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 \(\bar\gamma(s) := \gamma(1-s)\).
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So I bought a physical alarm clock. Now my phone stays in a drawer overnight, and I don't check it for the first hour after waking up. That single change broke one of the strongest habit loops that used to start my day.，这一点在搜狗输入法中也有详细论述
\nThe call is coming from inside the body\nThe idea that hundreds of species of bacteria are nestled comfortably in our intestines used to be surprising. But the gut microbiome is experiencing a kind of media heyday as people realize that its function is critical to not just how we digest our food, but also to our overall health. A little more than a decade ago, researchers showed that tinkering with rodents’ gut microbiomes affected the animals’ social and cognitive behaviors. Thaiss and Levy wondered whether a similar process could be responsible for the memory loss and cognitive troubles often associated with aging.。关于这个话题，传奇私服新开网｜热血传奇SF发布站｜传奇私服网站提供了深入分析
Россиянин отвез тела 20-летней жены и ребенка в морг и получил объяснения от врачей08:51
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