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Re: Exclude O[] from Series[] for Solve[] in Mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg92845] Re: Exclude O[] from Series[] for Solve[] in Mathematica
*From*: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
*Date*: Wed, 15 Oct 2008 05:36:03 -0400 (EDT)
I expand a function as a Series[] but the O[] part prevents Solve[] from
working. I try Part[] and it returns something which also confuses
Solve[]. First[] works, but produces useless results, but this is why I am
sure this is what I want to do.
Hi, Vasos,
There is a function Normal[] that does the job. Compare:
In[5]:= Series[Sin[x], {x, 0, 5}]
Out[5]= (SeriesData[$CellContext`x, 0, {
1, 0, Rational[-1, 6], 0, Rational[1, 120]}, 1, 6, 1])
with the following:
In[4]:= Normal[Series[Sin[x], {x, 0, 5}]]
Out[4]= x - x^3/6 + x^5/120
Check Help/Series for more details.
With this the Solve operator works:
In[7]:= Solve[Normal[Series[Sin[x], {x, 0, 5}]] == 0, x]
Out[7]= {{x -> 0}, {x -> -Sqrt[2 (5 - \[ImaginaryI] Sqrt[5])]}, {x ->
Sqrt[2 (5 - \[ImaginaryI] Sqrt[5])]}, {x -> -Sqrt[
2 (5 + \[ImaginaryI] Sqrt[5])]}, {x -> Sqrt[
2 (5 + \[ImaginaryI] Sqrt[5])]}}
Have success, Alexei
--
Alexei Boulbitch, Dr., Habil.
Senior Scientist
IEE S.A.
ZAE Weiergewan
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