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Multiplicative calculus : ウィキペディア英語版 | Multiplicative calculus
In mathematics, a multiplicative calculus is a system with two multiplicative operators, called a "multiplicative derivative" and a "multiplicative integral", which are inversely related in a manner analogous to the inverse relationship between the derivative and integral in the classical calculus of Newton and Leibniz. The multiplicative calculi provide alternatives to the classical calculus, which has an additive derivative and an additive integral. There are infinitely many non-Newtonian multiplicative calculi, including the geometric calculus and the bigeometric calculus discussed below.〔Michael Grossman and Robert Katz. (''Non-Newtonian Calculus'' ), ISBN 0912938013, 1972.〕 These calculi all have a derivative and/or integral that is not a linear operator. The geometric calculus is useful in biomedical image analysis.〔Luc Florack and Hans van Assen.("Multiplicative calculus in biomedical image analysis" ), Journal of Mathematical Imaging and Vision, DOI: 10.1007/s10851-011-0275-1, 2011.〕〔〔〔 ==Multiplicative derivatives==
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