The phrase "arises while" is correct and usable in written English.
It can be used to indicate that something occurs during the time that another event is happening.
Example: "The issue arises while we are trying to implement the new software system."
Alternatives: "occurs during" or "happens as".
The Lib Dems are as keen as ever to embarrass the prime minister over Iraq when the opportunity arises, while the Tories are deeply critical of the government over several aspects of its handling of terrorism.
This situation often arises while analyzing earthquake sequences of long duration that are affected by occasional aseismic transients.
An important issue often arises, while clustering or classifying, is the problem of having too many attributes (or dimensions).
Two atoms belonging to different types can be easily differentiated by their specific attributes, but the problem arises while differentiating two atoms of the same type, say, two earth atoms.
In this paper, we address the SDH network design problem (SDHNDP) which arises while designing the fixed part of global system for mobile communications access networks using synchronous digital hierarchy (SDH) rings.
So by dominated convergence theorem, the limit lim Θ h → 0 (which arises while defining the partial derivate) can be taken inside the integral for every i,j,l,r and this establishes the existence of component wise partial derivative, ∂f ∂Θ Θ, Π ( i, y ).
The idea for "Dance" arose while Ms. Childs and Mr. Glass were on tour with "Einstein".
Mr. Herman's interest in shopping (as a subject) arose while studying at the Harvard Graduate School of Design in 1997.
Here, he discusses the reporting challenges and ethical questions that arise while pursuing stories in the criminal underworld.
It's disconcerting enough for second-home owners to deal with the problems that arise while they are in residence.
The debate about her background arose while the Bush administration was facing criticism about the performance of the director of the Federal Emergency Management Agency, Michael D. Brown, after Hurricane Katrina.
