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I noticed for the first time today that there is a (block-design) tag, with no description and 12 questions. It seems that this tag is completely redundant, as there is already a (combinatorial-designs) tag (which does have a description, 154 questions, and is the exact same thing). Should this t...
If
$a_k = c^k-1$,
where $c > 1$,
what can be said about
$s(n)
=\sum_{k=1}^n \dfrac{a_k}{a_{k+1}}
$?
This is a generalization of
$a_n=3^n-1$, prove that $\frac{a_1}{a_2}+\frac{a_2}{a_3}+\dots+\frac{a_n}{a_{n+1}}>\frac{n}{3}-\frac{1}{8}.$
which is the case
$c=3$.
I can show that
$\dfrac{n}{c}-\df...
I am trying to use CVXPY on a mixed-integer program. One of my constraints is of the form
$$y = \begin{cases} g(x) & f(x)\geqslant m\\ 0 & \text{otherwise} \end{cases}$$
for affine functions $f$ and $g$. My construction is $y=\mathbb{I}_{\{f(x)\geqslant m\}}\cdot g(x)$, where I can linearize t...
