How do I prove that this set is convex?
158399
Show that $\{(x_1,x_2):x_1x_2\geq4,x_1>0,x_2>0\}$ is a convex set
151637
How do we prove that this set is not manifold?
142142
Show that a convex polygon is contained within the largest circle determined by three consecutive vertices
125175
convexity proof of a function including ln and sums
94231
Prove that a non-empty closed convex $S$ has an extreme point iff it does not contain any line
113083
How to prove a set equality?
10180
How to prove that this set is closed?
17336
Least norm in convex set in Banach space
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
40403
Show that the function is convex
9451
Show bounded and convex function on $\mathbb R$ is constant
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex
21820
How to prove that a set is invariant?
88195
Minimizing quadratic objective over convex set
71829
Is closure of convex subset of $X$ is again a convex subset of $X$?
155999
How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
28391
Prove the compactness of a set B