Pipe | is typically read as ‘given that’ however can also indicate Conditional Probability
최적값을 구하려고 하는 게 항상 조건에 간다
- Semicolon ; is grand kind of comma
- means all available state
Conditional probability Notion
What does a semicolon denote in the context of probability and statistics?
I sometimes see the notation $;$ being used in a statistical context
For example, let $f_X(x)$ be the probability density function associated with random variable $X$, then sometimes I see things ...
https://math.stackexchange.com/questions/2559085/what-does-a-semicolon-denote-in-the-context-of-probability-and-statistics
What do vertical bars mean in statistical distributions?
What do the vertical bars mean in the first and third formulae?
$$v_i|z_i=k,\mu_k\sim\mathcal{N}(\mu_k, \sigma^2)$$
$$P(z_i=k)=\pi_k$$
$$\pi|\alpha\sim \text{Dir}(\alpha/K1_K)$$
$$\mu_k\sim H(\lam...
https://stats.stackexchange.com/questions/110194/what-do-vertical-bars-mean-in-statistical-distributions

Seonglae Cho