Армия обороны Израиля начала масштабную серию ударов по Ирану02:17
gives an error at compile-time or runtime, but never segfaults or has other
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«Европа бьет сама по себе». Страну НАТО заподозрили в организации атаки на российский газовоз. Новые подробности атаки на судно20:45
This module will be the most complex one. In this chapter, I’m simulating a design process, so please bear in mind that such a process is not only incremental, but also iterative and adaptive. That’s why during this iteration we will see how the design of this module affects the two previous module designs.
For the Poincaré half-space model in dimension 2, the metric evaluates on the coordinate tangent vectors \(\frac{\partial}{\partial x}, \frac{\partial}{\partial y} \in T_pM\) as \[g_p\!\left(\frac{\partial}{\partial x^i}\bigg|_p,\;\frac{\partial}{\partial x^j}\bigg|_p\right) = \frac{1}{y^2}\,\delta_{ij},\] i.e. the coordinate tangent vectors are orthogonal and each has length \(\frac{1}{y}\) — shrinking to zero as \(p\) approaches the boundary \(y\to 0\), which is what makes the space “infinitely large” near the boundary.