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Titlebook: Idempotent Analysis and Its Applications; Vassili N. Kolokoltsov,Victor P. Maslov Book 1997 Springer Science+Business Media Dordrecht 1997

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Vassili N. Kolokoltsov,Victor P. Maslovthat delimit these spaces exist only because they were secreted by living protoplasts that once filled the spaces. The protoplast is the plant cell, as we now know it. Among higher plants particularly, protoplasts rarely exist naturally in the absence of their cell walls, and experimentalists have l
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order. Theory is used to explain and predict which liquid systems, polymer structures, and chemical modifications form gels and polymer solutions. Extension of these principles leads to super-absorbent polymers. Cellulose is not water soluble, though some water systems can dissolve cellulose, partic
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Idempotent Analysis,ings, give a concise exposition of idempotent linear algebra, and survey some of its applications. Idempotent linear algebra studies the properties of the semimodules .., . ∈ ℕ, over a semiring . with idempotent addition; in other words, it studies systems of equations that are linear in an idempote
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Analysis of Operators on Idempotent Semimodules,of idempotent analysis exhibits itself in the fact that each linear operator on such a semimodule is an integral operator, that is, has the form .for some idempotent integral kernel .(.). In §2.1 we give necessary and sufficient conditions for this function to specify a continuous operator. We give
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,Generalized Solutions of Bellman’s Differential Equation, the conventional linear theory, by using the adjoint operator. Idempotent analysis provides a physically natural interpretation of formulas thus obtained: they are given by the convolution (in the new sense) of the initial data with the Green function (the solution whose initial value is given by t
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https://doi.org/10.1007/978-94-015-8901-7Mathematica; calculus; differential equation; economics; mathematical economics; schrödinger equation; par
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