What are some good books on punctuation? Ideally, such a book should treat punctuation in both American English and British English. I have seen so many different rules in different books that I am confused what really is correct when it comes to punctuation.
Hi people, recently I have asked a question (ok, no-one answered ), for which I have a secondary question, which is brief and stand-alone... Here it is:
Let $X$ be a random variable with mean value $\mu=(\mu_1,\ldots,\mu_t,\ldots,\mu_n)^\top$, where $\mu_t=\mathbf{w}_t\cdot(\mathbf{u}+\mathbf{e})+b_t$. What is the covariance $\sigma_{ij}=\operatorname{cov}(\mu_i,\mu_j)$?
Any help?
Thanks in advance!
(In case someone is interested, the question is here, no intention to spam...)
( thanks for the upvote, as well, if it was one of you! )
@rehband: Teaching at high school is around 25%, teaching assistant at uni is around 30%, and also working for a small project at another university at around 40%. :D
@Huy I wrote something for my bachelor's too, but it is not considered research. I wrote on how completion of step function space under L1 norm is equivalent to lebesgue space. It was about 20 pages.
@WillHunting: Sounds interesting. Over here, usually the professor gives you a problem that - if you actually succeed in doing everything the way he thinks it can be done - is definitely publishable. However, not everyone succeeds (some are more gifted, some less, obviously) and so some thesis will still be accepted but are not good enough to be published.
I'm new in the area of the series involving Bessel function of the first kind. What are
the usual tools you would recommend me for computing such a series? Thanks.
$$\sum_{n=1}^{\infty} \frac{J_0(2n)}{n^2}$$
Hi here is a a question from yestarday this says what functions live in $C_b(Q)$ the first idea is just the restriction but there are more, so when I try to find a characteristic a fail any ideas?
@MikeMiller So I have to shoy that $f\in C_b(Q)$ iff F is uniformly continuous. is what characterizes the functions in $C_b(Q)$ continuous functions form Q to R
Someone knows what kind of weird functions can live in $C_b(Q)$ the space of continuous functions from Q to R, one idea was the restriction but there are more a lot of more. For example if we use the classic construction of a function which is increasing and discontinuous in a countable set and we let this countable set be a subset of the irrationals that function lives there. I'm not sure of what general characteristic the functions in that space have. Anyone?
so do you think that cannot exist a complete characterization of the $C_b(\mathbb{Q})$ more than the restrcitions and some random functions which can be found, i don't for example sin (1( x-pi)) the increasing functions which is defined as a summation and which is discontinuous in a numerable set, in this case a numerable set of irrationals...
I've not done any math recently, so I haven't had a chance to look at the vector geometry questions I got from you. My last day of work was today and I have a week to get ready to leave for uni next weekend, @Huy. ^_^
@Chris'ssis You can solve your sum for $J_k(z)$ however it requires solving an integral equation to extract something using fourier. It is hard but doable.
@JoseAntonio You could cheat and say the functions in $C_b(\mathbb{Q})$ are precisely the restrictions of functions in $C(\beta\mathbb{Q})$ - where $\beta X$ is the Stone-ÄŒech compactification of $X$. But since that is almost the definition of the Stone-ÄŒech compactification, that's not really helpful. I don't think you have a chance of characterising $C_b(\mathbb{Q})$ in terms of functions defined on $\mathbb{R}$.
@DanielFischer I see, me friend and I, we worked in this problem all the day and didn´t find anything, we ask professor in the university and nothing is somehow disappointing, damn I really wanted to find a characterisation. Thanks :) for your time
@TedShifrin No success, at least, we found a lot of functions there which are not restriction. But somehow it is disappointing not to find a characterization
@rehband: I'll start doing some exercise soon, but I want to get a bit more weight first because I'm scared I will lose a lot when I start doing a lot more of physical activity.
@rehband: And you can imagine it's hard to implement time for exercise with my schedule. I also don't want to stop playing as much football as I do now (2-3 times per week).
@rehband: No, my parents didn't want me to join one when I was younger because they were overprotective and when I was a bit older, it was too late, because everyone in the clubs seemed to be in there since their childhood. I just play with friends and teachers every week.
@rehband: Over here, there are annual football tournaments at each high school as well. As a pupil, I attended every year, and now as a teacher, I joined the teacher's team last year. :P
@rehband: Uni football matches are usually not so fun over here. At our uni, there are two "leagues" for students, one for "casual" teams and one for "serious" teams, but without any restrictions on "professional" players. A lot of teams in the casual league just consist of all "professional" players thus leaving other - actually - casual teams no chance. I don't really like that.
I have to go, bye to all. This Tuesday a have my fist exam in algebra. Thanks @TedShifrin and @DanielFischer. I'm somewhat dissapointed that the chances of characterizes the space are almost null
@rehband: A German friend of mine recently told me that by now, each of his former male class mates is playing in the Bundesliga, except for himself. He's wondering where he went wrong .___________.'
No way I will create a Google account! I don't do business with them :-) I tried to login using the Stackexchange login option. I did get a password renewal e-mail. But then it started creating me a new account on Math.SE with 1 rep :-)
So I had to delete cookies. Still get in here. If I try to login to Math.SE then I get that 1 rep account. Google? I won't let them collect data on my browsing habits.
@robjohn Maybe, but it's harder than anything similar I've ever seen, I mean there is no comparison term for that one, it's from another world.
Well, I might tame the beast in some way ...
$$\sum_{n=1}^\infty\frac{J_0(2 n \alpha_1 )J_0(2 n \alpha_2 )\cdots J_0(2 n \alpha_k )}{n^2} =\frac{\pi^2}{6}-k(\alpha_1+\alpha_2+\cdots+\alpha_k )+\frac{\alpha_1^2+\alpha_2^2+\cdots +\alpha_k^2}{k}$$
Rare case of serial upvoting? I just got three upvotes, all on old old answers that had exactly 9 upvotes. Seems like someone decided to go around giving out badges.
What are some good books on punctuation? Ideally, such a book should treat punctuation in both American English and British English. I have seen so many different rules in different books that I am confused what really is correct when it comes to punctuation.
I'm new in the area of the series involving Bessel function of the first kind. What are
the usual tools you would recommend me for computing such a series? Thanks.
$$\sum_{n=1}^{\infty} \frac{J_0(2n)}{n^2}$$
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