Mathematics

Every other section has one... this one should too (If it has I can't find it sorry). So I'll start off: 1) http://linuxfreak87.googlepages.com/ 1) Covers a lot of stuff, Maths and some physics. 2) http://mathworld.wolfram.com/ 2) Amazing maths resource, lot of advanced stuff. 3) http://www.purplemath.com/ 3) Basic and advanced maths here. Good tutorials. 4) http://www.dansmath.com/ 4) Again more good tutorias and weekly challanges. 5) http://mathforum.org/dr.math/ 5) LOTS of question solutions here, examples too. This one has helped me a lot in the past and still does 6) http://www.ics.uci.edu/~eppstein/junkyard/ 6) Lots of fun geometry…

After a recent update to our forum software, typesetting equations on SFN has changed a little bit. Although we are still using LaTeX, for a variety of reasons, we've elected to shift over from our custom-written LaTeX generator to the excellent MathJax library, which will take your equations from post text and render them in your browser. Much as before, the idea is that in your post, you surround equations with special characters, and MathJax will convert the contained text into an equation for you. There's two types of equation that you can typeset: Inline math is displayed in the flow of a sentence, such as \( y= x^2 \). This example was produced by using …

Forum Rules Okay, so the "old" forum rules was becoming a little old, so I've re-written them. Please, please, please put your mathematics where it should go. For example, anything to do with Calculus or Analysis should go in that forum. Applied Mathematics includes statistics and simple mechanics. Refrain from posting non-mathematical material on these sub-fora; there's loads of other fora on here for various topics in science. Always try to use the correct and proper mathematical notation; we implement a LaTeX system here, and it would be great if people would use it to its full potential. We encourage people to post their problems here; however, if it …

I am looking for in depth reasons for why division by zero must remain undefined.

This is a short guide to using the new LaTeX system that has been implemented on the boards. First off, for those who don't know what LaTeX is, a short description. LaTeX is, to all intents and purposes, a fully fledged math typesetting system - basically put, you can write math with it. It's a very flexible and hence very advanced piece of software, and the syntax for it is quite complex, but fairly easy to learn for typesetting smaller equations. On scienceforums.net, we've implemented a small LaTeX system to allow you to typeset equations (in other words, cut out all the x^2 stuff and make things easier to read for everyone). The basic principle behind it is this: you…

(x^3/N) approximately= (x^2/y) (25/17) approximately= (85/58) Thoughts?

A few days ago I solved a challenge I had made myself, and think the division is neat, with a lot of nice symmetries and such, but several searches on the web and I have not found its name, or a breakdown of it, to study the angles and descriptions and such. So I am presenting it here, in the hopes that someone will recognize it, and point me to a link with its description. Its made of clay and was done by eye with pen and steak knife, so its not exact, but it works. What is this division called? Regards, TAR

The equation of a circle [math](x-h)^2+(y-k)^2=r^2[/math] where (h,k) is the center and r is the radius. The equation of the circumference has no bearing on if it is or isn't a circle. When a circle spins, the circumference shortens and the radius stays the same. Is a circle, spinning near c, still a circle?

Hi everyone! Here's the ongoing challenge: Using any mathematical operations you want, but only four 4s (Or less) for the numbers, create equations to equal as many numbers as possible. Here are the rules: 1. All four "4"s must be used in each equation. 2. No other numbers can be used in the equations. 3. You may use any mathematical operations and symbols (not including symbols for other numbers, like Pi, e, etc.) you wish. 4. The answers in this thread will start with trying to find an answer resulting in 1, then the next person must find a solution resulting in 2, the next person 3, and so on. 5. This is to continue as long as answers can be found. 6. …

Continuity and uncountability Discussion about continuity of line, how continuity is related to uncountability and the continuum hypothesis. The real line is made of real numbers which are points. Points are discrete objects, but lines are continuous objects. How does continuity arise out of discreteness when points make line? The idea of uncountability solves this problem. Rational numbers are countable, the line they make contains holes. Real numbers are uncountable, the line they make is continuous. So, continuity must be created by the uncountability of the points of a continuous line. One can imagine that uncountable points are so numerous on the real line that real …

I have little math, But i came across this fact about prime numbers which i thought was interesting and worth a share, Most properly old to those with math, 23X23=529 =(24X22)+1 29X29=841=(24X35)+1 31X31=961=(24X40)+1 37X37=1369=(24X57)+1 41X41=1681=(24X70)+1 I was wondering if there is any sequence to this? Between the multiples of 24? A little find like this to me, brings a new interest and lets me explore where i would otherwise perhaps never go. So my first thought was 3x24 -1=73, So i googled 73 , 73 is an emirp, m…

Is anyone here interested in the Collatz Conjecture? If so I believe I have the solution, seriously, and I need to work with someone who knows how to write a formal proof better than I. There are some errors in my proof, but the underlying principle is right. I only have my minors in mathematics, so my proof writing skills are subpar.

From now on, I will use this thread to inquire my math questions that I have. I don't want to create a new thread for everytime when I have a single, small math question. Waste of time in my opinion. Also, to let everybody know, those math questions will never be my homework. They are just some bogus math questions that I see around or on the Internet. IT'S NOT MY HOMEWORK. Awhile ago, I just found this old Fermat Competition booklet in my bedroom that I entered last year (A Canadian National Math Contest), and I have this question. When [math]a=\frac{1}{2}[/math] and [math]b=\frac{2}{3}[/math], what what does [math]\frac{6a + 18b}{12a + 6b}[/math] equals? I…

What would you say is the validity of statistics? Also, if you're going to support your argument with definitions please don't, as I think you must ask yourself why you have so much confidence in the definitions in the 1st place I believe the uncertainty just encourages people to not search for the *real* relationship or variables / constants, and it also encourages pointless studies that emphasizes on correlation when the true relationship (if existent at all) is *not* proven. This also goes for probability, however, I heard that probability is quite applicable in quantum physics.

Just a very wild idea. It starts by defining a "point" as being a Plank length (there is some logic behind this idea) and then using this measur the circumference and to calculate pi by dividing the circle into triangles with the plank length on the circumference. A circle with a radius of one plank length has a pi = 3.0. Pi increases as the radius grows –but will it end with a rational number?

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) , |\ | \ | \ | \ | | | |\ | | \ | | \ | | \ | | | | | |\ | | | \ | | | \ | | | | | | | |\ | | | | \ | | | | | | | | | |\ |____|____|___|__|_\ Each arbitrary right triangle's area is smalle…

In another thread on this subject it was stated that “we can establish a one-to-one mapping between any Rm and any Rn.” There is a relationship that occurs in R3 that I believe cannot be mapped to R2. The relationship exists between the sphere center and the surface curvature. I believe that because R2 has no third orthogonal plane or axis that this relationship does not exist in R2. This is best described as a relationship that exists between the tangent to a small circle on the surface of a ball and the gross position of the ball in 3-space. The illustrations show how this relationship can be seen. Mathematically, it is expressed as an identity…

Its the last round of a game show. You have to choose between three doors labeled One, Two, and Three. Behind each door is a prize. Now two of the doors contain goats while one of the doors contains a brand new car. Your asked to choose a door number. Lets say you choose 1. The Host then reveals a door other than the one that you choose, lets say that it is door number 3, and it has a goat behind it. You are then asked if you would like to change your choice to number 2 or stick with number 1. Now the riddle is, does this make a difference? Should you change your answer or stick with it? Have you all heard of this wierd puzzle? I have a book about it, but t…

Well, this is probably thought of already, but might as well give people the concept. This work is a small fraction of Collatz Theory So, basically, the idea is that it is an "equation" that lies on multiple dimensions(two dimensional). It is an evolving equation matrix, meaning on an infinite scale it involves infinitely. Here is the notation of a Collatz Matrix equation: [math]C(x)_{k\times d}\begin{Bmatrix}a_{f}&b_{f}\\u_{f}&v_{f}\end{Bmatrix},s(k_p,d_p) = A_{k\times d}[/math] In this case, the four variables that end with the subscript f are the formulas used in the equation to calculate the matrix. In each case, if the number were to be moved up the m…

Ok I wanted to see if this idea had any potential and I figured if it didn’t it would be shot down in a matter of minutes. This is my final work on the Prime product problem. I know it is just x^2 * y^2 = PNP^2 However the terms would just cancel out. Instead I have decided to let x^2 equal a pattern of x and PNP. So I just substituted the equation which is more complex and will not equal the right side of the equation for x^2. In calculus where you have a complex derivative where you let du/dx equal a portion of the derivative so you can understand and simplify the manipulation of the integral. I am instead taking a more complex pattern and leaving it so …

What does it mean to have consecutive values in set theory? How are they related

I would just like to state that the concept of Infinity does not actually exist, it is merely a device fabricated by the mind's inability to grasp the size of the universe. Everything is finite even Pi and the Universe. We havent found the end yet because our computers are made to think in terms of infinity. Time is a similar device, simply another device made by man to aid in the understanding of the 4 dimensions respectively.... Furthermore , the human race is one of pompous beings, how could anyone of us have the gall to truly believe that we are infact at the top of the genetic roster?! Please respond with any words that you would like, we are having trouble..

Myself and a few friends have been wondering what exactly infinity is, and does it really exist? i, personally, do not believe in infinity. what are your views?

A quick "google" with give you several definitions of mathematics. To me they tend to be necessary, but far from sufficent. As example; Mathematics is the abstract study of numbers, shape, structure and change. Numbers are part of mathematics, so are simple geometric shape, by structures we mean patterens and relations between them, and differential calculus ("rates of change") are all parts of mathematics. This definition seems okay, but a little vague and it may not be very clear what we mean by a structure. Also, as mathematics evolves, solutions to problems often come from outside the area the problem was initially defined, any defintion must be able…

Ok, imagine you had an infinite deck of cards of random faces - one of those cards has a picture of you on it. The chances of course are absolutely ziltch of you ever picking out the right card - but suppose as a fluke, or miracle, you manage to pick the right card, we would say (?) the chances of you picking the right card was 1 in an infinity. Let's change the situation and the rules slightly. This time we have a second deck of cards as well as the first deck of cards. In the second deck of cards, you have an infinite amount of blank cards. In the first pack, still an infinite amount of faces. This time you are not looking for your face specific…