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Definition of Direct sum
1. Noun. A union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets.
Lexicographical Neighbors of Direct Sum
Literary usage of Direct sum
Below you will find example usage of this term as found in modern and/or classical literature:
1. Proceedings of the London Mathematical Society by London Mathematical Society (1908)
"An algebra can be expressed uniquely as the direct sum of two algebras, one of
which has a modulus, and the other no modulus and no integral sub-algebra ..."
2. Geometric Structures in Nonlinear Physics by Robert Hermann (1991)
"If such a direct sum is given, we can define another ‘Integrability Tensor' as
follows. Let: ir(W): V(X) -->W (1.28) be the projection map ..."
3. Spinors, Clifford, and Cayley Algebras by Robert Hermann (1974)
"(In the older literature, “tensor product” is called “Kronecker product”).
Let A1, A2 be algebras over a field K. Definition. The direct sum of A1, A2, ..."
4. Constrained Mechanics and Lie Theory by Robert Hermann (1992)
"If such a direct sum is given, we can define another version of the ‘Integrability
Tensor' as follows. Let: p(W): V(X) -->W (2.9) be the projection map onto ..."
5. Topics in Physical Geometry by Robert Hermann (1988)
"... on M . One shows readily that in this case V is non-characteristic if and only
p 1 if V is non-characteristic, and if and only if X is the direct sum of ..."
6. Cartanian Geometry, Nonlinear Waves, and Control Theory. by Robert Hermann (1980)
"direct sum OF VECTOR SPACES AND TENSOR PRODUCT OF FOCK SPACES The Boson Pock
space construction presented in Section 9 ..."
Other Resources:
