Physical Sciences and Mathematics Commons^™

A Sensitivity Analysis Of The Coefficients For The Transformation Of The Electrocardiographic Orthogonal Three-Lead System (Frank) To The Standard Twelve-Lead System, Rasa Ona Draugelis

Loma Linda University Electronic Theses, Dissertations & Projects

The SENSITIVITY ANALYSIS is performed on the transformation coefficients of the Frank XYZ signals generating standard 12-lead ECG with respect to diagnosis. The analysis is adapted for the individual waveform and per each lead. The disease/abnormality categories are described in terms of discrete pattern classes based on criteria used by Marquette Electronics, Inc. The nonlinear global sensitivity analysis method developed by Shuler, et al, is selected for this project. The diagnostic change in the waveform is denoted by a distance measurement from the pattern class boundary corresponding to the best-experimental coefficient estimates (Dower coefficients) to the alternate coefficient specification measurement …

Certain Generalisations Of Acceptance Sampling Plans By Attributes., R. J. Pandey Dr.

Doctoral Theses

The use of inspection gained importance when people started getting conscious of maintaining the quality of manufactured product. According to Anscombe (1958) inspection for quality in the form of acceptance sampling plans originated around 1920. The classical work of Dodge and Romig (1929) put acceptance sampling on a firm footing. In general, sampling inspection can be broadly classified into (i) lot- by-lot inspection (11) bulk sampling inspection and (iii) "continuous; sampling inspection.The lot-by-lot sampling inspection is applied where a series of lots or batches of discrete items are available for inspection. On the other hand, a batch of cotton, a …

Minimal Norm Constrained Interpolation, Larry Dean Irvine

Mathematics & Statistics Theses & Dissertations

In computational fluid dynamics and in CAD/CAM a physical boundary, usually known only discreetly (say, from a set of measurements), must often be approximated. An acceptable approximation must, of course, preserve the salient features of the data (convexity, concavity, etc.) In this dissertation we compute a smooth interpolant which is locally convex where the data are locally convex and is locally concave where the data are locally concave.

Such an interpolant is found by posing and solving a minimization problem. The solution is a piecewise cubic polynomial. We actually solve this problem indirectly by using the Peano kernel theorem to …

Algebraic Grid Generation Using Tensor Product B-Splines, Bonita Valerie Saunders

Mathematics & Statistics Theses & Dissertations

In general, finite difference methods are more successful if the accompanying grid has lines which are smooth and nearly orthogonal. This thesis discusses the development of an algorithm which produces such a grid when given the boundary description.

Topological considerations in structuring the grid generation mapping are discussed. In particular, this thesis examines the concept of the degree of a mapping and how it can be used to determine what requirements are necessary if a mapping is to produce a suitable grid.

The grid generation algorithm uses a mapping composed of bicubic B-splines. Boundary coefficients are chosen so that the …

Brownian Motion Applied To Partial Differential Equations, Steven M. Mckay

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This work is a study of the relationship between Brownian motion and elementary, linear partial differential equations. In the text, I have shown that Brownian motion is a Markov process, and that Brownian motion itself, and certain Stochastic processes involving Brownian motion are also martingales. In particular, Dynkin's formula for Brownian motion was shown. Using Dynkin's formula and Brownian motion, I then constructed solutions for the classical Dirichlet problem and the heat equation, given by Δu=0 and u_t= 1/2Δu+g, respectively. I have shown that the bounded solution is unique if Brownian motion will always exit the domain of …

The Reconstruction Conjecture In Graph Theory, Susan M. Loveland

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In this paper we show that specific classes of graphs are reconstructible; we explore the relationship between the reconstruction and edge-reconstruction conjectures; we prove that several classes of graphs are actually Harary to the reconstructible; and we give counterexamples reconstruction and edge-reconstruction conjectures for infinite graphs.

Some Spectral Properties Of Three And Four Body Scrodinger Operators By The Methods Of Time Dependent Scattering Theory., M. Krishna Dr.

Doctoral Theses

In the present work we shall deal with the asymptotic completeness problem in three and four (Quantum Mechanical) particle scattering. This thesis is divided into three chapters. In the first chapter we give an introduction to Scattering Phencmenon and give a description of the N-particle completeness problem.Then we collect some results preliminary to the later chapters and some results that would complete a discussion of the problem.The second chapter consists of some technical results and a reduction of the asymptotic completeness problem in N-particlerscattering via time dependent methods. The last chapter has two sections. The first section deals with verifying …

Some Studies In Analysis And Recognition Of 2 Dimensional Shapes., Swapan Kumar Parui Dr.

Doctoral Theses

Analysis and recognition of 2-dimensional shapes constitute an important problem in the fields of Pattern Recognition, Image Analysis, Computer Vision, Robotics and other related areas of research. If we look at the problem from the point of view of image or scene analysis, in a sense, the antire subject of automatic scene analysis might be defined as the problem of describing and recognizing the shape of the ob jects in an image. Shape is the primal intrinsic property for the vision system because we associate the definitions of objects with shape, rather than with colour or reflectivity, for example.According to …

Statistical Models For Consumer Behaviour In India., Amita Majumder Dr.

Doctoral Theses

The present dissertation is about analysis of consumer behaviour ba sed on time-serios consumption data in the framework of a static complete demand system with special reference to India.On the methodological side, the the proposes two station demand systems. One of them is based on a modification of the Simple Non-additivo Model (SNAM) of Deaton (1976) - a generalisation of Stone's Linear Expenditure System (LES) - that overcomes the limitations of the LES ariaing from the additivity of its underfying direct preference structure. The other system is based on the Frice Independent Generalized Linearity (FIGL) of Maellbaucr (1975). Both the …

A Political Economy Study Of An Indigeneous Irrigation System., Nirmal Sengupta Dr.

Doctoral Theses

The present thesis is the study of a specifio indigenoous irrigation eystem following the general method of politioal coonomy. A couple of yeara baok when I had written for the firet time ubout this little-known but widespread irr igation aystem the artiole had driwn ocnaiderublo attention. The prosent study is a much detailed expooition of the sama syetem. The age old eystem of irrigaticn howover, 1e not mere ly a matter of historionl interest. It alao raisos many different quastione regarding developmant strategy and planning. I have devolop. the study so aia to be able finally, to deal with suoh …

Economic Genuine Link: Impacts On Liberian Flag Shipping, Victor E. Dougba

Theses and Major Papers

Phasing out of open registries, supported by most developing nations at the United Nations Conference on Trade and Development (UNCTAD), would have triggered a chain reaction among open registries, ship owners, seafarers, and the revenues earned by those supplying shipboard labor. Adherence to the criteria proposed by developing states concerning economic "genuine link" is unsatisfactory to ship owners of developed nations, since it would increase their operating costs. Additionally, if the concept was enforced, it is likely that open registries would have experienced a massive dis-enrollment. The application of three techniques, the Chi-Square Statistic, and Index of Seafarer Displacement, and …

Multiple Shooting, Monique St-Maurice

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The purpose of this report was to study the Multiple Shooting method, a numerical method to solve boundary value ordinary differential equation. A FORTRAN program was written to solve the specific problem.

y'' = -y, y(0) = 0, y(π/2) = 1

on a microcomputer, using the microsoft FORTRAN compiler and the 8087 coprocessor.

Monte Carlo Simulation Of The Game Of Twenty-One, Douglas E. Loer

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The purpose of this paper is to demonstrate the application of computer simulation to the game of Twenty-One to predict a player's expected return from the game. Twenty-One has traditionally been one of the most popular casino games and has attracted much effort to accurately estimate the house's true advantage. Probability theory has been tried, but the thousands of different combinations of cards possible in all hands throughout the entire pack make it practically impossible to apply probability theory without overlooking some possibilities. For this reason, Twenty-One is a perfect candidate for simulation. By blocking several simulations, normal theory can …

Comparison Of Bootstrap And Jacknife Statistical Procedures, Amanuel Gobena

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

This report compares the bootstrapping to jacknifing statistical procedures in terms in bias, confidence interval and estimation of median. Related literature have been reviewed. A bootstrap allows a researcher to get an approximation to the distribution of possibly complicated statistical summaries. It is based on random sampling with replacement from experimental units. Jacknife has also been in operation prior to bootstrapping statistical procedure. The jacknife divides the data into subgroups and obtains partial estimates of these subgroups by omitting one subgroup at a time. When both of these statistical resampling procedures are compared the bootstrap has less bias, more accurate …