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31 sats \ 4 replies \ @south_korea_ln OP 27 Sep \ parent \ on: [Daily puzzle] Does cos(x^2)=0 have more solutions than cos(x)=0? science
Are you sure there is only one solution for cos(x)=0?
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137 sats \ 1 reply \ @dontforgetthekeys 27 Sep
both have an infinite number of solutions. cos(x^2) = 0 has broader distribution of solutions compared to the linear and equally spaced solutions of cos(x) = 0. cos(x^2) = 0 is more dense in unique values.
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21 sats \ 0 replies \ @south_korea_ln OP 27 Sep
That's correct.
But can one argue that one infinity is larger than the other? They're both infinite...
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10 sats \ 1 reply \ @Undisciplined 27 Sep
On what domain, sir?
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24 sats \ 0 replies \ @south_korea_ln OP 27 Sep
On what domain, sir?
Infinite domain. The real number line. I should have been clearer, indeed.
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