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Articles 1 - 7 of 7
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Constructing Associative Rings From Certain Hypergroups, Oscar Gonzalez
Constructing Associative Rings From Certain Hypergroups, Oscar Gonzalez
Theses and Dissertations
Tight hypergroups give rise to associative rings if the so-called general normality condition holds\cite{ARTICLE:1}. We consider four examples of tight hypergroups which do not satisfy the general normality condition and show that they still give rise to associative rings. Our examples are HM332(24),HM10353(32), HM10933(32) and HM10941(32)[1].
2-Hyponormality On Unilateral Weighted Shifts, Juan G. Benitez
2-Hyponormality On Unilateral Weighted Shifts, Juan G. Benitez
Theses and Dissertations
Given the concept of a normal operator, several weaker notions have been proposed in order to extend the properties of normal operators to a wider range of operators. One such notion is that of k-hyponormal operators. In this document, we focus our attention on the 2-hyponormality of weighted shift operators over a discrete Hilbert space. It will be shown that if a certain relation between the weights α = ( α0, α1,...) of a weighted shift Wα is satisfied, then the 2-hyponormality of Wα implies the hyponormality of Wαm for any m = 2, 3,....
Empirical Bayes Estimators And Borel-Tanner Distribution, Celestina Ruby Soltero
Empirical Bayes Estimators And Borel-Tanner Distribution, Celestina Ruby Soltero
Theses and Dissertations
The motivation for this paper stems from the role Borel-Tanner (BT) distribution has as the distribution of the total outbreak number in epidemics modeled by branching processes. We briefly review Borel-Tanner distribution and its applications. In Chapter II we outline the Bayes decision problem, a construction for an Empirical Bayes (EB) estimator proposed by Liang [9] and discuss risk analysis. In Chapter III, the importance of randomization addressed and a classical construction of a monotonized EB estimator proposed by Houwalingen [14] is outlined. Lastly in Chapter IV we use R software to perform a Monte Carlo simulation and conduct a …
Analysis Of The Cnn Algorithm In Target Recognition By Using The Mstar Database, Ligang Zou
Analysis Of The Cnn Algorithm In Target Recognition By Using The Mstar Database, Ligang Zou
Theses and Dissertations
With the rapid development of artificial intelligence technology and the emergence of a large number of innovative theories, the concept of deep learning is widely used in object detection, speech recognition, language translation and other fields. One of the important practices is target recognition in SAR images. Although it shows certain effectiveness in some researches, when using deep learning algorithm, there are still many problems that have not yet been solved. For example, people do not have a good understanding of how convolution works and the impact of convolution on the algorithm, although convolution works well in the CNN algorithm. …
Reduction Of The Kp Hierarchy, Adrian Eugenio Torres
Reduction Of The Kp Hierarchy, Adrian Eugenio Torres
Theses and Dissertations
This thesis will delve into the Kadomtsev-Petviashvili equation or KP equation and it's hierarchy. More specifically, the solition theory around it. To do so, we first explore the soliton theory for the Korteweg de-Vries equation or KdV equation by analysing it through the inverse scattering transform method and presenting it's soliton solutions. Second, we will introduce, Hirota's bilinear form, and understand its main idea. Third, introduce Sato Theory, and use it to formulate the KP hierarchy, via using pseudo-differential operators, presenting the lax operator, the dressing operator, Sato’s equation, and the zero curvature equation (Zakharov-Shabat Equation). Fourth, find the general …
Pm2.5 Data Reliability And Air Quality Improvement Trends In Beijing, Huimin Li
Pm2.5 Data Reliability And Air Quality Improvement Trends In Beijing, Huimin Li
Theses and Dissertations
PM2.5 has been a main environmental concern due to its adverse effects on human health and society. We used data from two sources: monitoring station of the U.S. Embassy in Beijing, and several nearby monitoring stations of the Chinese Ministry of Environmental Protection. This study includes investigating (1) PM2.5 historical data reliability, (2) PM2.5 real-time data reliability, and (3) air quality improvement trends in Beijing over the past decade. We used graphical methods, descriptive statistics, correlation analysis, and inferential analyses including paired samples t-test, ANOVA, and Kruskal-Wallis test. We reported effect sizes to aid study on practical significance. Inferential procedures' …
Existence And Classification Of Solutions To Nonlinear Elliptic Equations, Haseeb E. Ansari
Existence And Classification Of Solutions To Nonlinear Elliptic Equations, Haseeb E. Ansari
Theses and Dissertations
The so-called Lane-Emden equation is a model in astrophysics, useful to problems in analysis and conformal geometry, and is closely related to the Yamabe Problem and the Uniformization Theorem. We discuss several important results for the equation, which include proving that the equation admits a distribution solution if and only if p is greater than the Serrin exponent, that classical solutions admit the form of a "bubble function" if p is equal to the Sobolev exponent, and no classical solutions exist for p less than the Sobolev exponent. A new proof of an extended result is also included.