set theory syntax? | Mathematics | Page 1

plucky loom Aug 22, 2023, 9:49 PM

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Im wondering what []=1 means, is it the empty set? i am trying to get this solution, for the first amc 10 2022 question.

olive aspenBOT Aug 22, 2023, 9:49 PM

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strong quest Aug 22, 2023, 9:54 PM

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The bracket notation is shorthand for continued fractions

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$[a; b, c, d] = a + \frac{1}{b + \frac{1}{c + \frac{1}{d}}}$

onyx glacierBOT Aug 22, 2023, 9:56 PM

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GabeDoubleU

strong quest Aug 22, 2023, 9:58 PM

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And the []=1 is just addressing an edge case in the algorithim the alternate solution uses

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Which honestly may be overkill for AMC 10s but whatever

plucky loom Aug 23, 2023, 5:30 AM

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.close

#set theory syntax?