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单词 exterior product
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exterior product
exterior product n. Mathematics and Physics the mathematical operation that maps any two elements a and b of a given algebraic structure (such as a module or vector space) to the coset ab + I, where ab is the tensor product of the two vectors and I is the two-sided ideal generated by all elements of the form xx; (also) the quantity produced by this operation.The exterior product of a and b is denoted ab and has the property that ab = −(ba).
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1950 Ann. Math. 51 741 The density..is formed by the exterior product of all relative components.
1988 R. Coquereaux in Spinors in Physics & Geom.: Conf. Proc. 1986 143 The above construction shows in particular how to express a given Clifford product as a sum of exterior products.
2017 V. Pavan Exterior Algebras v. 68 The exterior products do not appear to be too huge to be calculated.
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