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Martin Gardner's variant has the minimum solution of 2^4-1=15.
We have also given guidance to healthcare professionals to use the minimum solution required and to remove any excess bearing in mind the risk in very pre-term infants".
To solve the old problem, we need to make one additional step, getting 5^6 v+4)=4^6(x+4), with the minimum solution x=5^6-4=15621 whish is even more absurd from the view point of common sense.
Third, as an example, it is believed that Archimedes composed the now famous cattle problem (problema bovinum, that asked for the size of sun god's herd) as a joke, for it led to 7- and 8-digit solutions that the Greeks would not even know how to easily write down, while, with extra conditions, the minimum solution featured unimaginable for them 206545 decimal digits.
Then, is solvable and it has a maximum (minimum) solution.
But, the existence of maximum or minimum solution will be failed.
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In the end, we prove that (x^) and (y^) are maximum and minimum solutions for system (1.1).
Fluid-dynamic variables are searched with a probabilistic approach, meaning that for each variable the average, maximum and minimum solutions are calculated.
Now, we state and prove the main theorem of this paper below, which provides the existence of maximum and minimum solutions to general variational inequalities in Hilbert lattices.
For a bounded and convex -sublattice of a Hilbert lattice, the behavior of its maximum and minimum solutions to a problem should be noticeable.
In this paper, we study this theme and provide some results about the existence of maximum and minimum solutions to some general variational inequalities in Hilbert lattices.
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