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## `SYMF::Table2Sf` -- converts a table into a symmetric function

#### Call(s)

`SYMF::Table2Sf(t,b)`

#### Parameters

`t` | - | a table representing a symmetric function
`b` | - | any name of known basis

#### Introduction

The `SYMF::Table2Sf` function converts a table into a symmetric function. The table is indexed by partitions (possibly empty) and each entry that corresponds to a partition `part` is interpreted as the coefficient of `b[part]` in the expression of the symmetric function in the basis `b`.

#### Example 1

    >> t := table([]=q, [3,1,1]=q^2, [4,2]=q+1);

                                 table(
                                   [4, 2] = q + 1,
                                                2
                                   [3, 1, 1] = q ,
                                   [] = q
                                 )

    >> muEC::SYMF::Table2Sf(t, s);

                                                 2
                      q s[] + (q + 1) s[4, 2] + q  s[3, 1, 1]

#### Related Functions

`Sf2Table`

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MuPAD Combinat, an open source algebraic combinatorics package