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

    • 464 posts
  1. Started by mercuryv8,

    Not sure if this is the right section or not but... I have a problem with my Ti-83 In the list edit menu there is no L1 I have to use L2, L3 .... I have tried clearing them memory. I've tried taking out the primary batteries. What else should I try? Thanks for any help. If there is a better section for this thread, please move. Thanks Nic

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  2. Started by Asian,

    Anyone know how to factor on a TI-83+?????????

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    • 2 replies
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  3. Started by Asian,

    i accidentally erased my memory and deleted all my orginal programs, those that came with it. is there a way to get them back without having to download them agian?

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  4. Started by DevilSolution,

    Okay so recently ive been studying computer graphics, polygons, triangles, vectors, circles etc, alot of trig and cartesian matrice addition (with trig functions in one matrice to find the position of the new triangles etc). I dont have great background knowledge of trig so i revised over some of the stuff i did back 6-7 years ago which is just SOHCAHTOA and circle trigonomic graphs. After i fully understood the euclidic geometric axioms (or the area's i needed for my specific graphic module), i got to thinking alot about triangles. First i'd like to offer that if you split a circle into 4 equal parts by folding it in half and half again, your left with 4 right an…

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  5. Started by Maria2015,

    hello everyone I need help in this exercise. my attempts: i)resolved. ii) (t)=(1/n)=inf{s \in T: s>t}=1/(n-1) (t)=sup{s \in T: s<t}=1/(n+1) (t)= (t)-t = 1/(n-1) - 1/n =1/n(n-1). my answer for (ii) is right !! Thanks.

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  6. Started by krstlmthd,

    terrence mckenna derived the FRACTAL TIMEWAVE out of the KING WEN sequence of the I CHING. i have looked at his math and it is very complicated and i do not understand, plus I know nothing about FRACTALS except that they relate to the structure of CRYSTALS. it is my theory that the universe is really just one big giant CRYSTAL and i think terrence mckenna went a long way to prove that with the timewave. he says that history is feeding back on itself and that time resonates over and over again and that these resonances are increasing and will reach infinity in THE YEAR 2012 WHICH IS THE END OF TIME. he does not explain what happens in 2012 but says that man…

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    • 9 replies
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  7. Started by ydoaPs,

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  8. I'm a school student*; and like many other school students, I have a hard time with mathematics. I figured I'd do some extra work at home so I bought and tried out Langs "Basic Mathematics"; which is, as the title implies, basic. But I had a hard time following it from the first or second chapter so I quit. It was probably too advanced, so can anyone give me tips of literature that gives the absolute basics? I know the concepts of addition, subtraction, dividing and stuff you learn since you're a little kid, but after that things start to get blurry. I assume that the school system takes our knowledge of previously covered concepts for granted. But honestly, I forget most…

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    • 7 replies
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  9. Guest molesqualeux
    Started by Guest molesqualeux,

    Hi , I need your help . I search on the web an algorithm that can solve an n equations system at n unknowns . Thanks a lot!

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    • 7 replies
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  10. Guest
    Started by Guest,
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  11. Started by Abstract_Logic,

    Let [math]X[/math] consist of four elements: [math]X= \{a, b, c, d\}[/math]. Which of the following collections of its subsets are topological structures in [math]X[/math]? [math]1. \emptyset , X, \{a\} , \{b\} , \{a, c\} , \{a, b, c\} , \{a, b\};[/math] [math]2. \emptyset , X, \{a\} , \{b\} , \{a, b\} , \{b, d\};[/math] [math]3. \emptyset , X, \{a, c, d\} , \{b, c, d\}?[/math] Are they all topological structures in X? If they are not, why are they not?

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  12. Started by German26,

    hello I am interested in topology anlysis what requirements or knowledge do I have to learn topology anlysis thanks you verf much

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  13. Started by ydoaPs,

    tommarrow, i am going to order some books and i need some information: i already have a background in differentiation and integration. what do i need to know before topology? is differential geometry before or after or the same as topology? any reccomendations on books would be nice as well.

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  14. 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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    • 16 replies
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  15. Started by Kyrisch,

    So for a Senior project, my partner and I were assigned the topic "Mathematical Curiosities", which is quite a broad scope. We have, however, since narrowed it down (with some work on the properties of Möbius Strips) to the field of Topology, specifically manifolds and their properties. We can't, however, think of any good actual project ideas. I want to actually do something as opposed to simply exploring. I was wondering if you guys might have any suggestions? For instance, the string theories are starting to tie topology into physics and we were curious as to whether or not we could work that angle (since I'm going to major in physics in college). Anything would be wel…

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  16. Started by JPtux,

    Okay, I have a math question that I would like help with. My teacher and I are unable to solve this problem for some reason: In 3-dimensional space line m intersect plane P in point T, and m is perpendicular to P. The points in space which are 2 inches or 4 inches or 6 inches from plane P are also 5 inches or 7 inches or 9 inches from point T lie on circles. Find the sum of the squares of the radius lengths of the circles. Our answer is 616 but the answer is supposed to be 596. Can anyone solve this? P.S. I'm sorry if I posted this in the wrong forum, I'm new. NOTE: Not a HW problem. Thanks in advance!

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    • 9 replies
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  17. Guest Doron Shadmi
    Started by Guest Doron Shadmi,

    Cantor used the expression 2^aleph0 in order to represent the magnitude of R set. Since base 2 can be represented as a tree diagram, we can use it in order to research a collection of infinitely many elements. For example, let us look at the infinitely long Top_to_Bottom blue tree, which is also represented as {1, 2, 4, 8, 16, ...}. It is obvious that we always find finitely many leafs in any arbitrary level of this tree, so this tree cannot have the magnitude of 2^aleph0. Furthermore, since in any arbitrary level we are still in N set, we can never define aleph0 as a transfinite number. Now let us say that we start by a collection of infinitely man…

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    • 51 replies
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  18. Let us consider a transformation $T$, which converts a vector into a symmetric matrix, e.g. Xh=[x1,x2,x3]T , then \(T(X_h) =. I want to have this type of decomposition: T(QXh)=Q¯T(Xh)Q¯T. Here, $Q\in \mathbb{R}^{m\times \frac{q(q+1)}{2}}$, $\bar{Q}\in \mathbb{R}^{p \times q}$, $T(X_h)\in \mathbb{R}^{q \times q}$ and $X_h \in \mathbb{R}^{q(q+1)/2}$. For example: Consider a known constant matrix $Q \in \mathrm{R}^{10 \times 3}$. A vector $X_h = [x_{11}, x_{12}, x_{22}]^T \in \mathrm{R}^3$. Decomposition must be like, T(QXh)=Q¯T(Xh)Q¯T=Q¯[x11x12x12x22]Q¯T where, $T(QX_h)\in \mathrm{R}^{4 \times 4}$, $\bar{Q…

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  19. Started by MGTEsq,

    Hello, This is a question for the professional mathematicians on this board. I want to become a mathematician. My background is in law. I would most likely be able to begin studies in the spring semester of next year. I am 25 years old. From your perspective, am I coming to mathematics too late in life? Do you have any advice to someone wanting to make the transition to math? A few other questions: In law, we approach problems using "legal reasoning". Legal reasoning is an approach to problem solving taught in legal schools, and learned with practice. Is there an analogous process of approaching mathematical problems along the lines of "mathematical reasoning"…

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    • 5 replies
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  20. Started by Trurl,

    This is going to sound ignorant. I apologize ahead of time. I have limited knowledge of “The Traveling Sales Man” problem. But maybe the problem is drafting. If circle were drawn with the radius of the distance between 2 points would the straight line distance between where the circles intersect be the shortest path? That is easy to say. But I don’t know how to test it. I also haven’t studied current attempts. Is this similar to others attempts?

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  21. Hello to All, This is a continuation of the post "Travelling Salesman Problem" given by me in Appplied Mathematics section. I am giving a very simple explanation of the algorithm so that it becomes easier to understand. I did not see that postings could be made in the Mathematics section. That is why I am posting here. The main advantage of this approach is that the exact solution can be obtained for "complete" graphs in polynomial time. ( Please note that the word "complete" which is mentioned here is the same mathematical term used in graph theory ). I tried out the "complete" graph examples in the textbook using pen and paper and they are…

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  22. Started by TheGeek,

    hi, if you are given a triangle and there is a cirlcle circumscribing it. how do you find the radius of the circle?The triangle is not special.(not a right triangle or anything) is there a formula for this? thanks

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  23. Started by md2,

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  24. Started by grayfalcon89,

    This is a very easy problem. Prove that if you connect midpoints of sides of any triangle to form a new triangle, the ratio of the area of the new triangle to the original triangle is 1:4. Remember, proving means showing for all cases. It's easy to see this is true by equilateral triangle but that's not really proving.

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  25. Started by operator,

    Thanks dave for the last piece of information. I find myself stuck on a question about triangles. What is the side length of an equilateral triangle if the area is 1732 cm squared. What is the equation? I'm missing something? Thanks in advance

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    • 3 replies
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