Partial sums of symbolic series?
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I am just beginning to explore the symbolic math toolbox. And I can't work out how to create a sequence of symbolic partial sums. Suppose I enter, for example:
syms t
T = taylor(exp(sin(t),t,'Order',12)
c = children(T)
The answer has the constant term at the end, instead of the start, so that
cumsum(c)
is not correct. I can write a little program to list all the partial sums:
V = []
for n=1:12
V = [V,taylor(exp(sin(t),t,'Order',n)];
end
but that seems very clumsy. Is there a better, more canonic way to do this?
Finally, with the array V above, if I display V, it's done using abbreviations, so that terms aren't repeated. How can I display V simply, in full?
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Walter Roberson
le 13 Oct 2016
cumsum([c(end), c(1:end-1)])
However, remember that the order of terms is not documented, so relying on children() to return them in sorted order is not robust. To get sorted order you should be looking at coeffs()
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Alasdair McAndrew
le 13 Oct 2016
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Walter Roberson
le 13 Oct 2016
Remember too that it is common for either odd or even powers in taylor to be 0, so the cumulative sum there should reflect the 0 terms. That would correspond to using the 'All' parameter of coeffs.
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