Tagged Questions
4
votes
1answer
48 views
Characterisation of linearly separable points of a hypercube
Essentially, linearly separable points are just those corners that can be cut off with just one slice as marked out by a hyperplane.
E.g. for a cube, the following 4 points (red) are not linearly ...
4
votes
0answers
60 views
Linear Independence Game
Suppose you have a set $X$ of vectors in $\mathbb{F}_2^n$, with $|X| \ge n+1$, and consider the following game. On their turn, each player (2 player game) chooses from $X$ one vector and sets it aside ...
2
votes
0answers
76 views
Sorting combinations of linearly independent vectors
Given a set of $m$ vectors in $\mathbb{R}^n$ ($m > n$), sort all combinations of $n$ linearly independent vectors according to the determinant of the matrix whose columns are the $n$ vectors. ...
5
votes
0answers
148 views
Points and lines covering them
Let $n$ be a positive integer. A subset $S$ of points in plane satisfies the following conditions:
a) We can't find $n$ lines in plane, such that every element of $S$ belongs to at least one of these ...
