Properties of Simple Functions
By definition, the sum, difference, and product of two simple functions are again simple functions, and multiplication by constant keeps a simple function simple; hence it follows that the collection of all simple functions on a given measurable space forms a commutative algebra over .
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—Ralph Waldo Emerson (1803–1882)
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—John Locke (1632–1704)
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—Ralph Waldo Emerson (1803–1882)
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—Terri Apter (20th century)