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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.

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  2. Set theory, groups and ring theory, linear algebra, and other algebra-related topics.

    • 539 posts
  1. Started by devrimci_kürt,

    we teach in türkiye-anatolia ,Natural Numbers to start at 1 and not to include zero.. but, I could never understand how one could not say that 0 were a natural number if zero(0) is a Natural Number,why? someone said:It depends on the frame of reference you use. right?

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    • 4 replies
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  2. Started by Externet,

    Hi. What would be the vertical motion amplitude at 5 metres below surface for a seawave of 0,5m amplitude (1 metre peak to trough) at surface? There is some formulas at wiki but unsure how to translate them into what I want to know

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  3. Started by devrimci_kürt,

    x^4 +y^4+z^4 =4xyz-1 denkleminin bütün gerçel çözümlerini bulunuz x^4 +y^4+z^4 =4xyz-1 Find all real solutions of the equation

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    • 1 reply
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  4. Started by Laure,

    Hi My teacher asked me to program this thanks to Matlab, but I am not able to understand anything: "Indeed, we first compute the short-time magnitude spectrum and phase spectrum of the segment in a neighborhood (32 ms) of the sample Note that the spectra are obtained through first multiplying the segment by a 256-point Hamming window followed by performing fast Fourier transform (FFT) analysis. Moreover, such operations are carried out for each sample. Second, we compute the short-time magnitude spectra of four neighboring segments which overlap with the original segment by 12 or 24 ms (i.e., two of the neighboring segments are obtained by shifting the analysis…

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    • 3 replies
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  5. Started by Petanquell,

    Hey guys, I talked with a guy who studies mathematics and he told me that his friends from collage found their "limits" (mostly in third grade) and now the don't have a clue what's going on, and just learn mechanically like medival scholars did. He also told me that only some chosen ones still understand it. Does anyone you know of feel a similar effect? And now something completly diffrent, will you press (softly, of course) on your child to do math?

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    • 8 replies
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  6. Started by Shadow,

    Hey all, I'm curious as to how to calculate the surface/volume of a shape I though of the other day. Since I don't know if what it's called (heck, I don't even know if it exists) and I'm not even close to being good enough with Photoshop to make a picture, I'll have to describe it, which may prove a little tricky. So, here we go. It's three dimensional. Imagine you have a circle with center [math]S_1[/math] of radius [math]r_1[/math] in space. Now imagine on either side of it, an n-sided convex regular polygon with a center [math]S_2[/math] and diameter (that is, the distance between the center and the place where two edges meet) [math]r_2[/math]. The distance bet…

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  7. Started by devrimci_kürt,

    Mathematics is certainly a science in the broad sense of "systematic and formulated knowledge", but most people use "science" to refer only to the natural sciences. Since mathematics provides the language in which the natural sciences aspire to describe and analyse the universe, there is a natural link between mathematics and the natural sciences. Indeed schools, universities, and government agencies usually lump them together. (1) On the other hand, most mathematicians do not consider themselves to be scientists and vice versa. So is mathematics a natural science? (2) The natural sciences investigate the physical universe but mathematics does not, so mathematics is not r…

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  8. Started by ajb,

    Let me first (loosely) define both synthetic and analytic geometry. Synthetic geometry- deductive system based on postulates. The geometric objects are endowed with geometric properties from the axioms. This is includes the "high school" geometry of drawing lines and measuring angles etc. and from there making deductive statements. A geometry can be defined as a set plus a symmetric, reflexive relation. (Does it really need to be a set?) Analytic geometry-represent geometric objects using local coordinates. This makes much use of algebra (and in the differential case, calculus). I will also include algebraic geometry here (so sheaves, affine varieties etc …

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  9. Started by devrimci_kürt,

    Why 2 multiply 2 is equal 4?proof?

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  10. Started by alan2here,

    http://www.dimensions-math.org/Dim_regarder_E.htm I recently found this amazing recource. The whole of the first series is on one subject but I like that in that it starts simply and dosn't move to quickly. It builds up to verry complex stuff.

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  11. Started by Royston,

    There was some discussion as to whether maths could be considered art. I was sent home from work today, due to a rather nasty infection, so I decided to plot some simple functions through mathcad, that shows you can manipulate an equation to obtain a desired shape. For anyone who uses mathcad, I've supplied the functions at the top of the pics. Not particularly special, but I hope it illustrates you can be creative with maths if you wish...I've added pretentious names, to make the images more arty Hmm, having problems uploading pics... Right...Dark Knight, and Valley of the Icey Math People. Note the functions are very simple, but plotted on a surface.

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  12. Started by Gareth56,

    I've tried distributing etc but cannot get the correct answer of 60.1N My book doesn't give the steps. Tsin37 + (1.33T)(sin53) - 100N =0 I never know what to do with the (1.33T)(sin53) Any assistance would really be appreciated.

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    • 7 replies
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  13. Started by Baby Astronaut,

    Correct me if I'm wrong, but is the difference between Euclidean geometry and non-Euclidean is that the latter includes the former but simply added the idea of doing measurements along the curved surfaces of multi-dimensional spheres and objects?

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    • 4 replies
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  14. Started by stephenvalle,

    Hey guys. I'm really interested in learning discrete mathematics and logic. What math should I already know before buying a discrete math textbook?

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  15. Started by Shadow,

    Hey there all, this might be a pretty stupid question, but is there a method that allows one to extract the function from a graph? I know that one graph can represent many different functions, but if I didn't care which one, as long as that function would produce the same graph when plotted. Also, I don't mean functions that look like [math]f(x)=\begin{cases} \mbox{something} & \mbox{if } \mbox{something} \\ \mbox{something else} & \mbox{if } \mbox{something else} \\ \mbox{still something else} & \mbox{if } \mbox{still something else} \\ \mbox{\vdots}&\mbox{\vdots} \end{cases} [/math] ..and have a separate condition for every point. I know th…

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    • 13 replies
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  16. Started by Gareth56,

    Apparently mg + mv^2/r = mg(1 + v^2/rg) but does anyone know what is the name of the process?

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    • 5 replies
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  17. Hey all, well, the title speaks for itself. Given a cube, what is the angle between the diagonals of two neighboring squares? Here's an illustration, just in case: It looks a little strange since it's a 2D picture, but I think you get the picture. Literally. My gut tells me it's either 45° or 60°, but...well, that's just my gut. the title almost speaks for itself. Given a cuboid, where [math]a \neq b \neq c[/math], how can I calculate the angle between the diagonals of two neighboring rectangles? Cheers, Gabe

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    • 9 replies
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  18. Guest m0tvl
    Started by Guest m0tvl,

    Is it possible to create a logarithmic algorithm of prime numbers and a sequence of factors to produce a table in Exel.

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  19. Started by alan2here,

    Google docs gives the option to draw an orginisation diagram, it shows hyrachy in an orginisation. me parent son1 me son2 me son3 me Drawing this gives you a box at the top entitled parent with a line going down to me and then branching out to 3 sons. Moving on to another expample. 2n n 0 0 2 1 4 2 6 3 The values in the top row are lables, the second column is increased by 1 each row. The first column is double the second column. If we continue this chart up to n=40 and draw it according to the rules this is the result. http://img253.imageshack.us/img253/7651/image1kq7.png This allows you to see th…

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  20. Started by Mr Skeptic,

    Is it possible for something to have a negative number of dimensions? Or is that just meaningless? How about imaginary dimensions? The reason I ask is that there seems to be something missing in the table of simplex elements to make a complete Pascal's triangle.

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    • 6 replies
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  21. Started by Shadow,

    Hey all, as some may know, I've been attempting to learn calculus lately, and despite the fact I though I had already mastered the part of the tutorial I was reading, I did encounter a slight problem for which I cannot find a logical explanation. Let us have a [math]f(t)=2t + 1, t\in N[/math]. Its graph would then be a line going starting at [math]A=[0, 1][/math] and going through [math]B=[1, 3][/math]. If we subtract two from the output, we will get [math]f(t)-2=2t-1[/math]. The graph will be a line starting at [math]A=[0, -1][/math] and continue on through [math]B=[\frac{1}{2},0][/math]. In other words, the graph will be moved down by two. It's minus, so it's do…

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    • 4 replies
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  22. Started by johan01,

    Can anybody help i have been reading up on goedels incompleteness theorem, and still am not able to grasp its true meaning and implication. Is there somewhere , where i can try and understand it , in its simplest form with a simple example or application. regards

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    • 8 replies
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  23. Started by Shadow,

    Hey all,

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  24. Started by Shadow,

    Hey all, another post just reminded me about this, and I've been wanting to post it for quite some time. However, math syntax and me don't go together, so excuse the errors. Let us have a function (I'm using different brackets so they don't get confused with part of the interval) [math]N[x][/math], where [math]x[/math] represents an interval, and [math]N[x] =[/math] the number of real numbers in the interval [math]x[/math]. I know it will always be infinity, but bear with me. Let [math]a_n= N[ <n; n+1) ] \Rightarrow N[ R^{+}_{0} ]=\sum_{n=0}^{\infty}a_n[/math]. [math]\forall x \in R: x \in <1 ; \infty)[/math] [math] \Rightarrow 1/x \in (0 ; 1…

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    • 22 replies
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  25. -------------------------------------------------------------------------------- I know how to differentiate F=Ma, so since integration is the inverse process to differentiation, how would one perform integration on the equation F=Ma? Thanks in advance Does no one know?

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    • 16 replies
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