Tagged Questions
0
votes
0answers
87 views
Decomposition of multidimensional point set
I am trying to use point sets to define the subdivisions of a multidimensional space and use a hash table to store the subvisions. This approach requires decomposing the multidimensional space into ...
0
votes
1answer
76 views
How to compute this set operation?
Suppose there are two sets (spaces) X and Y. Given N subsets of $X \times Y$: $S_1, \dots, S_N \subseteq X \times Y$. I need to compute the following set $S_X \subseteq X$:
$$
S_X = \{x \in X : ...
2
votes
3answers
64 views
Explanation of the following notation
I am having a hard time understanding the meaning of the union operation in this equation.
$$C(A)=\bigcup_{x \in A}C(x)$$
For context, here is the sentence:
The candidate set for $x$ is $S \cap ...
2
votes
3answers
174 views
What does “identity map $id$” mean?
What does "identity map $id$" mean in this context?
Two metrics $d_1$ and $d_2$ on $X$ are said to be Lipschitz equivalent if the identity map $id\colon (X,d_1)\to (X,d_2)$ is bilipschitz.
