In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars...

related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector...

In mathematics, a linear equation is an equation that may be put in the form a 1 x 1 + … + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0...

linear function Linear approximation Linear interpolation Discontinuous linear map Linear least squares "The term linear function means a linear form...

bounded linear operator is a special kind of linear transformation that is particularly important in infinite dimensions. In finite dimensions, a linear transformation...

Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...

discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. Nearly fifteen years earlier...

which are called scalars). In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately: B(u + v, w) = B(u, w)...

mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial....

functional analysis, a positive linear functional on an ordered vector space ( V , ≤ ) {\displaystyle (V,\leq )} is a linear functional f {\displaystyle f}...

it is isotropic. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal...

form of degree 1 is a linear form. A form of degree 2 is a quadratic form. In geometry, the Euclidean distance is the square root of a quadratic form...

the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances...

Mycenaeans to write an early form of Greek. It was discovered by the archaeologist Sir Arthur Evans in 1900. No texts in Linear A have yet been deciphered...

smallest) value if such a point exists. Linear programs are problems that can be expressed in standard form as: Find a vector x that maximizes c T x...

a binary form is a polynomial in the coefficients of a binary form in two variables x and y that remains invariant under the special linear group acting...

subfield (and sometimes even the author). In linear algebra, it is synonymous with a linear form, which is a linear mapping from a vector space V {\displaystyle...

aldohexoses are a subclass of the hexoses which, in the linear form, have the carbonyl at carbon 1, forming an aldehyde derivative with structure H−C(=O)−(CHOH)5−H...

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <...

exist in two forms, open-chain (linear) or closed-chain (cyclic), that easily convert into each other in water solutions. The linear form of a pentose...

are known: a linear form with double bonds and charge transfer, and a cyclic form. Both forms are highly unstable, though the linear form is the more stable...

bilinear form On vector space V over field K, a bilinear form is a function B : V × V → K {\displaystyle B:V\times V\to K} that is linear in each variable...

specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function)...

In mathematics, specifically linear algebra, a degenerate bilinear form f (x, y ) on a vector space V is a bilinear form such that the map from V to V∗...

conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution...

with molecular formula C5H10O5 and the linear-form composition H−(C=O)−(CHOH)4−H. The naturally occurring form, d-ribose, is a component of the ribonucleotides...

Schwartz developed the theory of distributions, where it is defined as a linear form acting on functions. The graph of the Dirac delta is usually thought...

specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is...

alkyl substituent with chemical formula −CH2CH2CH3 for the linear form. This substituent form is obtained by removing one hydrogen atom attached to the...

In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of...