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How to get all the solutions of a list of equations?
A typical example of equations is:
soln /.
Plus[Flatten[{f1, f2, f3}],
Plus[Flatten[{g1, g2, g3}],
Flatten[{h1, h2, h3}]], s1, s2]
I would like to create a function where, if a list of equations are given as:
mylist={f1, f2, f3},
mylist={g1, g2, g3},
mylist={h1, h2, h3}
then the function returns:
$\{\{f1, f2, f3\}, \{g1, g2, g3\}, \{h1, h2, h3\}\}$
I am currently trying this through
Flatten[Solve[mylist, {f1, f2, f3, g1, g2, g3, h1, h2, h3}]
But this returns:
{{f1, f2, f3, g1, g2, g3, h1, h2, h3}}
How can I tell my function to only do the f1 f2 f3 g1 g2 g3 h1 h2 h3?
A:
You can use Thread to sum the lists and extract the first element of each list separately:
Thread[{f1, f2, f3, g1, g2, g3, h1, h2, h3}]
(* {{f1, f2, f3}, {g1, g2, g3}, {h1, h2, h3}} *)
Q:
Prove that a certain set is open
A set $X$ in a topological space is open $\iff \forall p\in X\forall V\in \mathcal{V}_p, (V\cap X)\in \mathcal{
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