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  2. Homogeneity and heterogeneity - Wikipedia

    en.wikipedia.org/wiki/Homogeneity_and_heterogeneity

    Homogeneity and heterogeneity; only ' b ' is homogeneous Homogeneity and heterogeneity are concepts relating to the uniformity of a substance, process or image.A homogeneous feature 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 ...

  3. Homogeneity (physics) - Wikipedia

    en.wikipedia.org/wiki/Homogeneity_(physics)

    Brass is an example of an alloy, being a homogeneous mixture of copper and zinc. Another example is steel, which is an alloy of iron with carbon and possibly other metals. The purpose of alloying is to produce desired properties in a metal that naturally lacks them. Brass, for example, is harder than copper and has a more gold-like color.

  4. Homogeneous function - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_function

    A norm over a real vector space is an example of a positively homogeneous function that is not homogeneous. A special case is the absolute value of real numbers. The quotient of two homogeneous polynomials of the same degree gives an example of a homogeneous function of degree zero. This example is fundamental in the definition of projective ...

  5. Homogeneous relation - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_relation

    Some important properties that a homogeneous relation R over a set X may have are: Reflexive for all x ∈ X, xRx. For example, ≥ is a reflexive relation but > is not. Irreflexive (or strict) for all x ∈ X, not xRx. For example, > is an irreflexive relation, but ≥ is not. Coreflexive for all x, y ∈ X, if xRy then x = y. [7]

  6. Homogeneity and heterogeneity (statistics) - Wikipedia

    en.wikipedia.org/wiki/Homogeneity_and...

    There are then questions as to whether, if the records are combined to form a single longer set of records, those records can be considered homogeneous over time. An example of homogeneity testing of wind speed and direction data can be found in Romanić et al., 2015. [9]

  7. Homogeneous differential equation - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_differential...

    A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written (,) = (,), where f and g are homogeneous functions of the same degree of x and y. [1] In this case, the change of variable y = ux leads to an equation of the form

  8. Thermodynamic system - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_system

    Pressures and temperatures tend to equalize, and matter arranges itself into one or a few relatively homogeneous phases. A system in which all processes of change have gone practically to completion is considered in a state of thermodynamic equilibrium. [3] The thermodynamic properties of a system in equilibrium are unchanging in time.

  9. Miscibility - Wikipedia

    en.wikipedia.org/wiki/Miscibility

    Diesel fuel is immiscible in water.The bright rainbow pattern is the result of thin-film interference.. Miscibility (/ ˌ m ɪ s ɪ ˈ b ɪ l ɪ t i /) is the property of two substances to mix in all proportions (that is, to fully dissolve in each other at any concentration), forming a homogeneous mixture (a solution).