Название: On four approaches to density ISBN: 363164941X ISBN-13(EAN): 9783631649411 Издательство: Peter Lang Рейтинг: Цена: 3678 р. Наличие на складе: Невозможна поставка.
Описание: The aim of this short book is to present the elements of a systematic theory of certain types of finitely additive probability measures on a set of positive integers. The conventional name of this measures is «density» with an adjective. Every set of positive integers is finite or infinite countable. It is, thus, impossible to consider a sigma additive probability measure defined on a certain class of the sets of positive integers, which could distinguish between the finite and infinite sets of positive integers. The greatness of the first is negligible. From the point of view of cardinality, the second has the same greatness. If we want to consider the measure of greatness, which could divide the sets of positive integers from a certain aspect of their structure, it is more convenient to consider the finitely additive measure. We shall study four most known types of these set functions. One of the important rules in the set of positive integers is played by the relation to divisibility, thus our main attention is devoted to the connection between density and this relation. We try to derive some known results from the basic definitions.
Автор: Mahan, Gerald D. Subbaswamy, K. R. Название: Local density theory of polarizability ISBN: 1489924884 ISBN-13(EAN): 9781489924889 Издательство: Springer Рейтинг: Цена: 15672 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Density functional theory in the Local Density Approximation (LDA) has been shown to be a very accurate method for calculating ground state prop- erties of electronic system. For static external fields, the induced moments are properties of the ground state.
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