Sentence examples for be a regular function from inspiring English sources

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.  .

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.

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.

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

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

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.