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:
Apple has asked Google to look into "setting up servers" for a new version of Siri that's Gemini-powered and meets Apple's privacy requirements, The Information reports. Apple had already announced in January that Google's Gemini AI models would help power the upgraded version of Siri it delayed last year, but The Information's report indicates Apple might lean even more on Google so it can catch up in AI.
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