Wikipedia Related to matrix algebra:matrix multiplication ThesaurusAntonymsRelated WordsSynonymsLegend: Switch tonew thesaurus Noun1.matrix algebra- the part of algebra that deals with the theory of matrices diagonalisation,diagonalization- changing a square matrix to diagonal form (with all non-zero elem...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Rota–Baxter algebra is an algebra, usually over a field k, together with a particular k-linear map R which satisfies the weight-θ Rota–Baxter id...
For any Lie algebra g over a ring k, the Lie algebra homology of g, written [H.sup.Lie.sub.*](g, k), is the homology of the chain complex [[conjunction].sup.*](g) which was introduced by Chevalley and Eilenberg in [8]; namely, Calculations on Lie Algebra of the Group of Aff...
The term "variety of algebras" refers to algebras in the general sense of universal algebra; there is also a more specific sense of algebra, namely as algebra over a field, i.e. a vector space equipped with a bilinear multiplication. Definition A signature (in this context) is a set, wh...
As a more mathematical application of equation 3, reference 6 calculates the field surrounding a long straight wire. The ideas of torque, angular momentum, and gyroscopic precession are particularly easy to understand when expressed in terms of bivectors, as mentioned in section ...
In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that [Math Processing Error] and satisfies the Malcev identity [Math Processing Error] They were first defined by Anatoly Maltsev (1955). ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a quaternion algebra over a field F is a central simple algebra A over F[1][2] that has dimension 4 over F. Every quaternion algebra becomes the ...
The definition makes sense for any vector space V which allows the notion of "positive scalar" (i.e., where the ground field is an ordered field), such as spaces over the rational, real algebraic, or (most commonly) real numbers. 展开 ...
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因此,在Field上,可以定义divide: ax=b, a!=0的解是x=b/a=a^{-1}b。任意两个元素都是associate的。 显然,Q,R和C都是field。易证,Field没有zero divisor,所以所有field都是domain。 Theorem. (Finite Fields) All finite domains are fields.