### Some articles on *vector spaces, vector space, vectors, vector, spaces, space*:

Super Linear Algebra - Scope of Study -

... The main structures of linear algebra are

**Vector Spaces**... The main structures of linear algebra are

**vector spaces**... A**vector space**over a field F is a set V together with two binary operations ... Elements of V are called**vectors**and elements of F are called scalars ...Reductive Dual Pair - Structure Theory and Classification

... Thus W is a symplectic

... Thus W is a symplectic

**vector space**over F ... If W1 and W2 are two symplectic**vector spaces**and (G1, G′1), (G2, G′2) are two reductive dual pairs in the corresponding symplectic groups, then we may form a new symplectic**vector space**W ... Let U and V be two**vector spaces**over F, X = U ⊗F V be their tensor product, and Y = HomF(X, F) its dual ...Basis (universal Algebra) - Examples - Vector Space Algebras

... When the

... When the

**vector space**is finite-dimensional, for instance with, the functions in the set L of the outer condition exactly are the ones that provide the spanning and linear independence ... which becomes equivalent to it in such**vector spaces**... square arrays of field numbers (namely, usual**vector**-space square matrices) that serve to build the endomorphisms of**vector spaces**(namely, linear maps into themselves) ...Latent Semantic Indexing - Querying and Augmenting LSI

... The computed Tk and Dk matrices define the term and document

**Vector Spaces**... The computed Tk and Dk matrices define the term and document

**vector spaces**, which with the computed singular values, Sk, embody the conceptual information ... The similarity of terms or documents within these**spaces**is a factor of how close they are to each other in these**spaces**, typically computed as a ... The same steps are used to locate the**vectors**representing the text of queries and new documents within the document**space**of an existing LSI index ...Supermodule

... be viewed as generalizations of super

... be viewed as generalizations of super

**vector spaces**over a (purely even) field K ... often play a more prominent role in super linear algebra than do super**vector spaces**... In doing so one moves from fields to commutative superalgebras and from**vector spaces**to modules ...### Famous quotes containing the word spaces:

“Le silence éternel de ces espaces infinis m’effraie. The eternal silence of these infinite *spaces* frightens me.”

—Blaise Pascal (1623–1662)

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