This command can be used to convert a variety of expressions into set form.  The precise form of the result is determined by the input and the nested_op and expected_type options.

The use of the expected_type option enables the convenient extraction of terms or factors without worrying about the trivial cases. If expected_type is given and expr is not of type expected_type, expr is interpreted trivially to be of that type: a sum of one term or a product of one factor. The return value is {expr} in the trivial case.

The nested_op option is only relevant if the input expr is an rtable (Matrix, Array, or Vector) or array, matrix, or vector.

$\mathrm{convert}\left(''abc''\,\mathrm{set}\right)$

$\left\{''a''\,''b''\,''c''\right\}$

$A≔\mathrm{Array}\left(3..4\,-1..1\,0..3\,\left(i\,j\,k\right)\mapsto \frac{j+k}{i}\right)\:$

$\mathrm{convert}\left(A\,\mathrm{set}\right)$

$\left\{0\,1\,-\frac{1}{3}\,-\frac{1}{4}\,\frac{1}{2}\,\frac{1}{3}\,\frac{1}{4}\,\frac{2}{3}\,\frac{3}{4}\,\frac{4}{3}\right\}$

$\mathrm{convert}\left(A\,\mathrm{set}\,\mathrm{nested}\right)$

$\left\{\left\{\left\{0\,1\,\frac{1}{3}\,\frac{2}{3}\right\}\,\left\{0\,-\frac{1}{3}\,\frac{1}{3}\,\frac{2}{3}\right\}\,\left\{1\,\frac{1}{3}\,\frac{2}{3}\,\frac{4}{3}\right\}\right\}\,\left\{\left\{0\,-\frac{1}{4}\,\frac{1}{2}\,\frac{1}{4}\right\}\,\left\{0\,\frac{1}{2}\,\frac{1}{4}\,\frac{3}{4}\right\}\,\left\{1\,\frac{1}{2}\,\frac{1}{4}\,\frac{3}{4}\right\}\right\}\right\}$

$\mathrm{convert}\left(\mathrm{Array}\left(\right)\,\mathrm{set}\right)$

$\varnothing$

$\mathrm{convert}\left(⟨⟨1|2⟩\,⟨3|4⟩⟩\,\mathrm{set}\right)$

$\left\{1\,2\,3\,4\right\}$

$\mathrm{convert}\left(f\left(a\,b\,c\right)\,\mathrm{set}\right)$

$\left\{a\,b\,c\right\}$

$\mathrm{`~`}\left[\mathrm{convert}\right]\left(\left[x^2\,x^2+2x\,x^2+2x+1\right]\,\mathrm{set}\right)$

$\left[\left\{2\,x\right\}\,\left\{x^2\,2x\right\}\,\left\{1\,x^2\,2x\right\}\right]$

$\mathrm{`~`}\left[\mathrm{convert}\right]\left(\left[x^2\,x^2+2x\,x^2+2x+1\right]\,\mathrm{set}\,\mathrm{`+`}\right)$

$\left[\left\{x^2\right\}\,\left\{x^2\,2x\right\}\,\left\{1\,x^2\,2x\right\}\right]$

$\mathrm{`~`}\left[\mathrm{convert}\right]\left(\left[x^2\,2x\,1\right]\,\mathrm{set}\,\mathrm{`*`}\right)$

$\left[\left\{x^2\right\}\,\left\{2\,x\right\}\,\left\{1\right\}\right]$

The nested_op parameter was introduced in Maple 16.

For more information on Maple 16 changes, see Updates in Maple 16.

The convert/set command was updated in Maple 2021.

The expected_type parameter was introduced in Maple 2021.

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