Sentence examples for is a regular function of from inspiring English sources

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.

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.

Hence, this part is a regular function.

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

Given two varieties V, V′ in An and Am respectively, a regular function from An to Am whose restriction to V is a function from V to V′ is called a regular function of varieties.

As remote monitoring via Internet is becoming a regular function of BMS nowadays, the automatic commissioning software provides a means for remote check and diagnosis of the BMS sensors.

Let ρ be a regular function pseudomodular.

Definition 2.2 Let ρ be a regular function pseudomodular.

Its integrity is an important precondition for a regular function of the circulatory system.

a Regular function of leptin.

end{aligned}By Sard's lemma we can assume that (frac{1}{2}, mathrm{vol}(S^3)) is a regular value of the function ((a,t) mapsto tilde{V}^{(i)}(a,t)). Therefore, the set begin{aligned} Omega ^{(i)} = left{ (a,t) in bar{B}^4 times [-pi,pi ]: tilde{V}^{(i)}(a,t) = frac{1}{2}, mathrm{vol}(S^3) right} end{aligned}is a smooth hypersurface in (bar{B}^4 times [-pi,pi ]).