homogeneity of degree zero

  • 1Sonnenschein–Mantel–Debreu theorem — The Sonnenschein–Mantel–Debreu theorem (named after Gérard Debreu, Rolf Ricardo Mantel, and Hugo Freund Sonnenschein) is a result in general equilibrium economics. It states that the excess demand function for an economy is not restricted by the… …

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  • 2General equilibrium — theory is a branch of theoretical microeconomics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets. It is often assumed that agents are price takers and in that setting two common… …

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  • 3Sonnenschein-Mantel-Debreu Theorem — The Sonnenschein Mantel Debreu Theorem is a result in General equilibrium economics. It states that the system of excess demand functions pertaining to an economy with sufficiently many agents is in no way restricted by the usual rationality… …

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  • 4Hicksian demand function — In microeconomics, a consumer s Hicksian demand correspondence is the demand of a consumer over a bundle of goods that minimizes their expenditure while delivering a fixed level of utility. If the correspondence is actually a function, it is… …

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  • 5Linear — The word linear comes from the Latin word linearis , which means created by lines .In advanced mathematics, a linear map or function f ( x ) is a function which satisfies the following two properties:* Additivity (also called the superposition… …

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  • 6Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …

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  • 7RiskMetrics — When making an investment, conventional methodology focused purely on the predicted level of return (or yield). Market professionals knew that you can have two assets with similar returns and yet one would be considered more risky . Professionals …

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  • 8Riesz transform — In the mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension d > 1. They are a type of singular integral operator, meaning that they are given by a …

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  • 9cosmos — /koz meuhs, mohs/, n., pl. cosmos, cosmoses for 2, 4. 1. the world or universe regarded as an orderly, harmonious system. 2. a complete, orderly, harmonious system. 3. order; harmony. 4. any composite plant of the genus Cosmos, of tropical… …

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  • 10algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …

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