How to remember which function is concave and which one is …
2017年7月20日 · When I took calculus, we didn't use "concave" and "convex" - rather, we (and the AP exam) used "concave up" and "concave down." I still use these as a grad student. One …
soft question - Why does "convex function" mean "concave *up ...
But then concave up should equal convex down, i.e., the curve is the top (up) part of a concave region. Concave down then equals convex up, meaning that the curve is lower part of a …
optimization - Convex problem with concave constraint
2018年1月11日 · Does it mean that my optimization problem is convex or not? I found the definition which shows that the optimization problem is convex when the objective function and …
real analysis - Difference of convexity and strict convexity ...
2018年5月14日 · $\begingroup$ The definition of a convex function involves points that are convex combinations of other points. Therefore, the definition of a convex function requires …
optimization - What does it mean to call a constraint concave ...
Very very roughly speaking: take two points in the set $\{(x, \mu) : \mu \leq g(x) = x\}$ and link them (take a convex combination of the two points). The combination will still belong (weakly) …
Is $f (x) = x^2$ a convex function? - Mathematics Stack Exchange
2017年5月15日 · Concave, convex function. ... Mean of temperature over two regions versus the sum of the mean temperatrue ...
Is linear function convex or concave? - Mathematics Stack Exchange
2013年12月18日 · Linear is supposed to be f(ax1+bx2) = af(x1) + bf(x2) where a and b are real numbers and x1 and x2 are elements of the domain/I/interval/whatever right? The definition of …
Instrinsic definition of concave and convex polyhedron
2013年9月30日 · While any polyhedron, subtending a solid angle $\Omega>2\pi$ sr at any of its vertices, is called a concave polyhedron. It is very practical that a convex polyhedron has its …
Maximizing a concave function with convex constraints.
2019年11月22日 · Consider a convex optimization with concave objective function and convex inequality constraints, affine equality constraint. How to define the following 1. Lagrangian, 2. …
What's the relationship between quadratics and convex functions
2017年3月27日 · Are all quadratic functions convex and vice versa or are quadratic functions just one type of convex function?