Gemini, Multimodal Prompting, Text, Image, Chat.
the Markov chain at time n. x_n is a particular value of the state at time n. P(X_n = x_n | X_0 = x_0, X_1 = x_1, ..., X_{n-1} = x_{n-1}) is the probability of the Markov chain being in state x_n at time n, given that it started in state x_0 at time 0 and visited states x_1, x_2, ..., x_{n-1} in