} This norm is also called the supremum norm, the Chebyshev norm, the infinity norm, or, when the supremum is in fact the maximum, the max norm. The name...

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...

comprises matrices, such norms are referred to as matrix norms. Matrix norms differ from vector norms in that they must also interact with matrix multiplication...

given normed vector spaces. Informally, the operator norm ‖ T ‖ {\displaystyle \|T\|} of a linear map T : X → Y {\displaystyle T:X\to Y} is the maximum factor...

{\displaystyle L^{\infty }} -norm or maximum norm (or uniform norm) is the limit of the L p {\displaystyle L^{p}} -norms for p → ∞ . {\displaystyle p\to...

Social norms are shared standards of acceptable behavior by groups. Social norms can both be informal understandings that govern the behavior of members...

the best polynomial approximation to a continuous function under the maximum norm, also called the "minimax" criterion. This approximation leads directly...

utilized in other areas, such as power engineering. Another smooth maximum is the p-norm: ‖ ( x 1 , … , x n ) ‖ p = ( ∑ i = 1 n | x i | p ) 1 p {\displaystyle...

of norms in finite dimensions, a topologically equivalent metric is obtained if N is the taxicab norm, a p-norm, the maximum norm, or any other norm which...

In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces...

{\displaystyle \mathbb {R} ^{n}} with the maximum norm and R m {\displaystyle \mathbb {R} ^{m}} carries the Euclidean norm. More generally, the theorem fails...

a monic polynomial of degree n. It may be shown that the maximum absolute value (maximum norm) of any such polynomial is bounded from below by 21−n. This...

Hilbert space of square-integrable functions on the interval. But if the maximum norm is used, the closed linear span will be the space of continuous functions...

\left(A_{n}\right)} converges to the matrix A {\displaystyle A} (in the maximum norm or Frobenius norm, say), then ( A n ) + {\displaystyle (A_{n})^{+}} need not converge...

equality, so the 0-norm counts the number of unequal points. For p = ∞ the largest number dominates, and thus the ∞-norm is the maximum difference. The mean...

important, because it is exactly the Euclidean norm. the ∞ {\displaystyle \infty } -norm or maximum norm, defined by ‖ x ‖ ∞ := max { x 1 , … , x n } {\displaystyle...

Schatten norm (or Schatten–von-Neumann norm) arises as a generalization of p-integrability similar to the trace class norm and the Hilbert–Schmidt norm. Let...

Maximum life span (or, for humans, maximum reported age at death) is a measure of the maximum amount of time one or more members of a population have...

deviation, L∞ norm statistics: the mid-range minimizes the maximum absolute deviation trimmed L∞ norm statistics: for example, the midhinge (average of first...

of the functions in the Haar system on [0, 1], chosen to have norm 1 in the maximum norm. This system begins with s0 = 1, then s1(t) = t is the indefinite...

_{n}(T)+1)\left\|f-p^{*}\right\|.} We will here prove this statement with the maximum norm. ‖ f − X ( f ) ‖ ≤ ‖ f − p ∗ ‖ + ‖ p ∗ − X ( f ) ‖ {\displaystyle \|f-X(f)\|\leq...

the dual norm is a measure of size for a continuous linear function defined on a normed vector space. Let X {\displaystyle X} be a normed vector space...

functional analysis, a Banach space (pronounced [ˈbanax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that...

functions using polynomials when the merit function is the maximum difference (uniform norm). Its discovery is attributed to Chebyshev. Let f {\displaystyle...

{\displaystyle \textstyle u} are measured by more general norms involving averages, not just the maximum norm. Additional assumptions on the domain are needed...

{\|b\|}{\left\|A^{-1}b\right\|}}.} The maximum value (for nonzero b and e) is then seen to be the product of the two operator norms as follows: max e , b ≠ 0 { ‖...

T-norm fuzzy logics are a family of non-classical logics, informally delimited by having a semantics that takes the real unit interval [0, 1] for the system...

sorted according to increasing norm x2 + y2 (sequence A001481 in the OEIS). The table is complete up to the maximum norm at the end of the table in the...

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a real coordinate space where the distance...

{\displaystyle |f(x)-x|\leq \varepsilon } , where here |.| denotes the maximum norm. That is, all d coordinates of the difference f ( x ) − x {\displaystyle...