Sentence examples for existence of the function from inspiring English sources

The existence of the function g in the expression of ∂ ∂ l leads to a generalization on conditions for the solvability of integral geometry problems.

If a histone lysine is acetylable, it is reasonable to assume the existence of the function that affects the chromatin structure.

The functions (particularly focused on the existence of the functions of energy demand prediction, renewable energy resource assessment and whole community energy system optimization) and characteristics of these computer tools for community energy system design (CESD) were listed and compared.

(3.1) Now we have zeta'(s)=frac{g'(s)}{f(s)}>0, quad sinmathbb{R_, which guarantees the existence of the inverse function (zeta^{-1}) of function ζ.

The existence of this function shows that there are decompression algorithms f which have a finite f-complexity for any finite string.

Here is a result we will use later to prove the existence of the likelihood function.

Finally, when proving the existence of the extremal function, we obtain the different lower bounds for the integrals of test functions constructed in Sects.

Actually, the existence of these functions is again based on the existence of the equality in (1).

If (c_{epsilon }) is bounded, the existence of the extremal function follows from the elliptic estimates.

The main difficulty is how to check the existence of the likelihood function.

Using the elliptic estimates, we have the existence of the extremal function.