An interest in science

Philip Kindred Dick (December 16, 1928 – March 2, 1982) was an American science fiction novelist, short story writer, and essayist. Dick explored sociological, political and metaphysical themes in novels dominated by monopolistic corporations, authoritarian governments, and altered states. In his later works, Dick's thematic focus strongly reflected his personal interest in mysticism and theology. He often drew upon his own life experiences and addressed the nature of drug use, paranoia and schizophrenia, and mystical experiences in novels such as A Scanner Darkly and VALIS.

13p hotmoingay7 23-01-2013 54 3   Download

Philip Kindred Dick (December 16, 1928 – March 2, 1982) was an American science fiction novelist, short story writer, and essayist. Dick explored sociological, political and metaphysical themes in novels dominated by monopolistic corporations, authoritarian governments, and altered states. In his later works, Dick's thematic focus strongly reflected his personal interest in mysticism and theology. He often drew upon his own life experiences and addressed the nature of drug use, paranoia and schizophrenia, and mystical experiences in novels such as A Scanner Darkly and VALIS.

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Introduction In 1903 Voronoi [42] postulated the existence of explicit formulas for sums of the form (1.1) n≥1 an f (n) , for any “arithmetically interesting” sequence of coefficients (an )n≥1 and every f in a large class of test functions, including characteristic functions of bounded intervals. He actually established such a formula when an = d(n) is the number of positive divisors of n [43]. He also asserted a formula for (1.2) an = #{(a, b) ∈ Z2 | Q(a, b) = n} , where Q denotes a positive definite integral quadratic form [44]; ...

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We prove that any genus-2 Lefschetz fibration without reducible fibers and with “transitive monodromy” is holomorphic. The latter condition comprises all cases where the number of singular fibers µ ∈ 10N is not congruent to 0 modulo 40. This proves a conjecture of the authors in [SiTi1]. An auxiliary statement of independent interest is the holomorphicity of symplectic surfaces in S 2 -bundles over S 2 , of relative degree ≤ 7 over the base, and of symplectic surfaces in CP2 of degree ≤ 17. ...

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The usual index theorems for holomorphic self-maps, like for instance the classical holomorphic Lefschetz theorem (see, e.g., [GH]), assume that the fixed-points set contains only isolated points. The aim of this paper, on the contrary, is to prove index theorems for holomorphic self-maps having a positive dimensional fixed-points set. The origin of our interest in this problem lies in holomorphic dynamics.

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