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- Domination (2)
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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Extensions Of The Cayley-Hamilton Theorem With Applications To Elliptic Operators And Frames., Alberto Mokak Teguia
Extensions Of The Cayley-Hamilton Theorem With Applications To Elliptic Operators And Frames., Alberto Mokak Teguia
Electronic Theses and Dissertations
The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these results include calculating operators resolvents and finding the inverse of a frame operator.
Rocket Powered Flight As A Perturbation To The Two-Body Problem., Clayton Jeremiah Clark
Rocket Powered Flight As A Perturbation To The Two-Body Problem., Clayton Jeremiah Clark
Electronic Theses and Dissertations
The two body problem and the rocket equation r̈ + ∊ α ṙ + k/r3r = 0 have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the intractability of the resulting non-linear, non-homogeneous equations. The goal is to use perturbation techniques to approximate solutions to the combined two-body and rocket equations.
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
The Interquartile Range: Theory And Estimation., Dewey Lonzo Whaley
Electronic Theses and Dissertations
The interquartile range (IQR) is used to describe the spread of a distribution. In an introductory statistics course, the IQR might be introduced as simply the “range within which the middle half of the data points lie.” In other words, it is the distance between the two quartiles, IQR = Q3 - Q1. We will compute the population IQR, the expected value, and the variance of the sample IQR for various continuous distributions. In addition, a bootstrap confidence interval for the population IQR will be evaluated.
A Limit Theorem In Cryptography., Kevin Lynch
A Limit Theorem In Cryptography., Kevin Lynch
Electronic Theses and Dissertations
Cryptography is the study of encryptying and decrypting messages and deciphering encrypted messages when the code is unknown. We consider Λπ(Δx, Δy) which is a count of how many ways a permutation satisfies a certain property. According to Hawkes and O'Connor, the distribution of Λπ(Δx, Δy) tends to a Poisson distribution with parameter ½ as m → ∞ for all Δx,Δy ∈ (Z/qZ)m - 0. We give a proof of this theorem using the Stein-Chen method: As qm …
Bicyclic Mixed Triple Systems., Benkam Benedict Bobga
Bicyclic Mixed Triple Systems., Benkam Benedict Bobga
Electronic Theses and Dissertations
In the study of triple systems, one question faced is that of finding for what order a decomposition exists. We state and prove a necessary and sufficient condition for the existence of a bicyclic mixed triple system based on the three possible partial orientations of the 3-cycle with twice as many arcs as edges. We also explore the existence of rotational and reverse mixed triple systems. Our principal proof technique applied is the difference method. Finally, this work contains a result on packing of complete mixed graphs on v vertices, Mv, with isomorphic copies of two …
Paired And Total Domination On The Queen's Graph., Paul Asa Burchett
Paired And Total Domination On The Queen's Graph., Paul Asa Burchett
Electronic Theses and Dissertations
The Queen’s domination problem has a long and rich history. The problem can be simply stated as: What is the minimum number of queens that can be placed on a chessboard so that all squares are attacked or occupied by a queen? The problem has been expanded to include not only the standard 8x8 board, but any rectangular m×n sized board. In this thesis, we consider both paired and total domination versions of this renowned problem.
Using Domination To Analyze Rna Structures., Travis Reves Coake
Using Domination To Analyze Rna Structures., Travis Reves Coake
Electronic Theses and Dissertations
Understanding RNA molecules is important to genomics research. Recently researchers at the Courant Institute of Mathematical Sciences used graph theory to model RNA molecules and provided a database of trees representing possible secondary RNA structures. In this thesis we use domination parameters to predict which trees are more likely to exist in nature as RNA structures. This approach appears to have promise in graph theory applications in genomics research.
Survival Model And Estimation For Lung Cancer Patients., Xingchen Yuan
Survival Model And Estimation For Lung Cancer Patients., Xingchen Yuan
Electronic Theses and Dissertations
Lung cancer is the most frequent fatal cancer in the United States. Following the notion in actuarial math analysis, we assume an exponential form for the baseline hazard function and combine Cox proportional hazard regression for the survival study of a group of lung cancer patients. The covariates in the hazard function are estimated by maximum likelihood estimation following the proportional hazards regression analysis. Although the proportional hazards model does not give an explicit baseline hazard function, the baseline hazard function can be estimated by fitting the data with a non-linear least square technique. The survival model is then examined …