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The lesson for the chemical engineering student is to always consider the possibility that analytical solutions involving special functions might exist for problems previously thought to be solvable with numerical methods only.
Edmonds (1965a) first proposed that polynomial time complexity could be used as a positive criterion of feasibility – or, as he put it, possessing a "good algorithm" – in a paper in which he showed that a problem which might a priori be thought to be solvable only by brute force search (a generalization of \(\sc{PERFECT}\ \sc{MATCHING}\) from above) was decidable by a polynomial time algorithm.
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All public key algorithms are thought not to be solvable in polynomial time.
They are thought instead to be solvable only in exponential time.
Again, our results show the resultant LCP and MAD problems to be solvable exactly in polynomial time.
For this problem to be solvable we need at least two corresponding point pairs.
I think they'll be solvable.
If I thought Iraq was solvable, I'd turn rabidly bullish.
"I think it's solvable, but I also think social acceptance changes with society.
"I think that stuff is solvable.
Yet Kaku thinks these problems are solvable – and that human teleportation may be possible within 100 or so years.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com