The phrase "a mode with which" is correct and usable in written English.
It can be used to describe a method or manner in which something is done or achieved.
Example: "The artist developed a mode with which to express her emotions through her paintings."
Alternatives: "a way to" or "a method for".
The app has a 'practice mode' with which users can snap photos of the sun or moon (see Oliveros' video demonstration).
Marked with an A in Fig. 4 is a mode with variable frequency, which is suggestive of control behavior.
The FRAP data presented here provide direct evidence for a third, much more transient binding mode with which cohesin can interact with chromatin in the range of seconds.
In the Opinionator piece "How to Live Without Irony," Christy Wampole states that for many young Americans "irony is the primary mode with which daily life is dealt".
For many Americans born in the 1980s and 1990s — members of Generation Y, or Millennials — particularly middle-class Caucasians, irony is the primary mode with which daily life is dealt.
Written in a hybrid of sophisticated journalese and conventional realism, the first two-thirds of "Fury" follow Solanka's misadventures in America, and by flash-back tell the story of his former life.In the concluding part of the novel, however, Mr Rushdie shifts without warning into the magical realist mode with which he is often associated.
Texting is the communication mode with which young people are most comfortable: The Pew Research Center recently found that teens exchange 60 texts a day, a hike from 50 a day in 2009.
The mode with which health information reaches the Deaf community is key to its value and impact.
However, a relative wide scattering of the data could be observed, possibly due to the calculation mode with which the algorithm compensates for changes in vascular tone.
We will use the ideal synthesis mode with which rank is preserved in the case of addition or removal of an 'irrelevant' alternative.
