# Taylor series

(redirected from*Series expansion*)

## Taylor series

[′tā·lər ‚sir·ēz] (mathematics)

The Taylor series corresponding to a function ƒ(

*x*) at a point*x*_{0}is the infinite series whose*n*th term is (1/*n*!)·ƒ^{(n)}(*x*_{0})(*x*-*x*_{0})^{ n }, where ƒ^{(n)}(*x*) denotes the*n*th derivative of ƒ(*x*). (naval architecture)

Resistance charts based upon model tests of a series of ships derived by altering the proportions of a single parent form; used to study the effects of these alterations on resistance to the ship's motion, and to predict the powering requirements for new ships.

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