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Homogeneity (other)
Homogeneity is a sameness of constituent structure. Homogeneity, homogeneous, or homogenization may also refer to: In mathematics * Transcendental law of homogeneity of Leibniz * Homogeneous space for a Lie group G, or more general transformation group * Homogeneous function * Homogeneous polynomial * Homogeneous equation (linear algebra): systems of linear equations with zero constant term * Homogeneous differential equation * Homogeneous distribution * Homogeneous linear transformation * Homogeneous relation: binary relation on a set * Asymptotic homogenization, a method to study partial differential equations with highly oscillatory coefficients * Homogenization of a polynomial, a mathematical operation * Homogeneous (large cardinal property) * Homogeneous coordinates, used in projective spaces * Homogeneous element and homogeneous ideal in a graded ring * Homogeneous model in model theory In statistics * Homogeneity (statistics), logically consistent data matrices * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogeneity
Homogeneity and heterogeneity are concepts often used in the sciences and statistics relating to the uniformity of a substance or organism. A material or image that is homogeneous is uniform in composition or character (i.e. color, shape, size, weight, height, distribution, texture, language, income, disease, temperature, radioactivity, architectural design, etc.); one that is heterogeneous is distinctly nonuniform in at least one of these qualities. Heterogeneous Mixtures, in chemistry, is where certain elements are unwillingly combined and, when given the option, will separate. Etymology and spelling The words ''homogeneous'' and ''heterogeneous'' come from Medieval Latin ''homogeneus'' and ''heterogeneus'', from Ancient Greek ὁμογενής (''homogenēs'') and ἑτερογενής (''heterogenēs''), from ὁμός (''homos'', “same”) and ἕτερος (''heteros'', “other, another, different”) respectively, followed by γένος (''genos'', “kind”); - ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
