get the current precision to which a power series is known
power series generated by this package
The command Precision(p) returns the precision of the power series p, that is, the degree up to which all the homogeneous parts of p have currently been computed.
The precision of a power series is updated as needed by calls to commands such as HomogeneousPart, Truncate, or UpdatePrecision.
When using the MultivariatePowerSeries package, do not assign anything to the variables occurring in the power series, Puiseux series, and univariate polynomials over these series. If you do, you may see invalid results.
We create a power series representing 1y⁢z+2⁢x+1. Its precision is initially low: Maple is lazy about computing the homogeneous components.
a ≔ 1PowerSeries⁡1+2⁢x+y⁢z
a≔PowⅇrSⅇrⅈⅇs of 1y⁢z+2⁢x+1 : 1+…
Commands such as UpdatePrecision and HomogeneousPart change the precision of a.
The precision of a power series is never lowered.
PowⅇrSⅇrⅈⅇs of 1y⁢z+2⁢x+1 : 1−2⁢x+4⁢x2−y⁢z−8⁢x3+4⁢y⁢z⁢x+16⁢x4−12⁢x2⁢y⁢z+y2⁢z2−32⁢x5+32⁢x3⁢y⁢z−6⁢x⁢y2⁢z2+64⁢x6−80⁢x4⁢y⁢z+24⁢x2⁢y2⁢z2−y3⁢z3−128⁢x7+192⁢x5⁢y⁢z−80⁢x3⁢y2⁢z2+8⁢x⁢y3⁢z3+256⁢x8−448⁢x6⁢y⁢z+240⁢x4⁢y2⁢z2−40⁢x2⁢y3⁢z3+y4⁢z4−512⁢x9+1024⁢x7⁢y⁢z−672⁢x5⁢y2⁢z2+160⁢x3⁢y3⁢z3−10⁢x⁢y4⁢z4+1024⁢x10−2304⁢x8⁢y⁢z+1792⁢x6⁢y2⁢z2−560⁢x4⁢y3⁢z3+60⁢x2⁢y4⁢z4−y5⁢z5+…
The MultivariatePowerSeries[Precision] command was introduced in Maple 2021.
For more information on Maple 2021 changes, see Updates in Maple 2021.
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