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bio website paul-abbott.blogspot.com.au
location Perth, Australia
age 54
visits member for 2 years, 3 months
seen Dec 12 at 0:14

Nov
29
comment Finding the intersection of a curve with an interpolation function
Did you try increasing the number of PlotPoints or MaxRecursion options when dealing with the seismic signal? RootsInRange is not fully adaptive (you could try Ted Ersek's package instead). However, since you have the data, why not just subtract of the values of the intersecting function at the data ordinates and look for sign changes in successive data? This will be much more efficient that Interpolating a highly oscillatory function ...
Oct
6
comment Fitting ellipse to 5 given points on the plane
See also the demonstration Five Points Determine a Conic Section. An interesting related problem is that of Small Lattice Ellipses.
Apr
2
comment How does Mathematica understand branchcuts of the complex logarithm?
The paper Can your computer do complex analysis? is also relevant to this discussion.
Feb
19
comment Finding the intersection of a curve with an interpolation function
The RootSearch package <library.wolfram.com/infocenter/MathSource/4482/>; by Ted Ersek returns all the roots over a specified range as a list of replacement rules This package .A RootsInRange function was presented in "Finding Roots in an Interval" in The Mathematica Journal 7(2), 1998: should be sufficient: