direct product

noun Mathematics.
a group, or other such system, every element of which can be written uniquely as the product of elements of disjoint groups, with each group contributing one element to the product.

Origin:
1920–25

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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The evidence must reflect that the statement was spontaneous, excited, or impulsive as a direct product of the event itself.
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