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Titlebook: Functioning and Management of European Beech Ecosystems; Rainer Brumme,Partap K. Khanna Book 2009 Springer-Verlag Berlin Heidelberg 2009 F

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楼主: deliberate
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Activity 14,All high level computer languages use subroutines in one form or another, and BASIC is no exception. A subroutine enables a breakout to be made from the main stream of a program in order that a specialised routine may be performed.
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Algebras without the Approximation Property,An example of the determinant of an algebra without the approximation property is discussed in this chapter. It is shown that, in this case, the determinant is not uniquely defined; i.e., there are many extensions of the determinant on the algebra of operators of finite rank.
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Determinants of Integral Operators with Semi-separable Kernels,Chapter XIII is devoted to integral operators with semi-separable kernels. The main aim is to compute the Fredholm determinant and the Hilbert-Carleman determinant for those operators. The theory of systems with boundary conditions plays a crucial role here. Formulas for the resolvents of the above integral operators are also provided.
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First Examples,The theory of determinants and traces in several matrix algebras are reviewed in this chapter. The results are based on the results of the previous chapter.
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,S-phase fraction and breast cancer — a decade of experience,During the past decade, more than 300 articles, abstracts, and book chapters have been published about S-phase fraction (SPF) determined by DNA flow cytometry and its clinical utility for patients with breast cancer. However, the use of SPF for making treatment decisions for breast cancer patients remains controversial.
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