The phrase "a regular function" is correct and usable in written English.
It is typically used in mathematics and programming to refer to a function that is continuous and well-defined over its domain.
Example: "In calculus, we often study the properties of a regular function to understand its behavior and limits."
Alternatives: "a continuous function" or "a well-defined function".
The basic idea is to embed the interface as the level set of a regular function.
Our formulae are remarkably simple, due to the introduction of a new concept of a regular function.
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.
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.
We prove a "Darboux Theorem" for k-shifted symplectic derived schemes for all k < 0. When k = -1, this says that a -1-shifted schemectic derived scheme (which includes moduli schemes of simple (complexes of) coherent sheaves on a Calabi-Yau 3-fold) is Zariski locally equivalent to the critical locus of a regular function on a smooth scheme.
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.
The supervised toothbrushing program has begun from the second month of each year and has finished before the last month because the preschools do not have had a regular functioning on January and December.
A combination of climate change, our current lifestyles and land use patterns is making disaster reconstruction a regular, routine function of government.
The auxiliary algorithm that locates singularities and approximates a piecewise regular function of a single variable is also original, and it may be of interest per se.
Then a piecewise regular function W is a weak solution of (7) if and only if the two following conditions are satisfied: (i) W is a classical solution where it is smooth.
On the other hand, in many applications the dynamic is described by a differential operator also depending on the state variable, like (a(x)x')' for some sufficiently regular function a(x), which can be everywhere positive [non-negative] (as in the diffusion [degenerate] processes), or a changing sign function, as in the diffusion-aggregation models (see [7], [11 13]).
