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6:02 PM
Hmm. Let me phrase is another way. If a condition is true for a set $A$, it is true for all subsets of $A$. It has something to do with the structure of the set $A$. For example, if a set $A$ is a group, then not all subsets of $A$ are groups. Here $f$ would be a function which checks if the argument is a group or not.

But now, suppose there is some property of a set $X$ determined by its structure and the situation is if a set $A$ satisfies that property, then so do all subsets of $A$ satisfy that property, is there a name for such thing?
 
@MarianoSuárez-Alvarez No.
 
@OrangeHarvester so, you mean $f:2^\Omega\to \{0,1\}$ where $\Omega$ is some universal space. Suppose, there is $A\in 2^\Omega$ such that $f(A) = 1$ implies $f(X) = 1$ for all $X\subseteq A$, right?
 
Do you need tensors, tensors for your products Ilya?
My advisor loves tensors. We tried to outclass each other in loving tensors.
 
@JonasTeuwen :)
 
In terms of number of pages he won... but...
 
6:07 PM
@Ilya Hmm. Kind of. I just realized then, it would have to be true for every singleton set then. So, what you wrote before was correct. But my actual question was different. Let me rephrase that again, and see if I can do that. :-)
I will take my time this time.
 
It is only not so good to be attracted to me as I barely can stand myself! If I would ever commit suicide and write a note, it would be "life is too long to spend with assholes".
 
well, use that as a conversation starter and he'll probably stop :P
 
:P.
That is a 9.2 on the scale of rhetorics.
 
who punctuates a smiley?! :D
 
I got a 9.95 a couple of weeks ago when a student mailed me and asked how you decide which method of integration has to be used for a given problem.
So I replied in a formal way and stated: 'Such a trick indeed exists. It is called: thinking. It also works in many other occasions. Perhaps you should give it a shot!'
@MarianoSuárez-Alvarez I always do.
 
6:15 PM
integration is had on students because there are no rules
(at least, they are never taught any)
 
There is a rule, it is called practice!
 
usually abstract linear algebra has the same effect, as it is the first abstract thng the learn and proving things about that is sort of free-form
yeah
 
The same holds for differentiation: you need to spot the pattern.
 
while it is obvious for you, it is not for many
 
And the rest is a mechanical trick, just as with integration but perhaps a bit harder, but the exercise you get...
Yes, that he asks such a question is 1) He did not listen to me saying it every class 2) No practice.
 
6:17 PM
in any case, telling people to think has the same effect as telling them «not to worry»
that is, none :)
 
If the question would be more specific in 'how to do <...>'.
 
but asking specific, precise questions is also an art
 
Yes. But I take offense in him not listening to me while I told him personally two times before.
 
you have to teach them to do it
 
Additionally, there are ~100 students and I am able to remember what they asked me, why they not what I told them personally.
Right, but they are not mathematics students and my task is to teach them calculus, not to be scientists. Other people are more qualified for that.
 
6:19 PM
asking correct questions is part of calculus
 
Mm, not here (for engineers). Here is this integral. 'Solve' it.
 
i am of the opinion, in fact, that teaching calculus is only useful to have some excuse to teach people how how think
well, if you teach them that way, you get what you got
 
How can you do that with so many?
I do have two BSc and one MSc student, that is much cooler.
In a one-on-one discussion you can do that.
 
it is much easier to teach people who are interested and motivated and know stuff
restricting one's effort to them is cheating, in a way
 
Yes, and I do not feel like it is my task to motivate them to study for the thing they like to do. I give interesting examples and different explanations.
The effort is lost in thin air, I prefer to spend that on people that actually do care! Like those two (not the third).
 
6:21 PM
most people with the interest and motivation in fact could do without us
it is the others that need the help
 
Mmm, they can do without, but they can make much quicker progress with help.
In any case, independent of the lecturer more than 60% fail for the exam the first time.
 
sure
but passing the exam is only part of it
 
That is all the care about.
 
lots of people pass examsn and do no tunderstad anything
 
'Is this on the exam' when you explain a cooler example.
With the answer 'no', most drop the pen.
Yes, as they do not care.
 
6:23 PM
cool examples are mostly a mastubatory activity on the part of the teacher
 
And I do not think it is my job to make them care.
Perhaps your cool ones are.
In this particular case it was giving some intuitive reasons why infinite sums of positive things can still be finite (by filling up a circle or so).
 
if you give an example and it is lost on 76% of the class, and you know this, then the example was more or less pointless
 
With 'cool' I mean 'not in the book'.
 
if they are going to be evaluated by what is in the book, and they know this, it is understandable that they do not care
 
I have no intrinsic reason to want to look or sound smart.
Yes, but they don't understand that either - no matter what you do.
 
6:25 PM
trust me, it does matter what you do
 
Okay - well, there are about 30 lecturers and all have about the same pass rate...
 
if there is one thing that has given me hope in humankind is seeing what students do
 
(same course across faculties)
Do shit? - Not make war.
 
if you really think there is nothing useful you can do, you might just as well do something else
teaching without faith is one of the worse activities there are
 
Like you are at the same party where most of the class is and the next morning in the lecture there is... one.
Indeed, so I do.
But I do not have the complete choice in that.
The 1-1 and research with the students is more fun.
 
6:27 PM
@JonasTeuwen What do engineering undergraduates undergo in math at TU delft? Proper analysis and linear algebra courses or a complete medley compressed into "Engineering Mathematics" on the line of Kreyszig?
 
@OrangeHarvester The latter :S.
 
Well, then I feel that is a part of the problem. (Having undergone the kreyszig thing myself.)
 
Depends - mathematics engineering go do some Springer GTM in the undergrad.
Yes, my advisor too, he even said it in his inaugural lecture 8-).
But one cannot chose the book. It is how it is.
Here is the schedule, do that.
 
Same at my uni it was.
 
And then 'don't bother too much, they will not listen anyway'.
Complex analysis for mathematics students was much better.
They actually ask a question which you can't read directly from the book 8-).
 
6:31 PM
That is cool.
 
And I do not know how I should 'motivate' people which do not want to be motivated.
 
Well, I don't
 
I do not feel that is my task. They come there to learn something, then I will help them with it, but if they come there to just sit through the lecture and play games or whatever...
 
I just treat them all like they are motivated
 
Even the ones that immediately open laptops?!
 
6:32 PM
I'd ask them to leave
 
Yep, then next time the class is empty.
 
well, so be it
explain to them what you expect from them
 
It is different with the physics students or aerospace engineering.
 
they'll respect you for that
I expect attention
all my students know it
 
Yes, that does not work with these.
 
6:34 PM
they are free to come or miss my classes
 
With the physics students it does.
 
and i have explained many times that I simply do not care if they do not come
 
The ones I talk about are from @Ilya his faculty.
 
@MarianoSuárez-Alvarez Well, here we have "compulsory attendance" :P
 
It's like the girl scouts.
 
6:34 PM
If I had compulsory attendance, I'd make them as present and tell them they can leave
 
We once had a very old professor. Very sour face.
 
Yeah, some profs do that.
 
And then some students talked to each other and laughed. He said: 'What is so funny? I like to laugh too :|'
'Knock know' Who is there? 'There is the door.'
I still prefer the 1-1.
 
it s a different game
 
As it really helps, not many bachelor students manage to get up to locally convex spaces and quantum fields.
(And write a paper about it too)
Alright, I go to a party. Tensor or categories, which book to take.
 
6:39 PM
Tensor.
My idea is to restructure the course. We are taught about beta functions and we do not get to use or even see them until we are well into masters program. And by that time, the analysis background is not good enough that the special functions can be learnt on their own. I would rather say that teach them some more basic hard core techniques in analysis and then trust the people to learn the special functions themselves when they get into masters course. Similarly for linear algebra.
But of course you said that is not possible, which is a shame, but if it helps, you might now understand their perspective.
 
Special functions are so fun.
Tensor is a bit tough in the evening, I'll take the categories.
 
They are fun only if you know how to navigate around them.
 
I used an ${}_1\!F_1$ to improve a doubling estimate in harmonic analysis :P.
 
Cool. Without the navigation skills, they are bunch of instructions, and if you get on wrong, you are lost.
 
Try harder then.
I leave, so see you later! Enjoy your day/morning/evening/night.
 
6:43 PM
Later!
 
7:24 PM
Hello! What does mean operation "#" between topological spaces?
 
knot sum?
 
Why did the troll remove that $2$...
Another upvote. Why God, why
Somebody is downvoting and upvoting
And now that chat message doesn't make sense at all.
 
@anon connected sum :)
 
7:47 PM
@Jonas: what. You talk about 3mE students and mentioned my name?
 
7:57 PM
How can I prove that$$\sum_{k=1}^nx^{\gcd(k,n)}=\sum_{d\mid n}\phi(\frac{n}{d})x^d$$
 
gcd(k,n) is always a divisor of n, and for any divisor d|n the number of k such that gcd(k,n)=d is equal to the number of generators of the unique cyclic subgroup of order n/d in a cyclic group of order n (since the order of k in Z/nZ is n/gcd(n,k)), which is equal to phi(n/d)
 
nvm i see
Ok I understand it all, except why is the number of $1\leq k\leq n$ such that $gcd(k,n)=d$ equal to $\phi(\frac{n}{d})$
I know the special case d=1 is true
because thats how I define the phi function
nvm I just proved that, thanks for the help anon
 
8:39 PM
Hi @WillJagy How are your doings?
 
Is there an easy way to show that $L_{m}(l_1,\ldots,l_n) / S^1 = \mathbb{C}P^{n}$? ($L_m$ here is a lens space)
 
8:58 PM
any idea how to find galois group of $x^n+1 \in \mathbb Q$
the roots of the given irreducible polynomial in $\mathbb Q $ are , $+/-\sqrt{i} , i, \frac{\sqrt{3}}{2}+\frac{i}{2} $
 
@Theorem not sure about the Galois group, but they can't be the zeros of the polynomial you gave
 
@OldJohn oops there is a mistake here , $n=4 $
 
@Theorem OK - but the zero you gave a with $\sqrt{3}$ in it is not a zero of that even if $n=4$
 
@OldJohn : that was a typo , it should be $\frac{\sqrt{3}}{2}{}+\frac{i}{\sqrt{2}}$
 
The galois group of Q adjoin a primitive nth root of -1 should be the group of units of Z/2nZ.
 
9:07 PM
@Theorem If you are looking for the zeros of $z^4+1$, they are $\pm 1/\sqrt{2} \pm i/\sqrt{2}$
 
@anon : yes , but here my case is $n=4$
 
no $\sqrt{3}$ in any of them
 
@Theorem why do you use the word "but"?
 
@anon :P
@anon my english is quite bad :(
 
user19161
Also, no need to use @ everyline @theorem, LOL.
 
9:10 PM
@JasonBourne : :D
 
Hi @JasonBourne How are things?
 
user19161
@OldJohn Well, I am the same, which means very bad. But I am still trying...
 
@JasonBourne Good - I am very trying too, sometimes :)
 
user19161
@OldJohn I hope to be back on this site in a few days time.
 
@OldJohn, the crossword says a repeated cry of Mercutio in Romeo and Juliet is asail, which I think is A Sail in two words. getting book...
Just before Mercutio dies
 
9:19 PM
@JasonBourne good
 
user19161
@OldJohn With only one account to care about now, I might as well aim for 30k this year!
 
@JasonBourne Absolutely!
@WillJagy Hmm - not seen asail with only one "s" - but you might be right
@JasonBourne I don't set myself targets - at my age, my aim is to enjoy the rest of my life, and achieving a certain level of rep here is pretty low on that scale :)
 
user19161
@OldJohn Haha, you might live to 100!
 
@JasonBourne possible, but unlikely, given my genetic history and lifestyle :)
 
@anon : I think the the galois group is isomorph to $\mathbb Z_2 \times \mathbb Z_2$
every automorphism is of order 2
 
9:24 PM
@Theorem I would agree with that
(but is many years since I did any Galois theory - so listen to what anon might say, rather than me!)
 
user19161
@OldJohn I studied Galois theory from Lang's Algebra, LOL.
 
user19161
Some say that is the only good chapter in that book.
 
@JasonBourne I have never read that one - but I have Lang's Complex Analysis and think it is one of the worst books on the subject I have read
 
user19161
Hey @anon what classes are you doing this semester?
 
@OldJohn : the galois extension is $\mathbb Q(\sqrt{2}, i)$ so it seemed quite straight forward . But i want to confirm if i am right . i often get confused while computing galois groups
 
user19161
9:26 PM
@OldJohn I dislike all of Lang's books, not that I have read any in detail.
 
@OldJohn, act 2, scene 3
Romeo: Here's goodly gear!
....enter Nurse and her man Peter
Mercutio: A sail, a sail, a sail!
Benvolio: Two, two; a shirt and a smock
=-=-=-=-=-= string of lame jokes and puns suitable to the time and language
 
I am taking differential geometry, abstract algebra II, number theory & cryptography, and p-adic analysis.
 
@Theorem pretty sure you are right - that has to be the right extension field
 
user19161
@anon Wow, they let you take that in the first year?
 
@WillJagy well done!
 
9:29 PM
@OldJohn : Thanks !
@anon : are u taking these courses as 1st year master student or bachelor student .
 
@JasonBourne one thing I have learned in school is that every rule has an exception, if you know the rulemakers
4
 
@Theorem when it comes to things like Galois groups, I am a bit of a caveman - I like to be able to list (mentally or on paper) things like the actual field extensions and automorphisms
 
@OldJohn : Same here , i did write it down and mapped around the roots :D
 
user19161
@anon Ah, anyway, if I could start all over, I would take all the math courses offered in the right order, just telling you.
 
@JasonBourne : I get very often confused about which course to take
 
9:32 PM
@Theorem :)
 
user19161
@Theorem Take all the math courses, every one of them! Really.
 
@Theorem - where are you from? - you said your language is not English?
 
@OldJohn, it is clear that they are just fucking around. There is a bit about shoes that I mostly understand, but I don't get this part. Also, and this cannot be a coincidence, as i was holding it, my 1250 page all Shakespeare in one book cracked at the spine in exactly that page. Well, some other places too, the glue has given up. I guess that is why real books were sewn through, to avoid losing pages
 
user19161
@OldJohn He just said his E is not good.
 
@JasonBourne : Thats true , i would like to but i cannot manage to take every courses and write exams :(
 
user19161
9:34 PM
@Theorem And take as few non-math as possible, but some are part of requirements.
 
@JasonBourne I take that to be the same thing - unless one is admitting that one struggles with one's own language :)
 
user19161
@OldJohn Oh well, I am not sure if Americans and British consider me to be a "native speaker" or not!
 
@OldJohn : I am half german and half indian :D
 
@WillJagy I hate it when books do that
 
@OldJohn : How do u find my english ?
 
user19161
9:37 PM
@Theorem It is alright.
 
@Theorem very good -much better than my german/hindi/urdu/punjabi/sanskrit/...
 
user19161
@OldJohn OMG, so many!
 
@JasonBourne I only actually know one of that list (and about 3 words of Urdu)
 
user19161
@OldJohn I know a few Tamil curse words.
 
@Jason : Hopefully i will be able to do well in my GRE next year
 
9:38 PM
@OldJohn, now I have a section of pages fallen out of the book, Romeo and Juliet II.iii to King Henry the Fourth Part I: IV.i. Well, I will just push them back in and return to bookshelf. If I spent much time reading Shakespeare I would have better editions.
 
@JasonBourne : How come u know Tamil ??
 
user19161
@Theorem Ah, that is my secret! I am very mysterious...
 
although I suspect I do know a few more words of Urdu - those which are identical to Persian - I just don't know which Urdu words are the same as Persian :)
 
@OldJohn : I find sanskrit fascinating .
@OldJohn : Are u from England ?
@JasonBourne : Please spill out your secret
 
@Theorem I once bought A book on Sanskrit: "Learn Sanskrit in 30 days" - just because of the title - thought it had to be a joke!
@Theorem yes
 
user19161
9:40 PM
@Theorem NO
 
@JasonBourne : i doubt if u have ever gone to Tamilnadu , chennai :D
 
@WillJagy Could be fun reading Shakespeare with randomised pages - that could be surreal!
 
@Theorem Are you from Chennai?
 
user19161
@Theorem Haha, I have many secrets. You have no idea what I have gone through this life...
 
@OrangeHarvester : Nope , i lived in Bangalore , but don't ask me if i know kannada :P
@JasonBourne : You are killing me , u have to tell me your tamil secret
 
9:42 PM
@Theorem Lol. Hmm. I am originally from Nagpur. Right now in Pune. What do you do?
 
@JasonBourne : Its not like schrödingers cat paradox or curiosity kills the cat :D
@OrangeHarvester : I am a mathematics undergrad
 
user19161
I am a banana.
 
@Theorem Okay, where? (If you don't mind.) I am an engineering graduate from VNIT.
 
I am not orange
 
user19161
I was a banana long before @orange became an orange.
 
9:44 PM
@OrangeHarvester : i am doing in Technical University , Germany
@JasonBourne : haha
 
I know these two youngsters from Hyderabad, originally through MO but later Facebook. One of them was a prize winner in Latin and Greek and had an invitation to some world linguistics contest in Europe somewhere, but could not arrange funding. Now he is doing some sort of engineering at mit manipal. I guess he likes it ok, but he does all sorts of side things with language, school newspaper, website, whatever.
 
user19161
@Theorem My favourite country! I hope to be born there next life, LOL.
 
@Theorem Ahh. Cool.
 
@JasonBourne : You seem to like india a lot :D
@OrangeHarvester : what do u study in engineering ?
 
user19161
@Theorem No. I like Germany.
 
9:46 PM
:P
 
@Theorem Electronics/Communication
 
@JasonBourne : Ah great .
 
@WillJagy Interesting. Linguistic and Math?
 
@JasonBourne The food there is as bad as English food! - choose somewhere with better cuisine!
 
The other one is in mathematics in Bangalore, ISI or something. I tried to arrange for him to meet Ken Ono, who was there twice for Ramanujan's 125'th birthday, but nothing came of that.
 
user19161
9:47 PM
@OldJohn Haha, is it true that you only eat fish and chips? =)
 
@WillJagy : ISI is a nice place for mathematics and stat.
 
@JasonBourne no - we have lots of other dishes - but they are mostly worse than fish and chips :(
 
@WillJagy ISI is a good institute.
 
user19161
@OldJohn Haha, the fish and chips in some restaurants here are worse than those in cheap hawker centres.
 
@OrangeHarvester, yes. He was disappointed but said that the exams in India write your whole future, and his came up engineering. So that is the one in Manipal. The one in ISI has always hoped to come to the US for graduate school, but that is tough, and nothing with which I can help.
 
9:48 PM
@JasonBourne very little of the food cooked in my house is actually English in any sense - fortunately
 
user19161
@OldJohn I eat almost the same thing every day: rice, chicken, egg, spinach, banana.
 
@WillJagy : thats true , even when i came for undergraduate study in germany it was pretty difficult .
 
@WillJagy, prize winner in Latin/languages but on MO?
 
I prefer to come to US for my graduate study :D
 
@WillJagy Yes. That is sadly very true (about the exams).
 
9:50 PM
@JasonBourne My step-son is fly to Batam island right now - that is close to you?
 
user19161
@OldJohn Well, pretty close. I have a friend who is a citizen of X, works in Y and comes here Z during the weekends because his family is here.
 
@WillJagy : Ken Ono is professor in Emory University right ?
 
@JasonBourne My step-son is flying there tonight as part of his job (he works in Abu Dhabi) - he will only be there for 2-3 weeks
 
My close friend is doing Phd in emory
 
@Sanchez, no, Kody spent some time on MO, he is at ISI, his friend Athyu with the languages is at Manipal. The interesting thing is the extent to which these kids identify themselves with American modern culture rather than British. I would not have predicted that. The two flavors of rigidity that have been mentioned are exams and college, then marriage, evidently American style dating is frowned upon. So, while there are matchmaking websites, as in U.S. match.com or eharmony.com, the result is
 
9:54 PM
@WillJagy, I see.
 
@WillJagy : U have got it right .
 
@Theorem, yes, at Emory. There seemed to be a connection between Ono and Kody, but it came to nothing in the end. Kody has some two years or so to arrange graduate school, so the story is not over. I would like to see him do well.
 
@WillJagy : Thats nice :)
 
@Theorem, Kody had this obsession with cow urine for a while. I told him I only drink it for the taste.
 
@WillJagy : hehe, lots of people drink for some health purpose . i have milked cows once .
 
10:00 PM
@Theorem I grew up on a farm - milking cows and drinking freshly "squeezed" milk was normal
 
@WillJagy : But it smells and i think u just have to close ur eyes and gulp :D
@OldJohn : I love that rather than opening a tetra pack
 
@OldJohn My mom grew up on a farm, and I would go there when I was a young kid. I did not like that freshly squeezed milk.
 
@OrangeHarvester yeah - it is probably not that healthy - I think I have TB antibodies due to it
 
@OldJohn, it is part of some discipline called Ayurveda to drink the urine rather than the milk. I do not see the appeal. blogs.discovery.com/animal_news/2009/08/cow-urine-soda.html
 
which probably means I had exposure to TB at an early age
@WillJagy Yep - not seen the appeal (or logic) behind Ayurveda either
 
10:04 PM
@WillJagy : I think it shouldn't be a random cow , there might be some conditions
 
@OldJohn Urine stuff I am not really familiar with and then there are distortions over the centuries. But some stuff is quite useful and well known. Actually there was a patent battle between some university and Indian government over the use of turmeric. Indian Government said it was well known traditional knowledge while the university insisted it was novel. It lead to creation of Traditional Knowledge Data Library for such stuff. It is basically accumulated empirical knowledge.
 
@Theorem, certainly. This is regarded as a health practice, I would expect all sorts of rules, both religious and practical: I am having trouble finding a page from any publication actually located in India about this, but this is not far off: ancientayurved.org/index.php?do=/blog/1308/…
 
@OrangeHarvester Interesting - I use quite a lot of turmeric in my cooking - so I guess my Ayurvedic comment above was rather misleading :)
 
@OrangeHarvester, my high-school friend Marty (Martin) who is a gastroenterologist says turmeric is vey good for something. Which, I admit, I cannot remember. My diet is so restricted already i do not go throwing in new things. Same with OldJohn.
 
@WillJagy Yeah, a lot of turmeric causes acidity, and hence, we have prescriptions like whenever you put turmeric in something, you have to put a "anupaan", something which cancels out the acidity and stuff. Every preparation has kind of a different "anupaan".
 
10:11 PM
@WillJagy : thats right , i have been to some of ayurvedic centres , and my relatives have some naturopath clinic in Nepal .
i find it pretty interesting , not always convincing but good enough to surprise me
 
@WillJagy Not exactly true when you say "same for old john" - I throw in anything that paleolithic man might have eaten - even if it is very new to me :)
e.g. I ate some camel recently in Abu Dhabi
 
@OldJohn How was it?
 
@OrangeHarvester very tasty - actually reminded me a bit of reindeer :)
 
@OldJohn Cool. It tempts me to eat some now. :-)
 
@OrangeHarvester :)
 
10:14 PM
am i the only vegetarian out here :P
 
@Theorem I would not be surprised. :P
 
@OrangeHarvester UCLA Study: prevent alzheimer's...also anti-inflammatory
 
Ok , i have to go . gnt @WillJagy @OldJohn @OrangeHarvester
 
@Theorem Good Night.
 
@Theorem bye for now!
 
10:18 PM
@WillJagy Nice. I remember that it is not very sure shot though.
 
My attitude to adding stuff like turmeric, cinnamon, garlic, ginger to my diet is: the studies might be wrong, but I like the flavours, so I add plenty of them, and if they actually do me some good ... great!
Is chilli supposed to be good for anything? (I love it)
 
@OldJohn Chilli is very good for tropical people to keep away from worms and similar stuff. Basically, in tropics, due to hot and humid temperatures, bacterial growth can be a big problem, chilli helps against that.
Hence, generally tropical cuisines are high in chilli content and other spices.
 
@OrangeHarvester hmm - but not so beneficial in cold, wet NW UK ... never mind
 
@OrangeHarvester, Marty thinks in the long term. Most of his training was usual Western style. Then he hurt his shoulder, and began having trouble doing the procedures, the main one being endoscope. So he is gradually leaving the procedures to his office colleagues and focussing on prevention.
Let's see. In prevention, no single thing is guaranteed. so @OldJohn has a certain type of diet which I would probably be unwilling to do. For my part, I take fish-oil capsules and eat little red meat, as my main troubles are in the area of cholesterol and diabetes. However, my father did get Alzheimer's, something to think about.
 
@anon - I am disappointed that your question has not generated more interest - been looking through my p-adic analysis book , but to no avail
 
10:28 PM
@WillJagy Ahaa. In India around a decade or two ago, there was a big divide between Western Style and Ayurveda, not in the least because of the fraudelant claims about Ayurveda by dishonest people. However, now we have a good synergy between the two.
 
@WillJagy not sure about the cholesterol, but I am pretty sure the paleo-diet has the diabetes thing cracked - hopefully
 
@OldJohn I can prove a converse of my intuition: if the exponents (corresponding to nonzero coefficients) in a p-adic expansion of $x$, as a subset of $\bf Q$, additively generate a discrete and hence cyclic subgroup (generated by say the rational $u=t/s$), then $x\in{\bf Q}_p(p^{1/s})$ is algebraic, as it can be written as a ${\bf Q}_p$-linear combination of $p^{1/s},p^{2/s},\cdots,p^{(s-1)/s}$ (simply sift the terms $a_{e/s}p^{e/s}$ according to the residue class of $e$ mod $s$).
(Note the value group of ${\bf C}_p$ is $\bf Q$.)
My professor emailed me the example of $a_n=\sum_{k=1}^n p^{1+1/2+\cdots+1/k}$ being a sequence of algebraics that converges to a transcendental element of ${\bf C}_p$.
 
@anon right - do you think it is worth adding that as an edit to the question?
 
I am already planning that. They key is to time it, as my ulterior motive is garnering more attention.
(I posted it at a bad time to receive attention, unfortunately.)
 
@anon Maybe add the edit more than 24 hours after the post - and at a time when the US is mostly online?
 
10:35 PM
right
 
@OldJohn, yeah, I'm on the edge, two readings (out of some six years) a hair too high out of about ten Hgb A1c tests. Various people have told me, fuck that, you do not have diabetes. Which is nice to hear. They are making my sister Susan check her blood(fingertip) every day, but no pills or injections yet.
 
I will continue scanning through my book - Robert: "A Course in p-adic Analysis" (but much of it is beyond my current understanding!)
@WillJagy Yeah - I would rather make significant changes to my lifestyle and diet, rather than go down the pills/injection route
 
@OldJohn, I heard that those are one-way, once you are on insulin shots you are always on insulin.
 
@anon do you use Texworks?
 
yes
 
10:41 PM
@WillJagy but some recent research has shown that a 600 calorie-per-day diet (for several weeks) can actually reverse that -but it must be bloody tough!
 
@OldJohn, Azarenka beat Li in the Australian tennis final, Djocovic-Murray is about midnight my time, i guess about 8 am your time.
I still tweak my diet, but it is wearying. I do cheat, mostly on lunch, just a matter of low frequency
Note that Azarenka's weird Banshee howl should be banned.
 
@WillJagy Murray - Federer was interesting - watched it yesterday over a very long breakfast. Not convinced Murray has yet got the balls to beat Djokovic ... if you forgive the pun
@WillJagy why is it the women tennis players do the howl more than the men?
 
@anon when ever I try to open up somthing I wrote in texworks in adobe reader, I get "there was an error in opening this document, the file is damaged and cannot be repaired", also I cant load a preview of what I typed either, could you help me?
 
@WillJagy And sharapova's too. Actually, there IS a rule now I think. But when azarenka was asked about it, she reportedly said, "Good luck implementing that."
 
@Ethan what happens when you try to load the preview?
 
10:46 PM
@OldJohn It is purely a psychological tool/weapon. Sharapova has been known to grunt even when hitting a drop shot.
 
It says "failed to load file '(name).pdf', perhaps it is not a valid pdf document"
 
Actually a bit closer to Glinda the Good Witch from movie Wizard of Oz.
I don't see Murray doing it.
i don't know who started the howling. Some of the women announcers talk about gradually banning it, how you probably can't do anything about it for current professionals, but you have a chance with today's twelve-year-old tennis prodigies.
 
user19161
@Ethan Paste your code here.
 
@WillJagy sounds sensible
 
@JasonBourne why? and besides its to long to paste
 
10:47 PM
actually, use pastebin. don't paste an entire document's code in a chatroom...
 
@JasonBourne Chat Rules duuude. :-)
 
@OldJohn, I know in karate they do those yells, I guess it is like that. Really creepy, though.
 
@anon can I just email you the code?
or wait
 
@WillJagy indeed!
 
user19161
@anon It just displays as ... (see more) or sth like that.
 
10:49 PM
:7848916 woot? email would be better. You really shouldn't trust @anon, they hack into the computers anyway. :P
 
@JasonBourne (a) it may hit a character limit and (b) it will force reading the doc code and the chatroom to be de facto mutually exclusive.
 
@OldJohn, I called Marty about the turmeric mostly; but he confirmed that his mother liked the decaf teabags from Ireland, so that worked well
 
user19161
@OrangeHarvester Rules don't apply when I am here. QED.
 
@WillJagy How long does it take for someone with bad eating habits and sedentary lifestyle to develop diabetes? I have had somewhat bad eating habits and not much exercise for around 2 months. Is that very bad?
 
@WillJagy excellent!
@OrangeHarvester probably 20 years would do it - 2 months is nothing!!
 
user19161
10:50 PM
@Ethan How many char is it?
 
@OldJohn Ahh. Good. I never had to care about my eating habits when I was home. Now, I have to do, and it took me sometime to adjust.
 
@OrangeHarvester, no guarantees either way, and age is a big part of it anyway. Plenty of people develop diabetes after, say, 50 years old, having kept constant habits for decades. Meanwhile, my sister Linda does not have any diabetes, despit the worst habits imagineable, just lying around or eating.
 
user19161
@ethan Oh well I guess the great anon is helping you now, so I should just STFU.
 
@anon I appreciate your help, also if you want advice on a long (like a page or 2) proof whats the best way to get it?
 
a page or two is not a terribly long proof. seek advice like you normally would.
 
10:55 PM
I normally get advice from here lol
 
user19161
@Ethan So you have learnt to use TeX finally! Well done!
 
@OldJohn, Azarenka also gets supernatural energy from that Red Foo guy, foxnews.com/sports/2013/01/26/…
 
user19161
@Ethan Try to post it here after shortening it.
 
user19161
@WillJagy By the way, did you know Old John in real life before this site?
 
@JasonBourne I can't get a preview of it, in tex
 
user19161
10:58 PM
@Ethan I mean, on the main site.
 
@WillJagy darn - I wish I had watched that match on TV
 
user19161
Or is it crashing?
 
@JasonBourne nope - but we do seem to have similar interests and sense-of-humour
 
user19161
@OldJohn Ah, because I always see you and him talking to each other intimately!
 
@JasonBourne, no, but there is this mystic portal used by the Wise, called email.
 
user19161
11:02 PM
By the way @ethan are you using latexmk with TeXworks or just pdflatex, or sth else?
 
@WillJagy and a less mystic portal called BookFace - or something ...
 
user19161
@WillJagy Guess what? I use it too! That's where I share all my secrets!
 
user19161
@OldJohn Ah, I have no account there...
 
@JasonBourne texworks with pdflatex
 
user19161
@Ethan Ah, just note that you may need to run it more than once sometimes...
 
11:05 PM
@Ilya Yes, they are your peasants.
I hAS RETURNED
 
Have to go and watch some football highlights - back later
 
Alright.
 
user19161
@JonasTeuwen Ilya will correct that line.
 
11:20 PM
Ok... so I'm going to be competing in the COMAP undergraduate modeling competition next week(end) (http://www.comap.com/undergraduate/contests/mcm/).

However, I've never really done that sort of thing before. :) Any advice to a beginner in mathematical modeling?
 
don't trip on the runway
 
If they are better than you in modelling, be sure you are better at fighting.
 
user19161
11:36 PM
Chinese New Year is in two weeks time. Perhaps @anon will change to something Eastern.
 
11:50 PM
@JasonBourne You are back to blue
 
user19161
@math101 Yeah, I change all the time. The colour is not representative of anything. =)
 
back
 
user19161
@OldJohn By the way, is your kitchen finally in order after the reno?
 
@JasonBourne Oh yes - completely functional again - and really pleased with the new version.
just need some nice weather - or a holiday somewhere warm :)
 
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