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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