What is the correct preposition in the sentence: Let Ω be a domain in/of Rⁿ. Is there a different meaning for "in" and "of"? Both seem to be commonly used, Google gives about 200.000 hits for both, ...
For the mathematically inclined fellows: If f is a function whose domain is the set A, do you say that f is defined on A or over A? Do both prepositions apply here or is the use of one of them ...
In mathematical writing we use letters to denote the mathematical objects we are writing about. I wonder how to use "both of" in the following phrase: Both of I and I' are irreducible ideals. ...