0
$\begingroup$

I am trying to formulate the following english sentence:

Let $v$ be a vector of dimension $9$ containing discrete data $x$ such that $x$ can only take the following values $\{-1,0,1\}$

My formulation:

Let $v = \{ x_i : x_i = \{-1,0,1\}\}_{i=1}^9$ be a discrete data vector.

Is this formulation correct?

$\endgroup$
0
$\begingroup$

What you currently have written implies each $x_i$ is a 3-vector, and $v$ is the set of all vectors equal to the vector $\{-1,0,1\}$. One modification would be to replace $=$ with $\in$, $$v = \{ x_i : x_i \in \{-1,0,1\}\}_{i=1}^9$$ Set builder notation works really well for infinite sets, but not so well for finite sets. One (not so pretty) alternative would be $$v = \{x_1, x_2,...x_9\} \quad x_i \in \{ -1,0,1\}$$

$\endgroup$
  • $\begingroup$ Thank you @Zack. For the explanation. $\endgroup$ – Hani Gotc Dec 16 '13 at 17:28

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.