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Linear form

💡 Words with a Similar Meaning to "Linear form"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
linear functionalnoun(mathematics) A linear mapping from a vector space to its field of scalars.
functionalUseful; serving a purpose, fulfilling a function.
positive linear functionalnoun(mathematical analysis) A kind of linear functional which yields a non-negative scalar when given a non-negative function as parameter.
linear algebranoun(mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
bilinear formnoun(linear algebra) A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant.
bilinear(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
linear systemnounA mathematical model of a system based on the use of a linear operator.
two-formnoun(linear algebra) bilinear form
linear transformationnoun(linear algebra) A map between vector spaces which preserves the operations of vector addition and scalar multiplication.
linear functionnoun(mathematics) Any function whose graph is a straight line: f(x)=ax+b
linearitynounThe state of being linear.
linear operatornoun(mathematics, functional analysis) An operator L such that for functions f and g and scalar λ, L (f + g) = L f + L g and L λf = λ L f.
multilinear formnoun(linear algebra, multilinear algebra) Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments;
lie algebranoun(mathematics) An algebra over a field whose bilinear product is alternating (or, equivalently for a bilinear product, anticommutative) and satisfies the Jacobi identity. Such a bilinear product is called a Lie bracket.
linear independencenoun(algebra) the state of being linearly independent
linear sumnoun(linear algebra) A linear subspace which is the linear span of the union of two subspaces (of some vector space).
echelon formnoun(linear algebra) row echelon form
linearizabilitynounThe condition of being linearizable.
linearizationnounThe modification of a system such that its output is linearly dependent on its input
linear spannoun(linear algebra) A linear subspace generated by all linear combinations of a given subset of vectors of a given vector space.

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