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Articles 1 - 30 of 36
Full-Text Articles in Physical Sciences and Mathematics
Improving Networks Reliability, Jamal H. Nouh
Graph Products And Covering Graph Imbeddings, Ghidewon Abay Asmerom
Graph Products And Covering Graph Imbeddings, Ghidewon Abay Asmerom
Dissertations
No abstract provided.
Sets Of Typical Subsamples, Joel Atkins, G.J Sherman
Sets Of Typical Subsamples, Joel Atkins, G.J Sherman
Mathematical Sciences Technical Reports (MSTR)
A group theoretic condition on a set of subsamples of a random sample from a continuous random variable symmetric about 0 is shown to be sufficient to provide typical values for 0.
Berry-Esseen-Type Bounds For Signed Linear Rank Statistics With A Broad Range Of Scores, Munsup Seoh
Berry-Esseen-Type Bounds For Signed Linear Rank Statistics With A Broad Range Of Scores, Munsup Seoh
Mathematics and Statistics Faculty Publications
The Berry-Esseen-type bounds of order N−1/2 for the rate of convergence to normality are derived for the signed linear rank statistics under the hypothesis of symmetry. The results are obtained with a broad range of regression constants and scores (allowed to be generated by discontinuous score generating functions, but not necessarily) restricted by only mild conditions, while almost all previous results are obtained with continuously differentiable score generating functions. Furthermore, the proof is very short and elementary, based on the conditioning argument.
Resqme And Stand-Alone Simulation On A Workstation, Robert F. Gordon Ph.D., Paul G. Loewner, G J. Burkland, J-C Chen, Edward A. Macnair
Resqme And Stand-Alone Simulation On A Workstation, Robert F. Gordon Ph.D., Paul G. Loewner, G J. Burkland, J-C Chen, Edward A. Macnair
Faculty Works: MCS (1984-2023)
RC 16037 (#71232)
The Research Queueing Package Modeling Environment (RESQME) provides a graphical environment for constructing and solving extended queueing network models ofmanufacturing systems, for plotting graphs of results and for viewdng animations of models. The modeling environment can be run entirely on a workstation or optionally can execute large simulations on a host system using cooperative processing. In this paper we give a brief introduction to RESQME and to the RESQ modeling elements. We demonstrate how to use the package by constructing a simple model of part of a manufacturing line and solve this model to produce charts of …
Rewriteable Sequencings Of Groups, Jeanne Nielsen
Rewriteable Sequencings Of Groups, Jeanne Nielsen
Mathematical Sciences Technical Reports (MSTR)
A finite group is called Pn-sequenceable if its nonidentity elements can be listed x1 , x2 , ..., xk so that the product x i x i+i · · · x i+n-1 can be rewritten in at least one nontrivial way for all i. It is shown that Sn , An , Dn are P3-sequenceable, that every finite simple group is P4 -sequenceable, and that every finite group is Ps-sequenceable. It is conjectured that every finite group is P3-sequenceable.
Enumerating The Orientable 2-Cell Imbeddings Of Complete N-Partite Graphs, Bruce P. Mull
Enumerating The Orientable 2-Cell Imbeddings Of Complete N-Partite Graphs, Bruce P. Mull
Dissertations
This dissertation develops formulas for the number of congruence classes of maps of complete, complete bi-partite, complete tripartite, and complete n-partite graphs; these congruence classes correspond to unlabeled imbeddings. The method employed for the enumeration is an extension of that used by Mull, Rieper, and White in 1988. We let the automorphism group act on the set of rotations and use Burnside's Lemma to count orbits for these rotations. Compatible permutations are introduced to determine those automorphisms actually contributing to the number of orbits.
The complete n-partite formula is shown to generalize those of the other three families of graphs. …
On Distance In Graphs And Digraphs, Songlin Tian
On Distance In Graphs And Digraphs, Songlin Tian
Dissertations
One of the most basic concepts associated with a graph is distance. In this dissertation some new definitions of distance in graphs and digraphs are introduced. One principle goal is to extend certain known results involving the standard distance function on graphs to the field of digraphs with an appropriate concept of distance. Several parameters as well as subgraphs and subdigraphs defined in terms of distance are investigated.
Chapter I gives a brief overview of the history of distance and generalized distance in graphs. By presenting a listing of major results in this area, it provides a background for the …
The Enumeration Of Graph Imbeddings, Robert G. Rieper
The Enumeration Of Graph Imbeddings, Robert G. Rieper
Dissertations
Graphs can be drawn on surfaces. Here, graphs may have multiple edges or loops (pseudographs), the surfaces are closed orientable 2-manifolds (sphere, torus, etc.) and their generalizations (pseudosurfaces and generalized pseudosurfaces), and the drawings are 2-cell imbeddings. For quite some time it has been known that a connected graph has $\rm \Pi(degree(\upsilon)-1)$! 2-cell imbeddings on surfaces. More detailed information about these imbeddings has been wanting. In addition, many of the imbeddings counted above 'look the same' when all vertex and edge labels are removed. The resulting unlabeled imbeddings are fewer in number and more difficult to enumerate than their labeled …
A Mathematical Model Of The Dynamics Of An Optically Pumped Codoped Solid State Laser System, Thomas G. Wangler
A Mathematical Model Of The Dynamics Of An Optically Pumped Codoped Solid State Laser System, Thomas G. Wangler
Mathematics & Statistics Theses & Dissertations
This is a study of a mathematical model for the dynamics of an optically pumped codoped solid state laser system. The model comprises five first order, nonlinear, coupled, ordinary differential equations which describe the temporal evolution of the dopant electron populations in the laser crystal as well as the photon density in the laser cavity. The analysis of the model is conducted in three parts.
First, a detailed explanation of the modeling process is given and the full set of rate equations is obtained. The model is then simplified and certain qualitative properties of the solution are obtained.
In the …
The Fokker-Planck And Related Equations In Theoretical Population Dynamics, George Derise
The Fokker-Planck And Related Equations In Theoretical Population Dynamics, George Derise
Mathematics & Statistics Theses & Dissertations
The population growth of a single species is modeled by a differential equation with initial condition(s) so that the number of organisms in the population is derived using some mechanism of growth, i.e. a growth rate function. However, such deterministic models are often highly unrealistic in population dynamics because population growth is basically a random event. There are a large number of chance factors influencing growth that might not be taken into account by deterministic models. The effect of other species (for example, in the chance meeting of a predator), population fluctuations due to weather changes that would alter food …
Velofel Reviews 2019: Male Enhancement Pills Working !, Mason James
Velofel Reviews 2019: Male Enhancement Pills Working !, Mason James
Mason James
Https://Walgreensdiet.Com/Spring-Hall-Health-Keto/, Delimiso Row
Https://Walgreensdiet.Com/Spring-Hall-Health-Keto/, Delimiso Row
Spring Hall Health Keto
Bimodules Over Cartan Subalgebras, Richard Mercer
Bimodules Over Cartan Subalgebras, Richard Mercer
Mathematics and Statistics Faculty Publications
Given a Cartan subalgebra A of a non Neumann algebra M, the techniques of Feldman and Moore are used to analyze the partial isometries v in M such that v* Av is contained in A. Orthonormal bases for M consisting of such partial isometries are discussed, and convergence of the resulting generalized fourier series is shown to take place in the Bures A-topology. The Bures A-topology is shown to be equivalent to the strong topology on the unit ball of M. These ideas are applied to A-bimodules and to give a simplified and intuitive proof of the Spectral Theorem …
On The Equivalence Of The Operator Equations Xa + Bx = C And X - P(-B)Xp(A)(-1) = W In A Hilbert-Space, P A Polynomial, Tapas Mazumdar, David Miller
On The Equivalence Of The Operator Equations Xa + Bx = C And X - P(-B)Xp(A)(-1) = W In A Hilbert-Space, P A Polynomial, Tapas Mazumdar, David Miller
Mathematics and Statistics Faculty Publications
We consider the solution of (*) XA+BX = C for bounded operators A,B,C and X on a Hilbert space, A normal. We establish the existence of a polynomial p and a bounded operator W with the property that the unique solution X of (*) also solves X − p(−B)Xp(A)−1 = W uniquely. A known iterative algorithm can be applied to the latter equation to solve (*).
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Mathematics & Statistics Faculty Publications
The system of equations proposed by Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.
The Truncated Cauchy Distribution: Estimation Of Parameters And Application To Stock Returns, Paul G. Staneski
The Truncated Cauchy Distribution: Estimation Of Parameters And Application To Stock Returns, Paul G. Staneski
Mathematics & Statistics Theses & Dissertations
The problem addressed in this dissertation is the existence and estimation of the parameters of a truncated Cauchy distribution. It is known that when a number of distributions with infinite support are truncated to a finite interval that the maximum likelihood estimator of the scale parameter fails to exist with positive probability. In particular, necessary and sufficient conditions which give rise to instances of non-existence have been found for the exponential (Deemer and Votaw (1955)), gamma (Broeder (1955), Hegde and Dahiya (1989)), Weibull (Mittal and Dahiya (1989)) and normal distribution (Barndorff-Nielsen (1978), Mittal and Dahiya (1987), Hegde and Dahiya (1989)). …
Boundary Value Problems In Elasticity And Thermoelasticity, Stuart Davidson
Boundary Value Problems In Elasticity And Thermoelasticity, Stuart Davidson
Mathematics & Statistics Theses & Dissertations
In this dissertation the author solves a series of mixed boundary value problems arising from crack problems in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or dual series relations are required. These in turn reduce to various singular integral equations which are solved in closed form, in two cases, or by numerical methods. The stress intensity factors at the crack tips, the physical parameters of …
Graphs, Maneuvers, And Turnpikes, Arthur T. Benjamin
Graphs, Maneuvers, And Turnpikes, Arthur T. Benjamin
All HMC Faculty Publications and Research
We address the problem of moving a collection of objects from one subset of Zm to another at minimum cost. We show that underfairly natural rules for movement assumptions, if the origin and destination are far enough apart, then a near optimal solution with special structure exists: Our trajectory from the originto the destination accrues almost all of its cost repeatingat most m different patterns of movement. Directions for related research are identified.
More Information About Cbdistillery Oil !, Mason James
More Information About Cbdistillery Oil !, Mason James
Mason James
Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He
Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He
Scholarship
No abstract provided.
On The Optimal Reward Function Of The Continuous Time Multiarmed Bandit Problem, José Luis Menaldi, Maurice Robin
On The Optimal Reward Function Of The Continuous Time Multiarmed Bandit Problem, José Luis Menaldi, Maurice Robin
Mathematics Faculty Research Publications
The optimal reward function associated with the so-called "multiarmed bandit problem" for general Markov-Feller processes is considered. It is shown that this optimal reward function has a simple expression (product form) in terms of individual stopping problems, without any smoothness properties of the optimal reward function neither for the global problem nor for the individual stopping problems. Some results relative to a related problem with switching cost are obtained.
Remarks On Estimates For The Green Function, Jose Luis Menaldi
Remarks On Estimates For The Green Function, Jose Luis Menaldi
Mathematics Faculty Research Publications
No abstract provided.
Coincidence Orientations Of Crystals In Tetragonal Systems, With Applications To Yba2cu3o7, Abha Singh, N. Chandrasekhar, Alexander H. King
Coincidence Orientations Of Crystals In Tetragonal Systems, With Applications To Yba2cu3o7, Abha Singh, N. Chandrasekhar, Alexander H. King
Alexander H. King
We have developed a method for the characterization of coincidence-site lattices (CSL's) in tetragonal or near-tetragonal orthorhombic structures, by suitable modifications to the method of Grimmer & Warrington [Acta Cryst. (1987), A43, 232-243]. We have applied our method to determine coincidence rotations and the associated information appropriate for forming constrained CSL's in the high-To superconductor YBazCu307-n. The unit cell is orthorhombic with lattice parameters a = 3.82, b = 3"89 and c = 11.67 A for the nominal composition. We present tables of coincidence rotation angles, .Z, CSL, DSCL and associated step vectors up to ,~ = 50. We find …
Asymptotic Optimality Of Experimental Designs In Estimating A Product Of Means, Kamel Rekab
Asymptotic Optimality Of Experimental Designs In Estimating A Product Of Means, Kamel Rekab
Mathematics and System Engineering Faculty Publications
In nonlinear estimation problems with linear models, one difficulty in obtaining optimal designs is their dependence on the true value of the unknown parameters. A Bayesian approach is adopted with the assumption the means are independent apriori and have conjuguate prior distributions. The problem of designing an exper- iment to estimate the product of the means of two normal populations is considered. The main results determine an asymptotic lower bound for the Bayes risk, and a necessary and sufficient condition for any sequential procedure to achieve the bound.
Existence And Uniqueness Of Solutions Of Nonlocal Problems For Hyperbolic Equation Uxt=F(X, T, U, Ux), L. Byszewski
Existence And Uniqueness Of Solutions Of Nonlocal Problems For Hyperbolic Equation Uxt=F(X, T, U, Ux), L. Byszewski
Mathematics and System Engineering Faculty Publications
The aim of the paper is to give two theorems about existence and uniqueness of continuous solutions for hyperbolic nonlinear differential problems with nonlocal conditions in bounded and unbounded domains. The results obtained in this paper can be applied in the theory of elasticity with better effect than analogous known results with classical initial conditions.
Strong Maximum Principles For Parabolic Nonlinear Problems With Nonlocal Inequalities Together With Integrals, Ludwik Byszewski
Strong Maximum Principles For Parabolic Nonlinear Problems With Nonlocal Inequalities Together With Integrals, Ludwik Byszewski
Mathematics and System Engineering Faculty Publications
In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals. The results obtained in this paper can be applied in the theories of diffusion and heat conduction, since considered here integrals in nonlocal inequalities can be interpreted as mean amounts of the diffused substance or mean temperatures of the investigated medium.
On The Lie Curvature Of Dupin Hypersurfaces, Thomas E. Cecil
On The Lie Curvature Of Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship
A hypersurface M in a standard sphere Sn is said to be Dupin if each of its principal curvatures is constant along its corresponding curvature surfaces. If the number of distinct principal curvatures is constant, then M is called a proper Dupin hypersurface. There is a close relationship between the class of compact proper Dupin hypersurfaces and the class of isoparametric hypersurfaces. Miinzner [11] showed that the number g of distinct principal curvatures of an isoparametric hypersurface must be 1, 2, 3, 4 or 6. Thorbergsson [15] then showed that the same restriction holds for a compact proper Dupin …
Management Information Sources And Corporate Intelligence Systems, Robert F. Gordon Ph.D.
Management Information Sources And Corporate Intelligence Systems, Robert F. Gordon Ph.D.
Faculty Works: MCS (1984-2023)
In this book the word “intelligence” is used in several different contexts. Intelligence can refer to the process of gathering data; it can refer to the data itself; and it can refer to the application of knowledge to product useful information from the data. We will see in this chapter how the computer can be used in business to further all three aspects of intelligence: capturing the data, storing the data in an accessible form, and adding value to the data by transforming it into useful information for decision making. This chapter is organized according to these three areas of …
A Generalization Of Linear Multistep Methods, Leon Arriola
A Generalization Of Linear Multistep Methods, Leon Arriola
Mathematics & Statistics Theses & Dissertations
A generalization of the methods that are currently available to solve systems of ordinary differential equations is made. This generalization is made by constructing linear multistep methods from an arbitrary set of monotone interpolating and approximating functions. Local truncation error estimates as well as stability analysis is given. Specifically, the class of linear multistep methods of the Adams and BDF type are discussed.