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Mathematics

From algebra to calculus, from trigonometry to set theory, it's all here.

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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.

    • 538 posts
  1. Started by warrush,

    Hi guys, first real post. I'm not very knowledgeable in science, so I'd like some help with this. I know that Time Travel (to past, not future) is theoretically possible, but doesn't the Chaos Theory say otherwise? If I were to travel into the past, just by me being there would change the present, which probably would in turn keep from, or delaying me, traveling in the past in the first place. Wouldn't there be billions of variables that would occur if say, you travelled back 200 years. I would also like to know if traveling to the future is even theoretically possible, because I don't really see how it is.

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    • 12 replies
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    • 2 followers
  2. Started by Bek,

    Hello, everyone! Can you explain me what can we measure in 4 dimensional space? If, in 2d - Area, 3d - volume.... Thank you!

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    • 5 replies
    • 7.2k views
  3. Started by hobz,

    What is a tensor and why is it useful? I have grabbed "Vectors, Tensors and the Basic Equations of Fluid Mechanics" by Rutherford Aris, but it is not a gentle introduction (some of the notation used is not explained at all!).

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    • 14 replies
    • 6.4k views
  4. Started by Trurl,

    All right, here I have a concept. It can be proven right or wrong within 3 minutes. If you liked my SSA triangle then you will love this. http://www.constructorscorner.net/ideas_and_gadgets/math/math_hunch/hunch_00001/hunches_section0007/RSA2Lane.html Remember I am a student, not a scientist. It is a concept not a theorem. The point is not to call me stupid. It is to give guidance. I posted here for instruction. I will not claim it works. Remember student not scientist.

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    • 5 replies
    • 2.2k views
  5. Started by Stratego,

    I think the problem below is an nCr problem [n!/(r!*(n-r)!)], but I'm not quite sure how to approach it. Any help would be appreciated. There are 20 numbers, 1-20. Someone would randomly pick 5 numbers. I need to create sets of 10 numbers so that at least one set contains the 5 numbers that the other person pick. What's the minimum number of sets I'd need to create?

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    • 16 replies
    • 3.4k views
  6. Started by phillip1882,

    two rich men who have no idea how much money they currently have in their wallets meet. rich man A says to rich man B: "i'll bet you that i have more money in my wallet than you have in yours. In fact, let's switch wallets." should rich man B accept the wager?

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    • 17 replies
    • 3.1k views
  7. Started by Mizen,

    If you know some interesting or fun facts about square roots, I would love to know them. I have few so far: - square root of 2 is the diagonal of a square who's side length = 1; square root of 3 is the diagonal of a cube who's side length =1 - a list of the most popular square roots and their answers any information that will inspire others to learn more about square roots is appreciated!

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    • 11 replies
    • 22.8k views
  8. Started by Ataraxia,

    Lately I've become interested in mathematics although I have always had (great) difficulty with it and I've always suspected that I have a below average IQ. I'm fascinated with the idea of mathematics being the language of nature and I plan on getting around to working on math problems in my spare time (I don't remember ever having done algebra, calculus or anything beyond basic arithmetic in school). I know that listening to classical music and practicing meditation have been shown to strengthen math/critical thinking skills and I'm sure eating healthy, exercising regularly and taking care of your health in general would also help keep the brain young and healthy, is the…

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    • 4 replies
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  9. Started by Xittenn,

    What is the importance of measure theory, it is a branch that I've heard little about? Can anyone point me at the definitive text on its foundation?

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    • 7 replies
    • 2.1k views
  10. Started by shah ashutosh,

    1) you are in a cybercafe for accessing internet , You are required to provide the user identification for which you have to use 8 alpha-numeric characters of which first will be alpha character and of the remaining at lease 2 should be numeric characters.How many identification passwords can be created? 2) find the number of ways of seeting m women and n men(m<n) at a round table so that no 2 women seat together? ? ? ? plz sove this question as fast as possible . . . . .

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    • 2 replies
    • 1.7k views
  11. Started by elas,

    I am not a mathmatician but, to fully understand a book I am reading; I do need to know if a constant for force A can be sustituted with the constant for force B and if so, a reference to the rules would be apreciated. (both being quoted in letters, not numbers although the do have numerical values in different [at present] non-convertable units).

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    • 1 reply
    • 1.7k views
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  12. Started by Farzad Bashtani,

    I have a set of X and Y points and I want to fit a Power curve to them. Y = a*X^b + c whats the algorithm for determining a,b,c?

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    • 7 replies
    • 3.3k views
    • 1 follower
  13. Hi I've decided to go back to the books and refresh my maths knowledge... I'm going over the introductory section of Engineering Mathematics by K. A. Stroud. In the section on unending decimals he gives examples of how to convert an unending decimal into a fraction which goes like so (I haven't used his exact words below): To convert 0.18181818 recurring into a fraction you multiply [math]0.\dot{1}\dot{8}[/math] by 100 So: [math] 100 \times 0.\dot{1}\dot{8} = 18.\dot{1}\dot{8} [/math] Then if you subtract [math]0.\dot{1}\dot{8}[/math] from both sides you get: [math] 100 \times 0.\dot{1}\dot{8} - 0.\dot{1}\dot{8} = 18.\dot{1}\dot{8} - 0.\dot{1}\d…

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    • 12 replies
    • 6.8k views
  14. Is it allowed for me to ask for maths help concerning the Einstein field equations to the Newtonian gradient? I wouldn't be asking for any validation or opinion on the physical theory, only whether I have made a mathematical error. Having trouble finding anyone who can give it a review.

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    • 3 replies
    • 2.4k views
    • 1 follower
  15. Under what conditions does: \sigma_f=\sqrt{\left(\frac{\partial}{\partial x_1}f\sigma_{x_1}\right)^2+\left(\frac{\partial}{\partial x_2}f\sigma_{x_2}\right)^2+\ldots+\left(\frac{\partial}{\partial x_n}f\sigma_{x_n}\right)^2} Hold true, where \sigma is error? edit Darn, I thought the TeX environment was integrated such that I didn't need to specify "\[\]" and stuff.

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    • 9 replies
    • 2.2k views
  16. Started by Shadow,

    ...no three of them lie on one line. Say in 2D euclidean space. What would it look like?

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    • 16 replies
    • 3.7k views
    • 1 follower
  17. Started by dr. undefined,

    Is the quantity 1/infinity undefined? I mean the probability of selecting a number from the infinite series of whole numbers? Is it undefined?

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    • 20 replies
    • 6k views
    • 1 follower
  18. Started by eclipse12,

    Given the relative distances to the vertices of a triangle, can one determine the point. For e.g, if P is the point denoted by coordinates (x,y) and the vertices are known (x1,y1), (x2,y2) and (x3,y3), and the ratio of the distances to the vertices relative to the closest vertex (let's say P is closest to (x1,y1)) is given, then is it possible to determine P (assuming that P is within the triangle). if D1,D2 & D3 are the distances to the 3 vertices from point P, then we are only given the ratio of these distances relative to D1 i.e. (1, D2/D1, D3/D1) (and the vertices themselves are known), and P is restricted to be within the triangle.

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    • 10 replies
    • 2.4k views
  19. I'm reading Comprehensive Mathematics for Computer Scientists 1, has anyone read it? I've picked this book last year, i wanted to understand the Rubato music composer and after i understood what would be needed to operate it, i asked Guerino Mazzola about a good book to get started on the necessary topics, he suggested me this book. I opened the book and i made the first chapter pretty fast, but when the second chapter came, i swear that the only thing i could see is something like the image below. Now that i know a little more of maths due to books like "for dummies" and "The complete idiot's guide", i open the second chapter and it seems more like th…

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    • 2 replies
    • 3.3k views
  20. In your opinion, who are some of the top 5 mathematicians, currently

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    • 3 replies
    • 3k views
  21. Started by Mystery111,

    I discovered a Law for Prime Numbers. I have for the couple of years searched ways of finding a law which will determine the prime numbers. As we all know, the law which will allow us to predict prime numbers are unknown. Unfortunately, today, I cannot still offer any remarkable law which will determine prime numbers, but I did find another law for prime numbers along the way. The Law States: The sum of all numbers which make up a prime will give you a number which will never be allowed to be a multiple of 3, nor do any digits ever make the sum of 12 to allow 3 to be divided, with the only acception of the the second prime number that is 3. If after you have taken…

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    • 52 replies
    • 9.7k views
    • 2 followers
  22. Started by the guy,

    I'm trying to construct something and i have confused myself, I can't remember my maths lessons! So I'm stuck on how to work something out... If there are two circles, one within the other (lets call the outer circle 'O' and the inner circle 'I'), If circle I has a radius of 2cm, What should the radius of O be, so that the area of I is equal to the area of O - I? your help would be very, well, helpful! thanks in advance

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    • 6 replies
    • 2k views
  23. Started by Alfred001,

    My knowledge of mathematics is very basic, and I'm looking to start from the bottom up. I've looked at some videos online and most seem to focus exclusively on procedural proficiency. Are there any sources online which place particular stress on conceptual understanding that I could use or is it just on me to look at the procedures and think about what they mean? I've looked at the course videos offered by universities on their youtube channels but they don't seem to offer a full progression of courses, it seems very random patchwork. I'm looking for online sources.

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    • 2 replies
    • 1.6k views
  24. Started by Vastor,

    I don't know why people claim fx-570MS is right (most of these guys tell that their teachers said so ) , I mean:- (translated from my comment there) ‎9 is right... proof : ab = a * b, so 6 / 2(3) = 6 / 2 * 3 = 9. (translated from my comment there) so guys, which one is right?

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    • 12 replies
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  25. Basically, we don't know what the truth values for FT an FF (in implication) should be. We chose them to be true, but is there any basis for this choice?

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    • 6 replies
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