Sentence examples for established when the number from inspiring English sources

However, convergence to the optimal filter can only be established when the number of particles and the length of the random path both goes to infinity.

Asymptotic normality of the proposed estimator is established when the number of species in the population is finite and known, finite but unknown, and infinite.

It should be noted that Equation 3 only establishes when the number density is larger than 2. In order to simulate more efficiently, we chose the minimal value of 3. Groot and Warren's study shows that they can insert the mixing effect as Δa into the repulsive interaction parameter a ij for different kind of beads by the Flory-Huggins parameter χ which is obtained from the MD simulation.

When the Damköhler number is larger than unity, chemical reaction starts before complete fuel/air mixing and the tubular flame fails to be established; when the Damköhler number is much smaller than unity, the fuel and the oxidizer are completely mixed before the onset of reaction, resulting in successful tubular flame combustion.

If Steinbrenner does not, then Jeter's situation will be driven by the calendar and the parameters established when the arbitration numbers are exchanged.

By using the persistence theory for infinite dimensional system, the uniform persistence of the system is established when the basic reproduction number is greater than unity.

The number of units that are different is readily established when the sequence of units is known for a given macromolecule in different organisms.

Two of Pakistan's universities are listed in the top 500 of the latest QS World University Rankings; one is the National University of Sciences and Technology in Islamabad, which was established when a number of military training colleges amalgamated, and is run by a retired general.

Briefly, genotype calls per position were established when total number of aligned reads exceeded a preset threshold (n = 20).

I logged onto the Web site (using my card number and PIN, established when I got the card).

An. subpictus, on the other hand, was not abundant in the stagnant and usually turbid water present during the intervals between ploughing and until the crop was thoroughly established when it decreased considerably in numbers.