c. Cusps, which are infinitely sharp corners. A cusp is a point where you have a vertical tangent, but with the following property: on one side the derivative is $+\infty$ , on the other side the derivative is $-\infty$ .

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2017年9月14日 · A regular continuous curve. In second curve with a corner it has first degree contact i.e., same $(x,y ...

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2017年9月26日 · While corners and cusps as singular points. Corners are those singular points where we have two different tangent lines and cusps are singular points where we have one tangent line. In terms of functions, I would say: Corner: if the graph of the function has two different left/right tangent lines

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2014年12月16日 · First of all, there is a nice way of considering curves that have a limited "sharpness" to them. In particular, when (continuous) curves have a maximum "sharpness" that they achieve, we say that they are Lipschitz continuous. Moreover, their sharpness is bounded by something called a "Lipschitz constant".

The absolute value function is continuous. ... There is a mathematical way to deal with sharp edges or cusps,

The moduli space of 1-complex dimensional tori (of area 1) is (geometrically) a non-compact orbifold.The non-compactness comes from the fact that on a torus, one may decrease the length of a closed curve down to zero.

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