Mathematics

This was an idea that i came up with during a math class, where we were learning about perpendicular lines. The way to prove/solve perpendicular lines is by multiplying the gradient of the first line by the second gradient and the answer will be -1. So i had the though that a flat horizontal line has a gradient of 0, and a perfectly vertical line is described as "undifined". Now because the line is undifined i thought that would mean it can be described as infinity. So that would mean that 0 (flat line) multiplied by infinity (vertical line) equals -1. Tell me what you think.

This is a concept that has bothered the hell out of me for years. How can anything be infinite? It seems that everything should logically have an end, yet so many of the concepts used in math and science involve thinking that there are certain things which will never end. Zeno's paradox is a prime example. I'm sure everyone is familiar with Zeno's paradox and the many forms it has taken, but I'll give a brief summary of it if anyone is unfamiliar with it. You start walking towards a wall, and stop at the halfway point. From that point you walk halfway to the wall again, and stop. From that point you walk halfway to the wall and stop again...I think you can see where …

Can someone explain to me why x^2=49, the value for x is plus or minus 7

Hi everybody, I have been playing a little with prime numbers and got this nice approximation of pn (distribution of prime numbers): Function. It uses the Feigenbaum constants (chaos theory) and a decimal logarithm. This is the plotted function I would like to know if there is any recognized approximation of pn. Thanks in advance.

Greetings: I am a first time user of this web site, so, Imay make a few mistakes. I want to re-learn the formula for determining the diagonal distance between the ends of a 3-4-5 right triangle. The the known measurements are 10 ft and 12 ft.

g=( L((aX)+(bY)) / (X+Y+1) could anyone solve for X, Y, while G>0 ? I use this formula everyday and would love to be able to use it like... aX,bY = ????? I once plotted it , and all of it's transpositions, I just caan't finsh it off!! ... I can't find a correlative formula for aX <> bY

Hi everyone, Can I just check with you, is 0.1M 10%? So to get from molar to % we just multiply by 100? Is that correct? thanks in advance...and sorry forthe simplicity

please i need your help to solving this problem :

What is: 4+root(6)/ root(48)? I got 4+3 root(2)/12 is that rite?

I need help with this problem, it is very confusing to me, can anyone help, and explain how to? Thanks. http://img186.imageshack.us/img186/3112/gfgfgyc6.jpg And another problem, very related to this one is this. http://img241.imageshack.us/img241/7311/anotherproblemol7.jpg

i had a question on how substitution works exactly. i know that the dervitive of the sub. needs to be infront. but what if its not? lets take an example. x^2 sqrt(x^3 +1) here you would make x^3 + 1 = u and du would be 3x^2 but you have only x^2 infront would'nt dividing by 3 change it? what if for example you only had x infront? maybe im just confused *sighs*

Ho! Is it possible to define function by-table, for example f(2)=3, f(5)=4? It is clear for separate values, i.e. lambda 2.3 and lambda 5.4, right? But how to combine these? Thanks.

hi...i have a question.... if R is a set of real numbers, and Q is a set of Rational numbers, then R-Q=?

My usual average in my math classes is 95-97. I take a test like the psat or a state assessment test and I do HORRIBLE on my math section. I score lower than people who get 80's in their math classes. This makes absolutely no sense to me and I am completely frustrated. Is anyone else on here like me? Anyone have any insight as to why I score so low? By the way I do perfectly fine on other sections of the tests. I usually score in the top 95 percentile. Comments appreciated, thanks

I wanted to ask if anyone knows about a software or powerful online calculator that is able to perform calculations with a solution (a real number in this case) in the range of 300-400 digits. I’m currently working on a problem that involves primes and need such a calculator to test few results. I need the exact solutions to some calculations and not an estimate to the solution such as X^99 or an approximation of Pi or e. I hope someone can help. Thanks

hi.. i got a problem from a book and i cant answer it.. he asked me to find a recurrence relation for the number of bit string of length n that contain 4 consecutive 0s... and the second question is for the number of ways to climb n stairs and the person climbing the stairs can take one or two stairs at a time... can you help me? please explain to me... thank you very much...

Actually my problem is to find my proof that there are an infinite number of solutions to the Diophantine equation 5a^2 + 5ab + b^2 = p^n where a,b are coprime and p is a prime ending in 1 or 9. There is a relationship between any three consecutive term of a Fibonacci type series and the form 5a^2 + 5ab + b^2 that is invariant with the index number of the first term. That is a key to my proof. I leave the proof for you to figure out, but will make suggestions if you reach a dead end and have no idea where to turn. First off then, how does the form 5a^2 + 5ab + b^2 relate to three terms of a Fibonacci type series in an invariant manner? (By Fibonacci type, I mean F(n…

Hi All, I am given a task to generate a linear as well as a nonlinear dynamic model of a process. All that I am given is a differential equation. Now Situation is that, I dont know the procedure and/or steps to generate thus models. Can anyone help me please ? Thanks

This code was given to me, and I think I may have some of it, but I'm not entirely sure. Can any of you help me to figure this out?

anyone know of a mathematics forum where people actually post on a regular basis? this place is dead. -alex

How would u simplify i^2n+3?????

...according to a lecturer who's university I was at an open day of, he said that the future is in discrete maths. Do you guys think so?

Would anyone know what kind of problems are on the first actuarial exam? i've been told it's pretty broad. what types of financial mathematics are involved?

These two have caught me out. One because its a multiplication of absolute values and the other because its a a graph, but... Numbers: 3D and 4 Any help would be very much appreciated, thank you.

I was playing around with my calculator during class the other day. (Yes, I still don't pay attention in class.) In doing so, I discovered something. [math]n^2=1+2+3+...+(n-1)+n+(n-1)+...+3+2+1[/math] Is there a name for this?