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 Apr 25 reviewed Approve Decode the message $(1,1,1,0,1,1,1)$ using the Hamming $(7,4)$ code Apr 24 reviewed Approve Suppose $f$ is analytic and $f(a) = f(b) = 0$. Show that $|f(z)| ≤ |{z − a \over 1 − z\bar{a}}| · |{z − b \over 1 − z\bar{b}}|$. Mar 6 comment Linear transformation of $5$ points in a graph. Yes, you have to remove the mean from the data and then project the data onto your eigenvectors (i.e. basis). If you put them in columns as $R = [v1 v2]$ then the formula is something like this: $data2 = R'*(data-mean)'$. You will have to work out the right Matlab, but that is the jist of what you need to do. Mar 6 comment Linear transformation of $5$ points in a graph. Do you know how to form a basis from the eigenvectors? Do you know how to do a general coordinate transformation? Mar 4 answered Intuition behind the “infinite velocity” of a falling ladder Mar 3 awarded Notable Question Feb 29 comment Coordinate transformations and interpreting what the Jacobian determinant describes Yes or just $dx^{1}dx^{2}\cdots dx^{n}=Jdy^{1}dy^{2}\cdots dy^{n}$ because the Jacobian just relates volumes between one coordinate system and another. The way that you wrote it, both would tie back to a third coordinate system (i.e. $Jdx^{1}dx^{2}\cdots dx^{n}=\tilde{J}dy^{1}dy^{2}\cdots dy^{n} = dz^{1}dz^{2}\cdots dz^{n}$). Feb 28 comment Coordinate transformations and interpreting what the Jacobian determinant describes Yes, you could think about it that way. Just keep in mind that the assumption that one of the coordinate systems in Cartesian is not necessary. They could both be curvilinear coordinate systems. Your last statement is correct Feb 28 answered Fuzzy logic vs probability Feb 27 revised Coordinate transformations and interpreting what the Jacobian determinant describes added 731 characters in body Feb 27 comment Coordinate transformations and interpreting what the Jacobian determinant describes "coordinate lines form a rectilinear grid and so the coordinate volume element is simple a cube" -- Yes, that too. But keep in mind that the coordinate system could be stretched in one direction and still be rectangular. Feb 27 comment Coordinate transformations and interpreting what the Jacobian determinant describes "So is the reason why.. is independent of the location?" yes. Feb 26 answered Coordinate transformations and interpreting what the Jacobian determinant describes Jan 25 awarded Nice Answer Dec 14 awarded Yearling Nov 27 answered Finding Velocity and Distance Formula from Integral of Acceleration Oct 20 answered What is the use of Calculus? Sep 9 answered Choose a proper basis Aug 21 comment Why are Runge Kutta's method and Euler's so different? Did you mean $\underline {\dot x}=\underline A\cdot \underline x$? May 21 answered Matrix notation in handwriting