Chinese Remainder Theorem: Mind-Reading Numbers from Remainders
2:22
YouTubeThinking In Math
Chinese Remainder Theorem: Mind-Reading Numbers from Remainders
Can someone really guess your secret number just by asking for a couple of remainders? In this mini-lecture, we use the Chinese Remainder Theorem (CRT) to show how knowing a number modulo 13 and modulo 7 is enough to recover **exactly** which number you picked between 1 and 90. We walk through a concrete example: solving the system x ≡ 3 (mod ...
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