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Convexity of polar curves
Everybody knows the second derivative test for the convexity of Cartesian curves . What is the convexity test for polar curves ? Google search brought up Robert Israel’s answer on Math.SE: the relevant...
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Condition number and maximal rotation angle
The condition number of an invertible matrix is the product of norms , or, in deciphered form, the maximum of the ratio taken over all unit vectors . It comes up a lot in numerical linear algebra and...
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Bounded convex function with no continuous boundary extension
Suppose is a convex function on a bounded convex domain . Does it have a continuous extension to ? Of course not if is unbounded, like on the interval . So let’s assume is bounded. Then the answer is...
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