Word Explorer

Linear space

💡 Words with a Similar Meaning to "Linear space"

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

WordDefinition
dual spacenoun(mathematics) The vector space which comprises the set of linear functionals of a given vector space.
vector spacenoun(algebra, geometry, topology) A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field.
real vector spacenoun(linear algebra, mathematical analysis) A vector space over the field of real numbers.
linear subspacenoun(linear algebra) A subset of vectors of a vector space which is closed under the addition and scalar multiplication of that vector space.
row spacenoun(mathematics) The vector space generated by all the row vectors of a matrix.
column spacenoun(mathematics) The vector space generated by all the column vectors of a matrix
linear spannoun(linear algebra) A linear subspace generated by all linear combinations of a given subset of vectors of a given vector space.
n spacenoun(mathematics) n-dimensional Euclidean space
linear functionalnoun(mathematics) A linear mapping from a vector space to its field of scalars.
nullspacenoun(mathematics) The kernel of a linear map between two vector spaces or two modules.
linear sumnoun(linear algebra) A linear subspace which is the linear span of the union of two subspaces (of some vector space).
linear transformationnoun(linear algebra) A map between vector spaces which preserves the operations of vector addition and scalar multiplication.
vectornoun(mathematics, physics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
euclidean spacenounOrdinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
spannounThe full width of an open hand from the end of the thumb to the end of the little finger used as an informal unit of length.
scalar functionnoun(mathematics) Any function whose domain is a vector space and whose value is its scalar field
basisnounA starting point, base or foundation for an argument or hypothesis.
normed vector spacenoun(mathematics) A vector space which is additionally equipped with a norm.
linear algebranoun(mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
dualCharacterized by having two (usually equivalent) components.

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