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Full-Text Articles in Mathematics
Pattern Recognition For Electric Power System Protection, Yong Sheng
Pattern Recognition For Electric Power System Protection, Yong Sheng
Doctoral Dissertations
The objective of this research is to demonstrate pattern recognition tools such as decision trees (DTs) and neural networks that will improve and automate the design of relay protection functions in electric power systems. Protection functions that will benefit from the research include relay algorithms for high voltage transformer protection (TP) and for high impedance fault (HIF) detection. A methodology, which uses DTs and wavelet analysis to distinguish transformer internal faults from other conditions that are easily mistaken for internal faults, has been developed. Also, a DT based solution is proposed to discriminate HIFs from normal operations that may confuse …
Zero-Cycles And K-Theory On Normal Surfaces., Amalendu Krishna Dr.
Zero-Cycles And K-Theory On Normal Surfaces., Amalendu Krishna Dr.
Doctoral Theses
The main theme of this thesis is to study the theory of algebraic cycles on singular varieties over a field. This has been studied before extensively by Collins, Barbieri-Viale, Levine, Srinivas among several others. Our interest in this thesis is to address some well known problems in the theory of zero-cycles over nominal varieties. The use of K- theoretic techniques in our proofs illustrate the interplay between the study of algebraic cycles and algebraic K-theory.For a quasi-projective surface X over a field k, we define FA,(X) to be the subgroup of the Grothendieck group Ko(X) of vector bundies generated by …
Fundamental Theorem Of Algebra, Paul Shibalovich
Fundamental Theorem Of Algebra, Paul Shibalovich
Theses Digitization Project
The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.