of movements which can be expressed as substitutions. The groups of movements which send a square into itself is to be studied as a group of eight substitutions on the vertices for the purpose of leading up to the real problem of this paper. From the octic group, it is natural to proceed to a study of the movements which send a cube into itself. In particular, it is the aim of this thesis to discover the group of the cube and to analyze some of its properties. There are twenty-eight rotations …

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 …

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.

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.

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. …

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.

Remedial Work On The Division Of Decimals, M. Thomasine Schwind

Bachelors’ Theses

The important element in remedial strategy is the reduction of the necessity for it. Prevent more, so as to have to cure less! In all learning and especially in the processes of arithmetic, our attack must be based upon a four-fold basis. Each is affected by the other three. Initial learning, maintenance, measurement and remedial work are the four components of efficiency. before remedial work can be carried out efficient testing must be done.

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.

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 …

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.

Graphical Representations Of Singular Solutions Of Differential Equations, Kathryn Lois Pitman

Bachelors’ Theses

The first men to detect singular solutions of differential equations were Leibniz, Brook Taylor and Clairaut. The direct method of attack used by each man in attaining these solutions is not known, but a short history of each man and what he has contributed to mathematics can be given. Gottfried Wilhelm von Leibniz (1646-1716) was born in Leipsic, Germany, and was the son of a professor of law in a nearby university. He was well-educated in law himself, expecting to follow in the profession of his father. But not being under the necessity of earning his living, he enrolled at …

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.

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.

Foundations Of Differential Geometry., Frank Atkinson Rickey

LSU Historical Dissertations and Theses

No abstract provided.

Ua12/2/1 College Heights Herald, Vol. X, No. 18, Wku Student Affairs

WKU Administration Documents

WKU campus newspaper reporting campus, athletic and Bowling Green, Kentucky news. Regular features include:

• Alumni News
• Chapel Calendar
• Class & Club
• Personals
• Society
• Trype

This issue contains articles:

• Hill Sponsors Local Vespers during Summer
• Astronomer Visits on Hill and Shows Novel Instruments – David Phillips
• Two in Glee Club Are Identified
• Article of Teacher Is Published – Margie Helm
• Hodge, Mary. Booklet Gives Details of Training School Work
• 823 Students Are Enrolled for This Term
• Board of Regents Convenes on Hill
• Article Appears – A.L. Crabb
• Bo McMillan Will Conduct School Here in August
• Nursery School Is Opened Here
• Geography …

Development Of Geometry And Its Assistance In Promoting Society, Nelson Jean

Electronic Theses and Dissertations

Geometry, the science of space and its relations which exist between its various elements, linear, superficial and solid, develops and helps society.

History Of Applied Geometry, Evelyn Jackson

Electronic Theses and Dissertations

No abstract provided.

The High School Algebra Situation From A College Standpoint, Dorris M. Stevens

Bachelors’ Theses

Mathematics as a high school and college course has been a much talked of subject in past years . For some time its opponents have exceeded its champions until it seems as though some explanation of the subject is necessary. For this reason this essay endeavors to make clear the object- methods and end in the study of mathematics , including especially high school Algebra and its effect on College Mathematics .

David Bolten Mathematics Exercise Book, 1812, David Bolten

Charles R. Roberts and Walter E. Boyer Collections

David Bolten of Montgomery County, Pennsylvania, created this handwritten arithmetic exercise book in March, 1812. It contains problems and solutions under the headings of compound addition, subtraction, multiplication and division. Applications, examples, cases and rules are included throughout the book. Examples include measurement of time, land and cloth as well as liquid and dry measurements. Also included is a section of problems on reduction, or the conversion of sums of money to other denominations.

The book was originally handed down to David A. Huber, the great-great-grandson of Bolten. David Bolten was married to Julia Schoener Bolten (1797-1881), buried in Niantic, …