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Zahlentheorie der TettarionenDu Pasquier, Louis Gustav, January 1906 (has links)
Inaug.-diss.--Zürich.
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Zahlentheorie der TettarionenDu Pasquier, Louis Gustav, January 1906 (has links)
Inaug.-diss.--Zürich.
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Bidrag til den komplexe geometriFog, David, January 1930 (has links)
Thesis--Copenhagen. / "Fortegnelse over større værker, som gentagne gange citeres": p. [x].
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Bidrag til den komplexe geometriFog, David, January 1930 (has links)
Thesis--Copenhagen. / "Fortegnelse over større værker, som gentagne gange citeres": p. [x].
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On hermitian functions over real numbers, complex numbers or real quaternions歐陽亦藹, Au-Yeung, Yik-hoi. January 1970 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy
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On hermitian functions over real numbers, complex numbers or real quaternions.Au-Yeung, Yik-hoi. January 1970 (has links)
Thesis--Ph. D., University of Hong Kong. / Mimeographed.
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Generalization of the Genocchi numbers to their q-analogueRogala, Matthew January 2008 (has links) (PDF)
Honors thesis (B.A.)-Ithaca College Dept. of Mathematics, 2008. / Title from abstract page. "April 15, 2008." includes abstract Includes bibliographical references (leaf 33). Also available in print form in the Ithaca College Archives.
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Complex Numbers in Quantum TheoryMaynard, Glenn 08 1900 (has links)
In 1927, Nobel prize winning physicist, E. Schrodinger, in correspondence with Ehrenfest, wrote the following about the new theory: “What is unpleasant here, and indeed directly to be objected to, is the use of complex numbers. Psi is surely fundamentally a real function.” This seemingly simple issue remains unexplained almost ninety years later. In this dissertation I elucidate the physical and theoretical origins of the complex requirement. I identify a freedom/constraint situation encountered by vectors when, employed in accordance with adopted quantum representational methodology, and representing angular momentum states in particular. Complex vectors, quite simply, provide more available adjustable variables than do real vectors. The additional variables relax the constraint situation allowing the theory’s representational program to carry through. This complex number issue, which lies at the deepest foundations of the theory, has implications for important issues located higher in the theory. For example, any unification of the classical and quantum accounts of the settled order of nature, will rest squarely on our ability to account for the introduction of the imaginary unit.
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The geometry of continued fractions as analysed by considering Möbius transformations acting on the hyperbolic planevan Rensburg, Richard 24 February 2012 (has links)
M.Sc., Faculty of Science, University of the Witwatersrand, 2011 / Continued fractions have been extensively studied in number-theoretic ways.
In this text, we will illuminate some of the geometric properties of contin-
ued fractions by considering them as compositions of MÄobius transformations
which act as isometries of the hyperbolic plane H2. In particular, we examine
the geometry of simple continued fractions by considering the action of the
extended modular group on H2. Using these geometric techniques, we prove
very important and well-known results about the convergence of simple con-
tinued fractions. Further, we use the Farey tessellation F and the method of
cutting sequences to illustrate the geometry of simple continued fractions as
the action of the extended modular group on H2. We also show that F can be
interpreted as a graph, and that the simple continued fraction expansion of
any real number can be can be found by tracing a unique path on this graph.
We also illustrate the relationship between Ford circles and the action of the
extended modular group on H2. Finally, our work will culminate in the use of
these geometric techniques to prove well-known results about the relationship
between periodic simple continued fractions and quadratic irrationals.
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Dynamical analysis of complex-valued recurrent neural networks with time-delays. / CUHK electronic theses & dissertations collectionJanuary 2013 (has links)
Hu, Jin. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 140-153). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts also in Chinese.
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