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<0> Younix: seriously, i don't know. <1> whats 2+2? <0> Younix: 4 <1> MATHZ! <0> Younix: i guess <1> yarly <0> Younix: you probably know more than me. i really don't know anything other than basic arithematic. <1> same here <1> i don't care to know, really <1> i can find out anytime <1> googel teh wabz <0> Younix: i care to learn now. but i think it will take a lot of effort for me. <1> probably <2> Better <0> i ***umed that to read 'Zakons Basic Math' i need to learn 'Foundations of math'. But, i've found out that 'Foundations of math' is actually a whole research discipline itself! <0> so, my question is what is the prerequisite for 'Foundations of math'?
<2> Well <2> That's referring to like, the theoretical/philosophical/logical foundations <2> Which are not basic math <3> actually, first study a whole bunch of normal math before starting on foundations <0> and, actually i don't know arithematic either. i tried to read 'A course in arithematic' but i coudn't understand the first page. <3> otherwise, you won't see the point <3> that's not Serre's book is it? <2> Heh <0> lieven: 'A course in arithematic'? <0> lieven: yes it is <3> it uses the french definition of arithmetic and it's graduate level <2> :D <0> lieven: i don't know arithematic <0> lieven: i know NOTHING about math <3> a graduate student could go through it at about a page per hour :) <0> lieven: i think i'll try to read a book on logic and try to get familiar with notations. <2> sleep time <3> pyenos: you could start with Hardy & Wright's book on number theory <0> lieven: what's the title? <3> Introduction to the Theory of Numbers <3> it's a more reasonable start to number theory than Serre :) <0> lieven: holy **** <0> lieven: i have that book <0> lieven: i've been collecting ebooks <0> lieven: although i can't read them. i searched and it is there <0> lieven: but my aim is not to learn number theory. but to understand math notations. <0> lieven: shouldn't reading 'introduction to the theroy of numbers' be a distraction? <0> lieven: because i need to learn basic notations and fully understand and able to use them. <3> notation is not really what mathematics is about, so I don't really see your point <3> I mean, the phrase 'by abuse of notation' is notorious in higher level of texts. <0> lieven: how can i understand math text without fully understanding notations and symbols used in the text? <3> most introductory books explain their notation at the beginning <0> lieven: i've been trying to read 'Zakon basic math concepts' and i stopped <0> lieven: because i was not satisfied with the explanation on set theory notations. <3> if you don't care about the topic, Munkres's Topology has a very good introduction to math concepts and notation. <0> lieven: ty. i have that book too <4> Ugh. I have that book. <0> |Steve|: i didn't read a single page from it <3> pyenos: what's your problem with the Zakon text? Scanning through it diagonally doesn't find any problems <0> lieven: i want explanation on all the possible ways to use set theory notations and when not to use them <3> pyenos: notation just isn't that standardized. every author has a lot of latitude in notation and terminology. <0> lieven: i tried to translate every sentence in that book from english or a combination of math symbols and english to only math symbols. and, i couldn't do it. <0> so i stopped reading. <3> take blackboard bold N and blackboard bold N_0. if you're taught in the french tradition like me that means the numbers 0,1,2,... and 1,2,.... respectively. there's another convention which does that the opposite way. <0> lieven: that's really confusing... i understood what you wrote, though. <0> lieven: i wasn't taught math in a formal way and i'm not a good student. <0> lieven: literally, i don't have math tradition and i know nothing. <0> lieven: but i want to learn small things completely, because i think that's all i can do at the moment. <0> lieven: maybe i'll stick to one tradition, like french and learn it. <0> 'by abuse of notation': how can did be? if you can translate without loss of information between one formal system to another?/? there shouldn't be such athing! <0> there is no such thing a 'by abuse of notation'. <0> unless there is loss of information during translation <0> if there is, then i won't use these notations! neither english nor math symbols! <3> do you know what a group is? <0> lieven: no <0> lieven: you can ***ume that i don't know anything. <0> lieven: only part of conversational english <0> lieven: which book do you recommend to the most inferior math student candidate?
<0> lieven: because i need that book <3> no idea. You seem to be a bit to occupied with formalism for a beginning math student. <0> lieven: i need formalism to learn, because i'm inferior. <0> lieven: i can't accept anything unless i understand the previous concept. <0> lieven: i don't have a brilliant insight. <0> lieven: so... i'll ***ume that you can't recommend the book for me. tyvm for your information. <3> formalism and axiomatics aren't tools to learn a subject, they're tools for ordering it. <0> lieven: i don't understand. <0> lieven: i don't think it is possible to learn any subject completely without formalism. <3> what gives more insight: the statement 'there are infinitely many prime numbers' or that statement translated in a mathematical formula that takes 2 pages? <0> lieven: i'll take the latter <5> hi <0> lieven: i need to know what 'infinitely' means and what 'prime numbers' mean in all suitable contexts. <5> what does the operator for congruence with an number written under it means? <0> lieven: see what i mean? <0> lieven: DustyDingo is asking for definition of notation <3> pyenos: go checkout http://mizar.org then. They'll probably be glad to have you :) <0> lieven: but i'm an idiot. they want idiots? <3> pyenos: point <0> pyenos: what? <0> lieven: what? <5> pyenos: ??? <0> lieven: i'll ***ume that you can't help me any further. tyvm <5> is there really noone, who can explain me, what rotate_90_deg("|||") with a small n written to the bottom right means? <3> DustyDingo: in what context have you seen that? <5> lieven: i shoould proof, if x |||n x' and y |||n y' that x+y |||n x' + y' <6> just wondering, whats |||? <5> rotate(|||) with a small n in the bottom right <5> i have no idear, waht it means <3> probably equality modulo n <5> so x mod n = x' ? <0> this is pure bull **** <5> pyxl: ??? <5> narf <3> no x=x' (mod n) or x-x'=kn for some integer k <6> oh, you mean rotate the ||| 90 degrees, funny :-) <5> ok <5> yes, better idear, how can i write it here, without knowing the name of this operator? <7> hi TRWBW <8> yo <9> hu <9> hi <9> if i have a function that has an integral over [a,b], how can i how there is an x where the 'integral from a to x of f(x)' = 'integral from x to b of f(x)' <8> GuySoft: think of it this way, if you have a function g(x) with g(a)=0 and g(b)=u, is there an x such that g(x)=u/2? <9> TRWBW, yes, because F is continiues <9> contioues* <8> .... <9> TRWBW, but how can i be sure that the x existis? <9> exists? <8> GuySoft: you just proved it. F is continuous. <9> ill play with it <8> GuySoft: you kidding? you seemed to get it, what's left to prove? F(x)=int f(x) over [a,x]. F(0)=0, F(b)=u, there is an x where F(x)=u/2 <9> TRWBW, i just thaught i might be missing something <8> GuySoft: it's a bit of a red-herring question, there is nothing special about integrals that makes it work, just that they are continous <9> TRWBW, well thanks anyway.. <8> k <10> How do I go about finding the sum of an infinite series where the terms are something like 1/(9k^2+3k-2) ? <10> Our textbook gave no examples of any problems which looked remotely like this one, but then included about 15 of 'em in the exercises section <10> ...so, either it's really trivial, or they just didn't feel like explaining it <8> ccbrti: try partial fractions <11> I dunno how it is called inenglish, nulldivider maybe? where a,b in R (ring) a,b != 0 and axb = 0 <8> "zero divisor" is an element a!=0 with a b!=0 and ab=0 <8> but basically, yes <11> ah, there is the rigth term, ty <11> in Z/9Z, there is only 1 zero divisor? 3? <8> jin: british dialects might say "null divisor" <8> jin: yes <8> jin: in Z/nZ the zero divisors are going to have gcd(x,n)!=1 <8> jin: british dialects might also say "zed divisor" i don't know <11> thanks for pointing that out :) <11> an element is an unit if it has a multiplicative inverse.. can some explain the last part? or point me to some source? <8> jin: it's just a definition <3> a is a unit if there exists a b such that ab=1 <8> jin: sometimes it leads to things you wouldn't expect. for example in the real numbers, everything by 0 is a unit
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