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 …

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

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…

Do points lie on tangents lines "only?" From: "The slope of the tangent" Or on the curve itself?? If it's not on the curve, then: Where did that curve come from?? I'm not getting the ideas behind the following. ( x + delta h) I'm very familiar with linear equations but this does not clarify tangent points and the "fancy" albegra doesn't explain the evolution of time either cuz it sets everything at 0... Are these Points Hyper Planes?? Light Cones?? Faster Than Light Speeds?? N Gons?? Oragami?? ----->Standing Waves Maybe???

I am a layman trying to understand above theorems. This could be a stupid question. Does these theorems imply that we actually cannot prove that 2+2 = 4??? Is this one of the implications of these theorems???

ok so i want to know if there is an easier way to figure out how many times you would have to double a number before getting to certain number. (other then going 2x2x2x2x2x2x2 question two lets say we take the number 1080 is there a way to figure out how many times it had been doubled assuming the start point is 1 what if the starting number was 4 any way to figure that out besides the long way and this is not homework, i was just folding a piece of metal on itself over and over (like Damascus steel but i used indium since its soft and doesn't require heat to get the layers to bond but it also doesnt add any strength i just wanted to see how many layers i cou…

On my site www.constructorscorner.com I have found a way to break any triangle into 2 right triangles and solve it knowing only 2 sides. I know it sounds unlikely and it could be wrong, but if you go to the homepage you will see 2 trig parabola pdf downloads. The ideas need refined to be simpler, but if you read it all the idea is there. You may also be interested in my math section under the title bar --- ideas and gadgets. Trurl

Did Issac Newton know about numeral systems? IE Bases 10, 2, 1 etc etc? If not then, why do we use them "in calculus today??" Moreover, how can computers compute calculus? Issac Newton didn't have one, or did he?? Was it a Macintosh?? seriously.. This should be a very interesting thread..

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

What is the largest number value in base-10 you can write with just 3 digits? No symbols and characters allowed. Hints: it's not 999 Ask someone to write the largest 3-digit number and they'll respond with 999. Logical answer, but we can go bigger. Some may get the "power" brainwave and think of 999 (99 to the power of 9), which calculates out as 99×99×99×99×99×99×99× 99×99. Even better is 999 (9 to the power of 99) which calculates out as 9×9×9×9×9×9×9 ... and so on 99 times. The correct answer, however, if you extend the idea even further ends up as... 99^9 (9 to the 9th power of 9). Work out the second and third powers first (9×9×9×9×9×9×9×9×9 = …

Hey, I have a question about math. If you take : - 8 = 3/19 n (imagine the 3/19 as a fraction.) you need to find N. To do this you would flip the 3/19 to get 19/3 and put it of the other side of the equation. Getting: 19/3 * -8/1 = n Getting in the end the answer: -152/3 = n How does this give the answer?

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

I saw this game played first in the classic 1960's French film 'Last Year in Marienbad'. I learnt how to play it to always win, by trial and error. I believe there is also a simple maths algorithm for winning play but I have neither the skill nor patience to figure it out. Can anyone help? The game: For two players. Lay four rows of mathsticks: 1, 3, 5, 7. I III IIIII IIIIIII The play: A player can take any number of sticks from any one row at a time. The one who has to take the last match loses. Its always fun to play this a few times and let the patsy win, then offer to bet a couple of beers that you can win the next three games straight out. W…

I want this thread to be an attempt to create a generalized overall mapping of mathematics as we know it at this current time. Its basis is that all models developed by a human is itself a model, therefore I do not want to delve to deeply into the philosophy of the subject matter, whereas I would like for this to be an overall model of existing mathematics from beginner to expert levels all explained and viewed as a general "mapping." Showing the interconnections between all of the different mathematical concepts formed which have been agreed upon. Showing all the twists and turns, all the connections, all of the branches that lead to no where. This is a big pr…

Ok this is a bit of a strange question but this is my last place to turn. Ok High output fans or any fan really is measured by CFM (Cubic feet ,Minute) Ok now what i am interested in is how to convert a fans CFM to actual WINDSPEED MPH I am sure some variables would include the following. Size of Area, Resistance, CFM, and possibly other things. But is there a way to calculate this or is that something that is just impossible. and i would just have to build a wind tunnel and run a fan with X CFM coming out of it in a specific area and then measure windspeed. i would hope not, i would like to think that is a way to mathmatically figure it out …

I have gotten several different and conflicting definitions from teachers over the past few years. One teacher described a graph with a decreasing y-axis value and increasing x-axis value as an indirect relationship, wihle another teacher calls this inverse relationship. What's the difference, what the correct relationship, what do the graphs look like?

Does anybody have any ideas on how to work out [imath]\sqrt{0.9}[/imath] without a calculator (to approx 10 d.p.)? I know there are a few methods for working out for working out square roots by hand, but i was wondering if there was a cleverer/easier way of doing it.

For example, I know sine is: x - x^3/3! + x^5/5! - x^7/7! + x^9/9! ... But how would one express 4! without saying 1x2x3x4 so that I can solve such questions as 5.6! I heard that gamma(n-1) = n! , only problem is I dont know anything about gamma, can somebody offer some insight?

Dear reader; It seems that iam off target! And I beg your pardon: Withthe help of mathematical illustrations and explanations, may you please show me(step by step) on how to check an equation like E=MC2 in dimensional analysis? Please I beg.

The problem is to convert 3m/s^2 to km/h^2. How do you do that again?

So whats the relationship between an angle and its sine? I typed out all the degrees between 0 and 89 into a spread sheet and wrote out the answer then made a graph. Using the mighty powers of excel I got equations for the graph. I had the option of choosing how many polynomials I wanted in my function. here is the one to the order of two: y = -0.0001x2 + 0.0208x - 0.0227 Here is the one to the order of six: y = 2E-13x6 - 4E-11x5 + 6E-09x4 - 1E-06x3 + 5E-06x2 + 0.0174x + 1E-05 each one of these will allow me to put in lets say 10 degrees and get an answer of 0.1753 or 0.17357 or 58 degrees and get an answer 0.88018 or 0.8473 These are app…

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 …

The dot product of two i-sized vectors [math]\vec{A}[/math], [math]\vec{B}[/math] is defined as [math]\sum_i A_iB_i[/math], What if the vectors aren't equal in dimension? What is the scalar product of [math]\vec{A} = (1, 3, 5)[/math] and [math]\vec{B} = (2, 4)[/math]?