Definitions
There is 1 meaning of the phrase
Direct Sum.
Direct Sum - as a noun
A union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets
Example Sentences
"The direct sum of two vector spaces is a new vector space that is formed by pairing corresponding elements from the original vector spaces and performing component-wise addition."
"In mathematics, the direct sum of two groups is a construction that combines the groups into a larger group."
"The direct sum of two matrices is a matrix formed by taking corresponding elements and adding them."
"A direct sum of modules is a module formed by taking the direct sum of the underlying abelian groups of the modules and defining multiplication accordingly."
"The direct sum of two subspaces is the smallest subspace that contains both of them."
