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Articles 451 - 478 of 478
Full-Text Articles in Mathematics
Hyperbolic Functions, Dolores Fitzgerald
The Theory Of Exponents, Olive Marie Lass
The Theory Of Exponents, Olive Marie Lass
Bachelors’ Theses
When one speaks of Algebra, with its laws and operations, one asks the question - Is it an ancient subject, and how old is it? In answer to this question I find it is necessary to go back to the years before Christ.
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.
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 …
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.
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.
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.
Symmetric Functions, Mildred L. Roth
Symmetric Functions, Mildred L. Roth
Bachelors’ Theses
If function of two or more quantities is not altered when any two of the quantities are interchanged, it is called a symmetric function. For example, the trinomial a2+ b2+ c2 is a symmetric function of a, b, c, because if any two quantities, say a and b are interchanged, the expression is unaltered in value.
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 …
The Study Of The Curves Of The Equations Having The Type Form X^N + Y^N = A^N, Lena S. Reif
The Study Of The Curves Of The Equations Having The Type Form X^N + Y^N = A^N, Lena S. Reif
Bachelors’ Theses
The object of this thesis is to determine the general properties of the family of curves, x^n + y^n = a^n from some of the specific curves in that family. The first curve to be considered is the one in which a = 4 and n =1. x+y = 4
Curve Tracing In Polar Coordinates, Virginia Higgins
Curve Tracing In Polar Coordinates, Virginia Higgins
Bachelors’ Theses
No abstract provided.
The Cubic Equation In One Variable, Ella M. Horst
The Cubic Equation In One Variable, Ella M. Horst
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.
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.
Periodic Functions, W. Kenneth Koehler
Periodic Functions, W. Kenneth Koehler
Bachelors’ Theses
The first known publications on the periodic functions were those of Fantet de Lagnv, a French mathematician born at Lyons in the year 1660. Although previous to this, mathematicians, notably Galilio in his analysis of the cycloid, had studied functions and curves whose properties necessarily involved periodic functions, no specific mention of this property was made.
Mathematical Induction, Lucille A. Mccann
Graphical Calculation And Computation, Alice Hudson Vallier
Graphical Calculation And Computation, Alice Hudson Vallier
Bachelors’ Theses
The word ’’graph” has lately become a part of the active vocabulary of the ordinarily educated person of today. We may say lately because even fifty years ago the use of the graph to represent data was limited to the knowledge of a few theorizing mathematicians and the miscellaneous disorganized usage of some practical mechanics, engineers, business men and statisticians. The situation is not that fifty years ago the rudiments of graphing were not identical with the bases of graphing data today, at least by such simple methods as are commonly employed in periodicals and newspapers for the enlightenment of …
The Theory Of Limits, Molly E. Davis
The Theory Of Limits, Molly E. Davis
Bachelors’ Theses
The theory of limits is among the most important theories in mathematics as mensuration of curves, and surfaces, the treatment of series and the foundation of calculus rest upon this theory.
The Study Of The Curves Of Equations Having The Type Form Of Y=XN, Frank Kohn
The Study Of The Curves Of Equations Having The Type Form Of Y=XN, Frank Kohn
Bachelors’ Theses
The purpose of this thesis is to investigate those properties of curves having the general type form of y = xn that will enable us to determine the graph of a particular curve of this type. The investigations will not only determine the graph as it appears in the finite region of the curve but its appearance in infinite regions as well.
Applications Of Infinite Products, Lillian Schnell
Applications Of Infinite Products, Lillian Schnell
Bachelors’ Theses
Jacob Nicolaus Bernoulli (1654-1705) wrote a work on "Ars Conjectandi." It was published eight years after his death. The work consists of four parts. The second part is on permutations and combinations, which Bernoulli used in a proof of the binomial theorem for the case of positive integral exponents. The book contains a formula for the sum of the rth powers of the first n integers. This involves the famous Bernouillian numbers. Bernouilli boasted that by means of his formula he could calculate "Intra semi-quadrantem Horae" the sum of the 10th power: the first thousand integers.
Irrational Numbers, Paul O. Smith
Irrational Numbers, Paul O. Smith
Bachelors’ Theses
By an irrational number is meant a number which cannot be expressed by an Integer or by a fraction. The definition in itself is rather vague and to many would not mean very much but by a definite geometric example the idea of just what an irrational number is can be much more clearly shown. Suppose we are given a line of a definite length of two inches. It can easily be seen how this line can be divided into a great number of smaller parts which can be expressed by integers and fractions.
History And Proof Of The Binomial Theorem, Ethel B. Ray
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 …
Methods Of Tracing Curves, Stephen Lewandowski
Methods Of Tracing Curves, Stephen Lewandowski
Bachelors’ Theses
There are two kinds of equations, algebraic equations and transcendental equations. An algebraic equation is one that involves a finite number of ordinary operations of algebra i.e. addition, multiplication, subtraction, division, extraction of roots, and raising to powers denoted by constant exponents.
Hyperbolic Functions, Margaret S. Johnston
Hyperbolic Functions, Margaret S. Johnston
Bachelors’ Theses
A Study of hyperbolic functions is both interesting and fruitful because of their important and historical relation to the more elementary branches of Mathematics: Trigonometry, Analytical Geometry and Differential and Integral Calculus. Historically the development of hyperbolic functions has been closely associated with the development of the properties of the circle, ellipse, and hyperbola; the earliest knowledge of the functions rising out of a comparative study of these curves, and resting on more analogy rather than clear definition and proof.
Indeterminate Coefficients, Armond William Bear
Indeterminate Coefficients, Armond William Bear
Bachelors’ Theses
No abstract provided.
Summable Types Of Series, Dorothea Maria Baumann
Summable Types Of Series, Dorothea Maria Baumann
Bachelors’ Theses
By an infinite series we mean a polynomial, or a sequence of terms, each of which derives from its predecessor according to a fixed formula or process; there is a one to one correspondence, consequently between the terms of the series and the set of positive integers 1,2,----,n,----. Summation means the finding of a finite expression equivalent numerically to the given series; known functions only may occur, connected by a fixed number of steps; such a closed expression is called the "sum" of the series.
Graphic Methods For Solving Algebraic Equations, L. Tremaine Dunlap
Graphic Methods For Solving Algebraic Equations, L. Tremaine Dunlap
Bachelors’ Theses
No abstract provided.