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Articles 1771 - 1800 of 1810
Full-Text Articles in Mathematics
Analysis Of Heat Transfer In A Two-Layer Circular Cylinder:Constant Flux On Outer Surface And Zero Flux On Inner Surface, Mary Elena Franklin
Analysis Of Heat Transfer In A Two-Layer Circular Cylinder:Constant Flux On Outer Surface And Zero Flux On Inner Surface, Mary Elena Franklin
Mathematics & Statistics ETDs
The one-dimensional time-dependent equation of heat conduction is solved analytically for an infinite two-layer circular cylinder whose core may be either hollow or solid. On the outer surface of the cylinder, which has no heat loss due to convection, a constant heat flux from an external source of heating is applied uniformly. The layers are in perfect thermal contact, and there is no heat loss at their interface. At the smaller radius of the inner layer is a perfect insulator so that the heat flux on the inner surface of the two-layer cylinder is zero. The temperature is uniform initially …
A Combinational Analysis Of Finite Minimal Uniform Covers, Gustavus J. Simmons
A Combinational Analysis Of Finite Minimal Uniform Covers, Gustavus J. Simmons
Mathematics & Statistics ETDs
No abstract provided.
Semi-Groups And A Class Of Singular Perturbation Problems, Andrew Y. Schoene
Semi-Groups And A Class Of Singular Perturbation Problems, Andrew Y. Schoene
Mathematics & Statistics ETDs
No abstract provided.
Bayesian Inference For Decision Making, Ming-Yih Kao
Bayesian Inference For Decision Making, Ming-Yih Kao
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
In recent years, Bayesian inference has become very popular in applied statistics. This study will present the fundamental concept of Bayesian inference and the basic techniques of application to statistical quality control, marketing research, and other related fields.
Stochastic Processes Model And Its Application In Operations Research, Chun Yuan Hsu
Stochastic Processes Model And Its Application In Operations Research, Chun Yuan Hsu
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Just as the probability theory is regarded as the study of mathematical models of random phenomena, the theory of stochastic processes plays an important role in the investigation of random phenomena depending on time. A random phenomenon that arises through a process which is developing in time and controlled by some probability law is called a stochastic process. Thus, stochastic processes can be referred to as the dynamic part of the probability theory. We will now give a formal definition of a stochastic process.
Let T be a set which is called the index set (thought of as time), then, …
Computer Programs For Incomplete Block Designs, Fred Miller
Computer Programs For Incomplete Block Designs, Fred Miller
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
In most disciplines where research is involved, there exists an occasional problem of having minimal facilities and/or funds for conducting experiments. This often necessitates the use of designs known as incomplete block designs.
Since the calculations needed to provide an appropriate statistical analysis are somewhat tedious, particularJ..y in the larger designs, it is advantageous to have computer programs to do the necessary calculations.
There are several computer programs at Utah State University written in Fortran II language with Forcom subroutines that perform the analyses for incomplete block designs. These programs, for the most part, were authored by Justus Seely and …
A Study Of The Exponential Distirbutions And Their Applications, Michael Chang-Yu Wang
A Study Of The Exponential Distirbutions And Their Applications, Michael Chang-Yu Wang
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The exponential distribution is a widely known distribution i n statistical theory. It can be regarded as the continuous analogue of the Poisson distribution, discussed by S. D. Poisson in 1837. The Poisson is a limiting form of the Binomial distribution which can be t race d back as early as 1700, discussed by James Bernoulli. A paper by Marsden and Barratt (1911) on the radioactive disintegration of thorium gives a typical frequency distribution which follows the exponential law (8, p. 89). The exponential distribution has achieved importance recently in connection with the theory of stochastic process and has found …
Analysis Of Contingency Tables, James Joseph Biundo
Analysis Of Contingency Tables, James Joseph Biundo
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Two methods of analyzing multi-dimensional frequency data are detailed.
The Second Order Exponential (SOE) model is applicable for dichotomous classifications. The distribution has two sets of parameters, ϴi's and ϴj's. The ϴi's are interpreted as the log of the odds of the marginal probabilities if no two factor relationships exist. Or if all ϴij are not zero, then the ϴi's are analogous to a main effect in a 2m factorial analysis, (m = number of factors or classifications). The ϴif's may be interpreted as a measure and direction …
Generation Of Random Numbers, Keith H. Eberhard
Generation Of Random Numbers, Keith H. Eberhard
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Subroutines are written to generate random numbers on the computer. Depending on the subroutine used, the generated random numbers follow the uniform, binomial, normal, chi-square, t, F, or gamma distribution. Each subroutine is tested using the chi-square goodness of fit test to verify that the random numbers generated by each subroutine follow the statistical distribution for which it is written. The interpretation of the test results indicates that each subroutine generates random numbers which closely approximates the theoretical distribution for which it is designed.
The approach used in the subroutine which generates gamma distributed random numbers involves the use of …
On Semigroups Of Functions On Topological Spaces, Troy L. Hicks, A. G. (Glen) Haddock
On Semigroups Of Functions On Topological Spaces, Troy L. Hicks, A. G. (Glen) Haddock
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
Computer Analysis Of Consumer Attitude And Consumption Data For Fluid Milk Products, James Reed Fisher
Computer Analysis Of Consumer Attitude And Consumption Data For Fluid Milk Products, James Reed Fisher
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The American public, with a per capita disposable income currently at an all time high, has become a source of vital concern to dairy market researchers. The unique socio-economic structure of the present generation causes the dairy industry to be concerned with how the consumer view its products. Effective education and advertising programs must be developed to attract the taste and meet the demands of the consumer.
Two factors which greatly influence market research and advertising programs are the attitude of the consumer toward a given product and the relationship of attitude to the degree of actual milk consumption. To …
Rings Of Continuous Functions On Open Convex Subsets Of R, Lyle E. Pursell
Rings Of Continuous Functions On Open Convex Subsets Of R, Lyle E. Pursell
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
An Examination Of The Romberg Method For Numerical Integration, Water James Halpin
An Examination Of The Romberg Method For Numerical Integration, Water James Halpin
Mathematics & Statistics ETDs
INTRODUCTION
This paper will amount to an inquiry into the mathematical structure and properties of a matrix of approximate integration formulas due to Werner Romberg 1 which have found considerable favor in numerical analysis during the past decade. Like other devices for approximate integration the Romberg method has its origin in the exhaustion techniques developed by the Greeks for determining the areas of figures enclosed by lines in the plane. It is particularly closely associated with the scheme employed by Archimedes2 (circa 250 B.C.) for approximating the value of [3.14]. This involves a doubling process which is essentially the basis …
The Approximation Of Eigenvalues And Eigenfunctions Of Convolution Kernels, Adelbert Lee Roark
The Approximation Of Eigenvalues And Eigenfunctions Of Convolution Kernels, Adelbert Lee Roark
Mathematics & Statistics ETDs
No abstract provided.
Completion And Compactification Functors For Cauchy Spaces, James Francis Ramaley
Completion And Compactification Functors For Cauchy Spaces, James Francis Ramaley
Mathematics & Statistics ETDs
The subject of this thesis is topological but the approach is categorical. We consider the approach as important as the subject itself and so we try to indicate whenever we have a categorically defined concept. In fact, we are led by this approach to make definitions and constructions so that certain relationships are categorical in nature. Our coreflective completion functor of Chapter IV is one example of this approach.
We wish here to give a brief outline of the historical development of convergence theory and how category theory has come to play a role in this development...
Tolerance Regions For A Joint Exponential Distribution, Lee J. Bain
Tolerance Regions For A Joint Exponential Distribution, Lee J. Bain
Mathematics and Statistics Faculty Research & Creative Works
The evaluation of the reliability of a system of components, when the components are assumed to follow a joint exponential distribution, is considered. The approach used is to develop tolerance regions for the joint exponential distribution or to estimate the probability content of the appropriate specification region. Copyright © 1968 by The Institute of Electrical and Electronics Engineers, Inc.
Handlos And Baron Model: Short Contact Times, J. Patel, Robert M. Wellek
Handlos And Baron Model: Short Contact Times, J. Patel, Robert M. Wellek
Chemical and Biochemical Engineering Faculty Research & Creative Works
No abstract provided.
Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench
Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench
William F. Trench
No abstract provided.
A Survey Of The Applications Of Difference Equations, Roberta Lanice Harkey
A Survey Of The Applications Of Difference Equations, Roberta Lanice Harkey
Mathematics & Statistics ETDs
In asserting that people in other fields often tend to be afraid to use mathematics, F.K. Mechta, an economist, expressed an uncertainty which contributes to the hesitancy to use mathematics. “Mathematics is tricky, it maintains silence, does its work quietly; and when we do not understand its ways and misinterpret its message, it just smiles. It never loses its temper, never laughs; we can observe a suppressed smile on its lips. Such is mathematics.” It is the purpose of this paper to conduct a brief survey of the applications of difference equations. The use of these equations is often rather …
Simulation Of Mathematical Models In Genetic Analysis, Dinesh Govindal Patel
Simulation Of Mathematical Models In Genetic Analysis, Dinesh Govindal Patel
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
In recent years a new field of statistics has become of importance in many branches of experimental science. This is the Monte Carlo Method, so called because it is based on simulation of stochastic processes. By stochastic process, it is meant some possible physical process in the real world that has some random or stochastic element in its structure. This is the subject which may appropriately be called the dynamic part of statistics or the statistics of "change," in contrast with the static statistical problems which have so far been the more systematically studied. Many obvious examples of such processes …
Some Information - Theoretical And Empirical Techniques In Statistical Inference, Chaitanya Swarup
Some Information - Theoretical And Empirical Techniques In Statistical Inference, Chaitanya Swarup
Mathematics & Statistics ETDs
This study is divided into two seemingly disjoint parts -- one containing EMPIRICAL (Bayesian and Non-Bayesian) approach and the second containing INFORMATION-THEORETICAL techniques in problems of statistical estimation and tests of hypotheses. But in the end, both approaches have been brought together for solving ENCODING problems of COMMUNICATION THEORY to unify the whole dissertation.
Some Properties Of Certain Sets Of Coprime Integers, Roger C. Entringer
Some Properties Of Certain Sets Of Coprime Integers, Roger C. Entringer
Mathematics & Statistics ETDs
The set P(n) of all primes equal to or less than n has the obvious property that it contains exactly one multiple of each prime equal to or less than n. We use this partial description of P(n) as a basis for the following
Definition 1.1. An increasing sequence {a1,...,ak} of integers greater than 1 is a coprime chain if it contains exactly one multiple of each prime equal to or less than ak.
Convergence Functions And Their Related Topologies, Darrell C. Kent
Convergence Functions And Their Related Topologies, Darrell C. Kent
Mathematics & Statistics ETDs
A convergence function is a correspondence between the filters on a given set S and the subsets of S which specifies which filters converge to which points of S. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on S. Thus a convergence function may be regarded as a generalization of a topology.
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.
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 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.
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.
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.