«Два дня назад у иранского режима было 11 кораблей в Оманском заливе, сегодня у них их ноль», — утверждает CENTCOM.
Вздремните, если хочется. Замечайте мелочи, приносящие радость. Оставайтесь близкими к природе. Я всегда спешил, пытался работать в режиме многозадачности и крутился на месте. Я потратил много времени, пытаясь не отставать от жизни. А выяснилось, что в этом не было необходимости
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Thus, despite much effort, no gelling agent has yet been discovered that possesses all the properties and benefits of agar. Agar continues to be the best all-arounder: versatile, cheap, and established. And, if Gelidium agar should ever run out, and another colloid is not at hand, microbiologists could revert to culinary agar, which, although not as pure and transparent, offers a low-cost alternative to lab-grade agar.
The same decomposition works in higher dimensions. For NNN random points on a sphere, the probability they all lie in a hemisphere is also N/2N−1N / 2^{N-1}N/2N−1. The argument is identical: anchor a hemisphere at each point, observe that each event has probability 1/2N−11/2^{N-1}1/2N−1, and verify that at most one anchor can work (the complementary cap is at least a full hemisphere, so no other anchor's hemisphere can straddle it). TODO: If I figure out how to add 3d visualizations to this website, I'll cover the 3D case