Mathematical uses of the preposition "of"

Dear Professors,

I am looking for any articles on the uses of the preposition "of" in mathematics. I once read in a teacher's edition of a pre-algebra textbook that suggested students should be taught, as early as possible, the many uses of the preposition "of" in mathematics, but I have been unable to find anything on this particular question/topic. Could anyone please try to help me find something? Or better still could anyone give me an outline of these uses?

Yours respectfully, Rob

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 Mentor I'm not sure 'the uses of the preposition "of" in mathematics' is worthy of an entire article, but who knows? Aside from the ordinary meaning to indicate membership, the only sense of "of" I can think of that might be interesting here is when it means "multiplied by," when we're talking about a fractional part of something; e.g., "1/2 of 12."
 Recognitions: Homework Help "Of" is a preposition and its meaning depends on the conventions for the human language which applies it. In English, "of" will often mean "multiplication", but the reader or writer needs to understand the worded description of the exercise or problem description to be able to properly understand what "of" means. Nine eggs of a packaged dozen, would mean possibly, 9 divided by 12, therefore, meaning three fourths, or 75% or nine twelfths. Seventy five percent of twelve would mean (3/4) multiplied by 12, and therefore mean 9.

Mathematical uses of the preposition "of"

To whom it may concern,

May I suggest the topic of this thread be modified to better convey my intent:

Uses of "of" applied most often in math and why?

In my humble opinion, the answer to why mathematicians apply certain uses of "of" more often
can give us a much deeper understanding into the nature of the art.

 May I suggest the topic of this thread be modified to better convey my intent: Uses of "of" applied most often in math and why? In my humble opinion, the answer to why mathematicians apply certain uses of "of" more often can give us a much deeper understanding into the nature of the art. #1) the cause, effect, origin, reason, result of; #2) the correlative, counterpart, match, opposite, original of; #3) a copy, derivative, image, likeness of; #4) the square, cube, logarithm, tangent, differential, or other mathematical function of.