Thanks for the response. I already have the values you mention. I have one axis, the center, and the angle of rotation of that axis with respect to the x-axis. This only leaves one unknown. The general equation for a rotated and translated ellipse is...
Ok, well the sometimes negative values are obviously because of the taking of the square root so the absolute value should be used. I'm still getting what seem to be very incorrect answers. To expand this is how I find the length of the given axis where X(1),Y(1) and X(2),Y(2) are the vertices...
I'm trying to find the equation of a general ellipse given 3 points. Two of those points should be at each end of one axis. Using this I have the center of the ellipse, and the angle of rotation with respect to the x-axis that this axis is rotated. It's unknown whether this is the major or minor...
Turns out the terms I were looking for are either the variance of sample skewness and kurtosis, or standard deviation of skewness or kurtosis. I have found the following:
Std. Dev. of Skewness: sqrt((6*(N-2)*(Std. Dev.)^2)/((N+1)*(N+3)))
Std. Dev. of Kurtosis: sqrt((24*N*(N-2)*(N-3)*(Std...
What is the uncertainty of a samples skewness and kurtosis? Such as the uncertainty of the standard deviation is SD/sqrt(2*(N-1)). I was able to find what someone is calling the Standard Error of these but they both only depend on N which doesn't make sense to me.
Skewness Standard Error...
Hello, I don't seem to know how to ask google this question so I thought I'd see if I could get an answer from here.
Say I have 400 measurements of some variable. I take a sliding window of 50 events and take the standard deviation of each set of 50 events. That would be 350 measurements. Now...
sigh this post looks fine in preview but is showing something completely different on posting.
I get:
{\frac {y'}{\sqrt {{y'}^{2}+{x'}^{2}+1}}}={\frac {\lambda\,yz}{\sqrt {{y}
^{2}+{x}^{2}}}}+{\it const}
and
{\frac {x'}{\sqrt {{y'}^{2}+{x'}^{2}+1}}}={\frac {\lambda\,xz}{\sqrt {{y}...
I'm supposed to find the shortest path between the points (0,-1,0) and (0,1,0) on the conical surface z=1-\sqrt {{x}^{2}+{y}^{2}}
So the constraint equation is:
g \left( x,y,z \right) =1-\sqrt {{x}^{2}+{y}^{2}}-z=0
And the function to be minimized is...