Mathematics

In the process of a patent/copyright research I happened upon a copyrighted 12-tone Scientific Scale. Don't know what the application of it might be, bu do know that the 7-tone Scientific Scale of Pythagoras is the standstill to mathematics in the Western world. In any event I copied it down to give here should there be the interest: 12-tone Scientific Scale: F#= 1.4046639.... C= 2.0 (fundamental) C#= 1.0534979.... G= 1.5 G#= 1.5802469.... D= 1.125 D#= 1.1851851.... A= 1.6875 A#= 1.7777777.... E= 1.265625 F = 1.3333333.... B= 1.8984375 Do not confuse the scale with ton…

A deck of n cards is laid out in a row on the table. Cards of a second deck with n cards are placed one by one at random on top of the first set of cards. You get m points if there are m matches between the first and second decks. a) How many ways are there to get 2 points if n = 4? b) What is the probability of getting 7 points if n = 9? I got stuck in this question...could anybody help me out??Thanks!!

Here is my way of working out the solution, i would appreciate some other methods to give me some ideas of how best to do these kind of questions: Q: the sum of the first 3 terms in a GP is 9 times less than the sum of the first 6 terms, find the ratio. Here is my solution: since: 9(a+ar+ar^2)= a+ar+ar^2+ar^3+ar^4+ar^5 8+8r+8r^2= r^3+r^4+r^5 factorising: 8(r^2+r+1)=r^3(1+r+r^2) canceling: 8= r^3 therefore r=2.

Here is a probability mathematical problem that I think it will make quite a few math brain cells to work overtime....... PROBLEM: John and Mary has each one hat filled with numbered balls. The numbers are from 1 to 40 and there are no balls with the same number. Hence, there are 80 balls in total. John will pick two balls and Mary will pick 3 balls. The process is that John pick one ball first. John looks at the number on the picked ball and writes it down. He then reach into the hat and removes the two balls that has the number just below and above the picked ball. Hence, after John picked the first ball and have removed the adjacent numbered balls the hat cont…

hey is this like a trick question or something? because i just get 0

A creationist once told me that the probability that evolution occured according to scientific theory is very low. There is a low probability that the steps of naturalistic processes that occur could happen that way. But I've been thinking. If you take a coin and flip it a billion times, whatever result you get, the probability of obtaining that result is extremely low, yet is that evidence that what you just did (flip the coin a billion times) didn't occur?

I`m sure all the maths guys know of this "rule" a simple question though, what does the `O` stand for in it?

Show that a number of the form a00..00b with at least one zero, and a in the range 1,2,...,9 and b is 1,4, or 9 cannot be a perfect square Help please!!

Hope this is not a repeat....you should know that I'm a bit clumsy at this sort of thing. I need to know the formula for determining the angle of incidence for a specific moment on the diurnal arc. I do know that the angle occuring at 3:33...PM is 50.625 degrees, but don't know how it's derived.

Hi, i'm having problems with this question and would appreciate it very much if someone would help me out. I've got my C4 exam in a month and none of my teachers has a clue about vectors... Referred to the origin we have 2 points points A (i-5j-7k) and B (10i+10j+5k). P is a point on AB a) Find a vectr for the line passing through AB(i got i-5j-7k+t(9i-15j-12k)) b)Find the position vector of P such that OP is perpendicular to AB. I really don't know how to do b). c) find area of triangle OAB ( i can do when i have b) d) find ratio in which P divides AB (not sure) Can anyone tell me where i can get a good guide to vectors (book or internet, etc)? It's my …

The title is self explanatory. I would like to hear different people's answer to this.

There was an Indian mathematician who lived in the first 25 years of 1900 and a few years before that. His name was Srinivasa Ramanujan said to be the 'Man who knew infinity !'. He was a genius, and went to England to continue his work after being invited there by another good mathematician called Hardy. He did a lot of work but died early due to his religious practices that led to very little edible food. He bacame a fellow of the Royal Society ! But the last thing he gave to the world before passing away was something called 'Mock Theta Functions'. Any idea what that is ? Mathematicians today are still baffled by what he did. There is very little on him on the internet.

I would like an explanation on how to go about solving these two. I am having some trouble. 24. In 1975, the U.S. EPA set a standard of 50 ppb of lead in drinking water. In 1991, a new standard was set that safe water contains less than 15 ppb. a.Write each of these rates as fractions using positive powers of 10 b.Write each rate without fractions, using negative powers of 10

Quaternions Is this correct? Did William Rowan Hamilton invent the vector cross product, by inventing quaternions?

Hey guys, I stumbled upon these forums while looking for some help... I've registered, and hope to become a regular poster here. Anyways, How would I show that the following mathematical expressions are dimensionally equivalent? a) 1/2mv^2 and mgh b) W and 1/2mv^2 Thank you so mcuh for your help. Cya!

Could someone please explain to me this axiomisation of real numbers to me? I study further maths at A level and I have not come across this. Is it basically a set of definitions for the various sets of numbers? Cheers

Currently, I am trying to make my way through Euclid's book seven, which is on number theory. I am having trouble with his very first theorem, can anyone here help? I think the reason I am having trouble with it, is that the English translation isn't as good as it could be. Here is a link to proposition 1 of book seven: Euclid's elements, Book 7, Proposition 1 The translation that you see at the website, is not the same as is in Heath. I think Dr. Joyce tried to translate it more clearly on his own. Anyway, I was reading through a graduate text on linear algebra, and around the time they begin to discuss rings, there is a discussion on "relative p…

1 + 2 + 3 + ...+ n = n(n+1)/2 1 + 4 + 9 + ...+ n^2 = n(n+1)(2n+1)/6 1 + 8 + 27 + ...+n^3= (n^2)((n+1)^2)/4 Besides just looking at the numbers and figuring out through mathematical induction, how do you find these formulas. For the first one, there's a way that goes something like this. Sum = 1 + 2 + 3+...+(n-1)+ n Sum = n +(n-1)+...+ 2 + 1 2 Sum = (n)(n+1) Sum = (n)(n+1)/2 Can this method be applied to higher powers? If so, can you show a couple of examples? I also saw a method using dots. Like for n(n+1)/2, you can form a n(n+1) rectangle of dots by placing together 2 trianglular array of dots with one dot in the top row, 2 in the seco…

http://www.manilatimes.net/national/2005/may/05/yehey/top_stories/20050505top4.html Looks like an error was found in Wiles' solution.

I am confused of shifting a linear equation. Let f(x)=ax+b And g(x) is identical to f(x+2)+5 For example, we create a specific condition, g(x)=f(x) and (1,2) is a point on f(x) [Does this implies that (1,2) is also a point on g(x)?] Next step is to find f(x): By using the given conditions, f(x)= -5x/2+9/2 The contradiction appears: g(x)=f(x+2)+5 That's mean shifting the whole curve of f(x) to left parallel to x-axis by 2 units, then by shifting it upwards by 5 units, we get g(x). My answer to the previous question ( typed in bold ) is yes but I am not certain with my answer. If I am correct, then the point hasn't moved away. However, it's clear to know that the…

I understand everything apart from the part that is circled in red, could somebody please explain how that is obtained from the information given. Thanks.

How does the logic for the method of infinite descent work? Fermat indirectly proved that x^4 + y^4 = z^4 has no solutions through this. "In order to prove that there were no solutions, Fermat assumed that there was a hypothetical solution (A,B,C). By examining the properties of (A,B,C), he could demonstrate that if this hypothetical solution did exist, then there would have to be a smaller solution (D,E,F). Then by examining this solution, there would be an even smaller solution (G,H,I), and so on. Fermat had discovered a descending staircase of solutions, which theoretically would continue forever, generating ever small numbers. However, x,y, and z must be whole numbe…

i need to answer some of these problems, and i do not know wat a sine or cosine wave is. I need help with numbers 11, 13 and 15. I would greatly appreciate any help.

For a triangle, 3 sides are given. What's the radius of its circumcircle? Are we able to get it without using cosine law or sine law or heron formula?

you can get square of double area using given square by pythagorus theoram. no instrument of dimensioning is needed. but can you get double volume cube when cube is given to you and you can't use measuring tools. you can use diagonals, etc. which are elements of cube.