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  2. Norm (mathematics) - Wikipedia

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

    In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.

  3. Matrix norm - Wikipedia

    en.wikipedia.org/wiki/Matrix_norm

    Suppose a vector norm ‖ ‖ on and a vector norm ‖ ‖ on are given. Any matrix A induces a linear operator from to with respect to the standard basis, and one defines the corresponding induced norm or operator norm or subordinate norm on the space of all matrices as follows: ‖ ‖, = {‖ ‖: ‖ ‖ =} = {‖ ‖ ‖ ‖:}. where denotes the supremum.

  4. Operator norm - Wikipedia

    en.wikipedia.org/wiki/Operator_norm

    In mathematics, the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces .

  5. Norm - Wikipedia

    en.wikipedia.org/wiki/Norm

    Operator norm, a map that assigns a length or size to any operator in a function space; Norm (abelian group), a map that assigns a length or size to any element of an abelian group; Field norm a map in algebraic number theory and Galois theory that generalizes the usual distance norm; Ideal norm, the ideal-theoretic generalization of the field norm

  6. Normed vector space - Wikipedia

    en.wikipedia.org/wiki/Normed_vector_space

    In mathematics, a normed vector space or normed space is a vector space over the real or complex numbers on which a norm is defined. [1] A norm is a generalization of the intuitive notion of "length" in the physical world.

  7. Regularization (mathematics) - Wikipedia

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

    The norm (see also Norms) can be used to approximate the optimal norm via convex relaxation. It can be shown that the L 1 {\displaystyle L_{1}} norm induces sparsity. In the case of least squares, this problem is known as LASSO in statistics and basis pursuit in signal processing.

  8. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/lifestyle/10-hard-math-problems-even...

    The Kissing Number Problem. A broad category of problems in math are called the Sphere Packing Problems. They range from pure math to practical applications, generally putting math terminology to ...

  9. Category:Norms (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Category:Norms_(mathematics)

    Pages in category "Norms (mathematics)" The following 20 pages are in this category, out of 20 total. This list may not reflect recent changes. ...