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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 Sarahisme,

    Hi all again! I'm sure there is a simple answer/solution to this problem...or a way to do it anyway, i just can't seem to get it. why does this = 1/e? Thanks Sarah

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    • 4 replies
    • 1.6k views
  2. Started by ydoaPs,

    i have no idea what anything above a 2-sphere would look like. a 2-sphere is like the surface of a ball. a 1-sphere is a circle. a 0-sphere is two points. why is a 0-sphere two points? i would have thought that a 0-sphere would be nothing since it is the set of all points a certain distance from the center in zero dimensions. how do you know which two points the sphere is?

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    • 28 replies
    • 3.9k views
  3. Started by RyanJ,

    Ok, here is the question (From an old textbook I found...) Princess Amira demands only the most luxurious of accommodations. So for her bath, she had glacial ice from Terror Mountain shipped to her palace in the Lost Desert. There, the ice was carved into a perfect sphere, exactly 2 meters in diameter. The ice sphere melted into her hexagonal bath measuring 1.5 meters on a side, and 0.8 meters deep. If the desert heat uniformly melts the surface of the ice at a rate of 1.5mm of depth per minute, how many minutes will it take for her bath to be completely full? Please round up to the nearest minute, and assume the volume does not change between solid and liquid sta…

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    • 10 replies
    • 2.3k views
  4. Started by Martyn,

    Myself and a few friends have been wondering what exactly infinity is, and does it really exist? i, personally, do not believe in infinity. what are your views?

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    • 79 replies
    • 13.1k views
  5. Started by cessna7686,

    This might be a real simple one, not sure. I want to make a box (let's just say a cube) where 5 of the panels are the same width, and one panel is a different width. I also want to calculate the heat flow into the box which requires knowing the width. What's the best way to do this? I did (5*width A + 1*width B)/6. Is the average width the best method to use? Thanks

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    • 10 replies
    • 1.9k views
  6. Started by ericakim,

    Hello. If anyone could help me out and offer any insight, I would be totally grateful! A repeated measures T-test for each group showed one group is signficant and one group is NOT significant. So why would my mixed ANOVA test show NO Group signficance (main effect) and NO Time*Group (interaction effect) signficance? More details: I ran a mixed ANOVA with: Between-groups variable = Group (2 levels) Within-groups variable = Time (2 levels) Time (main effect) is significant Group (main effect) is NOT significant Time*Group (interaction effect) is NOT significant. HOWEVER: 1-way repeated measures ANOVA for Group A, is significant. Paired Samples…

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    • 0 replies
    • 916 views
  7. Started by BigMoosie,

    I have worked out the formula for plotting a torus but I cannot seem to simplify it into a general equation. This is what I have got: [math](a-\sqrt{x^2 + y^2})^2 + z^2 = b^2[/math] Where [math]a[/math] is the radius from the origin to the center of the pipe and [math]b[/math] is the radius from the center of the pipe to the surface. Any attempt I make to remove the square root just complicates things even more.

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    • 3 replies
    • 9.7k views
  8. Started by bmaxwell,

    Hello, I found this forum last week while looking for resources to help with my return to college adventure. I am returning to school to finnish my Math Degree after more than 10 years. I droped out of school when my wife was pregnant to find work in the then strong economy. The Dot Com boom was just getting underway at that time and the fruits of my labor were many. However in the down turned economy even after down sizing my families home, vehical, recreation time (no more cable television or movies), my job satisfaction is at an all time low. Realizing that I dont mind living with less I have decided to change careers and become a High school Math Teacher (and h…

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    • 3 replies
    • 6.3k views
  9. Started by Externet,

    Two identical ships next to each other in the middle of a river heading against the current; one at full throttle developing 1000 horsepower just counteracts the current and does not advance at all. The other is anchored. How many horsepower does the anchor produce ?

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    • 49 replies
    • 6.5k views
  10. A person at the centre of a circle needs to tarvel to 5 cities on the circumfarance of the circle. Each city has 5 gates that allow him/her to get through to the city. There is a charge involved when going through each gate. Furthermore, after going through a gate, the charge on all the other gates change (ie they are dynamic). The person is aware of the resulting change in charge by going through a gate, BEFORE entering it. I hope I haven't confused you too much!. I'd like to know your thoughts on this problem. How you would approach a problem like this. A possible matrix???? See it differs from the coonventional TSP problem by the fact that the charges…

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    • 1 reply
    • 1.1k views
  11. Is there a good 3 dimensional (cartesian coordinate system) graphing calculator online anywhere? Again I have tried several times but couldn't find anything free AND good...

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    • 3 replies
    • 3.2k views
  12. Started by question,

    Okey, i am confused about this matter. I have two different samples. One is 5 untreated/control samples (same kind) and the other is a 50 treated samples (same kind). I wonder what kind of statistic methods i can use to compare the results between them? I don't think that i can use ANOVA, since they need at least 3 different samples. Besides i can not use T-test or Z-test either, since the former needs both samples to be at a small number n<30, while the latter needs both samples to be large n>30. My samples is n=5 (controll samples) and n=50 (treated samples). Hope for inputs. Thank you!

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    • 5 replies
    • 1.6k views
  13. Started by kingjewel1,

    Hi guys! I'm told arg( z/z-2)=pi/4 How do i find the locus of this? so far i did. but i don't know if this is correct. from argz - argz-2=pi/4 [math]\frac {\frac{y}{x}-\frac {y}{(x-2)}}{1+\frac{y}{x}\frac{y}{x-2}}[/math]=[math]1[/math] then [math]=> (xy-2y-yx)(x-2)=(2x-2)x(x-2)[/math] therefore [math]-2y=2x-2[/math] so y=1-x Thanks in advance

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    • 17 replies
    • 2.6k views
  14. Started by BobbyJoeCool,

    To a bunch of Math people, this question will be pretty easy... But do it completly alebraicly (no graphing). We did this question in high school calculus, but we were able to use a graph. I refused to "cheat" by graphing it, and tried it the algebraic way. It took me several pieces of paper, but I was able to do it, and was very proud of myself, but I was trying to show someone how to do this and I forgot how I did it (I keep comming up with a whole bunch of Ø's and 2?'s that I couldn't get rid of). You have a circle with radius "r." You cut out a sector of the circle at an angle of "Ø." You turn the two circle segments into cones by taking the two lines create…

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    • 20 replies
    • 3.4k views
  15. Started by pljames,

    Mathematics will never be my balliwick but I try to underand the basics of mathematics and to me there three phases. ( 2x2=4 2+2=4 and 2 to the second power=4 and or 4=2+2 4=2x2 and 2=2p. I also love algebra but only the basics. Is their another way to learn mathematics like basic elementary algebra? pljames

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    • 1 reply
    • 1.4k views
  16. I understand exponents, I eventually figured out how you manually do negative exponents, but how do you do something like: 3^.4? How do you do something like: abs[3]^3? Can you multiply together absolute values? I am only in algebra right now, not even geometry, but nobody else even cares how they do as long as they pass, but i want to understand this stuff!

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    • 27 replies
    • 23.3k views
  17. Started by Johnny5,

    I'm not sure the best category to post this in, so I'm putting it here. In the the link I am about to post, there is a 3D game programmer Diana Gruber discussing quaternions. During the thread, you can see her progressing towards understanding them. In trying to figure them out, she was led all the way to their inventor Gibbs. I don't know where she finally found Gibbs' work, but she did, and she pasted his equations. Gibbs equations for quaternions My question is about the matrix which Gibbs developed. Is anyone here comfortable enough with quaternions to discuss them? I want to understand that matrix. PS: A few posts later, Ms. Gruber writ…

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    • 5 replies
    • 1.8k views
  18. Started by onemind,

    Hi, I've been searching google for good ath software but i cant find anything decent. What i'm after is a program that can graph equation simply with trig functions ect. Any links? Thanks

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    • 9 replies
    • 2.7k views
  19. Started by Penumbra,

    Hi, I am 100% new to all of these boards. I have been drawn here because I saw a science forum, and inside of that an astronomy and cosmology forum (!). I thought it would be better to ask here, and not in science for my question about scientific notation. I remember learning about this, a long time ago, but I have forgotten, and need help. =\ Is there any easy way (minus using a calculator) to solve equations such as 26^78 or 13^90 and so on? I'm just making up these numbers at random, so please be gentle. I appreciate any help!

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    • 11 replies
    • 2.4k views
  20. Guest skjxujs
    Started by Guest skjxujs,

    hello: my text book have a very vague explanation of the meaning 0 term connective, simply the set of 0 and 1, and my aftermath understanding of the definition are hindered. can any body give me a better explanation of that any comment is welcommed.

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    • 1 reply
    • 1.1k views
  21. Started by aclavec,

    I am looking for a payout algorithm. Here is the problem. Variables - Number of Users, Entry Fee (Per User) Each user enters a competition and pays an entry fee. When the competition is complete each user is ranked and is paid based on their performance. I am trying to generate an algorithm which will take in the number of users and their entry fee and calculate a payout for each user. I would like all players to receive a payout even if last place gets practically nothing. I suspect the graph of the payout curve would look exponential. I would like this algo to be configurable to maximize the houses take, or to maximize payout to the users. Any th…

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    • 6 replies
    • 3.6k views
  22. Started by kingjewel1,

    A (5j+5k), B(3i+2j-k) [math]r=5j+5k+t(3i-3j-6k)[/math] C is perp to r so [math]C is (5i+5j)[/math] O,A,B,D form the vertices of a parallelogram OBAD Find position vector D. How do i do this one? Cheers. As you can see, i've got my exam tuesday morning. I'd appreciate it if you could give me a hand. Thank you.

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    • 2 replies
    • 1.1k views
  23. Started by cscott,

    Can someone please explain what f(x) = y means? I know it's function notation, but what does it imply?

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    • 13 replies
    • 2.4k views
  24. Started by kingjewel1,

    Hi there [math]\int\frac{2}{\sqrt{x}(x-4)}[/math] I need to integrate this, but i'm not getting the right answer. Apparently the answer involves logs but i don't see why. Substitution is [math]u=\sqrt{x}[/math] Can anyone give me some help with this guy Thank you in advance.

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    • 2 replies
    • 1.3k views
  25. Hi i came across this practice question that i have no idea on how to go about it. Five balls are randomly drawn without replacement from a bag containing 4 red balls and 6 black balls. What is the probability that at least 3 red balls will be drawn? the answer is 0.2619 I've tried tree diagrams and the formulas but none of them work, may someone please teach me how???

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    • 1 reply
    • 1.8k views

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