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Articles 7951 - 7980 of 7987
Full-Text Articles in Physical Sciences and Mathematics
A Numerical Treatment Of One-Dimensional Non-Steady Compressible Flows, Paul J. Kazek
A Numerical Treatment Of One-Dimensional Non-Steady Compressible Flows, Paul J. Kazek
Mathematics & Statistics ETDs
The problem that will be considered here will be the flow in a cylinder filled with a homogeneous ideal gas, bounded on one end by a vacuum and/or a rigid wall with the motion initiated by a piston on the other end. First, the basic Lagrangian differential equations will be derived along with other necessary thermodynamical relations. A scheme of difference equations will be presented and the viscosity term discussed as well as a method for insuring stability of the difference equations during the calculations
A Statistical Technique For Predicting A Two Dimensional Vector With Application, Richard E. Vogel
A Statistical Technique For Predicting A Two Dimensional Vector With Application, Richard E. Vogel
Mathematics & Statistics ETDs
The problem of multiple regression analysis where the dependent and independent variables are components of a two dimensional vector is discussed, and a complete statistical development of the solution of estimators for the parameters in the model given. The theory regarding predictions and confidence statements about such predictions is also developed. A computer code was written for the IBM 704 computer which solves the above problem and a description of the code appears in the appendix.
The statistical model was applied to a meteorological problem in wind forecasting at the Eniwetok Proving Ground, and prediction equations were developed and evaluated.
Facts And Figures For The Man On The Land, J A. Mallett
Facts And Figures For The Man On The Land, J A. Mallett
Journal of the Department of Agriculture, Western Australia, Series 4
FARM or station life calls for the exercise of so many different skills that the farmer or pastoralist is usually an accomplished handyman.
For those whose schooldays are far behind them however, the most difficult part of many tasks is that of dealing with the calculations involved, and it is hoped that these facts and figures will serve as a handy aid to those whose mathematical ability has not kept pace with their manual and technical skill.
Studies On The Sampling Methodology Of Peas For Yield And Quality, Pratapsinha Chintamani Pendse
Studies On The Sampling Methodology Of Peas For Yield And Quality, Pratapsinha Chintamani Pendse
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Pea1 growers have much at stake in getting high yields of peas of prime quality. The income accruing from a pea crop grown for processors is determined by the yield as well as quality. Therefore the farmers' efforts are directed toward growing such a crop.
Research workers are interested in knowing the yield of peas with known tenderometer values which will indicate the quality of peas. Present methods of field harvesting are costly and time consuming which tend to limit the number of varieties that can be satisfactorily evaluated for trial.
A comparison of sampling techniques with present harvesting …
Beta And Gamma Distributions, Calvin Rogers
Beta And Gamma Distributions, Calvin Rogers
Mathematics & Statistics ETDs
The purpose of this paper is to exhibit the main properties of Gamma and Beta distributions and show their relation to certain well known distributions.
In chapter II the Gamma and Beta distributions are defined in terms of Gamma and Beta functions. The moments of these distributions are calculated, and the moment generating function and cumulant generating function for the Gamma distribution are obtained. The curves are classified with respect to parameter values and the curves are graphically illustrated in Figures 1, 2, and 3. The exponential distribution, as a special case of interest, is shown to be a Gamma …
The Use Of Kamke's Transformation In Approximating The Zeros Of Orthogonal Polynomials, Robert L. Daniels
The Use Of Kamke's Transformation In Approximating The Zeros Of Orthogonal Polynomials, Robert L. Daniels
Mathematics & Statistics ETDs
The importance of the classical orthogonal polynomials has long been acknowledged. It has not been possible, however, to represent them in such a way that all of their important properties are immediately evident. In particular, the location of the zeros of these polynomials is of considerable interest.
This thesis is primarily concerned with a different technique in which Kamke's transformation is applied to the differential equations frequently used to define these polynomials. The resulting trigonometric differential equations cannot be explicitly solved either, but certain characteristics of these solutions facilitate the derivation of approximations to the zeroes of the solutions.
The Numerical Treatment Of A Simple Hydrodynamical Shock By The Von Neumann-Richtmyer Method, Charles F. Sprague Iii
The Numerical Treatment Of A Simple Hydrodynamical Shock By The Von Neumann-Richtmyer Method, Charles F. Sprague Iii
Mathematics & Statistics ETDs
When the differential equations describing the flow of compressible fluids are derived under the assumptions that (1) forces in the fluid are due only to variations in pressure and (2) that the entropy of any volume element remains constant, it can be shown mathematically that these differential equations cannot have continuous solutions under all circumstances. If we adopt the notion of “shock discontinuities” in these solutions, the differential equations describing the flow in continuous regions together with conditions expressing the laws of conservation across the discontinuities suffice to completely determine the flow. An alternative procedure is to use a method, …
Estimates Of Error In Numerical Integration, Dorothy M. Hoover
Estimates Of Error In Numerical Integration, Dorothy M. Hoover
Journal of the Arkansas Academy of Science
No abstract provided.
Algebraic Relations For Property-Composition Curves Of Binary Mixtures, Louis Frank
Algebraic Relations For Property-Composition Curves Of Binary Mixtures, Louis Frank
Journal of the Arkansas Academy of Science
No abstract provided.
Period Relations For Picard Integrals Defined On A Special Class Of Kaehler Manifolds., Joseph Clement Wilson
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
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.
The Spieker Circle And Certain Related Configurations, Berthola Elmo Lumzy
The Spieker Circle And Certain Related Configurations, Berthola Elmo Lumzy
Electronic Thesis and Dissertation
It was the purpose of the present study 1) to present the major known theorems concerning the Spieker circle; 2) to show the remarkable analogy between the Spieker circle and the nine point circle; and 3) to extend theorems of the Spieker circle and the definition of the Spierker circle to related configuration that are located outside the given triangle.
The Spieker Circle And Certain Related Configurations, Berthola E. Lumzy
The Spieker Circle And Certain Related Configurations, Berthola E. Lumzy
Electronic Thesis and Dissertation
No abstract provided.
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
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 Variation Problems Of Weierstrass-Bliss And Radon, Douglas M. Gragg
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
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
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
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 Co of a family of admissible arcs y=y (x) joining two fixed pointed (x1 , y1 ), (x1, y2) in the x,y-plane such that along the Co the integral takes on a minimum value.
The Field Of Values Of A Matrix., John Cecil Currie
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
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
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
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
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
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.
The Evolution Of The Concept Of Axiom, William Fred Jones
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.
New Formulae For The Determination Of The Yield Of A Bond, Marvin Roberts
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. …
Upon The Asymptotic Representation Of Certain Entire Functions In Distant Portions Of The Plane, Abraham Franck
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.
Upon The Asymptotic Representation Of Entire Functions Where The General Coefficient Is The Product Of Two Gamma Functions, James R. Ellis
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
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
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.