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The statement was first proven by Claude Berge in 1959. [1] The theorem is primarily used in mathematical economics and optimal control . Statement of theorem
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The pragmatic maxim, also known as the maxim of pragmatism or the maxim of pragmaticism, is a maxim of logic formulated by Charles Sanders Peirce.Serving as a normative recommendation or a regulative principle in the normative science of logic, its function is to guide the conduct of thought toward the achievement of its purpose, advising on an optimal way of "attaining clearness of apprehension".
[1] [2] The maximum principle was formulated in 1956 by the Russian mathematician Lev Pontryagin and his students, [3] [4] and its initial application was to the maximization of the terminal speed of a rocket. [5] The result was derived using ideas from the classical calculus of variations. [6]
Statements consisting only of original research should be removed. ( March 2018 ) ( Learn how and when to remove this message ) The whole of neoclassical equilibrium analysis implies that Say's law in the first place functioned to bring a market into this state: that is, Say's law is the mechanism through which markets equilibrate uniquely.
The following is the statement of the theorem in the books of Morrey and Smoller, following the original statement of Hopf (1927): Let M be an open subset of Euclidean space ℝ n. For each i and j between 1 and n, let a ij and b i be continuous functions on M with a ij = a ji. Suppose that for all x in M, the symmetric matrix [a ij] is ...
Notes: Foldout is damaged. Authority file ... Elementary principles of economics: Author: Fisher, Irving, 1867-1947: ... Version of PDF format: 1.5
Book I is broken down into six chapters that begin to define economics. The text starts by describing that economics and politics differ in two major ways, one, in the subjects with which they deal and two, the number of rulers involved. Like an owner of a house, there is only one ruling in an economy, while politics involves many rulers.