@MattN That's gotten far enough to include 4 pages (not complete) on compact sets, some exercises and stuff. I am planning to complete these as a prelude to a report I must be writing for not less than 45 pages this summer.
@KannappanSampath One thing this allows you to do is to write \begin{defn}[Partition] . This gives results like in my remark 2.4 or proposition 2.15, for example.
However, I'd rather not look too closely at the source...
(There's nothing wrong with it at first sight, but I doubt I could be of real help while keeping this within reasonable limits of effort invested by myself).
Adidas are evil. They no longer make my shoes. I've been wearing this model for like 10 years. Now they screwed my life because I have to try on shoes when I want to buy some. What a pain.
And I liked the round shape of the others. I don't ingest huge quantities of crispbread, so I had a metal box where they fit in exactly (out of pure luck). This doesn't work with the rectangular ones :)
@tb That was swift, before I could write a comment about that.
@tb I should tell you I have then been taking the advice from the right person, as I like to write detailed elaborate and coherent piece of thing, although I have never succeeded even once.
@KannappanSampath Actually, it was responsible for my joining MO and math.SE a little later... A buddy of mine pointed out that it was featured in one MO answer. Don't miss the comments on the accepted answer :)
@KannappanSampath It is a lot of work and involves enduring a long time of frustration and desperation. But when it finally turns out okay, well, then... :) Don't forget that I'm about twice as old as you are... Don't be too ambitious when starting out. Stick to short things and try to improve them. It's easier to have coherent 5-10 pages than more.
@MattN Well, I've was considering visiting the two Delft guys. But Jonas's descriptions of his Whisky, sigh
@tb I am in the first two stages of italicised words still. What I find is, there is no single book that proves the equivalence of the definitions of integrals Darboux and Riemann. So, I thought I'll write that up for the blog. The 5-10 pages comment, I think I have once written close to 30 pages of short lectures on Analysis but all of which had atmost two page of coherent details.
@MattN well, writing expository stuff is frustrating because it is highly undervalued and things never seem to come out as beautifully as you intended them to be. Research is frustrating in completely different ways (and different people find completely different aspects of it frustrating).
@tb undervalued? But why does my mentor spend so much time writing those small expository notes for the Resonance which he edits jointly with several people. (thinking aloud)
@KannappanSampath Well, it all has to do with this pressure of publication. People don't even think expository papers count... While writing up the latest brain fart of yours and getting it published in a crappy journal counts...
@tb I would think not producing anything for a while because you have a dry spell is emotionally hard to deal with. The problem is probably that if it's bad enough one might go into a down spiral.
But I'm sure there are plenty of other aspects that can be frustrating.
Such as having to deal with funding or correcting exams both eating up your time.
@MattN Well, this is most annoying. One of the main problems is to find big slabs of time where you can think properly. Having a dry spell is something you have to get used to over time. As the average person you simply don't have one good idea per year.
@KannappanSampath But isn't it sad that you have to be old enough to spend time on this? Wouldn't it be way more worthwhile to let young people think instead of forcing them to produce worthless crap?
But I think I should stop here, lest I start ranting...
@tb I think yes. But in the place where I study, I think newer professors are to publish $x$ number of papers every quarter. (Not sure what $x$ could be!)
I wonder why not everything can be effortless and pain free like languages and music. : D
I had a really good day today. Helping others during class is fun and the teacher told me today that he thinks the class is probably well below my head and gave me tips on how to improve myself to become total awesome : D (I've not done any homework during the last 2 years but since he made an effort to help me I think I might start doing homework again)
@MattN This sounds great :) But isn't the effortlessness linked to the fact that you don't have to do it and you don't depend on reaching a certain level in a limited time frame?
@KannappanSampath Originally I wanted to learn it while in high school but I never gave it high enough priority. Then I ended up having a half-Japanese partner and I jumped at the opportunity. I ended up liking it so much that even though the thing ended I kept on learning the language : )
@tb I'm not sure. I think both. Maths would be less painful for me if I didn't have any frames. But to me learning a language is basically effortless, with or without time frames. Well, of course, realistic time frame. If my life depended on it and I'd have 1 month to be fluent in Chinese I'd probably stab myself in the guts to end the misery early.
@MattN Well, much as I enjoy playing the piano, it certainly hasn't been effortless to learn to do so. And language education has in my experience always been painful.
@MattN Well, it's not as if it's the teachers' fault that the German people have collectively decided to develop a form of communication with three genders in it ...
@tb I have. As far as I remember, he's making far too much of a fuss over grammar and word order. Those are the easy parts. The painful one is acquiring a vocabulary.
@HenningMakholm Maybe... Since both the hard part and the easy parts came naturally to me, I'm in no position to judge. Nevertheless I could relate to what he's describing.
@KannappanSampath what do those cat's ears signify?
i have no interest in learning a language other than organically....when i worked with people from mexico, i learned how to speak enough spanish to talk to them. i don't see why any other language-learning experience should be different.
That's great fun. Homestays are fun too. Although, greatly depends on the country. I wouldn't do another homestay in the UK. And I wouldn't do a homestay in the states.
@MattN No matter how tolerant and forgiving, it would be inconsiderate of the guest to arrive with as little a capacity to make the stay somewhat interesting for the hosts as I would.
we don't often realize it, but our brains come with a lot of stuff "pre-loaded". there are a lot of kinds of knowledge we acquire only semi-consciously
@MattN Spit has never struck me as a problem frequent enough to be relevant. Glass tends to dull when it's kicked around in the street for a few days. Cigarettes generally stopped burning after they're not being sucked on (back in the century when they were common). Also, looking where you step helps in each case.
@MattN well, I still don't follow. I don't see that many people spitting around here and I never feared stepping into spit. Chewing gums, well, but spitting?
Just for the record: I think I'd much rather step into dog poo than into someone's spit. I think spit is the single most disgusting thing on the face of earth (apart from puke) and stepping into one would make me gag. (Has made me gag in the past, actually.)
Come to think of books: my Bourne trilogy arrived yesterday. Now all I need to do is make it to the end of Arabian Nights and hope the Bourne books are more entertaining to read.
@KannappanSampath It is a good talk (I thoroughly enjoyed what's going on around 20-25 minutes into it). However, thinking about how often the guy must have rehearsed and practiced it makes my toes crawl...
@Gigili not at all. there's nothing remarkble at all about spit. being uncomfortable about "spit" indicates a basic ignorance of the fact you are continually tasting and swallowing your own
@DavidWheeler Well, being more antsy about other people's bodily fluids than about one's own strikes me as an evolutionary sound procautionary instinct against too easy spread of infectuous diseases.
it's perfectly natural to be squeamish about other people's bodily whatever, until you have determined their health....other mammals do this all the time
@DavidWheeler But it stands to reason that it is easier for nature simply to create a general squeamishness about foreign bodily fluids, no matter what the health of the foreigner. Adding exceptions for foreigner that you have determined (how?) to be in good health would be extra work for evolution, with no particular benefit that I can see.
@DylanMoreland I don't think so. The only value I see in it is that one can point the concept of accepting an answer out to new users if they haven't grasped this basic feature of the site.
It seems to me that you're not arguing so much that we ought to allow ourselves to be animals, but that we all ought to make a conscious, reason-based effort to be less squeamish than our natural instincts tell us to be.
@HenningMakholm I think the reason why language & music both seem effortless is because I'm good at copying. Now how do I copy maths off someone if I can't look into their head and see what's going on?
@tb I agree -- however, the possibility of the answer only being accepted because someone is bullying the OP to keep his accept rate up, seems to cheapen that feeling.
@HenningMakholm kids do all sorts of stuff that adults would classify as "gross". i would argue that the children already have the natural instincts, it's the adults' behavior that is culturally imposed.
@HenningMakholm I agree with that, too. To me the most annoying thing is when I give a thorough answer excluding all the trivialities that may have escaped the OP and the OP accepts a short answer that is simply going for a cheapo...
@DavidWheeler I's assuming your thesis is that, for example, Matt's strong reaction to saliva is culturally acquired. Which, I think, overlooks the fact that (as far as I can tell) it seems a bit exaggerated to the rest of us. If it was a cultural thing, wouldn't we all have it? Or is Matt the only civilized person around here?
@leo No, the snow is gone now (for good, hopefully), but it still is quite cold. We had the first nice week in a long time where you could dare to step out of the house without scarf
@DavidWheeler If you think being able to abide spit or not is necessarily a cultural trait that can be influenced by your arguments, wouldn't it follow from the same reasoning that liking boys or not liking boys is similarly a culturally acquired thing (as opposed to, for example, an expression of statistical variation with no discernible single course), and that you could talk people into (or out of) being gay?
that's too simplistic...we have instincts, and we have traits we learn, and then we have personal preferences (based on specific influences or unique experiences), some of these areas "overlap" leading to complex variations in behavior
@DavidWheeler And yet you seem to be assigning attitude-towards-spit to one particular of these categories, based essentially on .. on what, actually? Your own bare assertion?
@DavidWheeler Then I'm afraid I still don't see what your original point was. It looked to me that you were trying to convince Matt, by reasoned argument, that he ought to stop being revulsed by spit?