What does semi-norm mean?

Definitions for semi-norm
semi-norm

This dictionary definitions page includes all the possible meanings, example usage and translations of the word semi-norm.


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Wiktionary

  1. semi-normnoun

    A function denoted ||v|| that maps a vector v to a non-negative value such that ||cv|| = |c|.||v||, where c is a scalar, and ||v + w|| ||v|| + ||w|| (the triangle inequality); the condition that ||v|| = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm.

Wikipedia

  1. semi-norm

    In mathematics, particularly in functional analysis, a seminorm is a vector space norm that need not be positive definite. Seminorms are intimately connected with convex sets: every seminorm is the Minkowski functional of some absorbing disk and, conversely, the Minkowski functional of any such set is a seminorm. A topological vector space is locally convex if and only if its topology is induced by a family of seminorms.

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Numerology

  1. Chaldean Numerology

    The numerical value of semi-norm in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of semi-norm in Pythagorean Numerology is: 7

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"semi-norm." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/semi-norm>.

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