Sentence examples for is a regular function from inspiring English sources

On the other hand the singular integral equation method can treat successfully the singular fields appearing in engineering problems when the right hand side of it is a regular function.

The crystal structure type for most actinoid trifluorides is the same as that of lanthanum trifluoride, and, since the radius of the ion is a regular function of the atomic number, the circumstance allows extrapolation from the lanthanum compound to the actinoid compound and interpolation between known compounds in the series to determine missing values.

Hence, this part is a regular function.

And obviously, when (k=1), a k-regular function is a regular function.

(1) We say that ρ is a regular function semimodular if (rho (alpha f) = 0) for every (alpha> 0) implies (f=0) ρ-a.e.;   (2) We say that ρ is a regular function modular if (rho(f) = 0) implies (f=0) ρ-a.e.

We say that ρ is a regular function semimodular if (rho (alpha f) = 0) for every (alpha> 0) implies (f=0) ρ-a.e.; We say that ρ is a regular function modular if (rho(f) = 0) implies (f=0) ρ-a.e.

Let ρ be a regular function pseudomodular.

Definition 2.2 Let ρ be a regular function pseudomodular.

Let ρ be a regular function pseudomodular; (a) we say that ρ is a regular convex function semimodular if ρ ( α f ) = 0 for every α > 0 implies f = 0 ρ-a.e.; (b) we say that ρ is a regular convex function modular if ρ ( f ) = 0 implies f = 0 ρ-a.e.  .

Definition 2.2 We say that a regular function pseudomodular ρ is a regular convex function modular if ρ ( f ) = 0 implies f = 0 ρ-a.e.

A membership function is said to be regular if there exists a point x 0 such that μ ( x 0 ) = 1 and μ ( x ) is unimodal about the point x 0. If μ is a regular membership function, then the function μ l − 1 = inf μ − 1 is called the left inverse membership function, and the function μ r − 1 = sup μ − 1 is called the right inverse membership function.