| Line 9: | Line 9: | ||
If there is a closed interval I = [a,b] then is it appropriate to assume that b = supI and a = infI ? Does it need to be shown? because I'm not sure it is written explicitly anywhere. | If there is a closed interval I = [a,b] then is it appropriate to assume that b = supI and a = infI ? Does it need to be shown? because I'm not sure it is written explicitly anywhere. | ||
| + | |||
| + | |||
| + | '''Prof. Alekseenko:''' It is actually a theorem that <math> b=\sup{(a,b)} </math> and <math> a=\inf{(a,b)} </math>. You may assume that this theorem is given, however, it seems unusual that you need a statement like that. Intervals are rather simple. Do we have to use <math> \sup </math> and <math> \inf </math> on them? | ||
| + | |||
| + | ---- | ||
Revision as of 10:24, 17 February 2010
To ask a new question, add a line and type in your question. You can use LaTeX to type math. Here is a link to a short LaTeX tutorial.
To answer a question, open the page for editing and start typing below the question...
go back to the Discussion Page
If there is a closed interval I = [a,b] then is it appropriate to assume that b = supI and a = infI ? Does it need to be shown? because I'm not sure it is written explicitly anywhere.
Prof. Alekseenko: It is actually a theorem that $ b=\sup{(a,b)} $ and $ a=\inf{(a,b)} $. You may assume that this theorem is given, however, it seems unusual that you need a statement like that. Intervals are rather simple. Do we have to use $ \sup $ and $ \inf $ on them?
