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137 sats \ 1 reply \ @dontforgetthekeys 27 Sep \ parent \ on: [Daily puzzle] Does cos(x^2)=0 have more solutions than cos(x)=0? science
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.
That's correct.
But can one argue that one infinity is larger than the other? They're both infinite...
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