Sentence examples for minimal point in from inspiring English sources

Then ((bar{x},bar{y} )) is minimal point in (W_{0}) by (ii′) of the Brezis-Browder principle.

Since ((bar{x},bar{y} )) is a minimal point in (W_{0}), it follows that (u=bar{x}), and thus (Tbar{x}= { bar{x} } ), which completes the proof.

In (a), the luminance decreases from the teeth to lower lips which corresponds to a local minimal point in the right figure.

On this view one can hope for much more than a minimal point in the evidentness order one can hope to garner evidence for a proposition examining its inter-relationships with other statements that are low in the evidentness ordering.

(2) Is finding a minimal point in the evidentness order (of a given interpretability degree) the most one could hope for or are there other, more subtle ways of accumulating evidence for axioms, ways that might further buttress even the minimal points in the evidentness order (of a given interpretability degree)?

There is a view according to which intrinsically justified axioms are minimal points in the evidentness order and, moreover, that that is the most that one can hope for.

It is known that point searching in basic semialgebraic sets and the search for globally minimal points in polynomial optimization tasks can be carried out using (sd)O(n) arithmetic operations, where n and s are the numbers of variables and constraints and d is the maximal degree of the polynomials involved.

On this picture the general structure of the case for new axioms is this: First, for each interpretability degree one isolates the minimal points in the evidentness order and one organizes the entire degree under the degree of one statement being more evident than another.

Thereby, since its appearance, the Brezis-Browder ordering principle [8] seems to be a strong tool to prove fixed point or minimal point theorems in an ordered set.

According to [ 15] and as validated by us using our computer, OpenFLUX required 50 iterations of about 16 seconds each in order to find a decent minimal point, hence about 800 seconds in total.

Most of the Italian clubs charged with match-fixing in 2011 faced minimal point deductions and nominal fines.The only way to clean up the game is by modifying the incentives that encourage corruption.