Sentence examples for function can be written in terms from inspiring English sources

end{aligned}On the other hand, we know that the beta function can be written in terms of the Gamma function as follows: begin{aligned} B a,b =frac{Gamma (a)Gamma (b)}{Gamma (a+b)}, end{aligned}so we have begin{aligned} I^{alpha }x^{beta }=frac{Gamma (beta +1)}{Gamma (alpha +beta +1)} x^{alpha +beta }. end{aligned} (square).

Considering chloride penetration problem, the limit state function can be written in terms of time for corrosion initiation: G X = t R X − t a, Open image in new window (7). in which tR is the time for corrosion initiation that depends on the group of random variables X; ta is the structural life-time expected in design which was considered as a deterministic parameter.

Based on the Ising model, the energy function can be written in terms of x as (13) U (x | 0 ) = - ∑ i = 1 n + m α i x i - ∑ k = 1 K β k N 10 k + γ k N 11 k + N 00 k where θ = (α i, β, γ,..., β K, γ K) are parameters.

It has been shown that the conformally invariant graviton two-point functions can be written in terms of the two-point functions of the massless minimally or conformally coupled scalar two-point functions in dS space.

It is shown that the conformally invariant graviton two-point functions can be written in terms of the two-point functions of the massless minimally or conformally coupled scalar two-point functions in dS ambient space.

By the iteration of equation (4), the corresponding refinable function ϕ can be written in terms of its Fourier transform as begin{aligned} hat{phi} omega):=prod_{j=1}^{infty} hat{tau}bigl(2^{-j}omegabigr).

Any function (Rin mathbb{R} _{q}) can be written in terms of a slowly varying function.

(a) Any function (Rin mathbb{R} _{q}) can be written in terms of a slowly varying function.

Any periodic function can be decomposed, can be written, in terms of certain number of basic sinusoid function with simple periods.

In Text S1 Section B we derive the hazard function and show that it can be written in terms of certain combinations of the biological parameters given in Table 1.

For this mapping, the MIR can be written in terms of the Lyapunov Exponents [11], [31].