I prefer concepts to words in maths. There are often many ways of expressing the same idea. Sometimes posters get hung up on the words when I think they should be concentrating on the concepts. The same is true of the symbols used. eg. the recent Boolean algebra question. There are at least three different notations there, but the underlying maths is consistent throughout.

Bob

]]>I'm be interested in either / both.

Bob

]]>In math or in general?

]]>In your example you could drop the word altogether and have "The only restriction is that the divisor must not be equal to zero" and it still makes perfect sense. I've been trying to find situations where just using 'equals' is not appropriate ... without much success I have to say.

Some mathematicians use 'identically equal' instead of 'equivalent' and it is often used for identities eg.

and also eg.

If you google the two word phrase you'll get more examples.

Meanwhile, here's a challenge for members:

Find an example where you cannot leave out the word 'identically' without changing the meaning.

Bob

]]>I'm just wondering, I know that a rational expression can't be divided by 0, but what does he man by "identically" ???I feel like there's something I'm missing... any help please ! Thank you !

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