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Articles 211 - 240 of 242
Full-Text Articles in Mathematics
Investigation Of The Effectiveness Of Interface Constraints In The Solution Of Hyperbolic Second-Order Differential Equations, Paul Jerome Silva
Investigation Of The Effectiveness Of Interface Constraints In The Solution Of Hyperbolic Second-Order Differential Equations, Paul Jerome Silva
Theses Digitization Project
Solutions to differential equations describing the behavior of physical quantities (e.g., displacement, temperature, electric field strength) often only have finite range of validity over a subdomain. Interest beyond the subdomain often arises. As a result, the problem of making the solution compatible across the connecting subdomain interfaces must be dealt with. Four different compatibility methods are examined here for hyperbolic (time varying) second-order differential equations. These methods are used to match two different solutions, one in each subdomain along the connecting interface. The entire domain that is examined here is a unit square in the Cartesian plane. The four compatibility …
The Edge-Isoperimetric Problem For The Square Tessellation Of Plane, Sunmi Lee
The Edge-Isoperimetric Problem For The Square Tessellation Of Plane, Sunmi Lee
Theses Digitization Project
The solution for the edge-isoperimetric problem (EIP) of the square tessellation of plane is investigated and solved. Summaries of the stabilization theory and previous research dealing with the EIP are stated. These techniques enable us to solve the EIP of the cubical tessellation.
Constructible Circles On The Unit Sphere, Blaga Slavcheva Pauley
Constructible Circles On The Unit Sphere, Blaga Slavcheva Pauley
Theses Digitization Project
In this paper we show how to give an intrinsic definition of a constructible circle on the sphere. The classical definition of constructible circle in the plane, using straight edge and compass is there by translated in ters of so called Lenart tools. The process by which we achieve our goal involves concepts from the algebra of Hermitian matrices, complex variables, and Sterographic projection. However, the discussion is entirely elementary throughout and hopefully can serve as a guide for teachers in advanced geometry.
Steiner Systems Of The Mathieu Group M₁₂, Kristin Marie Dillard
Steiner Systems Of The Mathieu Group M₁₂, Kristin Marie Dillard
Theses Digitization Project
A Steiner system T with parameters (5,6,12) is a collection of 6-element sets, called hexads, of a 12-element set [omega], such that any 5 of the 12 elements belong to exactly one hexad. In this project we construct a graph whose vertices are the orbits of S₁₂ on T x T, where T is the set of all Steiner systems S(5,6,12). Two vertices are joined if an orbit is taken into another under the action of a transposition. The number of hexads common to two Steiner systems are also given. We also prove that any two Steiner systems with parameters …
The Proof Of Fermat's Last Theorem, Mohamad Trad
The Proof Of Fermat's Last Theorem, Mohamad Trad
Theses Digitization Project
Fermat, Pierre de, is perhaps the most famous number theorist who ever lived. Fermat's Last Theorem states that the equation xn + yn = zn has no non-zero integer solutions for x, y and z when n>2.
A Lower Bound For The Cyclic Cutwidth Of The N-Cube, James Shigeo Namekata
A Lower Bound For The Cyclic Cutwidth Of The N-Cube, James Shigeo Namekata
Theses Digitization Project
No abstract provided.
Knot Theory And Wild Knots, Cherie Annette Reardon
Knot Theory And Wild Knots, Cherie Annette Reardon
Theses Digitization Project
No abstract provided.
A Study Of Optimization In Hilbert Space, John Awunganyi
A Study Of Optimization In Hilbert Space, John Awunganyi
Theses Digitization Project
No abstract provided.
State Sum Invariants Of Three Manifolds, Sharon Angela Newman-Gomez
State Sum Invariants Of Three Manifolds, Sharon Angela Newman-Gomez
Theses Digitization Project
No abstract provided.
A Study In Geometric Construction, Nichola Sue Mcclain
A Study In Geometric Construction, Nichola Sue Mcclain
Theses Digitization Project
No abstract provided.
Using Symbolic Dynamical Systems: A Search For Knot Invariants, Russell Clark Wheeler
Using Symbolic Dynamical Systems: A Search For Knot Invariants, Russell Clark Wheeler
Theses Digitization Project
No abstract provided.
Torus Embedding And Its Applications, Rick Hung Nguyenhuu
Torus Embedding And Its Applications, Rick Hung Nguyenhuu
Theses Digitization Project
No abstract provided.
Cyclic Cutwidth Of Three Dimensional Cubes, Ray N. Gregory
Cyclic Cutwidth Of Three Dimensional Cubes, Ray N. Gregory
Theses Digitization Project
No abstract provided.
Differential Geometry Of Surfaces And Minimal Surfaces, James Joseph Duran
Differential Geometry Of Surfaces And Minimal Surfaces, James Joseph Duran
Theses Digitization Project
No abstract provided.
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Theses Digitization Project
No abstract provided.
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Theses Digitization Project
No abstract provided.
Convex Functions, Susanna Maria Zagar
Convex Functions, Susanna Maria Zagar
Theses Digitization Project
No abstract provided.
Applications Of Hyperbolic Geometry In Physics, Scott Randall Rippy
Applications Of Hyperbolic Geometry In Physics, Scott Randall Rippy
Theses Digitization Project
The purpose of this study was to see how the fundamental properties of hyperbolic geometry applies in physics.
Sturm-Liouville Theory, Lycretia Englang Ting
Sturm-Liouville Theory, Lycretia Englang Ting
Theses Digitization Project
No abstract provided.
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Theses Digitization Project
No abstract provided.
The Mandelbrot Set, Jeffrey Francis Redona
The Mandelbrot Set, Jeffrey Francis Redona
Theses Digitization Project
No abstract provided.
Topological Classification Of Non-Degenerate Quadratic System, Aleksandr Voldman
Topological Classification Of Non-Degenerate Quadratic System, Aleksandr Voldman
Theses Digitization Project
No abstract provided.
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Theses Digitization Project
No abstract provided.
A Study Of Finite And Linear Elasticity, Fen Rui Johnson
A Study Of Finite And Linear Elasticity, Fen Rui Johnson
Theses Digitization Project
No abstract provided.
Isometries In Three Space And The Seven Solid Crystal Systems, Iris Magee
Isometries In Three Space And The Seven Solid Crystal Systems, Iris Magee
Theses Digitization Project
No abstract provided.
Analysis On A Hyperplane Of The Quaternions, Pamela Jean Whelchel
Analysis On A Hyperplane Of The Quaternions, Pamela Jean Whelchel
Theses Digitization Project
No abstract provided.
Describing And Distinguishing Knots, Lisa A. Padgett
Describing And Distinguishing Knots, Lisa A. Padgett
Theses Digitization Project
No abstract provided.
A Qualitative Study Of Planar Elastic Deformations, Stephen Thomas Wentworth
A Qualitative Study Of Planar Elastic Deformations, Stephen Thomas Wentworth
Theses Digitization Project
No abstract provided.
Nonstandard Analysis Based Calculus, Kathleen Renae Gibson
Nonstandard Analysis Based Calculus, Kathleen Renae Gibson
Theses Digitization Project
In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals.
An Efficient Presentation Of Pgl(2,P), Theresa Marie Hert
An Efficient Presentation Of Pgl(2,P), Theresa Marie Hert
Theses Digitization Project
No abstract provided.