Direct sum

The direct sum is an operation from abstract algebra, a branch of mathematics. As an example, consider the direct sum $\mathbf{R} \oplus \mathbf{R}$ , where $\mathbf{R}$ is the set of real numbers. $\mathbf{R} \oplus \mathbf{R}$ is the Cartesian plane, the xy-plane from elementary algebra. In general, the direct sum of two objects is another object of the same type, so the direct sum of two geometric objects is a geometric object and the direct sum of two sets is a set.

单词	Direct sum of representations
释义	Direct sum of representations 英语百科 Direct sum The direct sum is an operation from abstract algebra, a branch of mathematics. As an example, consider the direct sum $\mathbf{R} \oplus \mathbf{R}$ , where $\mathbf{R}$ is the set of real numbers. $\mathbf{R} \oplus \mathbf{R}$ is the Cartesian plane, the xy-plane from elementary algebra. In general, the direct sum of two objects is another object of the same type, so the direct sum of two geometric objects is a geometric object and the direct sum of two sets is a set.
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Direct sum of representations

Direct sum