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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.

    • 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 npbreakthrough,

    we use mathematics to probe the limits of our universe, its a philosophical issue that because we can accurately describe our material universe with mathematics , a mathematical basis for our universe is implied, but what if that is not accurate, and instead our failure to completely understand our universe, even our ability to ever fully understand our universe is because mathematics is too rigid perhaps the abstract ideas of mathematics invented by man fail because our universe is more analog then digital (i know analog and digital deal with something else, but its the best analogy i could think of at the moment, digital being mathematics)

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    • 11 replies
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  2. For my maths Homework i have to complete some simultaneous equations. I have come across some negative ones and we haven't done those. Is there anyway you could explain to me how to do them. The question is: (Please note: im not asking you to do it) 3a + 2b = 1 15a + 3b = -51 and 5m + 6n = -33 10m + 5n = -45

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    • 9 replies
    • 2.8k views
  3. Started by kidvisions,

    Hello everyone, I am new here So, having received an exclusively literary education I am particularly ignorant in mathematics and in science in general, but I would like to educate myself. The problem is that I don't know how to start. Can anyone suggest some websites, or books I can start with to learn mathematics?

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    • 14 replies
    • 3k views
    • 1 follower
  4. Started by 1123581321,

    I was wondering, is it that you can only add and subtract like terms... but what about multiplication and division.. and with powers or exponents like, 6^8, can you call them power coefficients... like the coefficient of terms such as 56t or 4ab etc...

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    • 12 replies
    • 2.3k views
  5. Started by Twizeguy,

    Certain sources label the death toll of the war at 62mil to 78mil, so lets call it 70. If they had three kids each approximately how many more people would be alive today?

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    • 3 replies
    • 3.5k views
    • 1 follower
  6. Started by npbreakthrough,

    My goal here is to see if there were any way to formulate an equation based on these rules.... 1. in a limited universe ( i know the odds are always "1" in an infinite universe) what may be the odds of 8 planets circling one sun, and one planet in the "Goldilocks" zone of its star, and also the odds of this solar system being outside the distance of some cataclysmic event ( IE solar flare, black hole etc) for long enough to account for our present circumstance (life, intelligent life) 2. using the terms from #1 as our target , what would be the amount of energy needed to assure that these odds happened at least once 3. the reason im proposing this problem ,…

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    • 19 replies
    • 3.4k views
    • 2 followers
  7. Started by niebieskieucho,

    The 8 is disregarded in the following multiplicands: 12345679 x 9 = 111,111,111 12345679 x 18 = 222,222,222 12345679 x 27 = 333,333,333 12345679 x 36 = 444,444,444 12345679 x 45 = 555,555,555 12345679 x 54 = 666,666,666 12345679 x 63 = 777,777,777 12345679 x 72 = 888,888,888 12345679 x 81 = 999,999,999 And that is why the 8 revenged itself on the 1 ignoring it in a step-like product: 12345679 x 8 = 98,765,432 By the way, in this way you can check if your calculator calculates properly

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    • 11 replies
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  8. Started by Dekan,

    Would we be better off using a higher base in our maths? Humans mostly use base-10 arithmetic. Probably because we have 10 digits on our hands. But of course other bases are possible: computers use binary base 2, old computer programmers in machine-code used "Hex", base 16, and the ancient Babylonians calculated in base 60 (at least in their astronomical tables). For such astronomical calculations, base 60 is supposed to have been particularly convenient. Because 60 could be divided by so many smaller numbers: 2,3,4,5,6,10,12,15,20,30. This convenience brought the disadvantage, of having to remember 59 different numerical symbols. However, modern Chinese m…

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    • 25 replies
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    • 2 followers
  9. Started by Athena,

    If the 64 DNA code is put in a matrix, what information might result?

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    • 6 replies
    • 3k views
  10. Started by cookertron,

    I'm working on a theory but my maths is as good as a chimps so I'd really appreciate some advice. I'm trying to find out if it's possible to add a single bit to a binary number without using a computer, for example; 19 = 10011 If I add a single bit (1) then the result is 20 = 10100 so on and so for... If I didn't have a computer how would I be able to work that out in a mathematical way? I can generate an alternating binary switch by using this simple loop a = 1 b = a - b My objective: c = c + b The problem is that b is in binary form so c must also be binary in order to increment the counter? I hope you understand my…

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    • 4 replies
    • 1.7k views
    • 1 follower
  11. Does anyone know what the letters [math]\mathcal{D}(\mathcal{O})[/math] in spinor calculus means?

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    • 4 replies
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  12. Started by Mr Rayon,

    Hey, everybody! Just watched this video on youtube regarding the golden ratio and it's association with the city of Mekke. And I don't know much about the Koran or even extensive knowledge of mathematics but this has got me going. Could Islam be the real deal? I'm scared. What do you logical scientific people think? Could Islam be the real deal? I think I'll let you SFN mathematicians decide! http://www.youtube.com/watch?v=wUOxz3q__ko&feature=channel_video_title

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    • 9 replies
    • 3.1k views
  13. Started by clementyt86,

    Suppose that the aircraft flies at constant heightand constant speed along a flight path which passes directly above the observer. Assume the speed of the sound is Vs=340m/s, suppose that the aircraft travels at Vp (m/s). you may find it more convenient to work with the ratio of these speeds. The ratio Vp/Vs is called the 'Mach number' and is denoted by m. Subsonic flight corresponding to m<1 and supersonic flight to m>1. Let x be the coordinate of the aircraft and y the coordinate of the apparent source of the sound at any particular time. Choose the positive direction to be that in which the aircraft is travelling, which means that x<0 before the aircraft p…

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    • 0 replies
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  14. I am using a brute force approach to solve a version of the traveling salesman problem. I am looking into ways to optimize it but there are many. Basically I need help further defining the problem and how to solve it optimally. Given [path] [start city] [end city] [distance] P1 C1 C2 100 P2 C2 C1 400 P3 C1 C3 300 P4 C3 C1 200 P5 C2 C3 100 P6 C3 C2 400 Determine the shortest path which tours all the cites. Currently i check all possibilities using all combinations nCk where n = 6 and 3 <= k <= 6, filter these solutions to make sure all cities can be reached and finally choose the one with the lowest cost. …

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    • 5 replies
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  15. One-way (trapdoor) functions are at the heart of some encryption schemes such as RSA and PGP. So far there is no known method or algorithm of factoring product of two large primes in polynomial time. Absent breakthroughs in quantum computing, a 4096bit RSA PGP key would take much longer than the known age of the universe to brute force, even with general number field sieve (GNFS) algorithm... <br /><br />As far as I know, no one has published anything either way that proves there cannot possibly be a way to factor in polynomial time (using conventional non-quantum computing techniques) nor has there been a proof that states there is or should/could be a way to…

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    • 5 replies
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  16. Started by ampakine,

    In my lecture notes on confidence intervals the lecturer wrote this: I don't understand the notation of that bolded text. I know X is a random variable, μ is the population mean and σ is the population standard deviation but what does the ~ mean? Also the N(μ, σ2) I assume means normal distribution but is that some kind of standard notation for distributions? For example if I said N(23,9) would that mean the normal distribution with a mean of 23 and standard deviation of 9?

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    • 4 replies
    • 2.4k views
  17. Started by CSte88,

    Friend of mine showed me this last week and I though nothing of it, now I see its on facebook to day. To me all three answers look correct, but I'm sure that only one of them is (the second one). 6÷2(1+2) = 6÷2(3) = 3*3 = 9 or 6÷2(1+2) = 6÷2(3) = 6÷6 = 1 or 6÷2(1+2) = 6÷2+4 = 3+4 = 7 Anyone any ideas?

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    • 4 replies
    • 1.6k views
    • 1 follower
  18. Guest bgjyd834
    Started by Guest bgjyd834,

    Is there any way to find out what the following becomes? Thanks in advance!

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    • 15 replies
    • 2.9k views
  19. Guest bgjyd834
    Started by Guest bgjyd834,

    Can anyone recommend me some good number theory books please? thank you

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    • 2 replies
    • 1.2k views
  20. Started by michel123456,

    Mathematics look like naturally emergent from reality. 1+1=2, it is an evidence. I just wanted to throw an idea where 1+1 is not exactly equal to 2. The concept is the following: When stating 1+1=2, we have made an operation, called sum, in which the operator (the + sign) although "operating", has no value. I mean the result (2) has no inscription of the past operations being done in order to obtain its value. Trying to explain: 2 can be the result of a very simple calculation, or the result of an incredible 20 volumes 30000 pages calculations. There is no "memory" in number 2 showing if it has been picked randomly from the number line or if it is the resul…

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    • 10 replies
    • 2.3k views
  21. Started by sysD,

    ****I'm sorry, I figured out the answer to my own question. Is there a way to change the title of the thread?***** I have a related question: Title: Ternary Operators What are some examples of ternary operators in mathematics (not programming)?

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    • 8 replies
    • 5k views
  22. Started by bimbo36,

    which is same as y = ^ i hope .. anyway .. help

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    • 1 reply
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  23. Started by sysD,

    Hey there, I was just wondering if there is a simple way to find turning point (tan=0) coordinates without using calculus.

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    • 7 replies
    • 4.8k views
  24. Started by slick,

    I am a latecomer to this problem having watched the program about FLT and Andrew Wiles and I am no mathematician so I am looking for a bit of help understanding this. I have googled and read but most of the stuff is completely impenetrable for a layman. The thing that confuses me most is that the theorem seems fairly easy to 'prove' in descriptive visualisation terms so why is it so difficult to prove mathematically. How I visualise it is as follows: The basic premise is: an + bn = cn cannot be true where n is greater than 2. My starting point is to visualise pythagorean triples where a2 + b2 = c2 is true. In this case I can describe three squares of which square …

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    • 45 replies
    • 7.6k views
    • 1 follower
  25. Started by bimbo36,

    thanks

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    • 2 replies
    • 999 views

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