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...
34 KB (5,967 words) - 23:34, 15 June 2024
linear function Linear approximation Linear interpolation Discontinuous linear map Linear least squares "The term linear function means a linear form...
5 KB (651 words) - 22:20, 16 August 2024
related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector...
30 KB (4,788 words) - 07:22, 7 February 2024
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...
64 KB (7,780 words) - 04:31, 11 August 2024
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...
13 KB (2,140 words) - 03:38, 27 September 2024
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...
70 KB (6,067 words) - 02:16, 20 October 2024
mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial....
12 KB (1,634 words) - 22:12, 7 June 2024
isotropic quadratic form. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory...
33 KB (4,566 words) - 03:12, 28 September 2024
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)...
22 KB (2,702 words) - 18:08, 12 September 2024
Bounded operator (redirect from Bounded Linear Form)
In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y {\displaystyle L:X\to Y} between topological...
15 KB (2,471 words) - 12:14, 16 July 2024
conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution...
75 KB (10,420 words) - 11:59, 15 October 2024
Baker's theorem (redirect from Linear form in logarithms)
discipline, Baker's theorem gives a lower bound for the absolute value of linear combinations of logarithms of algebraic numbers. Nearly fifteen years earlier...
21 KB (3,411 words) - 00:01, 28 April 2024
In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete...
10 KB (1,544 words) - 19:39, 27 August 2024
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 subject...
61 KB (6,668 words) - 12:34, 5 October 2024
In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <...
7 KB (1,228 words) - 16:54, 8 September 2024
Homogeneous polynomial (redirect from Algebraic form)
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...
6 KB (1,039 words) - 12:03, 7 February 2024
contains Linear B Unicode characters. Without proper rendering support, you may see question marks, boxes, or other symbols instead of Linear B. Linear B is...
127 KB (9,357 words) - 14:54, 20 October 2024
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...
34 KB (4,653 words) - 14:59, 17 October 2024
In linear algebra, a matrix is in row echelon form if it can be obtained as the result of Gaussian elimination. Every matrix can be put in row echelon...
16 KB (2,913 words) - 15:30, 6 October 2024
Gauss–Markov theorem (redirect from Best linear unbiased estimator)
the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression model are uncorrelated, have equal variances...
28 KB (4,717 words) - 00:34, 30 September 2024
Pentose (section Cyclic form)
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...
8 KB (794 words) - 18:13, 24 October 2023
results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). The concept of linear combinations...
18 KB (2,664 words) - 18:17, 4 September 2024
generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model...
31 KB (4,224 words) - 09:57, 24 April 2024
In linear algebra, the Hermite normal form is an analogue of reduced echelon form for matrices over the integers Z. Just as reduced echelon form can be...
14 KB (1,744 words) - 18:30, 4 August 2024
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...
31 KB (3,186 words) - 06:11, 24 September 2024
Hexose (section Cyclic forms)
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...
16 KB (1,905 words) - 20:22, 28 September 2024
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...
10 KB (1,446 words) - 10:57, 17 August 2024
In mathematics, linearization is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order...
9 KB (1,443 words) - 13:55, 5 July 2024
Symplectic vector space (redirect from Linear symplectic space)
symplectic bilinear form. A symplectic bilinear form is a mapping ω : V × V → F {\displaystyle \omega :V\times V\to F} that is Bilinear Linear in each argument...
15 KB (2,275 words) - 11:50, 14 August 2024
Algebra (section Linear algebra)
Nullstellensatz Hilbert's syzygy theorem Hopf algebra Lattice (group) Lie group Linear form Linear subspace Matrix decomposition Multilinear map Non-associative algebra...
136 KB (13,509 words) - 11:04, 20 October 2024