Matematik 2 Ma Matematisk Analyse
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Properties of some character tables related to the symmetric groups
We determine invariants like the Smith normal form and the determinant for certain integral matrices which arise from the character tables of the symmetric groups Sn and their double covers. In particular, we give a simple computation, based on the theory of Hall-Littlewood symmetric functions, of the determinant of the regular character table XRC of Sn with respect to an integer r ≥ 2. This re...
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Colloq. Algebraic Topology, 1962, pp. 104-113, Matematisk Institut, Aarhus Universitet, Denmark. 4. M. F. Atiyah, Thorn complexes, Proc. London Math. Soc. (3) 11 (1961), 291310. 5. M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342-353. 6. Sze-Tsen Hu, Homotopy theory, Pure and Applied Mathematics VIII, Academic Press, New York and London, 195...
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We present and compare definitions of the notion of “statistically hiding” protocols, and we propose a novel statistically hiding commitment scheme. Informally, a protocol statistically hides a secret if a computationally unlimited adversary who conducts the protocol with the owner of the secret learns almost nothing about it. One definition is based on the L1-norm distance between probability ...
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In this thesis we investigate the existence of complex-valued harmonic morphisms on Lie groups and homogeneous Hadamard manifolds. The Lie groups that we are interested in have a particular decomposition of their Lie algebra. This decomposition allows us to define harmonic morphisms to R, n ≥ 2. Any homogeneous Hadamard manifold is isometric to a solvable Lie group S with a left-invariant metri...
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Kelebek etkisi karışık dinamik sistemlerde başlangıçtaki küçük bir değişimin, beklenmedik büyük bir sonuca yol açmasıdır. Modern bilimde, bu teorinin fizik, matematik, mühendislik gibi alanların yanısıra biyoloji, psikololoji ve nörobilimde de uygulamaları bulunmaktadır. Bilişsel işlevlere dinamik yaklaşım insan gelişiminin karmaşık süreçlerinin yaşam boyunca zihinsel, davranışsal, nöronal ve s...
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