MAX-PLANCK-DENKMAL in Kiel

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Max - Planck - Institut für

In this paper we consider the question of determining the geometric genera of irreducible curves lying on a very general surface S of degree d > 5 in P (the cases d 6 4 are well known). For any d > 4 we introduce the set Gaps(d) of all non–negative integers which are not realized as geometric genera of irreducible curves on a very general surface of degree d in P. We prove that Gaps(d) is finit...

Max - Planck - Institut Für Informatik

We present a two-sorted algebra, called a Peirce algebra, of relations and sets interacting with each other. In a Peirce algebra, sets can combine with each other as in a Boolean algebra, relations can combine with each other as in a relation algebra, and in addition we have both a relationforming operator on sets (the Peirce product of Boolean modules) and a set-forming operator on relations (...

Budget threatens Max-Planck closures

in the planning of experiments. " We need to develop ways of better training researchers in methodology to avoid this, " he said. Sir David Weatherall, founding director of the Weatherall Institute of Molecular Medicine at Oxford University, said: " For medicine it's a way of life to be supported by the pharmaceutical industry. If you've been looked after by these people, unconscious bias is da...

Max Planck : the reluctant revolutionary

ACCORDING to the standard story, which is unfortunately still found in many physics textbooks, quantum theory emerged when it was realized that classical physics predicts an energy distribution for black-body radiation that disagrees violently with that found experimentally. In the late 1890s, so the story continues, the German physicist Wilhelm Wien developed an expression that corresponded re...