Definition 4 (Definition: Fundamental Group) Let \(X\) be a topological space and \(x_0 \in X\) a basepoint. A loop based at \(x_0\) is a continuous map \(\gamma: [0,1] \to X\) with \(\gamma(0) = \gamma(1) = x_0\). Two loops \(\gamma, \delta\) are homotopic relative to \(x_0\) (written \(\gamma \simeq \delta\)) if there exists a continuous map \(H: [0,1] \times [0,1] \to X\) such that \[H(s,0) = \gamma(s), \quad H(s,1) = \delta(s), \quad H(0,t) = H(1,t) = x_0\] for all \(s,t \in [0,1]\). This is an equivalence relation; denote the equivalence class of \(\gamma\) by \([\gamma]\).
(lldb) di -n foo -b
。新收录的资料是该领域的重要参考
The academics largely described a mix of awe and concern, similar to what legendary investor Howard Marks described after reading a 5,000-word memo prepared for him by Claude. When asked again about being at least an AI enthusiast, if not “AI-pilled,” and yet ambivalent about how these tools will play out in practice, Hall said he’s “definitely been struggling with that.” He said he’s been most struck in his teaching by the excitement among his students, who theoretically have the most to worry about in terms of future employment prospects. His MBA students in one recent particular class were “so excited about AI,” he said, “they were over the moon at the kinds of creative things that it allows them to do.” Hall said he came away more optimistic, “not that there won’t be major disruptions, but that there are really exciting opportunities to build new things.”
“我们捐赠的这批无人消防机器人,凝聚了现代汽车集团的核心技术,是以‘拯救生命的技术’为共同目标打造的新型出行形态。”现代汽车集团执行会长郑义宣表示,“我们希望它们能成为值得信赖的战友,在他人之前进入最危险的现场,为消防员的安全保驾护航。”
。业内人士推荐新收录的资料作为进阶阅读
The 40-year-old presenter plans to cycle 630 miles (1,000km) across the UK on a tandem bike over eight days.
"Should the proposal progress, we will explore any ways to reduce or avoid redundancies where possible."。新收录的资料对此有专业解读