Whenever a power series or a Puiseux series or univariate polynomial over power series is displayed, whether simply as the result of a computation or by an explicit call to the Display command, Maple uses some parameters to determine which terms to show and which terms to elide. These parameters and their settings are called a display style.

Display style settings can come from four different sources.

When calling the Display command, you can specify a display style explicitly. This overrides all other settings.

If no display style is specified, or when displaying the result of a computation without a call to Display, Maple uses the display style set for the specific power series or a Puiseux series or univariate polynomial over power series that is to be displayed, if any is set. This is done with the SetDisplayStyle command, as explained below.

Otherwise, Maple uses the style last set using the SetDefaultDisplayStyle command, if any. This, too, is explained below.

Finally, if no display style is set, Maple uses its default values, described together with the individual parameters below.

If some parameters are specified in a display style d1 that is overridden by a different display style d2, then Maple completely ignores d1. Any parameters that are not set in d1 will get their default values.

When displaying a computation result or calling Display, the display style can only limit the terms displayed. It will never cause extra terms to be computed.

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.

$\mathrm{with}\left(\mathrm{MultivariatePowerSeries}\right)\:$

$a≔\mathrm{GeometricSeries}\left(\left[x\,y\right]\right)$

$a≔\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+\mathrm{\dots }\right]$

$\mathrm{UpdatePrecision}\left(a\,10\right)\:$

$b≔\mathrm{SumOfAllMonomials}\left(\left[x\right]\right)$

$b≔\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x}\mathrm{:}1+x+\mathrm{\dots }\right]$

$\mathrm{UpdatePrecision}\left(b\,10\right)\:$

$\mathrm{SetDefaultDisplayStyle}\left(\left[\mathrm{precision}=5\right]\right)$

$\left[\mathrm{precision}=5\right]$

$a$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+\mathrm{\dots }\right]$

$\mathrm{Display}\left(b\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x}\mathrm{:}1+x+x^2+x^3+x^4+x^5+\mathrm{\dots }\right]$

$\mathrm{SetDisplayStyle}\left(a\,\left[\mathrm{maxterms}=20\right]\right)$

$\left[\mathrm{maxterms}=20\right]$

$a$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+\left(x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+\mathrm{\dots }\right)+\mathrm{\dots }\right]$

$b$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x}\mathrm{:}1+x+x^2+x^3+x^4+x^5+\mathrm{\dots }\right]$

$\mathrm{Display}\left(a\,\left[\mathrm{maxterms}=10\right]\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+\mathrm{\dots }\right]$

$f≔\mathrm{UnivariatePolynomialOverPowerSeries}\left(\left[\mathrm{GeometricSeries}\left(x\right)\,\mathrm{PowerSeries}\left(1+x+y\right)\,\mathrm{GeometricSeries}\left(\left[x\,y\right]\right)\right]\,z\right)$

$f≔\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+\mathrm{\dots }\right)\mathrm{+}\left(1+x+y\right)z\mathrm{+}\left(1+x+y+\mathrm{\dots }\right)z^2\right]$

$\mathrm{UpdatePrecision}\left(f\,10\right)\:$

$f$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+x^2+x^3+x^4+x^5+\mathrm{\dots }\right)\mathrm{+}\left(1+x+y\right)z\mathrm{+}\left(1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+\mathrm{\dots }\right)z^2\right]$

$\mathrm{SetDisplayStyle}\left(f\,\left[\mathrm{maxdegree}=1\right]\right)$

$\left[\mathrm{maxdegree}=1\right]$

$f$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+x^2+x^3+x^4+x^5+\mathrm{\dots }\right)\mathrm{+}\left(1+x+y\right)z\mathrm{+}\mathrm{\dots }\right]$

The MultivariatePowerSeries[SetDisplayStyle] and MultivariatePowerSeries[SetDefaultDisplayStyle] commands were introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.

The MultivariatePowerSeries[SetDisplayStyle] and MultivariatePowerSeries[SetDefaultDisplayStyle] commands were updated in Maple 2023.