Mathematics

I've recently been working through a book called "Mathematical puzzling" and during the time I was tackling a problem investigating whether the identity [math]{2}^{n}-1[/math] could produce primes. During the analysis I came up with and derived an equation that seemed to hold generally, and this made it very interesting. In fact tbh, when I found it and realised it's general validity, it made me so excited I felt like hopping up in the air in some sort of stereotypical Archimedic fashion:-p ! It just seemed to give that kind of joy you can only experience when you find something like this in the field of mathematics or mathematical sciences. Also to note how this rela…

Hi, I'm soon starting the last semester of my bachelor degree and plan on taking a "Introduction to mathematical finance" course. I lack some of the recommended background in statistics, so I would love to hear if anyone could recommend a book on stochastic processes. It seems as "discrete probability theory" is what I need to look into. Any suggestions anyone ? My university background so far is 4 courses in math (calculus, lin.alg, applied), the rest is mainly physics, including 2 quantum mechanics courses. I hope to find a book which I can spend a few weeks with this summer to learn the basic stuff, and use it as a reference whenever I get stuck in the fin…

I was just wondering; is it physically possible for two cubes to be perpendicular other than in more than three dimensions, or without having to have them bisect each other?

BEFORE YOU READ: turns out it was posssibly a false alarm, you may disregard. With the series [math]u_{n+1}=u_{n} - \frac{{u_n}^2 - 2}{2 u_n }[/math] Taking u_0 to be 3/2 We get the series 3/2 17/12 577/408 I was working them out by hand (my calculator isn't sociable with fractions that require many digits) so only got that far before I got bored or something. I had these numbers in my MSN screen name without explanation so someone tried to guess the pattern. He saw it as: Where [math]u_n = \frac{p}{q}[/math] where p and q are integers. [math]u_{n+1}=\frac{(2p)p - 1}{(2pq)}[/math]. Now working with the idea that in maths, co-incidences are pretty …

Hi all, Unfortunately I never was really taught some math skills I need to know..my high school teacher was fired in the middle of the year and never was replaced with a good teacher..I'm not happy about that because I get so confused with basic math skills. For example, now I do research in a lab for a summer job and can do the experiments just fine but get stuck for a long time on stupid math problems! Anyone have an easy way of explaining these things? Or a book that teaches it? I get stuff like what a mole is (concentration of mass/volume) but have trouble when it comes to making stock solutions from the basic material, serial dilutions, all kinds of stuff. It's…

if 1+1 =2 then 2+2=5 its true, but how?

i need some help with this algebra even though it is pretty easy i have completly forgotten.please help! x1,2,3,4,5 y5,8,11,14,17 find the rule Pleaz help:embarass:

Hello Could someone help me solving this SDE dX(t) = -0.5*o^2*exp( -2*X(t) )dt + 2*o*exp( -X(t) )dWt by using Itos formula on function F(t,x)=exp(x) It is quite urgent and I would apriciete Your solution Thank you

I've just seen this video, displaying a simple method for multiplication. What I liked about it was that it was very visual, and with a little perceptiveness, it is easy to see how it works too. http://uk.youtube.com/watch?v=zr6eqxk038A&mode=related&search= What do you think of it? Personally, I think it may be best for multiplication of numbers with small digits, as otherwise the method could become time consuming, and so overall I much prefer the Trachtenberg system which I am starting to get to grips with. I guess this method has some sort of attractiveness to me for some odd reason because it is visual, and perhaps exposes another way of thinking of the sam…

Is it possible to prove that an equation exists to describe any possible graph? Specifically, can an equation exist which yields a graph that, for instance, is identical to a sine wave with a certain magnitude for the x= a to b, then some random exponential graph from b to c, and then maybe some holes (limits) and such? I'm not asking about any specific graph ... I'm just wondering if, short of graphs with infinite, non-repeating patterns, everything that can be drawn on a graph has an equation that corresponds to it. Thank you in advance for your thoughts! If you're curious as to why I ask this, my girlfriend had a question for me about a homework question for …

Hi everybody, I found this in a book full of mathematical puzzles and I thought it would be enjoyable for people to have a go at it. Ok now imagine you have a 10 pint glass, a 7 pint glass a tap and nothing else which you could use as a container. Do not worry how much fluid the tap can give you, for the purposes of this question I will say it is water and there is a potentially infinite amount of it, but you can deem it to be whatever you're imagine sees fit;) . Can you obtain exactly 9 pints of water using only the 3 things available to you? It is possible to empty the glasses, fill them using the tap, or by pouring the contents of one into the other. However, th…

Is Mathematics a Social Discipline? I think that mathematics is really one of the most social disciplines, in this day and age it seems that people seem to produce much better when working in cooperation. Maybe it is because one person's stupid mistakes are easily seen by another. Then again I can see counter arguements to this too. In the years they were working on their respective theorems, Weils and Perelman occasionally left their attics to go for walks. Yet I think these rather famous cases are rare and may be caused solely by the specific expertise needed. But what do you think?

I was out today and a person coming out of a turn on the road was halfway into each lane, and I could not when thinking about it come to a term in math that would describe such a postion, as it was occupying both lanes at the same time. In math is there a term for something like that?

hi, beginning to self study mathematics and was wondering if you could recommend some favourite books, ones that you found helpful or progressed your interest in maths. Would like books that are accessible to the average reader and provide a basis to build on. David

ever since we started learning division God knows when, i have been told that 0/1 cannot be done. but WHY? if we divide nothing by 1, wouldn't it just be nothing? but if we divided it by 2, wouldn't we have a lack of nothing? which is to say we'd have something? and if we divided 0 by 0, would we get infinity?

is it true that all primes end in either 1,3,7 or 9 after a while? I know the 1`st few dont.

if an octagon is convex is it a regular polygon?

hello everyone. i am very new on mathematica.I have 2 problem at first, i have to eavluate the numerical equivalent of tan(45/Pi+Pi/45) when i wrote on mathematica like this: In[21]:= Tan[45/Pi+Pi/45] Out[21]= \!\(Tan[45\/π + π\/45]\) it gives me that one. can not i get a real number from this?It doesnt solve tangent.i tried Solve[..] or Evaluate[..] but both they didnt work. And secondly how can i find the are of the region enclosed by the curves : y+45(x+45)=0 and y-x^3/45+45=0 ? i really dont have any idea about this. thanks for your helps from now.. it is very urgent i hope someone could help me

lol it may not seem seriouse to you guys but here it is if u multiply two consecutive numbers will that number always be divisible by 2 ex. 2x3=6 6/2=3 ex. 5x6=30 30/2=15 plz give me sum numbers that will prove this wrong lol i argued my ass off wit my math teacher saying i'll find sum numbers to prove him wrong (help a brotha out lol)

Hi everybody, I'm well into my relativity revision, and was just going through deriving the relativistic "velocity addition" forumula, but came across an algebraic stumbling block along the way. Basically, you could say I need to get the identity: [math]c=a+b[/math] From [math]c=1+ab-{((1-a^2)(1-b^2))}^{1/2}[/math] Any ideas? Help on this would be greatly appreciated.

I need to do an extended essay and for the summer we were told to think of two prospective topics. I'm interested in doing math as my subject. do you guys have any ideas on cool topics? I've only studied through algebra 2 and some trig.

Hi guys, I have a little question. Just for curiousity I would like to know the formula of how to calculate the area of an oval!! Thanks

Any ideas on how I can actually learn this, and pass it within the next week or so?!

Okay, I have a few questions about putting exponents in simplest form .. Example 5^5 x 5^5 = 5^10 just add the exponents 9^5 x 8^5 = 72^10?? I understand how to do it if its the same number but i cant understand if its diff please tell me..

i accidentally erased my memory and deleted all my orginal programs, those that came with it. is there a way to get them back without having to download them agian?