Joel Cornett
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Next privilege 250 Rep.
 Jan 3 awarded Autobiographer Oct 21 comment The Unit Circle? Well, the formula for a unit circle is $x^2+y^2=1$, so just plug in $y$ and solve for $x$. Oct 21 comment Is this question proper? “Solve $\log_{10}x\in\mathbb{R}$.” What are you trying to solve? What would the correct answer be? Oct 21 awarded Scholar Oct 21 accepted Sufficient proof that $[0,1]\cap\mathbb{Q}$ contains only its cluster points. Oct 20 awarded Student Oct 20 comment Sufficient proof that $[0,1]\cap\mathbb{Q}$ contains only its cluster points. @AndréNicolas: Doh. Ok now I get it. Oct 20 comment Sufficient proof that $[0,1]\cap\mathbb{Q}$ contains only its cluster points. I don't understand how if $U:=[0,1]\cap\mathbb{Q}$, then $U$ doesn't contain only cluster points. Which points are in $U$ that aren't cluster points? Oct 20 comment Sufficient proof that $[0,1]\cap\mathbb{Q}$ contains only its cluster points. @AsafKaragila: The problem didn't specify, but since it's in a real analysis context, I'm going to assume that it might as well be in $\mathbb{R}$. Oct 20 revised How do you take the partial derivative of a function that has two variables? Cleaned up the formula S(N,P) Oct 20 suggested approved edit on How do you take the partial derivative of a function that has two variables? Oct 20 asked Sufficient proof that $[0,1]\cap\mathbb{Q}$ contains only its cluster points. Aug 18 comment Looking to attain fluency in mathematics, not academic mastery @nanana: Hehe. No judgements here. Based on your question, I recommend looking into graph theory and combinatorics. These fields seem like ones that would be right up your alley. Aug 17 comment Looking to attain fluency in mathematics, not academic mastery "I read and understood the proofs. Whether I could replicate them on my own is another issue..." Many would argue that being able to replicate a proof on your own is the truest test of understanding. Aug 17 suggested rejected edit on Inequality for singular values May 26 comment How many eyes needed for higher-dimensional vision @RahulNarain: I was thinking more along the lines of an eye that could distinguish position along one vector only, but yes, you answered my question. May 26 comment How many eyes needed for higher-dimensional vision What if one eye is only capable of 1 dimensional vision? That should be sufficient shouldn't it? May 19 comment Probability of Coins Flips One way to look at it is that Person A and Person B have only one coin. Person A has 5 flips with which to maximize the number of heads, Person B has 4. May 14 comment Finding Eigenvectors with repeated Eigenvalues @GerryMyerson: Of course! I didn't think of that. May 14 comment Finding Eigenvectors with repeated Eigenvalues @Dylan: The order that the column vectors appear in the P matrix does not matter as long as the corresponding eigenvalues appear in the same order in the diagonal matrix. IOW, a matrix $PDP^{-1}$ that is similar to A is not unique. There are n! different P matrices for a given diagonalizable $n\times n$ matrix.