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Taylor series gif   123 down vote A visual explanation of a Taylor series:  f(0)+f′(0)1!x+f′′(0)2!x2+f(3)(0)3!x3+⋯f(0)+f′(0)1!x+f″(0)2!x2+f(3)(0)3!x3+⋯ or  f(a)+f′(a)1!(x−a)+f′′(a)2!(x−a)2+f(3)(a)3!(x−a)3+⋯

Similar to Fourier series, Taylor series is an expansion of an infinitely differentiable function about a point. A variation of Taylor series, called as Maclaurin Series taken about the point

The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the radiuses of the circles to make the picture work. Decomposing signals like this lies at the heart of a lot of signal processing.

The smooth motion of rotating circles can be used to build up any repeating curve even one as angular as a digital square wave. Each circle spins at a multiple of a fundamental frequency, and a method called Fourier analysis shows how to pick the.

The osculating circle at a point on a moving sine wave. This is the circle that best approximates the curve at the point. [more] [code]

matthen: The osculating circle at a point on a moving sine wave. This is the circle that best approximates the curve at the point.

try-and-touch-my-asymptote:  scienceisbeauty:  One of the answers to the topic: Visually stunning math concepts which are easy to explain at...

One of the answers to the topic: Visually stunning math concepts which are easy to explain at Mathematics Stack Exchange.

Hypotrochoid Images1-2-3-4: a:b:c = 4:2:½;  a:b:c... - MATHEMATICS & NATURE

Hypotrochoid a:b:c = a:b:c = a:b:c = a:b:c = (Gif: Hypotrochoid by Tokioka) And I illustrated some pictures to explain for the equation above (The equation of.

Fourier series of square wave

Since I'm not that good at (as I like to call it) 'die-hard-mathematics', I've always liked concepts like the golden ratio or the dragon curve, which are easy to understand and explain, but are

Tangent Explained! Gif source. Have you ever wondered what the tangent function actually has to do with the tangent of a circle?

Have you ever wondered what the tangent function actually has to do with the tangent of a circle? I’ve seen this gif floating around the web a couple of times, but I’ve never actually understood it until today.