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Articles 26671 - 26700 of 27380
Full-Text Articles in Physical Sciences and Mathematics
Development Of Geometry And Its Assistance In Promoting Society, Nelson Jean
Development Of Geometry And Its Assistance In Promoting Society, Nelson Jean
Electronic Thesis and Dissertation
Geometry, the science of space and its relations which exist between its various elements, linear, superficial and solid, develops and helps society.
Development Of Geometry And Its Assistance In Promoting Society, Nelson Jean
Development Of Geometry And Its Assistance In Promoting Society, Nelson Jean
Electronic Thesis and Dissertation
No abstract provided.
Thomas William Robertson, The Mid-Victorian Dramatist, James A. Fitzpatrick
Thomas William Robertson, The Mid-Victorian Dramatist, James A. Fitzpatrick
Bachelors’ Theses
It is the purpose of this thesis to determine the position of Thomas William Robertson in the dramatic history of the nineteenth century, and to discover what contributions, if any, he made to the drama of this period. In addition to making a careful analysis of Robertson's more important dramas, I have read all the outstanding dramatic histories of the middle of the last century and some of its popular dramatic works. In my investigation of this problem I have explained the dramatic conditions of the early and mid-nineteenth century, revealed the characteristic tendencies of its popular plays, set forth …
The Problem Of The Trisection Of The Angle, Ruth O'Brien
The Problem Of The Trisection Of The Angle, Ruth O'Brien
Bachelors’ Theses
The great problem of the trisection of the angle dates back to the rise of the Sophist School about 480 B.C. The Sophist School was one of six Greek mathematical schools which included the Iconic, Pythagorean, Platonic, First Alexandrian and Second Alexandrian Schools. The periods of their existence overlapped considerably. thus, for example, Pythagorean activity continued during the time of the Sophists until the opening of the Platonic School. The rise of the Sophists to prominence came as a result of certain social and political conditions of the time.
Hyperbolic Functions, Dolores Fitzgerald
The Practical Evaluation Of Resultants, T. A. Pierce
The Practical Evaluation Of Resultants, T. A. Pierce
Department of Mathematics: Faculty Publications
The purpose of the present note is to give a practical method of evaluating the resultant of two equations. The method is particularly effective when the degree of one of the equations is high while that of the other is low. Use will be made of certain results in the theory of matrices.
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia
Electronic Thesis and Dissertation
Mathematics is the most ancient of the sciences, yet it is not surpassed by any in modernity, bu is flourishing to-day at a rate unsurpassed and unapparelled by means of the Calculus. Mathematics is like to a wheel, which has influenced mechanism... Who invented this wheel, is not known but its influence is unconsciously felt by you and me, and the whole world about us in a greater or lesser degree.
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Mary Virgiia
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Mary Virgiia
Electronic Thesis and Dissertation
No abstract provided.
The Fundamental Theorem Of Algebra, John D. Fitzpatrick
The Fundamental Theorem Of Algebra, John D. Fitzpatrick
Bachelors’ Theses
Algebra is indeed an interesting and intriguing field of knowledge. Many people fear and dread it, and yet what do they fear? Is not algebra a logical sequence of simple facts based perhaps on a few self-evident truths? If people saw the value of algebra, they would strive more enthusiastically to understand its principles. John Locke has a fitting commentary on those who are unfamiliar with algebra.
Oval Curves, Leona G. Harner
Oval Curves, Leona G. Harner
Bachelors’ Theses
It has been the aim of the writer to present in this thesis a discussion of the most commonly known oval curves and their chief properties.
Continued Fractions, Alma Holmgren
Continued Fractions, Alma Holmgren
Bachelors’ Theses
The aim of this thesis is to give the reader a general idea of the two types of continued fractions -- the simple continued fractions and the general continued fractions. Some properties of each type are also included.
Remedial Work In Subtraction, Multiplication And Division, Margaret A. Fleming
Remedial Work In Subtraction, Multiplication And Division, Margaret A. Fleming
Bachelors’ Theses
The subject matter of this thesis is Remedial Work in Subtraction, Multiplication and Division of Whole Numbers. A class or 39 pupils, 15 girls and 24 boys were given the Compass Diagnostic Tests in Arithmetic in each or these three fundamentals.
Probability, The Historical Development Of The Theory And Its Application To Games Of Chance, Rose M. Brandt
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 …
On The Trigonometric Expansion Of Elliptic Functions, M. A. Basoco
On The Trigonometric Expansion Of Elliptic Functions, M. A. Basoco
Department of Mathematics: Faculty Publications
The problem of expressing an elliptic function in terms of infinite sums of trigonometric functions has been treated by Hermite, Briot and Bouquet, A. C. Dixon and others. In the present paper we treat the same problem from the point of view of Cauchy's residue theorem in function theory, which is also Briot and Bouquet's starting point, but we differ from these authors in that the integrand we use leads to an expansion for an elliptic function which is valid in an arbitrarily wide, but finite, strip of the complex plane, and which contains certain classical results as special cases. …
Parametric Solutions Of Certain Diophantine Equations, T. A. Pierce
Parametric Solutions Of Certain Diophantine Equations, T. A. Pierce
Department of Mathematics: Faculty Publications
In this note parametric solutions of certain diophantine equations are given. The method of obtaining the solutions is derived from an equation involving the determinants of certain matrices. It will be recognized that the method is a generalization of the method of Euler and Lagrange which depends on forms which repeat under multiplication. The matrices used in this paper must be such that their forms are retained under matric multiplication and addition. When integer values are assigned to the parameters of our solutions we obtain integer solutions of the particular equation under consideration; however not all integer solutions are necessarily …
A Certain Multiple-Parameter Expansion, H. P. Doole
A Certain Multiple-Parameter Expansion, H. P. Doole
Department of Mathematics: Faculty Publications
C. C. Camp has shown the convergence of the expansion of an arbitrary function in terms of the solutions of the systems of equations
X1’ (λa1 - Σi=2nμi)X1 = 0,
X1’ (λai + μi)Xi = 0, (j = 2, 3, …, n),
where the ai’s are functions of x, with the boundary conditions
Xi(-π) = Xi(π), (j = 1, 2, …, n).
In this paper it is intended to use a …
The Spinning Top, Aaron Jefferson Miles
The Spinning Top, Aaron Jefferson Miles
Masters Theses
"Several mathematicians have solved the problems of motion of the top and gyroscope most completely, but none of them have considered in their solutions the effects of the supporting gimbal rings upon the motion or the effects of a variable rotor speed. It is the purpose of this paper to investigate the top equations by two well known methods; namely, by the method of Lagrange and by the method of Jacobi; considering in both the dynamics of the gimbal rings and varying rotor speed"--Introduction, page 3.
The Construction Of Conic Sections By Means Of Pascal's And Brianchon's Theorems, Benjamin Lee Welker Jr.
The Construction Of Conic Sections By Means Of Pascal's And Brianchon's Theorems, Benjamin Lee Welker Jr.
University of the Pacific Theses and Dissertations
The discovery of conic sections was made by Menaechmus (375-325 B.C.) an associate of Plato and a pupil of Eudoxus. This discovery, in the course of only a century, raised geometry to the loftiest height which it was destined to reach during antiquity.
A Determination Of The Solubility Curves Of Several Liquid Ternary Systems And The Effect Of Change Of Temperature On These Curves, Samuel Klieger
A Determination Of The Solubility Curves Of Several Liquid Ternary Systems And The Effect Of Change Of Temperature On These Curves, Samuel Klieger
Bachelors’ Theses
The following paper treats of the solubility relations found in ternary systems. The components of the system are, the lower alcohols, Benzene or toluene and water. The work consists of a determination of the solubility curve of the three components in various proportions. The influence of temperature on the solubility is so studied.
On Polynomial Solutions Of A Class Of Linear Differential Equations Of The Second Order, W. C. Brenke
On Polynomial Solutions Of A Class Of Linear Differential Equations Of The Second Order, W. C. Brenke
Department of Mathematics: Faculty Publications
Certain well known polynomials have a number of common properties. They arise as coefficients of tn in the expansion of a generating function ; they may be obtained by means of orthogonalization of a set of functions xⁿg(x) when the function ρ(x) = g2(x) and the interval are properly chosen ; they may be regarded as polynomials which become orthogonal when multiplied by a proper factor g(x) ; they satisfy a certain type of difference equation ; they satisfy a certain type of differential equation. The results …
Matrices Whose Characteristic Equations Are Cyclic, T. A. Pierce
Matrices Whose Characteristic Equations Are Cyclic, T. A. Pierce
Department of Mathematics: Faculty Publications
One of Sylvester's theorems f on matrices states that if the characteristic equation
(1) | M - λI| = f(λ) = 0
of a square matrix M has the roots λ1, λ2, … , λn, then the characteristic equation
(2) | φM - ρI| = = g(ρ) = 0
of any integral function of M, namely, φM, has the roots ρi = φ (λi), i = 1, 2, … , n. In this note an isomorphism is shown to exist between …
History Of Applied Geometry, Evelyn Jackson
History Of Applied Geometry, Evelyn Jackson
Electronic Thesis and Dissertation
Mathematics: Just what does the word mean to us? After a moment of thought many different meanings may present themselves to our minds. At first we are inclined to say that the word mathematics covers a vast field. We are justified in so thinking because mathematics embraces a wide scope of study. Were we to say that it is a science we should place it in its proper genius, for it is truly a science of numbers and space. However, could not the science be the art of calculation or the art of computation?
The Utility Of Mathematics, Jack R. Dunn
The Utility Of Mathematics, Jack R. Dunn
Electronic Thesis and Dissertation
No abstract provided.
History Of Applied Geometry, Evelyn Jackson
History Of Applied Geometry, Evelyn Jackson
Electronic Thesis and Dissertation
No abstract provided.
A Syllabus Of Line Geometry, Alice Willmarth
A Syllabus Of Line Geometry, Alice Willmarth
University of the Pacific Theses and Dissertations
In the study of advanced geometry, we shall deal with a certain important relation between pairs of figures in space, and also between their properties. There are two distinct parts to analytic geometry, the analytic work and the geometric interpretation. Two systems of geometry, depending upon different elements with the same number of coordinates, will have the same analytic expressions and will differ only in the interpretation of the analysis. In such a case it is often sufficient to know the meaning of the coordination and the interpretation of a few fundamental relations in each system in order to find …
The Cycloid, Some Related Curves And Their Derivation, Ann Downer
The Cycloid, Some Related Curves And Their Derivation, Ann Downer
Bachelors’ Theses
In studying the history of the cycloid and the related curves, it is interesting to note that the earliest notations and explanations were given not by a mathematician but by an artist. The description and instrumental construction of the epicycloid curve was presented in about 1525 by Albrecht Durer (1471-1528) a celebrated sculptor and painter of Nurnberg in his book "Underweysund der Messung mit dem Zyrkenund Rychtsceyd." The original idea, however, goes as far back as the time of Hipparchus, an astronomer, who used it in his astronomical theory of epicycles. This curve was now neglected until G. Desargues and …
Curve Tracing In Polar Coordinates, Virginia Higgins
Curve Tracing In Polar Coordinates, Virginia Higgins
Bachelors’ Theses
No abstract provided.
Quadratic Equations, Floyd George Hydar
Quadratic Equations, Floyd George Hydar
Bachelors’ Theses
In algebra, an equality which exists only for particular values of certain letters representing the unknown quantities is called an equation. These particular values are called the roots of the equation, and the determination of these roots is known as the solution of the equation.
The Cubic Equation In One Variable, Ella M. Horst
The Cubic Equation In One Variable, Ella M. Horst
Bachelors’ Theses
No abstract provided.
Modern Geometry Of The Triangle, Irene Nolan
Modern Geometry Of The Triangle, Irene Nolan
Bachelors’ Theses
It has been the object of t he writer to present in this thesis theorems and proofs of modern geometry which seemed most useful and most interesting to her. Concepts of modern geometry have been presented and developed with reference to the triangle.