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Articles 1 - 30 of 85
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Search Designs And Other Topic In Fractional Replication., Kashinath Chatterjee Dr.
Search Designs And Other Topic In Fractional Replication., Kashinath Chatterjee Dr.
Doctoral Theses
This thesis primarily deals with search designs (see Srivastava (1975)) of various types for general symmetric and asymmetric factorials. The thesis also considers some other types on fractional factorials. We have made use of Kronecker products and various other results from matrix theory.In the first four chapters, different types of search designs have been studied. Chapter 5A considers the construction of orthogonal main-effect plans for general factorial experiments under the presence of a linear time trend. Chapter 5B extends the calculus for factorial arrangements to a fractional factorial set-up and examines critically the proportional frequency plans from the point of …
Notes On Sufficient Conditions For A Graph To Be Hamiltonian, Michael Joseph Paul, Carmen Baytan Shershin, Anthony Connors Shershin
Notes On Sufficient Conditions For A Graph To Be Hamiltonian, Michael Joseph Paul, Carmen Baytan Shershin, Anthony Connors Shershin
School of Computing and Information Sciences
The first part of this paper deals with an extension of Dirac's Theorem to directed graphs. It is related to a result often referred to as the Ghouila-Houri Theorem. Here we show that the requirement of being strongly connected in the hypothesis of the Ghouila-Houri Theorem is redundant.
The Second part of the paper shows that a condition on the number of edges for a graph to be hamiltonian implies Ore's condition on the degrees of the vertices.
A Nonstandard Delta Function, Todor D. Todorov
A Nonstandard Delta Function, Todor D. Todorov
Mathematics
We prove that the Dirac delta distribution has a kernel in the class of the pointwise nonstandard functions.
Studies In Rapid Kinetic Reactions By Quasi-Quantum Mechanical, Conservative Methodology, Donald Greenspan
Studies In Rapid Kinetic Reactions By Quasi-Quantum Mechanical, Conservative Methodology, Donald Greenspan
Mathematics Technical Papers
Simulations are made of prototype, ground state, rapid kinetic reactions for A+BC, in which B, and C are hydrogen atoms and BC is a hydrogen molecule. We study cases in which B and C first unbind, and then A, B, and C undergo complex, three-body, oscillatory behavior in accordance with the Morse potential. It is shown that, in every case, one of A, or C is ejected and the remaining two atoms form an H2 bond with precisely correct ground state energy, frequency, and bond length. Pico second trajectories are described and discussed. The numerical method employed conserves the system's …
Generalized Gradient Methods For Solving Locally Lipschitz Feasibility Problems, Dan Butnariu
Generalized Gradient Methods For Solving Locally Lipschitz Feasibility Problems, Dan Butnariu
Mathematics Technical Papers
In this paper we study the behavior of a class of iterative algorithms for solving feasibility problems, that is finite systems of inequalities [see pdf for notation], where each [see pdf for notation] is a locally Lipschitz functional on a Hilbert space X. We show that, under quite mild conditions, the algorithms studied in this note, if converge, then they approximate a solution of the feasibility given problem, provided that the feasibility problem is consistent. We prove several convergence criteria showing that, when the envelope of the functionals [see pdf for notation], is sufficiently "regular", then the algorithms converge. The …
A Method For Approximating The Solution Set Of A System Of Convex Inequalities By Polytopes, Yair Censor, Dan Butnariu
A Method For Approximating The Solution Set Of A System Of Convex Inequalities By Polytopes, Yair Censor, Dan Butnariu
Mathematics Technical Papers
In this note a method for computing approximations by polytopes of the solution set [see pdf for notation] of a system of convex inequalities is presented. It is shown that such approximations can be determined by an algorithm which converges in finitely many steps when the solution set of the given system of inequalities is bounded. In this case, the algorithm generates "inner" and "outer' approximations having the Hausdorff distance to each other (and to the set [see pdf for notation]) not greater than an a priori fixed [see pdf for notation] and having their extremal points in [see pdf …
Dihedral Rewriteability, Cheryl P. Grood
Dihedral Rewriteability, Cheryl P. Grood
Mathematical Sciences Technical Reports (MSTR)
In this paper we compute the probability that an n-tuple for a group G is S-rewritable for a given set S of permutations for several classes of groups.
Some Facts About Cwat-Sets, Martin Wattenburg
Some Facts About Cwat-Sets, Martin Wattenburg
Mathematical Sciences Technical Reports (MSTR)
In [1] and [2], Sherman and Atkins, in connection with a problem in statistics, introduced a generalization of the concept of a subgroup of Z2. These generalized subgroups, which we call CWAT-sets (where "CWAT" is an acronym for "Closed With A Twist" ), have a rich algebraic structure. In this paper we establish some simple combinatorial facts about CWAT-sets, as well as provide two construction methods, prove a divisibility theorem, and make a classification conjecture.
Accurate Quasi-Quantum Mechanical Numerical Methodology, Donald Greenspan
Accurate Quasi-Quantum Mechanical Numerical Methodology, Donald Greenspan
Mathematics Technical Papers
A quasi-quantum mechanical method in which energy is determined by quantum mechanics and motion by Newtonian mechanics is studied by combining it with numerical methodology which conserves energy exactly at each time step. Application is made to the study of the diameter and vibrational frequency of the ground state H2 molecule. The numerical results agree exactly with experimental and quantum mechanical results.
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Degree Of Adaptive Approximation, Ronald A. Devore, Ming Yu Xiang
Faculty Publications
We obtain various estimates for the error in adaptive approximation and also establish a relationship between adaptive approximation and free-knot spline approximation.
Mathematical Visions: The Pursuit Of Geometry In Victorian England (Book Review), Calvin Jongsma
Mathematical Visions: The Pursuit Of Geometry In Victorian England (Book Review), Calvin Jongsma
Faculty Work Comprehensive List
Reviewed Title: Joan L. Richards. Mathematical Visions: The Pursuit of Geometry in Victorian England. xiii + 266 pp., illus., figs., bibl., index. Boston/New York: Academic Press, Harcourt Brace Jovanovich, 1988.
A Numerical Approach To Rewriteability In Finite Groups, J.L. Leavitt, G.J. Sherman, M.E. Walker
A Numerical Approach To Rewriteability In Finite Groups, J.L. Leavitt, G.J. Sherman, M.E. Walker
Mathematical Sciences Technical Reports (MSTR)
In this paper we compute the probability that an n-tuple for a group G is S-rewritable for a given set S of permutations for several classes of groups.
Maximal Order Three-Rewriteable Subgroups Of Symmetric Groups, John T. O'Bryan
Maximal Order Three-Rewriteable Subgroups Of Symmetric Groups, John T. O'Bryan
Mathematical Sciences Technical Reports (MSTR)
Recently, Burns and Goldsmith [2] characterized the maximal order Abelian subgroups of the symmetric groups using elementary techniques and the results of Hoffman [5]. This classification could also be directly inferred from the results of Kovacs and Praeger [7]. A natural extension would be to consider the weaker, more general form of commutativity, three-rewriteability. The purpose of this paper is to completely characterize the maximal order three-rewriteable subgroups of the symmetric groups.
How Hamiltonian Can A Finite Group Be?, G.J. Sherman, T.J. Tucker, M.E. Walker
How Hamiltonian Can A Finite Group Be?, G.J. Sherman, T.J. Tucker, M.E. Walker
Mathematical Sciences Technical Reports (MSTR)
No abstract provided.
Fibonacci Sequences In Finite Groups, Steven W. Knox
Fibonacci Sequences In Finite Groups, Steven W. Knox
Mathematical Sciences Technical Reports (MSTR)
This paper extend the notion of Fibonacci sequence mod m to Fibonacci sequences in finite groups.
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.
Supercomputer Simulation Of The Modes Of Colliding Microdrops Of Water, Larry F. Heath, Donald Greenspan
Supercomputer Simulation Of The Modes Of Colliding Microdrops Of Water, Larry F. Heath, Donald Greenspan
Mathematics Technical Papers
No abstract provided.
Notions Of Relative Ubiquity For Invariant Sets Of Relational Structures, Paul Bankston, Wim Ruitenburg
Notions Of Relative Ubiquity For Invariant Sets Of Relational Structures, Paul Bankston, Wim Ruitenburg
Mathematics, Statistics and Computer Science Faculty Research and Publications
Given a finite lexicon L of relational symbols and equality, one may view the collection of all L-structures on the set of natural numbers w as a space in several different ways. We consider it as: (i) the space of outcomes of certain infinite two-person games; (ii) a compact metric space; and (iii) a probability measure space. For each of these viewpoints, we can give a notion of relative ubiquity, or largeness, for invariant sets of structures on w. For example, in every sense of relative ubiquity considered here, the set of dense linear orderings on w is …
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.
Sums Of Semiprime, Z, And D L-Ideals In A Class Of F-Rings, Suzanne Larson
Sums Of Semiprime, Z, And D L-Ideals In A Class Of F-Rings, Suzanne Larson
Mathematics, Statistics and Data Science Faculty Works
In this paper it is shown that there is a large class of f-rings in which the sum of any two semiprime i-ideals is semiprime. This result is used to give a class of commutative f-rings with identity element in which the sum of any two z-ideals which are i-ideals is a z-ideal and the sum of any two d-ideals is a d-ideal.
Some Np-Complete Problems In Linear Algebra, Santhosh Sastry '90
Some Np-Complete Problems In Linear Algebra, Santhosh Sastry '90
Honors Projects
This research project is aimed at studying the theory of NP-Completeness and determining the complexity of certain problems in linear algebra. The first chapter introduces the reader to Complexity theory and defines NP-Completeness. It is supported by Appendices 1 and 2. Appendix 3 lists some known NP-Complete problems.
Remarks On Tensor Operators, Daniel Flath
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 …
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 …
An Artificial Neural Approach To The Decomposition Problem, Chandrashekar L. Masti
An Artificial Neural Approach To The Decomposition Problem, Chandrashekar L. Masti
Electrical & Computer Engineering Theses & Dissertations
The goal of this thesis is to develop an artificial neural approach toward addressing the intractability involved with the decomposition problem. The search for the lattice of substitution property (s. p.) partitions essential to decompositions is cast into the framework of constraint satisfaction. An artificial neural network is developed to provide solutions by performing optimization of a mathematically derived objective function over the problem space. The issue of transitivity is verified to belong to a class of problems beyond the scope of solvability for conventional quadratic-order constraint satisfaction neural networks. A theorem is stated and proved establishing that third-order correlations …
Oscillations In Lotka-Volterra Systems Of Chemical Reactions, Roger H. Hering
Oscillations In Lotka-Volterra Systems Of Chemical Reactions, Roger H. Hering
Mathematics and Statistics Faculty Research & Creative Works
For a chemical reaction system modeled by x =k1Ax -k2x2 -k3xy +k4y2, y =k3xy -k4y2 -k5y +k6B, it is shown that for each positive choice of parameters k1A, B there exists a unique stationary state which is globally asymptotically stable in the positive quadrant. A criterion for the non-existence of periodic solutions is given for the generalized Lotka-Volterra system:x = f(x)h(x, y), y. © 1990 J.C. Baltzer AG, Scientific Publishing Company.
Lifted P-Adic Homology With Compact Supports Of The Weierstrass Family And Its Zeta Endomorphism, Goro Kato
Lifted P-Adic Homology With Compact Supports Of The Weierstrass Family And Its Zeta Endomorphism, Goro Kato
Mathematics
The relations among the generators for the lifted p-adic homology with compact supports of the various subfamilies of the Weierstrass family in characteristic p > 0 (p ≠ 2, 3) are explicitly given in Section 2. Then, the universal coefficient spectral sequence and the zeta endomorphism in Section 3 enable one to compute explicitly the lifted p-adic homology with compact supports of all fibres, including all the elliptic curves and all their singular degenerations in the family.
Taxonomies Of Model-Theoretically Defined Topological Properties, Paul Bankston
Taxonomies Of Model-Theoretically Defined Topological Properties, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
A topological classification scheme consists of two ingredients: (1) an abstract class K of topological spaces; and (2) a "taxonomy", i.e. a list of first order sentences, together with a way of assigning an abstract class of spaces to each sentence of the list so that logically equivalent sentences are assigned the same class.K, is then endowed with an equivalence relation, two spaces belonging to the same equivalence class if and only if they lie in the same classes prescribed by the taxonomy. A space X in K is characterized within the classification scheme if whenever Y E …
On The Error In Quasi-Quantum Mechanical Calculations, Donald Greenspan
On The Error In Quasi-Quantum Mechanical Calculations, Donald Greenspan
Mathematics Technical Papers
A numerical simulation of the vibration of a ground state H2 molecule is made from a quasi-quantum mechanical point of view, that is, energy has been determined by quantum mechanics and trajectories determined by Newtonian mechanics. The numerical method used is implicit and conserves the energy exactly at each time step. A variety of CRAY X-MP/SE14 calculations are described and discussed. Comparisons are made with correct oscillation and diameter values.