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

    • 1.2k posts
  2. Set theory, groups and ring theory, linear algebra, and other algebra-related topics.

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

    • 464 posts
  1. Started by SciFly,

    I want to explore what people here think about infinity, and if the concept of infinity has any place in science. If I were to write down a binary number 0.1 and then a moment later append a 1 to it giving 0.11 and again 0.111 and so on for an infinite number of times. Then would the number I create ever have an infinite number of digits, as an irrational number like pi, or would it always have a finite number of digits? Also, do you think that this is a question about definitions or about necessary truth?

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    • 14 replies
    • 2k views
    • 1 follower
  2. Following on from the "how many sides does a sphere have?" thread, I thought it might be interesting to see how people react when asked to describe Klein Bottles. How many (a) sides, (b) surfaces, © edges, (d) contained volumes do they have?

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    • 13 replies
    • 6.9k views
  3. Started by INAM KHAN,

    how can i slove equation of parabola when focus and Latusrectom are given.

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    • 1 reply
    • 1.4k views
  4. Started by Kriss3d,

    HI everyone. I dont know if this is the apropriate place to ask. Ive been having a discussion with Flat earth belivers ( yeah i know. ) One thing i couldnt quite get to match up with what i know. Ive in my past worked with satelite dishes and setting up these babies for people. Now here where i live in Denmark, we put the satelite at 26 degrees from horizon aiming them towards south. I searched for the hight of satelites such as the Thor 5 satelite which covers Denmark. Aparently the distance from Denmark to the equatorial line its just about 6700 miles. If i tap that into a trigonometry calculator with 6700 miles and 26 degrees, i get a hight of the satelite at 1800 m…

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    • 2 replies
    • 1.7k views
  5. Started by q4agl,

    Texas Holdem (consisting 6 players) i got AA as starting hand, what are chances of there being another A on one of the 5 cards on table? what are chances of 2 other A on the 5? 1. So my question is, when u have pair as start. What are chances of you getting "3 of a kind" and "four of a kind"? 2. Unlike commonsense, I believe starting hand of 10 J is slightly better than K A, since u can make straights on both sides. Am i right? who can calculate it? please

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    • 3 replies
    • 1.7k views
  6. Started by fredreload,

    I want an equation generator for a set number of sequences, it's not an infinite sequence. For instance 71,73,70,56, I want an equation that would always give me a correct number nth number within this series or even for a series like this 1,1,1,1,2,1,1,1,1. It could be random sequences, but eventually I want to reduce this sequence to an equation so I can always find the nth number within this series, any number after this nth sequence doesn't matter. How can I do this?

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    • 8 replies
    • 1.7k views
  7. I want to create a function out of any number of variables that would generate a non repeat output value, sort of like indexing. So to being with one variable you got x, and you set x to 0,1,2,3,4,5,6,7,8,9,10 slowly incrementing values and is positive with non repeating outputs. Now with 2 variables x and y, how do I make it the same as above? Now 3 variables 4, or more, how do I do it? orz http://stackoverflow.com/questions/14013373/finding-the-index-of-a-given-permutation

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    • 4 replies
    • 1.4k views
  8. Started by Curious523,

    A friend of mine correctly predicted who would win a football game (college I think so no tie) the other day. He was congratulated by my other friend but another dismissed his prediction as 50/50. An argument ensued as obviously football games themselves are not (necessarily) 50/50 like heads vs tails on a balanced coin is 50/50. My question is: Does my friend who dismissed my other friend's prediction have a point in any way? He did acknowledge that there were odds in play but insisted that "it's still 50/50." Not sure what "it" is then. Also, I know that if you guess on a multiple choice test (4 choices to a question), you have a 25/75 of getting it right. Is that …

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    • 22 replies
    • 2.5k views
    • 2 followers
  9. Started by fredreload,

    So I got this name from Wikipedia. Basically I got a few linear equations of n equations n unknowns so that it is always solvable. For example. val=[3,1,2,3,4,5,3,1,8,7,9,5,0,2,5,3] I got by splitting in half x=[3,1,2,4,6,5,3,1], y=[8,7,9,5,0,2,5,3],z=[?,?,?,?,?,?,?,?],w[?,?,?,?,?,?,?,?] So for each x and y value I plug it into the equation to get z and w 2x+y=14 2x-y=-2 x=3, y=8 z=14,w=-2 Now if I put this in Matrix form it would be |2 1|14| |2 -1|-2| Which I can reduce this matrix with the row reduction formula to solve for x and y using z=14 and w=-2 with the constants |1 0|3| |0 1|8| My point is you can control the constants howe…

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    • 3 replies
    • 1.2k views
  10. Started by ajb,

    I have just installed Maxima on my laptop running Ubuntu. I will have a play with it over the coming weeks. I was wondering of anyone else here has used Maxima? Are there any annoying features, bugs or other problems you would like to share? Is there anything you particularly like about the system? (The price is one great feature!)

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    • 5 replies
    • 1.5k views
  11. Started by fredreload,

    As the equation says A+B=C, let's say I add 7(A) and 9(B) to get 16©, is it possible to reverse engineer 7 and 9 by only knowing 16? It can be in binary or anything. I'm trying to get the value for A and B with C=16 and without knowing what A and B are An idea would be to mesh the binary bits together like, A=0111, B=1001, C=0111 1001, but that makes C bigger to have a value of C=64+32+16+1 = 113. I need to make this value smaller then the previous two numbers, which should only contain 4 bits, so the maximum value would be 1111 which is 15 Reverse half adders?

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    • 17 replies
    • 2.6k views
  12. Started by Sriman Dutta,

    According to Euler's equation, (e)^ix = cos x + i sin x But, what is the value of any number raised to i ? (i=sqrt(-1))

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    • 3 replies
    • 1.3k views
  13. Started by fredreload,

    Alright, so I think I solved this algorithm, I call it the shrink ray, I got the idea from Minions. Pretty much with any number of A-B in binary, you can reverse engineer A and B from C alone knowing how many 1's and 0's there are for A and B. For example: 1010 A (two 1's, two 0's) -0101 B (two 1's, two 0's) -------- 0101 C Note: I've only tested the condition for A>B, not negative numbers Now you reverse engineer A and B from C, you know C is 5 and A and B are bigger, so you can have A=6 B=1, A=7 B=2, A=8 B=3, A=9 B=4, A=10 B=5, A=11 B=6, A=12 B=7, A=13 B=8, A=14 B=9, A=15, B=10. Now with all these conditions available, the only set that holds true w…

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    • 3 replies
    • 1.2k views
  14. Started by Sriman Dutta,

    I observe a relationship here..... Binomial theorem depends on Pascal's triangle which goes as follows: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 But, (11)^n also shows a similar sequence. Is there any relationship between these two ?

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    • 7 replies
    • 1.8k views
  15. Hello I'm heading into grade 10 in September (I really hope there is no age requirement...) and I adore science and math! Languages are cool too, I especially love English and French (the only two languages I speak, I live in Canada) ANYWAYS, as a 10th grader to be, I'm kind of an outcast, because, I can recite the periodic table (and do often, SCIENCE!), love math, and speak French fluently. But, hey, who cares? It's better than what some kids my age are doing :/. ONTO THE QUESTION! I'm wondering if you could help me depict the (average) size of this jar. I know, it's weird. However, you'll notice that the jar is filled with gummy worms. Yes. That's what I'm doing. …

  16. Is there any general equation to find the roots of an n-degree polynomial? Or is it not possible to construct such an equation?

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    • 7 replies
    • 1.6k views
  17. I've been working in R&D for a diagnostics company for about 3 months now. Ive come to realize that having knowledge of statistics really helps the process of research. Can anyone suggest some sources where I can educate myself on statistics for laboratory research. Books, websites, youtube, experience etc. ~EE

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    • 2 replies
    • 1.6k views
  18. Started by Airat,

    Any idea how to solve equation? [math] \int_0^1 C(yW(x))W^3(x)dx=F(y)[/math] [math]W= 0.5(\cosh(kx)-cos(kx)-\frac{\cosh(k)+\cos(k)}{\sinh(k)+sin(k)}(\sinh(kx)-sin(kx)))[/math] Need to find C F(y) is known function. k- is known constant

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    • 5 replies
    • 2k views
  19. my questions sort of looks a bit like this ... ??

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    • 24 replies
    • 3.9k views
  20. Started by Sorcerer,

    A friend and I were recently watching "The Purge", and the topic came up that if everyone in the world killed only 1 person that the world's population would be halved. I thought about this for a minute and realised mostly it would be reduced by more than half and that in the extreme people pairing off and simultaneously killing each other could reduce it to 0, while still fulfilling the criteria. My question is what would a probability distribution of this scenario look like. What would be the most likely percentage remaining alive? What is this kind of maths problem called? Edit: Feel free to use 7 billion as the world population size or go with any smaller…

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    • 14 replies
    • 2.7k views
    • 1 follower
  21. i have been following maths like some sort of self learning process ... i was able to improve a lot of things myself ... i was able to understand some basic concepts a little bit more ... i was able to narrow it down like this ... then i also remember learning a lot of things about linear and non linear equations ... http://www.mathsisfun.com/algebra/systems-linear-equations.html http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/12-LinEqs_Direct.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/13-LinEqs_Indirect.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_1_FixedPoint.pdf http://www.…

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    • 9 replies
    • 2.5k views
  22. Started by dholbach,

    Hey folks! This is my first post and I am very happy to be here. I hope to contribute a lot, especially to the mathematics, physics, amateur science, and philosophy sections. I am trying to write a program, in C++, to replicate the Barabasi-Albert algorithm for generating scale-free networks (i.e. networks whose degree distribution is power-law distributed). In order to check whether the algorithm was correct, I plotted the degree distribution with a total of N=30,000 nodes. Unfortunately, instead of being power-law distributed, the resulting distribution was exponential -- it was a straight line on a linear-log plot over several orders of magnitude. Clearly, I've do…

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    • 0 replies
    • 1k views
  23. Started by blue89,

    hi; I need some scientist's experiences ,my specific questions are below ; 1) do such journals care that from which (type of) journals our article's citation-references have been done (the equivalent question is whether will it be better us to cite and give references from just that journal we would submit our articles?) 2) how the ranks are being given according to this website : http://www.scimagojr.com/journalrank.php 3) does this mean that if one journal is "open access" ,then it will not be well known journal and I see we are able to make show all open access journals via using item on the website (given above) , but let think we found any journal…

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    • 29 replies
    • 4.1k views
  24. hello dear scientists; as I mentioned before times ,I have some interdisciplinary studies and some of them are article and as I understood; because of it might take longer time (taking patent) for scientific pojects ,I think it might be better to prepare the article ones. I am sure ,some of my article schemes should be unique and newest , but again some of them might be the articles that had been created and published in the past by other scientists. (how may we be confident that it had not been published in the past) ? this was the first question, secondly I would ask something about citing ; -->> do we have to cite from the articles whic…

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    • 37 replies
    • 3.8k views
  25. https://drive.google.com/file/d/0ByCTeSH4WyfPTWtMWEtGQjVPQ3c/view?usp=sharing

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    • 24 replies
    • 3.3k views
    • 1 follower

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