Product of Vector Spaces
Starting from n vector spaces, or a countably infinite collection of them, each with the same field, we can define the product space like above.
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Famous quotes containing the words product of, product and/or spaces:
“Evil is committed without effort, naturally, fatally; goodness is always the product of some art.”
—Charles Baudelaire (1821–1867)
“Humour is the describing the ludicrous as it is in itself; wit is the exposing it, by comparing or contrasting it with something else. Humour is, as it were, the growth of nature and accident; wit is the product of art and fancy.”
—William Hazlitt (1778–1830)
“In any case, raw aggression is thought to be the peculiar province of men, as nurturing is the peculiar province of women.... The psychologist Erik Erikson discovered that, while little girls playing with blocks generally create pleasant interior spaces and attractive entrances, little boys are inclined to pile up the blocks as high as they can and then watch them fall down: “the contemplation of ruins,” Erikson observes, “is a masculine specialty.””
—Joyce Carol Oates (b. 1938)