Mathematics

I need mathematicians to tell me whether the quotation below makes any sense mathematics-wise; and please explain to me in man-in-the street-language what the author is saying. Thanks for any help from anyone skilled in mathematics. yrreg

Find a 2x2 matrix A and a vector v in R2 such that the transforma- tion x --> Ax + v maps the triangle with vertices (1, 1); (2, -1); (3, 4) into the triangle with vertices (0, 0); (1, 0); (0, 1). How many different pairs (A, v) will do the job?

Hello, can someoneu help me with Integration of function f(x) = sqrt(ln(x)) or (ln(x))^(1/2) ...

Just watching on the way home today, I was wondering there must be some underlying mathematics to traffic patterns, Probability of Jams etc?

Hello, Can anyone please provide website(s) for challenging problems that are related to gr.12 curriculum. Thanks

y=(-x^2+1)^1/2 How do i integrate this guy from 0 to 1? since the x^2 has a negative constant, would you need to integrate i? like this [ix^3/3+x] OneStone

Hi! Can someone please explain to me how to integrate: ln4x+cos4x+3. I don't know how to integrate ln4x. Please show me the steps, and explain what integration by part means and how to use it. I have tried to look on it but I am still not clear. Thanks

Hi everybody! As it seems to me I have found quite simple way to prove the "Four Colour Theorem". I am not a mathematician so I can't bear any illusions about my paper but I hope you can find it containing something interesting. You can see it at http://www.geocities.com/itutber. Your comment would be very welcomed Best wishes Ilia Tutberidze

Is there a particular solution to this equation: N=p^2/q^2, where N is any prime number and p and q are two intergers.

I have already made a post for this, but that was in early October, and would be hard to find in all of the more recent posts. I wanted to know what the uses of the mathematical constants [math]\pi[/math], [math]e[/math], [math]y[/math], and [math]\phi[/math] are for, and what there uses are. For example, I know that [math]C=\pi r2[/math], and that [math]A= \pi r^2[/math], and that [math]\pi[/math] is aproximatly equal to [math]3.1415[/math]. So, I guess I understand [math]\pi[/math] pretty well. But I have no idea about [math]y[/math] [math]e[/math] or [math]\phi[/math].

ax^2+b^x+c is the standard function of a quadratic. If i know that a quadratic with this format passes though points A(-3,-2) and B(2,3). How would i go about working out a, b and c? This's got me stumped. Thanks

i'm trying to work out the area between 1/x^4-x^4 and x^2 and the x axis and the y axis 1/x^4-x^4 and x^2 can you give me a hand please? i've integrated between 0 and 0.9 but it gives me a negative area. :S what am i doing wrong? eventually i wanted to work out the area between -x^2 and the quartic. -x^2 aren't these curves beautiful

I'm having a problem in this please i would really appreciate if someone can solve this for me with the formula and everything 1- Find the whole number such that four times the number subtracted from three times the square of the number makes 15.

Cantor's second diagonal method is not from N to R because each element in the list is only a non-accurate representation of R member. Please open: http://www.geocities.com/complementarytheory/NEXT.pdf Thank you.

how do i solve this guy? thanks

When does 1 and 1 make 3? Happy New Year

Everytime I see number 8, this number reminds me of sign infinity. I wonder among all the numbers exists in world, why was the number 8 created as shape of infinity. Maybe there is no reason but this seems interesting.

Let us say that your own life depends on your ability to explain the Bijection concept to a 5 years old child. Please write your explanation. Thank you.

Hello friends, it has occured to me that I know depressingly little about mathematics in general. I mean, I can do all the stuff in class they want you to do, but I really am not comfortable with any of the stuff. In saying this, I mean that I feel as though there are certain things I haven't learned....probably because they were attempted to be taught to me by southern women entertaining too many children.... Anywise, I was fiddling around with a circle the other day, and I wrote a TI-BASIC program that computes the Pi constant from scratch. If any of you are interested, here is the code (Ti-83 plus): :PROGRAM:CIRCLE :ClrHome :Input "Radius:",R :0-->F :…

Recently, I was looking through my sister's Maths Textbooks and I saw a very interesting topic I could learn. So for the next few days I learnt the basics of permutations and their applications. All was well until I stumbled upon a question that I was unable to solve. With no one else to turn to (my sister has not yet been taught permutations yet), I decided to post my question on the boards. The question goes like this: There are 9 books arranged on a shelf. 2 of them are labelled A, 3 of them are labelled B and 4 of them are labelled C. How many permutations of the books are there if: a)none of the books labelled A were next to each other. b)none of the …

how do i work out that if a machine is worth $15000 and if it's price decreases by 20% per annum that it will cost $9600 in two years using Sn=a(r^n-1)/r-1? using this formula it doesn't work.... thanks guys

hi there. would you mind helping me a lil with this one. it's sinx=1/2+cosx i think its really easy to solve but i can never get a positive value for it. i tried substituting Cos2x=1-2sin^2x also tried it it with sec^2x=1+tan^2x i know there's 1 positive and 1 negative value at least. between 0 and 2pi thanks in advance

Trying to come up with a function that fits (0,0) (1,1) (2,3) (3,7) (4,15) (5,31) (6,63)... If not too much trouble, help please. Thanks.

Cantor's second diagonal method is not form N to P(N) because each element in the list is only a non-accurate representation of R member, for example: Epsilon = Invariant Proportion About 3.14... = circumference/diameter: Let us say that Epsilon is equivalent to the invariant proportion that can be found in the triangles below. (VERY IMPORTANT: When Epsilon = Invariant Proportion, then there is no connection to words like 'smaller' or 'bigger' or 'size' or 'magnitude' or 'Quantity', and the reason is clearly explained) , |\ | \ | \ | \ | | | |\ | | \ | | \ | | \ | | | | | |\ | | | \ | | | \ | |…

One of the most devastating things in the Language of Mathematics and its logical reasoning is a hidden assumption, and the worst thing is a first-order hidden assumption. Let FOHA be a First-Order Hidden Assumption. Let UQ be Universal-Quantification. Is there a FOHA in the way we use UQ concept? The UQ is based on the term ‘For All’. The meaning of the word ‘All’ is synonym to the word ‘Complete’ and if it is related to a collection of elements, then from a quantitative point of view ‘All’ is actually the SUM of this collection, where in the level of SUM we are no longer in the level of each single element that exists in this collection. The SUM …