Michael Wijaya
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 Dec 25 comment A path to truly understanding probability and statistics I do not have a background in statistics, but I am very much interested in the geometry underlying statistics. I started out with the book @hadsed mentioned, but I now prefer Wickens' The Geometry of Multivariate Statistics. Nov 29 awarded Critic Jul 19 awarded Enthusiast Jul 15 awarded Nice Answer Jul 14 comment Minimum of $n$? $123456789x^2 - 987654321y^2 =n$ ($x$,$y$ and $n$ are positive integers) I don't think Dr. Weissmann has gotten to Conway's topograph yet in his blog. If he's written about it somewhere, I'd love to read it. My understanding is that he is the authority in the topograph method and its generalizations. Jul 13 comment Solve $37x^2-113y^2=n$ @Hecke One of my favorite quotes: "To improve upon Hecke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task." --- André Weil Jul 13 comment Solve $37x^2-113y^2=n$ @Hecke There was a gap in my proof because I did not take into account the fact that $16724$ is not a fundamental discriminant. I think I fixed it. By the way, does your nickname have anything to do with Erich Hecke? Jul 13 revised Solve $37x^2-113y^2=n$ Fixed gap in proof from not considering fundamental discriminant. Rearranged material, added section on further comments. Jul 13 awarded Yearling Jul 13 answered Solve $37x^2-113y^2=n$ Jun 15 comment Matrix of quadratic form has to be symmetric? The section you linked to is about forms over $\mathbb{R}$, which has characteristic not equal to 2. Over such fields, we do not get any new quadratic form by considering non-symmetric matrices because we can divide by 2. So $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ gives the same quadratic form as $\begin{pmatrix} a & \frac{b+c}{2} \\ \frac{b+c}{2} & d \end{pmatrix}$. Jun 7 revised Diagonalising quadratic form added 388 characters in body Jun 7 answered Diagonalising quadratic form May 27 answered How to find $A$ such that $A^2$ is the zero matrix? Mar 28 awarded Editor Mar 28 revised Minimum of $n$? $123456789x^2 - 987654321y^2 =n$ ($x$,$y$ and $n$ are positive integers) Provide a better example of the versatility of Conway's topograph Mar 28 awarded Teacher Mar 28 answered Minimum of $n$? $123456789x^2 - 987654321y^2 =n$ ($x$,$y$ and $n$ are positive integers) Feb 24 awarded Supporter