Sentence examples for approaches a limit from inspiring English sources

The effect of capitalization of the future losses to present time is that the risk profile asymptotically approaches a limit risk profile as the operation time increases.

The high-force regime is characterized by barrierless unfolding, and the unfolding time approaches a limit of ∼10 μs for the highest forces we studied.

Then the definition becomes: A function f(t) approaches a limit L as t approaches a value p if for all ε > 0 there exists δ > 0 such that |f(t) − L| < ε whenever |t − p| < δ.

Intuitively, a function f(t) approaches a limit L as t approaches a value p if, whatever size error can be tolerated, f(t) differs from L by less than the tolerable error for all t sufficiently close to p. But what exactly is meant by phrases such as "error," "prepared to tolerate," and "sufficiently close"?

The solution trajectory approaches a limit cycle as time passes.

More recently Cory Juhl (1994) has examined the rule with respect to the speed with which it approaches a limit.

Collapse was expressed as the state of the structure when this damage measure approaches a limiting value.

Because oxidation of Fe0 by CCl4 is the major corrosion reaction in these systems, kFe2+ also approaches a limiting value at high CCl4 concentrations.

For very large systems, the adaptation speed approaches a limiting value Vmax.

Figure 4(C) shows that η c is large for small dimensionless scattering values and decreases as it approaches a limiting value.

Nonetheless, there will come a point when semiconductor manufacturing does approach a limit: when transistor gates are only a few nanometres long.