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A Method To Give The Best Linear Combination Of Order Statistics To Estimate The Mean Of Any Symmetric Population, Robert M. Smith

Masters Theses

“This paper gives a distribution for the ratio of two non-independent normally distributed random variables. The random variables involved are jointly distributed as the bivariate normal with means zero and variance- covariance matrix V.

The sample mean and one-half the sum of the smallest and largest sample observations from the symmetrically truncated Cauchy density function are compared as estimates of the mean of this density function. The reason for this comparison is to determine which of these two estimators gives the best estimate of the mean.

A method to empirically determine the best linear combination of order statistics for any …

The Effects Of Granular Size On The Thermal Conductivity Of Fine Sand, Fikri Yalvac

Masters Theses

"The Thomas method (1) for determining the thermal conductivity of solid materials can be used for the determination of the thermal conductivity of granular materials. In this thesis this method has been used to determine the effect of the granular size of sand cn its thermal conductivity.

River sand was classified according to size by the Tyler Standard Screen Scale into 50-60, 50-80, 80-100, 100-200, and below 200 mesh size. These sands were used for the experiments. The clay was separated from these samples to obtain pure river sand for the experiments.

According to the International Critical Tables, the thermal …

The Reaction Of Ketosemicarbazones With Lead Tetraacetate, Thomas M. Davies

Masters Theses

Introduction

It has been demonstrated that lead tetraacetate will oxidize ketohydrazones to azoacetates in good yields (11).

R₂C=N-NH-R + Pb(OAc)₄ ------> R₂C(OAc)-N=N-R + Pb(OAc)₂ + HOAc

Since ketosemicarbazones are structurally equivalent to ketohydrazones, it was thought that the reaction of ketosemicarbazones with lead tetraacetate would proceed in a similar manner. Originally the object of this research was to prepare a series of new azo compounds related to semicarbazones by lead tetraacetate oxidation.

A Study Of Certain Aspects Of Creativity As Related To Artistic Behavior, Michael Eugene Reynolds

Masters Theses

No abstract provided.

A Comparison Of The High School Preparation Of 1956 Freshmen And 1962 Freshmen At Eastern Illinois University, Donn W. Hammer

Masters Theses

No abstract provided by author.

Problems Of Small High Schools With Some Special Reference To The Problems Of Curriculum, John F. Griffin

Masters Theses

No abstract provided by author.

The Power Mechanics Program In The Junior High Schools Of Illinois, Lee M. Sellers

Masters Theses

No abstract provided by author.

Distribution Of Sodium Perchlorate Between Tributyl Phosphate And Water, John A. Tengler

Masters Theses

"The questions posed by Carroll (23) concerning a TBP-H₂O system and an alkali salt -which is appreciably soluble in TBP have been partially answered by the experiments described in this thesis"--Conclusions, page 38.

A Study Of Rotational Critical Speeds For A Multi-Mass System By Influence Coefficients, Kantikumar G. Patel

Masters Theses

"In this investigation an attempt has been made to determine the critical speeds of a multi-mass rotational system by using influence coefficients. Modes of vibrations are also examined at these critical speeds.

A shaft carrying five masses, supported by bearings at the ends, has been studied analytically. The length of the bearings is considered small with respect to the shaft length and therefore, the configuration is assumed to be point supported as a simple beam. The five masses, each weighing one pound, were placed at equal distances of 10 inches on a 60 inch shaft. The critical speed was examined …

A Laboratory Model Study Of Fluid Cross Flow., James Gary Fore

Masters Theses

"A procedure for scaling and operating a laboratory model for the purpose of studying fluid crossflow between zones of different permeability is presented. A modified existing model is used to simulate conditions for three dimensional, incompressible, two-phase flow through a two-layer, unconsolidated, homogeneous porous medium.

Eight tests were made to show effects on crossflow between the zones. Qualitative results indicate crossflow from the high to the low permeability zone for various perforation ratios and mobility ratios"--Abstract, p. ii

Determination Of The Fast Flux Of U.M.R. Reactor, Dave Vibhakar Ratilal

Masters Theses

"Measurements of fast flux of University of Missouri at Rolla, Reactor have been made using: (n,p) reactions in Mg²⁷ and Ni⁵⁸ and (n,α) reactions in Al²⁷. The effective activation cross sections at respective threshold energies for various foils have been obtained from AERE and AECL reports and from literature published by various investigators. A RIDL 400 channel analyzer was used for counting"--Abstract, page 1.

A Numerical Study Of Van Der Pol's Nonlinear Differential Equation For Various Values Of The Parameter E., Charles C. Limbaugh

Masters Theses

"This paper briefly reviews the geometric concepts associated with nonlinear differential equations and then proceeds to a study of the homogeneous van der Pol equation. After studying the method of Kryloff and Bogoliuboff for small values of the parameter €, the author makes a numerical study of the equation using Hamrning's Method for the numerical solution. Several trajectories and the phase plane are shown for E = 0.1, 1.0, and 5.0. The author then studies one of the analytic theories, i.e., the method of Cartwright and Littlewood, and indicates some of the other analyses for large €"--Abstract, p. ii

Correlation Between Drying Times Of A Vinyl Copolymer Solution And Properties Of Dried Films., Abd El-Rahman M. Naser

Masters Theses

"One of the common methods used in film formation is the solvent evaporation method. As the evaporation starts the viscosity increases due to the inability of the solvent to keep the chains apart, which leads to a drag between molecules.

The rate of evaporation of the solvent (loss of solvent) cannot be equated with the rate of drying, since the latter depends on the results of the loss of solvents in terms of viscosity and plastic properties. The drying time can be defined as the rate at which a film increases its viscosity and thus changes the properties of a …

A Rubber Membrane Analogy For The Study Of Shafts In Torsion., Myron D. Bruns

Masters Theses

"The thesis presents a review of literature giving reference to several books which present the many and varied methods of determining the shearing stresses in shafts. However, no reference was found that used a rubber membrane analogy similar to that used in th is thesis. The theory of torsion, the membrane theory, and its analogy have been presented for a better understanding of the subject. Illustrations are used freely for clarity.

Analytical methods and solutions are given for two problems. The first method is that of writing a Saint-Venant stress function and satisfying the necessary conditions for it to be …

Stability Investigation Of Pipe-Line Suspension Bridges, Ten-Hsi Chen

Masters Theses

“This thesis presents an analysis of the behavior of pipe line suspension bridges under the action of wind. From this analysis a differential equation of vertical vibration is derived and solved, and the possible methods of preventing its vibration are discussed and suggested”--Abstract, page ii.

On Optimum Receiver Using Decision Theory, Philip T. Tai

Masters Theses

“In recent years communication engineers have given increased attention to the study of communication through random media. The name random is used to describe a medium the properties of which are stated only in a statistical sense. For example the impulsive response of a certain medium may only be known as one of an ensemble of possible impulsive responses; the particular member of interest being drawn up according to some statistical rule. In other words there exists some "uncertainty" concerning the characteristic description of the medium. Significant work on these problems has been done by Price and Turin. Related work …

An Analysis Of The Simulated Inductande Obtained From Forward Biased Semiconductor Diodes., Everett Harold Vannoy

Masters Theses

"The problem undertaken in this thesis is to study the simulated inductance observed in forward-biased abrupt junction p-n diodes with a highly doped p region and a nearly intrinsic n region and show that it is due to conductivity modulation. Unlike other analyses of this phenomenon, a voltage step is applied to the diode in such a direction as to forward bias it and the behavior of the injected minority carriers are observed. By comparing the resultant current through the diode to the relationship predicted by the equivalent circuit of the diode, an expression is obtained for the simulated inductance. …

Forced Convection Heat Transfer Coefficients And Induction Heating, Max Edwin Light

Masters Theses

“The purpose of this study was to design and build an apparatus to experimentally determine the convective heat transfer coefficients for water flowing in a horizontal tube at turbulent flow. Also it was planned to use the apparatus to investigate the spatial dependence of energy deposition by induction heating.

An instrument and measuring techniques were developed that gave reasonable correlations between experimentally determined heat transfer coefficients and values calculated from generally accepted heat transfer relationships developed by other experimenters. Most of the calculated values were within ± 10% of the experimental values for a wide range of flow rates.

It …

The Effects Of Granular Size On The Thermal Conductivity Of Sand, Kanubhai M. Patel

Masters Theses

"The thermal conductivity of granular materials can be determined by the Thomas method. This method was used here to determine the effects of granular size on the thermal conductivity of sand. A river sand was secured and screened. The sand retained between the Tyler Standard Screen Scale, mesh 10 and 14, 14 and 28, 28 and 40, 40 and 48, 48 and 60, and below mesh 60, was used for tests.

The thermal conductivity for the above six samples obtained by the author coincide fairly well with published data.

It is reported in the International Critical Tables that the thermal …

The Resolution Of Two Known Signals In White Gaussian Noise., Peter Cheng-Fang Wang

Masters Theses

"The problem of resolving two signals F1(t) and F2(t) in white Gaussian noise n(t) is treated here as a problem in statistical decision theory. We assume a situation in which one of two similar signals is present and an observer is asked to make a decision concerning which of the signals is present with a tolerable probability of error. The observer is allowed to use the best system which he can design for this particular purpose. Of course, this observation will be disturbed by noise and therefore, the observer is led to ambiguous selections. It is apparent that the optimum …

Optimum Zero-Memory Nonlinear Filter, Benjamin Shaw-Hu Wang

Masters Theses

“The purpose of this report is to review the basic work described by Zadeh insofar as systems of class N₁ are concerned and to apply his general results to a specific problem in which a non-linear filter is mandatory simply because the linear filter is essentially ineffective. The ineffectiveness stems from the fact that the autocorrelation function of the signal plus the noise has essentially the same variational character as the signal alone. Therefore, the transfer function of the linear filter turns out to be simply a constant. Thus, the output of the linear filter is just an attenuated …

Sonic Flow Meter., Daniel E. Wilson

Masters Theses

"The purpose of this thesis was to construct a device to measure the velocity of air employing sound waves. The principle of operation of the device is that the time interval required for the sound wave to travel between two points in the duct is a function of the fluid velocity. This time interval was measured both with the air flowing and with the air stationary. An equation was derived such that the mean velocity of the flowing air could be calculated by knowing the two-time intervals.

The mean velocity determined by this device was compared to the mean velocity …

Radiation Characteristics Of A U-Slot Antenna., Richard Paul Brueggemann

Masters Theses

"The radiation equations for a simple rectangular slot antenna are derived as a function of the field distribution in the slot. The electric field distribution in the slot is then formulated as a function of the aperture dimensions. The U-shaped slot antenna is described as an extension of the rectangular slot theory and the actual field is measured in the slot for comparison.

The far field equations a.re derived for the U-slot antenna similar to those for the rectangular slot antenna and are evaluated using the formulated distributions in the slot for antennas of two different electrical sizes. The equations …

Generalized Programs For Heat Transfer Analysis., Ceylung Chu

Masters Theses

"This report presents numerical methods for calculating temperature distributions in any physical system in which heat transfer is taking place. The syste.11 may be at either a steadystate condition or a transient condition. The temperature distribution may itself be or primary interest, or it may be used further to calculate the flow or heat or thermal stress.

The system under investigation is divided into a certain number of subdivisions, or so-called "regions". A reference point (node point) will be taken as representative for the region which includes that point. The temperature at the "node point11 is taken to be the …

The Characteristics Of Radial Strain Propagation Induced By Explosive Impact In Jefferson City Dolomite., Choon K. Quan

Masters Theses

"Blasting effects depend largely on peak radial strains propagated in rock media by explosive impact. To improve blasting design and control of secondary effects (e.g., structural fatigue), an equation for peak radial strain propagation induced by explosions was developed as follows: Emax = K e^-αr /r

An instrumental technique was designed to test the validity of the equation in the Jefferson City dolomite. Results showed ii that for 1-lb charges of 60% ammonia-gelatin explosive, peak strains, at any distance r, were reduced in amplitude in accordance with an exponential decay function of the type Emax = 281 e^{-0.026r …}

Studies Of An Electrical Method For Generating Ultrasonic Waves, Yung-Yien Huang

Masters Theses

“Ultrasonic waves have proved very valuable in the observation of both the velocity and the absorption coefficient of sound in various media. From the velocity measurements of ultrasonic waves in metals, it is possible to obtain elastic constants, such as the compressibility, and the specific heat. Also, the observed attenuation depends greatly on the type and structure of the material. One of the widely used methods for investigation of the internal losses in solid state physics is the pulse-echo technique. This method is being used almost exclusively in internal friction investigation"--Introduction, page 1.

Estimating Bench Design Parameters For Open-Cut Excavation, Rajni K. Gandhi

Masters Theses

"There are no direct relationships available that provide a basis for bench design of multiple-bench, open-cut earth excavations in competent materials when power shovels are employed. This study was undertaken to determine if mathematical design expressions could be developed when the production rate, material's properties, and equipment operating characteristics were known.

It was found that all bench dimensions were a function of the bench height, which in turn was controlled by the required rate of production. The investigation revealed that suitable relationships could be developed to guide in the control of bank stability, choice of shovel capacity, determination of the …

Estimation And Tabulation Of Bias Coefficients For Regression Analysis In Incompletely Specified Linear Models., Harry Kerry Edwards

Masters Theses

"There is often some uncertainty as to the exact number of predictors to include in the specification of the linear model when the theory of regression analysis is applied to specific data. To aid the experimenter in defining the correct number of predictors, a bias function that estimates the deviation of a linear model from the true model has been defined.

The writer has derived an accurate, economical, numerical method for calculating the bias function associated with an incompletely specified linear model and has tabulated bias function coefficients for a reasonable number of doubtful predictors"--Abstract, page ii.

A Parameter Perturbation Procedure For Obtaining A Solution To Systems Of Nonlinear Equations., James Carlton Helm

Masters Theses

"For simultaneous nonlinear equations the convergence of the known functional iterative procedures is dependent upon a good initial approximation to the desired roots. In this paper the restriction on the choice of the initial approximation has been circumvented by dividing each problem into a number of subsidiary problems in accordance with a parameter perturbation procedure. The study presents a discussion of the algorithm and the conditions for convergence. The discussion, also, includes the problems which were solved using the parameter perturbation procedure"--Abstract, p. ii

A Study On Estimating Parameters Restricted By Linear Inequalities, William Lawrence May

Masters Theses

“A comparison of two methods for estimating parameters restricted by linear inequalities in linear statistical models was made.

The first method consisted of finding the least squares estimates of the parameters disregarding the restrictions, and then forcing those parameters that were outside of their allowable ranges to the nearest endpoints of those ranges.

The second method made use of quadratic programming to minimize the same sum of squares that the first method minimized while keeping the parameters inside or at the endpoints of their allowable ranges.

The quadratic programming gave better estimates of the parameters in the sense that the …