Sentence examples for dependence on the random from inspiring English sources

Between 5 and 10 wt.%, we can only surmise that the mechanism of electron transfer consists of a mix of both, which are dominant electron transfers in PANI or continuous ZnO structure, indicating a strong dependence on the random placement of the ZnO NP during growth.

We have previously developed a method to handle this temperature dependence on-the-fly during the Monte Carlo random walk using polynomial expansions in 1/T to directly sample the secondary energy and angle.

Therefore we are interested in knowing the behavior of the random variable (3) T ′ = min { t : Y t ≤ t + 2 } (notice the dependence of the random variable T′ on n).

Therefore we are interested to know the behavior of the random variable (6) T ′ = min { t : Y t > 0 } (notice the dependence of the random variable T′ on n).

Now consider the random variable T′′ which is defined as follows T′′ = min{ k:∃ s(| s| =  k & I s  =  ∅)}(notice the dependence of the random variable T′′ on n) and observe that T′′ >  k if and only if ∀ s(| s| =  k ⇒ I s  ≠  ∅).

As such, this damage function accounts for its mechanistic and statistical dependence on the key random variables.

We emphasize that there is no additional assumption on the dependence structure of the random variables.

which is the integrand on the right-hand side of (2.11), governs the dependence structure between the random variables and.

irrespectively of the dependence structure between the random variables and.

Their distances to the irrigation resource and thus dependence on the resource are also random.

However, the fluctuations, while having some dependence on the initial stock price, are essentially random and unpredictable.