"in regular case" is correct and usable in written English.
It can be used to refer to a situation that is typical or unexceptional. For example, "Most of the time, our work progresses in regular case, but this project was a bit of an outlier."
Prosecutors in regular cases are now authorized to detain suspects without charge for six months, instead of four days, and a new communication law authorizes wiretaps with less judicial scrutiny.
In particular, a non-standard application of the Multiple Scale Method is illustrated for the 1 1 resonant case, requiring fractional powers and accounting for the 'arbitrary constants', generally omitted in regular cases.
Because knowledge of the spectral properties of the operator is not required, the method is also of interest in regular cases where these spectral properties are not sufficiently known or are hard to deal with.
He seems to offer them, not as counterexamples to the standard picture (in which case the above response would perhaps be legitimate), but as vehicles for the illustration of an alternative vision of communication that applies even in regular cases.
These lines are confounded in regular cases with the crest lines surrounding the catchment basin.
In regular cases, your rat will be unhappy if it lives alone.
Some notational conventions are as follows: constant values, vectors, and matrices are in regular character lower case, lower case over-arrow, and upper case, respectively.
For suitable s and (beta ) in the right norm (e^{-itH}) is (text {O}(t^{-3/2})) in the regular case, while in the resonance case, one can have (text {O}(t^{-1/2})) behavior.
Our barrier constructions in [13] also permit some relaxation of the conditions on F in the regular case, as already indicated in Remark 3.2.
