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

In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows...

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...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

In mathematics, the linear span (also called the linear hull or just span) of a set S {\displaystyle S} of elements of a vector space V {\displaystyle...

2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and, for example, permits...

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose...

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism,...

⋯ = k (for details see Ratio). Proportionality is closely related to linearity. Given an independent variable x and a dependent variable y, y is directly...

a mathematical model whose requirements and objective are represented by linear relationships. Linear programming is a special case of mathematical programming...

In mathematics, a linear combination or superposition is an expression constructed from a set of terms by multiplying each term by a constant and adding...

In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete...

retains the same structure. While modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces...

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...

In mathematics, and more specifically in linear algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector...

_{j}} such that the model function "best" fits the data. In linear least squares, linearity is meant to be with respect to parameters β j , {\displaystyle...

In mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation...

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as the set of...

a set of mathematical objects together with one or several operations defined on that set. It is a generalization of elementary and linear algebra since...

Linear prediction is a mathematical operation where future values of a discrete-time signal are estimated as a linear function of previous samples. In...

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

up linear in Wiktionary, the free dictionary. Linear is used to describe linearity in mathematics. Linear may also refer to: Linear algebra Linear code...

In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors...

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...

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example...

In mathematics, a set B of elements of a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite...

statistical data. Specific mathematical techniques that are commonly used in statistics include mathematical analysis, linear algebra, stochastic analysis...

equations Mathematical models are of different types: Linear vs. nonlinear. If all the operators in a mathematical model exhibit linearity, the resulting...

Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria...

In mathematics, a map or mapping is a function in its general sense. These terms may have originated as from the process of making a geographical map:...