# Matt N.

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 Nov7 comment Properties of family of translation operators @t.b.: I just made a terrible mistake. Again. I wish I would be making less basic mistakes over and over again. Thank you for being so patient! Time to read the second link. Nov7 comment Properties of family of translation operators @t.b.: I finished reading and almost finished understanding. Why does he need the last step? Can I not make $\| g - f_n \|$ arbitrarily small already because of $C^c (X)$ dense in $L^1$? Or isn't $f_n \in L^1$? Is it o.k. to ask you this in a comment or should I make this a question? Nov7 comment Properties of family of translation operators @t.b.: Thank you! I think it will help me too but I'm still reading the first link you gave me. : ( I should've finished 4 questions today and I haven't even finished one. Nov7 comment Properties of family of translation operators @t.b.: I cannot make any sense of it either. But regarding J's answer: I was referring to "Note that ... pointwise". I still think that it only needs continuity. Nov7 comment Properties of family of translation operators @t.b.: Thank you. In b) I am trying to use the $\varepsilon \delta$ definition of continuity. Now I'm reading Jonas' answer: do I really need $f$ to have compact support? I think continuity is enough. Nov7 asked Properties of family of translation operators Nov7 comment Proving a function is one-to-one Coming from someone who does exactly that themselves sometimes this might seem like amusing advice but so there. Nov7 answered Proving a function is one-to-one Nov7 comment Induction on a Sequence You have $|x_{n+1}| < k |x_n|$ for all $x_n$. You have to use this information. So what happens if you replace $n$ with $1$? Nov7 comment Induction on a Sequence Your case $n=1$ is wrong: if $n = 1$ you have $x_{2}$ on the left. Nov7 comment Is it possible to find the digit sum of $n!$ ($n \in \mathbb{N} \text{ and } n \le100$) without actually computing the factorial? Nov4 revised How do you solve a least square problem with a noninvertible matrix? edited tags Nov2 awarded Talkative Nov2 comment “Best practice” innovative teaching in mathematics @percusse: A great teacher just doesn't work with 300 people half of which talking about how hot the guy in the second row on the left is. I think it's an imposition that I'm forced to listen to all of this while actually wanting to do maths! Nov2 comment “Best practice” innovative teaching in mathematics @AdamSmith: I couldn't disagree more. Why should someone unmotivated study at all? University is not primary school where you motivate your kids to play ball and draw pictures. Besides the major reason why these people shouldn't be around is because they disturb others. Nov2 comment “Best practice” innovative teaching in mathematics @BillCook: It seems to me that lecturers want to do lectures because they see it as kind of exercise for them. Also, a lecture is passive and therefore boring. Nov2 comment “Best practice” innovative teaching in mathematics @JimConant: I think unmotivated students should be ignored. An unmotivatd person is the sort of person that sits behind me in the lecture talking to his buddy about whatever. VERY disturbing. Nov2 comment “Best practice” innovative teaching in mathematics @BillCook: the question is asking about 1st year math and engineering courses. And the lectures I've been to (many!) explained things worse than a good book. Nov2 comment “Best practice” innovative teaching in mathematics @percusse: I don't understand your point at all. Nov2 comment “Best practice” innovative teaching in mathematics @Gordon: That's great! I wish other universities did the same. I was thinking a bit further though in the sense that if you have zero-lecture and zero-tutorial courses the cost to run the course become almost zero.