The fundamental group of \(X\) at \(x_0\) is \[\pi_1(X, x_0) \;:=\; \bigl\{[\gamma] \mid \gamma \text{ is a loop based at } x_0\bigr\}\] equipped with the group operation of concatenation: \[[\gamma] \cdot [\delta] := [\gamma * \delta], \qquad (\gamma * \delta)(s) := \begin{cases} \gamma(2s) & s \in [0,\tfrac{1}{2}] \\ \delta(2s-1) & s \in [\tfrac{1}{2},1] \end{cases}\] The identity element is the class of the constant loop \([c_{x_0}]\), and the inverse of \([\gamma]\) is \([\bar\gamma]\) where \(\bar\gamma(s) := \gamma(1-s)\).
Suck Up! Players are vampires trying to convince AI-based characters to let them in. Another version of conversation as gameplay. Look, I’m not going to tell you that I also thought of this game years ago and tried it out and it wasn’t good, because I didn’t. But you know what large language models are like, imagine doing a “funny” improv game with one.
，这一点在电影中也有详细论述
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Силовые структуры