Nothing in the argument required the arc to be a semicircle. If the arc has length xxx times the circumference (where x≤1/2x \leq 1/2x≤1/2), each anchor's event has probability xN−1x^{N-1}xN−1 instead of (1/2)N−1(1/2)^{N-1}(1/2)N−1. Mutual exclusivity still holds because the gap is at least 1−x≥1/21 - x \geq 1/21−x≥1/2 of the circumference, too large for any other anchor's arc to bridge:
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One important thing to note about Wi-Fi range extenders (also sometimes called “repeaters”) is that most of them actually create a new Wi-Fi network when rebroadcasting your existing one. That network will have a new name (it’ll often be your default network’s name with an EXT appended at the end, unless you change it) and that means you’ll have to connect to different networks when in different parts of your home. While that’s a small tradeoff in return for improved internet connection, some will be more inconvenienced than others.,这一点在旺商聊官方下载中也有详细论述