If you like playing daily word games like Wordle, then Hurdle is a great game to add to your routine.
Poincaré half-space model. Take the open upper half-space \[\mathbb{H}^n := \{(x_1,\dots,x_n)\in\mathbb{R}^n \mid x_n 0\}\] equipped with the Riemannian metric whose components on the coordinate tangent vectors are \[g_{ij}(p) \;=\; g_p\!\left(\frac{\partial}{\partial x_i}\bigg|_p,\; \frac{\partial}{\partial x_j}\bigg|_p\right) \;=\; \frac{1}{p_n^2}\,\delta_{ij}.\] Geodesics are semicircles (or rays) orthogonal to the boundary hyperplane \(\{x_n = 0\}\).
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分析稱，這場演說充滿自信、攻擊對手與愛國主義的號召，卻鮮少提出新政策細節，凸顯特朗普第二任期執政風格：強勢宣揚成就、淡化挫折、鮮有兩黨合作的空間。