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 Oct 5 awarded Yearling Sep 12 awarded Popular Question Aug 10 awarded Popular Question Jul 2 awarded Curious Jul 2 awarded Inquisitive Jun 26 asked Sampling from a graph Jun 26 revised how to solve $\sqrt{x^2 -2x} -x =0$? changed to latex Jun 18 comment Contraposition and law of excluded middle @Materialist as far as I know (I am not an expert), the law of the excluded middle is formally equivalent to negation elimination. If we can obtain a statement without using negation elimination (i.e. without invoking $\neg\neg P \iff P$), we have proven it without making use of the law of the excluded middle. Here, we begin with, say, $(A\to B) \& \neg B$. If we can now show $\neg A$, then we've shown that $(A\to B)\to (B\to A)$. Now, assume $A$; we show that this leads to $B\&\neg B$, which allows us to conclude $\neg A$ without making use of the law of the excluded middle. Jun 18 revised Relationship between Binomial and Bernoulli? edited tags Jun 18 answered Relationship between Binomial and Bernoulli? Jun 18 answered Contraposition and law of excluded middle Jun 18 comment Extended Monte Hall problem (Hallway) We start with $n$ doors, and each door has $n$ doors behind it? The answer will be the same—you're not really changing the problem very much; you're just jiggling some parameters around a little bit. Now not switching wins when you select the right door and then select the right door, which happens with probability $1/n^2$. Switching wins when you select the wrong door, change to the right door, and then select the right second door, which happens with probability $\frac{(n-1)}{n}\times\frac{1}{n-1}\times\frac{1}{n}>1/n^2$. Have I interpreted your question correctly? Jun 12 awarded Announcer Jun 6 revised On prime(less)ness and composite(less)ness of 1 added 542 characters in body Jun 6 answered On prime(less)ness and composite(less)ness of 1 Jun 2 reviewed Approve combination GRE problem 25 Jun 2 comment What does “radical cube zero” mean? For what it's worth, in mathematics, a "dimension" is not something that one can "enter". The dimension of a (vector) space is (roughly) the number of coordinates that it takes to fully specify a point in that space. So whatever references you've found to radical cubes (and I don't know what a radical cube is), it is doubtful that it has anything to do with entering or exiting other dimensions. Jun 2 comment solve the equation for x Hello, I've changed your statement of the problem to LaTeX code, which I would recommend learning to get the most out of this site. Can you check to make sure that I've translated correctly? Jun 2 revised solve the equation for x added latex May 28 awarded Popular Question