Sentence examples for the superior limits from inspiring English sources

From the definition of the superior limits we obtain (2.3).

If we argue similarly by taking the superior limits instead of the inferior limits, we are led to the inequality (L leq L^{frac{beta}{alpha}}), which implies that (L leq1).

Taking (theta:0the superior limits we see that there exists a sufficiently large (t^>t_{0}), such that left { textstylebegin{array}l} x(t^)>alpha-theta, x t)< alpha+theta,quad tin[t^-T,t^] sup_{t-tau(t)leq sleq t}{x s)}leqalpha+theta,quad tin[t^-T, t^].

For example, when the density of population living in one patch reaches one threshold, that is to say, when the quantity of population reaches the superior limit, intraspecific competition for limited resources increases, the population in this patch will move to another patch.

Taking the superior limit, (3.5).

Taking the superior limit, we have (5.30).

and taking the superior limit we obtain (4.8).

Then the superior limit of is defined by (2.1).

Therefore, the superior limit of contains a component joining with infinity in.

Therefore, the superior limit of, contains an unbounded connected component with.

Electrodes are placed to supra and infrahyoid muscles and above the superior limit of thyroid notch.