In number theory, the arithmetic derivative, or number derivative, is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a function that is used in mathematical analysis.
Read more about Arithmetic Derivative: Definition, Average Order, Inequalities and Bounds, Relevance To Number Theory
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“O! O! another stroke! that makes the third.
He stabs me to the heart against my wish.
If that be so, thy state of health is poor;
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—A.E. (Alfred Edward)
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—Henry David Thoreau (1817–1862)