Now that you are most probably here to bash an "undergrad", I would like to tell you that I'm excited for the Champions League knock-out round to start next week.
Soccerbro
Now that you are most probably here to bash an "undergrad", I would like to tell you that I'm excited for the Champions League knock-out round to start next week.
SoccerbroClosed but not bounded = \mathbb{Z}
Bounded but not closed = (0,1]
(0,1) is also bounded and not closed.
Now that you are most probably here to bash an "undergrad", I would like to tell you that I'm excited for the Champions League knock-out round to start next week.
SoccerbroClosed but not bounded = \mathbb{Z}
Bounded but not closed = (0,1](0,1) is also bounded and not closed.
boy you're smart
Denote a, b as elements of R, and let I be an interval that includes a and b as its left and right end points
We say I is closed and bounded if
i) I=[a, b]
ii) abs(a)<<infinity, abs(b)<<infinity; that is, both a and b are real numbers
Corollary - the empty set is bounded
True economist
Denote a, b as elements of R, and let I be an interval that includes a and b as its left and right end points
We say I is closed and bounded if
i) I=[a, b]
ii) abs(a)<<infinity, abs(b)<<infinity; that is, both a and b are real numbers
Corollary - the empty set is bounded