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  2. Support (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Support_(mathematics)

    The essential support of a function depends on the measure as well as on , and it may be strictly smaller than the closed support. For example, if : [,] is the Dirichlet function that is on irrational numbers and on rational numbers, and [,] is equipped with Lebesgue measure, then the support of is the entire interval [,], but the essential ...

  3. Support (measure theory) - Wikipedia

    en.wikipedia.org/wiki/Support_(measure_theory)

    In mathematics, the support (sometimes topological support or spectrum) of a measure on a measurable topological space (, ⁡ ()) is a precise notion of where in the space the measure "lives". It is defined to be the largest ( closed ) subset of X {\displaystyle X} for which every open neighbourhood of every point of the set has positive measure.

  4. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    For example, , (,) is a projection and its restriction to a graph of a function, say, is also a projection. The terms “idempotent operator” and “forgetful map” are also synonyms for a projection.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Examples of unexpected applications of mathematical theories can be found in many areas of mathematics. A notable example is the prime factorization of natural numbers that was discovered more than 2,000 years before its common use for secure internet communications through the RSA cryptosystem. [127]

  6. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    For example, the real smooth functions with a compact support (that is, they are zero outside some compact set) form a function space that is at the basis of the theory of distributions. Function spaces play a fundamental role in advanced mathematical analysis, by allowing the use of their algebraic and topological properties for studying ...

  7. Worksheet - Wikipedia

    en.wikipedia.org/wiki/Worksheet

    A worksheet, in the word's original meaning, is a sheet of paper on which one performs work. They come in many forms, most commonly associated with children's school work assignments, tax forms, and accounting or other business environments. Software is increasingly taking over the paper-based worksheet.

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  9. Support function - Wikipedia

    en.wikipedia.org/wiki/Support_function

    The support function is a convex function on . Any non-empty closed convex set A is uniquely determined by h A. Furthermore, the support function, as a function of the set A, is compatible with many natural geometric operations, like scaling, translation, rotation and Minkowski addition. Due to these properties, the support function is one of ...

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