Mathematics
From algebra to calculus, from trigonometry to set theory, it's all here.
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From basic sequences, series and calculus, to measure theory, complex analysis and more advanced topics.
- 1.2k posts
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Set theory, groups and ring theory, linear algebra, and other algebra-related topics.
- 539 posts
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Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.
- 482 posts
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Ground-up mathematical tutorials.
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2404 topics in this forum
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Hello I'm heading into grade 10 in September (I really hope there is no age requirement...) and I adore science and math! Languages are cool too, I especially love English and French (the only two languages I speak, I live in Canada) ANYWAYS, as a 10th grader to be, I'm kind of an outcast, because, I can recite the periodic table (and do often, SCIENCE!), love math, and speak French fluently. But, hey, who cares? It's better than what some kids my age are doing :/. ONTO THE QUESTION! I'm wondering if you could help me depict the (average) size of this jar. I know, it's weird. However, you'll notice that the jar is filled with gummy worms. Yes. That's what I'm doing. …
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Is there any general equation to find the roots of an n-degree polynomial? Or is it not possible to construct such an equation?
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I've been working in R&D for a diagnostics company for about 3 months now. Ive come to realize that having knowledge of statistics really helps the process of research. Can anyone suggest some sources where I can educate myself on statistics for laboratory research. Books, websites, youtube, experience etc. ~EE
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Any idea how to solve equation? [math] \int_0^1 C(yW(x))W^3(x)dx=F(y)[/math] [math]W= 0.5(\cosh(kx)-cos(kx)-\frac{\cosh(k)+\cos(k)}{\sinh(k)+sin(k)}(\sinh(kx)-sin(kx)))[/math] Need to find C F(y) is known function. k- is known constant
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my questions sort of looks a bit like this ... ??
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A friend and I were recently watching "The Purge", and the topic came up that if everyone in the world killed only 1 person that the world's population would be halved. I thought about this for a minute and realised mostly it would be reduced by more than half and that in the extreme people pairing off and simultaneously killing each other could reduce it to 0, while still fulfilling the criteria. My question is what would a probability distribution of this scenario look like. What would be the most likely percentage remaining alive? What is this kind of maths problem called? Edit: Feel free to use 7 billion as the world population size or go with any smaller…
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i have been following maths like some sort of self learning process ... i was able to improve a lot of things myself ... i was able to understand some basic concepts a little bit more ... i was able to narrow it down like this ... then i also remember learning a lot of things about linear and non linear equations ... http://www.mathsisfun.com/algebra/systems-linear-equations.html http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/12-LinEqs_Direct.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/13-LinEqs_Indirect.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_1_FixedPoint.pdf http://www.…
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Hey folks! This is my first post and I am very happy to be here. I hope to contribute a lot, especially to the mathematics, physics, amateur science, and philosophy sections. I am trying to write a program, in C++, to replicate the Barabasi-Albert algorithm for generating scale-free networks (i.e. networks whose degree distribution is power-law distributed). In order to check whether the algorithm was correct, I plotted the degree distribution with a total of N=30,000 nodes. Unfortunately, instead of being power-law distributed, the resulting distribution was exponential -- it was a straight line on a linear-log plot over several orders of magnitude. Clearly, I've do…
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hi; I need some scientist's experiences ,my specific questions are below ; 1) do such journals care that from which (type of) journals our article's citation-references have been done (the equivalent question is whether will it be better us to cite and give references from just that journal we would submit our articles?) 2) how the ranks are being given according to this website : http://www.scimagojr.com/journalrank.php 3) does this mean that if one journal is "open access" ,then it will not be well known journal and I see we are able to make show all open access journals via using item on the website (given above) , but let think we found any journal…
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hello dear scientists; as I mentioned before times ,I have some interdisciplinary studies and some of them are article and as I understood; because of it might take longer time (taking patent) for scientific pojects ,I think it might be better to prepare the article ones. I am sure ,some of my article schemes should be unique and newest , but again some of them might be the articles that had been created and published in the past by other scientists. (how may we be confident that it had not been published in the past) ? this was the first question, secondly I would ask something about citing ; -->> do we have to cite from the articles whic…
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https://drive.google.com/file/d/0ByCTeSH4WyfPTWtMWEtGQjVPQ3c/view?usp=sharing
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Sounds like the definition of statistics, I'm looking for the best way to "compute" various permutations and from the permutations i need to create probability based on the perms. For example if i wanted to permute all the odds for all football matches played on a weekend, i would want to permute all sets, say theres 100 matches, down to 2 or more likely 3. with win, loose and draw, and all the permutations of possible teams i would then calculate the probability based on the odds, such that evens is 50% bet, 2/1 is 66 and 33 percent etc. I would like to know if theres any methods like the simplex, that could be modified to optimise the raw calculations, or for exampl…
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Trying to setup 3D Math right in svg here's how far I have gotten. The Z axis is obviously a translation on the x and y co-ordinates. At the moment I am using a translation of 1 but I am wondering would it be right to use the square root of 0.5? <script> function Three_Dimensional_Resolve_Points(matrix){ var svg = {width:800, height: 800}, midpoint = {x:svg.width/2, y:svg.height/2}; Z_Translate = {X : -1, Y : 1} X = matrix[0] + (matrix[2]*Z_Translate.X) + midpoint.x; Y = matrix[1] + (matrix[2]*Z_Translate.Y) + midpoint.y; return [X,Y]; } svg = { width : 800, …
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So, working with my method, here is what I got so far: [math]\frac{\mathrm{d} }{\mathrm{d} x}\left [ \left(3x+1\right)\left(\frac{x-1}{3}\right) \right ] = 2x-\frac{2}{3}[/math] What I noticed was if you get the resulting function, you can do the same process with that function. This leads to the constant at the end of the result to eventually reach 0. [math]f_{N}(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left [ f_{n}(x)f_{n}^{-1}(x) \right ] = 2x\pm \frac{1}{2^{n}}m[/math] [math]\lim_{n\rightarrow \infty } 2x\pm \frac{1}{2^{n}}m = 2x[/math] Some extra stuff, I decided to have the equation equal each function of the Collatz conjecture. [math]\lim_{n\righ…
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Eureka!!! I just proved the Collatz conjecture to be true!!! I' m in total disbelief, and I'm sure you all are as well, but I can finally prove it! However, since I'm a software engineer and not a mathematician, I'm sure any paper that I write would be inadequate at best. If my proof is verified to be correct, then such a paper needs to be written and structured correctly. What should I do? This is a tremendous opportunity to involve our community here at SFN to help me produce a paper and get it submitted to a respectable journal but, since the forum is not a journal and is open to the public, I risk someone else claiming my ideas as their own if share them here. Sin…
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Please give me ideas about Calculus Do not use histort but focus on math concepts, principes, laws, theorems etc.
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hello dear scientists .. I have created one interdisciplinary project ,and at first time when I contacted with harvard GSE , they replied in the same day of course, it was sent to incorrect department (it had been realised later) ,but in this e-mail it was said ..our office is not able to advise you regarding the subject of your inquiry. We recommend you contact the Harvard University Graduate School of Arts and Sciences at admiss@fas.harvard.edu for further help. after this e-mail, I wrote my project and sent to this e-mail given above , but it has not been responded for 2 months. in this case ,I would ask you whether this means rejection or not ? (it …
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-------------------------------------------------------------------------------- Hi i'm Fatih AYDIN from Turkey.I'm High School student and this is my kombination theorem about number of square (in attachment) ; Thanks For your time , all mathematicians !
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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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It came up in another thread where this ancient text did not describe Pi adequately, but in my research on how to calculate Pi I could see there was an alternative way of describing a circle, and most of us would have done this where the circumference can be marked divided by the radius 6 equal times using a compass. Steps: Using the compass to draw the circle. Using the same compass place the point on the circumference and draw a section onto the circle. move the point to where the section intersects the circle and repeat 6 times. There will be 6 points on the circle evenly spaced by the radius. Isn't this what is being described here? Some translate "did c…
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hello I am looking for science journals to publish my articles, the required stipulations are above (in title) but there will be no difference which stipulation is admissed for journals between being indexed SCI or SSCI . however because of I would continue my personal studies as interdisciplinary , it will be better if the (list of) journals are intellectual whiches you share. and regularly , because of willing to be respective,it is predictable to take refugee because of grammar or faults by spelling in literature. in this case ,I would ask "what are you doing for this statement?" , sorry I am creative , and have high strong self confidence ,and because of…
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We live in a 3 dimensional world, where everything has length breadth and height. But what if we live in a 2D' world? Every thing will be smashed down to a single plane surface. And what that world would look like? This is what explained in a novel "Flatland" by Edwin Abbott in 1800. But what is a dimension anyway? For us dimension is a direction, which we can picture as a line. For our direction to be dimension, it has to be at right angle to all other dimension. so 1D is a line, while a 2D is two perpendicular line. (a flat surface) Eg. when we stretch a line from its ends perpendicular to the line, We get a 2D square. Similarly a 3D figure adds a third perpendicular. …
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Hi, I have discovered a good solution to find a polynomial formula that goes through the specific points. Please first visit my page and give me your feedback http://wahamira.net/math/find-polynomial.htm Regards,
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Just a random hypothesis that I had in how a curved shaded area could be equal to a rectangular shaded area. Not even sure it works in 2D Space let alone 3D Space. If you need a further explanation just message me
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