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| <math>F[y]=f\circ y</math>|| || ||Left composition
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| <math>F[y]=\prod y</math>|| || ||[[Indefinite product]]
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| <math>F[y]=\exp\left(\int_a^t {\ln y}\, dt\right)</math>|| || ||[[Product integral]]
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| <math>F[y]=\frac{y'}{y}</math>|| || ||[[Logarithmic derivative]]
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| <math>F[y]=e^{\frac{y'}{y}}</math>|| || ||[[Multiplicative calculus|Geometric derivative]]
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| <math>F[y]=e^{\frac{xy'}{y}}</math>|| || ||[[Multiplicative calculus|Bigeometric derivative]]
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| <math>F[y]=\int_a^t |y'| \,dt </math>|| || ||[[Total variation]]
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