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  1. From basic sequences, series and calculus, to measure theory, complex analysis and more advanced topics.

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  2. Set theory, groups and ring theory, linear algebra, and other algebra-related topics.

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  3. Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.

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  1. Link : deleted

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  2. Started by DevilSolution,

    Sounds like the definition of statistics, I'm looking for the best way to "compute" various permutations and from the permutations i need to create probability based on the perms. For example if i wanted to permute all the odds for all football matches played on a weekend, i would want to permute all sets, say theres 100 matches, down to 2 or more likely 3. with win, loose and draw, and all the permutations of possible teams i would then calculate the probability based on the odds, such that evens is 50% bet, 2/1 is 66 and 33 percent etc. I would like to know if theres any methods like the simplex, that could be modified to optimise the raw calculations, or for exampl…

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  3. Started by fiveworlds,

    Trying to setup 3D Math right in svg here's how far I have gotten. The Z axis is obviously a translation on the x and y co-ordinates. At the moment I am using a translation of 1 but I am wondering would it be right to use the square root of 0.5? <script> function Three_Dimensional_Resolve_Points(matrix){ var svg = {width:800, height: 800}, midpoint = {x:svg.width/2, y:svg.height/2}; Z_Translate = {X : -1, Y : 1} X = matrix[0] + (matrix[2]*Z_Translate.X) + midpoint.x; Y = matrix[1] + (matrix[2]*Z_Translate.Y) + midpoint.y; return [X,Y]; } svg = { width : 800, …

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  4. Started by Unity+,

    So, working with my method, here is what I got so far: [math]\frac{\mathrm{d} }{\mathrm{d} x}\left [ \left(3x+1\right)\left(\frac{x-1}{3}\right) \right ] = 2x-\frac{2}{3}[/math] What I noticed was if you get the resulting function, you can do the same process with that function. This leads to the constant at the end of the result to eventually reach 0. [math]f_{N}(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left [ f_{n}(x)f_{n}^{-1}(x) \right ] = 2x\pm \frac{1}{2^{n}}m[/math] [math]\lim_{n\rightarrow \infty } 2x\pm \frac{1}{2^{n}}m = 2x[/math] Some extra stuff, I decided to have the equation equal each function of the Collatz conjecture. [math]\lim_{n\righ…

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    • 6 replies
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  5. Started by Daedalus,

    Eureka!!! I just proved the Collatz conjecture to be true!!! I' m in total disbelief, and I'm sure you all are as well, but I can finally prove it! However, since I'm a software engineer and not a mathematician, I'm sure any paper that I write would be inadequate at best. If my proof is verified to be correct, then such a paper needs to be written and structured correctly. What should I do? This is a tremendous opportunity to involve our community here at SFN to help me produce a paper and get it submitted to a respectable journal but, since the forum is not a journal and is open to the public, I risk someone else claiming my ideas as their own if share them here. Sin…

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    • 6 replies
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  6. Started by rmjohn.arbis,

    Please give me ideas about Calculus Do not use histort but focus on math concepts, principes, laws, theorems etc.

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  7. Started by blue89,

    hello dear scientists .. I have created one interdisciplinary project ,and at first time when I contacted with harvard GSE , they replied in the same day of course, it was sent to incorrect department (it had been realised later) ,but in this e-mail it was said ..our office is not able to advise you regarding the subject of your inquiry. We recommend you contact the Harvard University Graduate School of Arts and Sciences at admiss@fas.harvard.edu for further help. after this e-mail, I wrote my project and sent to this e-mail given above , but it has not been responded for 2 months. in this case ,I would ask you whether this means rejection or not ? (it …

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  8. Started by fatay,

    -------------------------------------------------------------------------------- Hi i'm Fatih AYDIN from Turkey.I'm High School student and this is my kombination theorem about number of square (in attachment) ; Thanks For your time , all mathematicians !

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  9. Started by geordief,

    I have been thinking about this subject a bit (without any serious study) as I think it may be related to general relativity although I am not sure about that. Anyway ,one of the examples that always comes up is the torus and I have noticed that you can make a torus by inserting a space in a 3d sphere or globe and then stretching the "remainder" of the sphere to that of a torus or indeed to any object that shares the same topology as the torus. My question is this: Can we generalize from this method to create any exotic variety of topology we want by "making a space or gap" in the torus and subsequently in the new object so on ad infinitum? If not ,…

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  10. It came up in another thread where this ancient text did not describe Pi adequately, but in my research on how to calculate Pi I could see there was an alternative way of describing a circle, and most of us would have done this where the circumference can be marked divided by the radius 6 equal times using a compass. Steps: Using the compass to draw the circle. Using the same compass place the point on the circumference and draw a section onto the circle. move the point to where the section intersects the circle and repeat 6 times. There will be 6 points on the circle evenly spaced by the radius. Isn't this what is being described here? Some translate "did c…

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    • 22 replies
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  11. Started by blue89,

    hello I am looking for science journals to publish my articles, the required stipulations are above (in title) but there will be no difference which stipulation is admissed for journals between being indexed SCI or SSCI . however because of I would continue my personal studies as interdisciplinary , it will be better if the (list of) journals are intellectual whiches you share. and regularly , because of willing to be respective,it is predictable to take refugee because of grammar or faults by spelling in literature. in this case ,I would ask "what are you doing for this statement?" , sorry I am creative , and have high strong self confidence ,and because of…

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    • 18 replies
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  12. Started by Anirudh Aswal,

    We live in a 3 dimensional world, where everything has length breadth and height. But what if we live in a 2D' world? Every thing will be smashed down to a single plane surface. And what that world would look like? This is what explained in a novel "Flatland" by Edwin Abbott in 1800. But what is a dimension anyway? For us dimension is a direction, which we can picture as a line. For our direction to be dimension, it has to be at right angle to all other dimension. so 1D is a line, while a 2D is two perpendicular line. (a flat surface) Eg. when we stretch a line from its ends perpendicular to the line, We get a 2D square. Similarly a 3D figure adds a third perpendicular. …

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  13. Started by here,

    Hi, I have discovered a good solution to find a polynomial formula that goes through the specific points. Please first visit my page and give me your feedback http://wahamira.net/math/find-polynomial.htm Regards,

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  14. Just a random hypothesis that I had in how a curved shaded area could be equal to a rectangular shaded area. Not even sure it works in 2D Space let alone 3D Space. If you need a further explanation just message me

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  15. Thread, Over 1/4 century ago, I was reading about base 256 and the book stated that if you used all the english letters and numbers, and borrowed characters from other languages you would still not have 256 identifiable characters, and nobody was about to come up with such a character set...so I took that as a challenge and came up with 256 unique and sensible characters. I wrote a basic program on my Commodore 64 Executive that printed them all out. I sent it in to the patent office, but they said you couldn't patent a number system, but I might be able to copyright the characters. I told various people about the system over the years, and entertained various ide…

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    • 63 replies
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  16. Started by sooroor,

    If numbers have a beginning witch is one they necessarily have an ending If they don't ..... Is the problem in the way we address or write numbers ? Let say numbers are a circle 1 is a rayon in a circle 2 is a diameter 3 is 3 rayon dividing the circle in equal surfaces 4 is 4 rayon ..... etc In the end we are going to draw a disk But when? When are the surfaces between rayons are going to be equal to 0? One day for sure Conclusion : Infinity doesn't exist and numbers begin with 0 which is a centre in the circle And the infinity? well its calculable but how much exacly? Is it Allah (1665) that the Muslims..etc worship? And what is the obvious way to get…

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    • 30 replies
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  17. Started by Hyper,

    Q1. You have 2 number and they are both number 2, so what are the 2 numbers equal to. Q2 same question instead of having both numbers 2 you have one 8 and one 9. Have fun answering

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  18. Started by Fidelis,

    Hello guys! I have two quaternions with norm equal to 1. Both are represented in the angle-phase form, i.e, I have q=exp(i*\phi)exp(k*\psi)exp(j*\theta) and p=exp(i*\phi')exp(k*\psi')exp(j*\theta'). Let \alpha be the angle between q and p. I need to write \alpha in function of \phi-\phi', \psi-\psi' and \theta-\theta' in a simple way. Could anyone give me some idea?

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  19. Title says it all. I've been challenged by my teacher to do this. I am currently doing it out by hand, it it is extremely tedious and annoying. Are there other more efficient ways to do this? Thanks in advance. (P.S. I know I can put it into wolfram, I do have the answer. I just need to figure it out by hand)

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  20. Started by Wso,

    I thought of a probabilistic primality test a while back and have looked online trying to find if this method has been used or described anywhere before, but so far haven't seen it anywhere. The basic idea is as follows: Define f(x, y) as the number of times “temp = y”, “y = x modulo y” and “x = temp” can be preformed before y is equal to 1 For example, f(25, 7) = 3 because 25 modulo 7 = 4 step 1 7 modulo 4 = 3 step 2 4 modulo 3 = 1 step 3 In general, using prime numbers as either x or y will result in a higher answer when compared to non prime…

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  21. hello dear scientists I am new member in this website.and apologise if there already exist answers before questioning. as you see I want to be research/teaching asistant ,international especialy I wish it to be in usa ,canada ,or australya how possible is. and before of my questions I want to give my features. ** firstly I am 26 years old ,and now MSc (thesis based) student (new) (interest : functional analysis).(it is not new this state,but because of lots of difficulties to be academician in this part of science in turkey, Ihave had a break for a while) ** in personality , I can say that I am very very social, I love almost all humans,and can communi…

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  22. Started by Thomas O'Neal,

    Technically, there is no such thing as an odd number. The reason why is because, you can split numbers. This might seem to break the rules of Mathematics, but however it doesn't. In real life, which is what Math is for, you are able to split items. In example, You find 1 cookie, and your brother wants a cookie too, so you split it, 0.5 and 0.5.

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  23. Started by Xagan,

    Hi everyone, I would really appreciate some advice. For my college project, I'm researching the impacts that microplastics have upon Artemia salina, and one of the things we will be assessing is the LC50 (the lethal concentration that will kill 50% of the test population) value of the microplastics over a 96 hour test period. A lot of research has gone into this project to get it going, but one sticking point I'm having is understanding the idea of working out the concentrations of microplastics. I like the idea of measuring out the plastics in either micrograms or microlitres per millilitres, but according to researchers and the microplastic distributors, it is much…

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  24. Started by Endy0816,

    Is there a way to provide coordinates such that the arc length between two lines, red and purple for instance, can be said to remain at a fixed value for where they intersect both circles?

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  25. Started by bosons,

    Blueprint for a E-PI-COMPUTER That is better than a quantum computer any day. I have made the theory and code public. I have also shared it with legends like Sir Stephen Hawking, feedback awaited. If interested, you can visit: Dropbox: https://www.dropbox.com/sh/g86lb8c9wekhh1d/AABluiYw4M5vml3C-YT_Sf5Ya?dl=0 OR Google Drive: https://drive.google.com/open?id=0Bx1D5GKafNvEb21YdEMzV2lCWWs Code for pi engine, e engine, classifier: https://zilchbosons@bitbucket.org/zilchbosons/epic.git Regards Subhendra

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    • 4 replies
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