Skip to content

Commit a668a7c

Browse files
authored
Fix ImageForm docstring
1 parent a8e2cb4 commit a668a7c

File tree

1 file changed

+3
-3
lines changed

1 file changed

+3
-3
lines changed

src/Bridges/Constraint/image.jl

Lines changed: 3 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -9,10 +9,10 @@ There is a linear relation `Σ = A(S)`.
99
The linear relation reads: `p` belongs to `Σ` iff there exists `q` in `S` such that `A(q) = p`.
1010
This allows defining a variable bridge that would create variables `p` and substitute `A(q)` for `p` but this is not the purpose of this bridge.
1111
This bridge exploit the following alternative read:
12-
`p` belongs to `Σ` iff there exists `q` in `S` such that ``q in A^{-1}(p)`` where `A^{-1}` is the preimage of `p`.
13-
This preimage can be obtained as `A^\\dagger p + \\mathrm{ker}(A)` where `A^\\dagger` is the pseudo-inverse of `A`.
12+
`p` belongs to `Σ` iff there exists `q` in `S` such that ``q \\in A^{-1}(p)`` where ``A^{-1}`` is the preimage of `p`.
13+
This preimage can be obtained as ``A^\\dagger p + \\mathrm{ker}(A)`` where ``A^\\dagger`` is the pseudo-inverse of `A`.
1414
It turns out that for polynomial bases indexed by monomials, `A` is close to row echelon form so
15-
`A^\\dagger` and `\\mathrm{ker}(A)` can easily be obtained.
15+
``A^\\dagger`` and ``\\mathrm{ker}(A)`` can easily be obtained.
1616
1717
This is best described in an example.
1818
Consider the SOS constraint for the polynomial `p = 2x^4 + 2x^3 * y - x^2 * y^2 + 5y^4`

0 commit comments

Comments
 (0)