- #1

WMDhamnekar

MHB

- 378

- 28

I don't understand the following definition. If we let $u=\langle u,v \rangle$ , $p=\langle p,q\rangle,$ $x=\langle x,y \rangle$,then (x,y)=T(u,v) is given in vector notation by

**x**=T(**u**). A coordinate transformation T(**u**) is differentiable at a point**p**, if there exists a matrix J(**p**) for which $\lim_{u\to p}\frac {||T(u)-T(p)-J(p)(u-p)||}{||u-p||}=0.$when it exists, J(**p**) is the total derivative of T(**u**). What does this symbol || || indicate?
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