0
votes
4answers
103 views

Let Ω be a domain in/of Rⁿ

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, ...
1
vote
1answer
272 views

“Function defined on/over the set A”

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 ...
3
votes
1answer
245 views

“Both of” vs. just “both” with mathematical symbols

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. ...