MATH 2ZZ3 Lecture Notes - Lecture 3: Osculating Plane, Curve, Q.E.D.
13 Oct 2016
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Recall: the fourier series of a function defines a periodic function with a fundamental period, Thus, you can re-write the series in the following way: n c e in x n. , where is the fundamental angular frequency. p= , are called the frequency spectrum of f. e. g. 1) Find the frequency spectrum of the periodic wave that is the periodic extension of f x. First, you need to find the fourier coefficients. Page 2 of 13 f t g t h t t g t h t f r t t r. Chain rule: if r is a differentiable vector function and s u t is a differentiable scalar function, then d r d t. Note: d s d r d d s t s u t r r=r. 2,r r be differentiable vector functions and ( )u t. Let 1 following properties are all derived from properties of scalar functions. is a differentiable vector function.
