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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...

In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions ⁠ f {\displaystyle f} ⁠ defined on a set...

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

mathematics, a normed vector space or normed space is a vector space over the real or complex numbers on which a norm is defined. A norm is a generalization...

numbers can be used, although here the absolute value sign indicates the complex norm: d ( p , q ) = | p − q | . {\displaystyle d(p,q)=|p-q|.} In three dimensions...

absolute value is defined, notably an element of a normed division algebra, for example a real number, a complex number, or a quaternion. A closely related but...

spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes called Lebesgue...

defined by the norm. In this article, F denotes a field that is either the real numbers R , {\displaystyle \mathbb {R} ,} or the complex numbers C . {\displaystyle...

sub(x)'*sub(y); complex p?dotc dotc = conjg(sub(x)')*sub(y) Cauchy–Schwarz inequality Cross product Dot product representation of a graph Euclidean norm, the square-root...

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...

In quantum information, the diamond norm, also known as completely bounded trace norm, is a norm on the space of quantum operations, or more generally...

the real or complex numbers (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, that is, a normed space that...

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...

N(a+bi)=(a+bi)(a-bi)=a^{2}+b^{2}.} The norm of a Gaussian integer is thus the square of its absolute value as a complex number. The norm of a Gaussian integer is a...

In psychoanalytic literature, a Madonna–whore complex (also called a Madonna–mistress complex) is the inability to maintain sexual arousal within a committed...

real matrix representation. The norm of a quaternion (the square root of the product with its conjugate, as with complex numbers) is the square root of...

Complex modulus may refer to: Modulus of complex number, in mathematics, the norm or absolute value, of a complex number: | x + i y | = x 2 + y 2 {\displaystyle...

complex normed vector spaces do not have inner products, but all normed vector spaces have norms (by definition). For example, a commonly used norm for...

linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space. The most important...