Mathematics

I am studying Maths at varsity and I'm doing ok in it academically but I would like to do better, I find that I lose motivation a lot because I fail to see how what I am doing relates to real life, sometimes, like how is this applied in the modern world. Applications we do in class are far and few in between so I often loose interest. I think that if I had more motivation I would do better, and I would like to know if anyone knows of any good (not too technical)books about maths specifically its development and the people involved in coming up with importnat discoveries(I find that very interesting) as well as modern applications of Maths (I'm not looking for a textbook t…

Hi i am doing my dissertattion and have run a GLM repeated measures ANOVA on my data - I know need to perform a Tukey HSD, but cant do it on SPSS so doing it by hand. The problem that I have is that I cant seem to find where the significant difference is. Stats is not my strong suit i am really bad at it. I have a significant difference between condition and between condition*Time Name: Blood Lactate (Cond*Time) Significance = 0.01 K= 12 dfe= 24 (K,dfe) = 6.105 MSE = 0.74 N= 5 HSD = 2.348640394 Works = YES but when i do it for condition it wont work Name: Blood Lactate (Cond) S…

I have a general question on properties of intervals from a topological point of view( intervals in any ordered , linear continuum space, not only reals), so if we have a non-empty open set A in [a,b], and let b be in A for example, and let x < b , x in A. I need to prove that there exists an interval (y,x] in A. I believe that the fact that A is open and the betweenness of A has to do something with that proof. Again, A is any subset of [a,b], not necessary a convex subset. Will someone help me with this, please? Thanks in advance.

OK boys, this one has been a wonderment to me for years. They tell me that the ancient Greeks came up with the formula for the sine tables. Now, since these constants are expressed in numbers carried out to 7 or 8 decimal places, how did these old boys figure that shit out in the first place? How did they come up with Pi? They didn't have all the stuff to take measurements that we do today. So my question is, is there some sort of natural law that they were able to apply to get the sines, cosines, tangents, etc?

Hi, i'm new, and i wanted to share a very simple algebra problem i like. [math]x^{2x}=2x[/math] It's very simple, but not as easy as it looks, if you know the answer right away, give others a chance.

You are given two right triangles, one with a larger area than the other. Each of the triangles has the angle [math] \theta [/math] in it. The legs of the smaller right triangle are a, b; with a>b. The legs of the larger right triangle are A,B; with A>B. I am trying to prove that: [math] \frac{a}{b} = \frac{A}{B} [/math] I just can't find a simple way to prove it. Anyone know how? Thanks

Does anybody know how to number matrices in Latex, it should follow the equation numbering, so I can effectively refere them. Many thanks

Hey guys, I'm about to take the USAMO. what would you suggest for me to study? -Uncool-

what does [math]\frac{\tan(\frac{\pi}{4} + a) - \tan(\frac{\pi}{4} - a)}{\tan(\frac{\pi}{4} + a) + \tan(\frac{\pi}{4} - a)}[/math] equal to?

A student comes to you, and asks you where did they get the formula y=mx+b from? How do you answer the student? Thank you

I think that any number divide by zero would equal to infinite. Here is how I think about it. Becaue of time dialation, light travels from one place to the other without taking anytime. So the speed of light would be C=x/0. Although the light speed as we know it is 300000 km/s, it is infinite due to time dialation. Therefore everything divided by zero would be zero. It sort of make sense.

I have heard of "Turing Machines", but unfortunately when I've tried to read what are, I cannot make sense of what the language and concepts are supposed to represent. At the very best, the descriptions of a Turing Machine I've come across only allow me to visualize an extremely complicated abacus as the closest thing representation of the basic function of a Turing Machine, but I suspect that such a visualization isnt terribly accurate. I have heard that the ability to build and use a Turing Machine has many scientific applications and philosophical implications, so naturally I am very interested to find out what they are, but I have yet to find a good resource that…

Can someone help me with the following: I am trying to prove that if [a,b] is a subset of a topological space X, where X is linear continuum, then everysubset of [a,b] that is bounded above has to have the least upper bound property. Can someone help me with that?

In this circle how do you find x [math]9^2+(x-3)^2=(x-3)^2[/math] right??

Basically, decided to see what people think should be done with the forum. Whilst it used to serve a purpose (for the old competition threads), I can't really see one for it anymore, and I personally think it should be merged with the General Mathematics forum. Just wanted to see what other people thought. Cheers

Howdy all. Firstly, apologies if this is in the wrong sub-forum. Now, On with the question! I've recently been reading through Marcus du Sautoys "Music Of The Primes". It's a great book, I thoroughly reccommend it to anyone wanting a book to read. I've been keeping up with what the maths ok so far (precious little that there has been), but one thing's bothered me. There's a chapter about Srinivasa Ramanujan, where it says that in his first letter to Hardy and Littlewood he wrote the line 1 + 2 + 3 + .... + n = -1/12 where n is infinity. Yes, I know it looks crazy. Apparently it took H&L an evening or two to work out that he really meant: 1 + 1/(2^-1) +…

It is 1:00 on a grandfather clock(a non-digital one), what time will it be when the minute hand and the hour hand form a 90 degree angle for the first time?

y - ln x = 8 3x + y = 11 How do you solve it algebraically?

As more maths are discovered, more applications are found. Increasingly, biology cannot be separated from math-- and hence, evolution cannot be separated from math. Everything from the way evolution of a creature is mapped (called phylogenics, see http://www.ucmp.berkeley.edu/clad/clad4.html ) to our understanding of how life and non-life might only be different in simple mathematical terms. What I'm saying here is that mathematics firmly SUPPORTS the ideas of evolution, not the other way round (refering to comments people have made that statistics show evolution is not possible). If you're not sure about this I recommend familiarizing yourself with many different maths …

If I divide a planets orbit velocity by the planets orbit radial distance from the sun, what is the resulting unit definition (frequency? or angular velocity?) and how are the actual units defined or clarified in value? Signed SpaceTime

hey guys. i need some help with this question: A man borrowed $40000 from a bank at a rate of 24% pa compounded monthly. At the end of each month, he repaid $4000. How much did he still owe the bank after the 5th payment. Can someone give me some tips or tell me the steps i should take to solve this problem. (by the way, the answer is $23347 but i can't seem to get that answer no matter what i try to do) thanx

Hi can anyone help me sketch the shape of the graph X^X . Thank you

I think this is a pretty hard question: All the whole numbers from 1 to 2002, including the both of them, are written on a chalkboard in increasing order: 1, 2, 3... 2001, 2002. Then, the first number is erased, then the fourth number, then the seventh number, then the tenth number and so forth erasing all the numbers that occupy a place in the form 3k+1. In the new list of numbers(after the first erasing) the same procedure is applied, erasing all the numbers occupying a place with the form 3k+1. This same process is repeated until all the numbers are erased from the chalkboard. What number is erased last?

I have been wondering how this is worked out without just plugging it into the calculator, is it possible to do it on paper or does it take a long time to work out? I feel i should already know this but i have never learned it in school or in my maths course. Its obviously not a ratio as: 9^1.5=27 but 9^2= 81.

Dave I don't know where to put this post, you can delete it later. I would like to know if there are any plans to implement a drawing program into this forum (you know like MSpaint only your own), so that you could draw circles and straight lines, and have the drawing incorporated neatly into your post, rather than attaching a .jpg or a .bmp. Possibly even a graph program, so that you just enter an equation, and its graph comes up. How hard would something like that be? Just a thought... Regards