Mathematics
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From basic sequences, series and calculus, to measure theory, complex analysis and more advanced topics.
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Set theory, groups and ring theory, linear algebra, and other algebra-related topics.
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Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.
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Ground-up mathematical tutorials.
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2400 topics in this forum
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http://www.authspot.com/Thoughts/Is-Luck-Real.255107 This is something i found and i was wondering if someone could explain the math in the third paragraph.
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basic question: 1/ on day one, 45% of people are in favour of x 2/ on day two, 50% of people are in favour of x assume a margin of error of [math]{\pm}[/math]0% and a certainty of 95% (i.e., 5% chance of each statement being false). so, what's the certainty of the conclusion 'therefore, support for x has grown between days 1 and 2'? I suppose that if there's a 5% chance of each precept being wrong, and two precepts (i.e., 2 chances for a precept to be wrong), then there'd be a 10% chance of... what? the conclusion being not neccesarily true? The certainty of the conclusion seems as if it'd be 10%, but that feels a tad wrong. e.g., precept 2 could b…
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Reputation Points
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This may seem completely random, but my roommate and I were having an argument about whether or not there is a set of parabolas that, when paired together, a circle tangent to both of them could be a unit circle. He's positive that it's possible, but I'm not convinced, knowing that parabolas increase at different rates at different times, and a unit circle, being a constant shape and having a constant diameter, could not effectively be placed in between them for infinity. Any ideas? (And if you need clarifications, just ask. It seems a bit confusing, and I'm not in the state of mind right now to fix it.. Sorry! )
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Not sure if this belongs in the maths forum, so one of the mods will have to clean up after me if it doesn't. On another forum I'm involved with a discussion of random functions. One poster is arguing that if you take any random process or function and add it to a non-random process or function, that your end result is still random. Is this true? If not, can it be shown in some sort of proof that this is not the case?
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Im pretty certin its was a japanese mathmetician, formed an equation that works, knowone knows why it works so well, its a bit of an unsolved problem.. The back story: Reading on wikipedia a few years ago, I think I was reading on unsolved problems, ive been back there since and cant seem to find it... As many will find out, im into the big picture, not so great at specifics.
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Just a very wild idea. It starts by defining a "point" as being a Plank length (there is some logic behind this idea) and then using this measur the circumference and to calculate pi by dividing the circle into triangles with the plank length on the circumference. A circle with a radius of one plank length has a pi = 3.0. Pi increases as the radius grows –but will it end with a rational number?
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Can somebody please explain to me why zero violates common sense? Every other number including infinity, divided by itself equals one, so why doesn't the same apply to zero as well? After all, since there are numbers which are less than zero, zero itself is logically a number too, and zero does go into itself once. It just seems totally counter-intuitive that 0/0 doesn't equal one. And while we're talking about counter-intuitive math, can someone also explain why a negative times a negative equals a positive, even though a positive times a positive doesn't equal a negative. Please don't use fancy terms that none but a math major could understand.
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Reputation Points
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Is it just me or do you sometimes find solving equations simpler when you think of things like this where, a = b + c - 2c becomes (mentally even if you don't write it like this) +a = +b +c -2c so everything is signed and any existing signs become attached to the symbols on there right? I say sometimes as mostly I don't find this necessary however when I can't work out what is going on specifically with an equation with lots of negatives in I find it a useful way of thinking about the equation. Each bit then becomes septate and can be thought about more easily. example 1: b + c - 2c parts: +b +c -2c simplified: b - c example 2…
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I just can't see this rearrangment, could someone please explain it? Thanks F - Tcosx = 0 B - Wsinx = 0 all that boils down to tanX = B - W/F I understand that cosX/sinX = tanX but it's the other bits I can't work out.
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If you're given an average value and the sample size can you determine from those values what the maximum & minimum values were that gave the average value? Thanks
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A (formal) polynomial [math]P(x) = a_{n}x^{n} + \cdots + a_{2}x^{2} + a_{1}x + a_{0}[/math] is said to be of degree [math]n[/math]. Does anyone know if there is any standard language that describes a polynomial that is strictly of the form [math]P(x) = a_{n}x^{n}[/math]? (One way to do this would be to introduce a filtration and then a grading, but I wanted to avoid doing so if some common language already exists.) Is the word "homogeneous" use commonly for this. (I have seen it used for similar ideas). Thanks
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The purpose of this thread is to explain the basic logic of how a formula comes to be, and to explain where do Constantes come from. Please forgive my English Simple to understand, the steps are in order _________________________________________________ Part [math]\alpha[/math]: Let us take a simple problem "In a factory, 2 workers working 6 hours, 5 days a week, produce 100." Now let us think, the more workers we have the more blocks we produce so the number of workers is directly proportianal to the number of blocks produced. Also, the more hours they work, the more blocks they will produce. So the number of hours is also directly proportional to the…
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I know the following involves common factors but I just cannot see how the 1appears in the second equation could some kind soul add an explanation? = mg + m v^2/r .................(1) ??????????? = mg (1 + v^2/rg) ................(2) It's what happens between (1) & (2) that's bugging me. Maths was so long ago!!! Thanks
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When algebraic maths and programming code are written as examples they look very similar and confusing one for the other leads to all sorts of confusion. In programming symbols may be multiple letters long aa = ab + ghp This does not mean [math]a^2 = a*b + g*h*p[/math] but instead could be written in algebra as a = b + g In OO (object oriented) programming most of the program concerns object. An example of an object could be a "dog". If I want my dog to bark for a set length of time at a set frequency I could use the code as follows. dog.bark(4, 2) In this line there are 3 symbols, one of which is an object called "dog", the other two a…
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In wikipedia http://en.wikipedia.org/wiki/Algebra In algebra www.algebra.com In google http://books.google.co.in/books?hl=en&id=FJmiSW1KRBAC&dq=algebra&printsec=frontcover&source=web&ots=k1a6i_JdeY&sig=ImQYTeBP75MH6fmV-lBuGVdZA4Y&sa=X&oi=book_result&resnum=3&ct=result#PPA214,M1 in google www.algebrahelp.com applets in linear algebra www.mathresource.iitb.ac.in/linear%20algebra/appletsla.html In google http://books.google.co.in/books?hl=en&id=XDN8yR8R1OUC&dq=algebra&printsec=frontcover&source=web&ots=fodeL0CGFQ&sig=ehGSN1nVi-ifbk9gGznHqjpX1hY&sa=X&oi=book…
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Hello! I'm a web programmer and have been commissioned to develop a simple site that accepts a 'ticket number' and then tells the visitor instantly whether they have won a prize or not. What seemed originally like a simple problem has, under further thought, proven to be nothing of the sort and I need expert help. The problem is largely that of ensuring that the prize allocation is fair, logical, and evenly distributed. This aim is complicated by the following factors: The competition is based upon physically received leaflets following a visit to a store. The competition will run for three months or thereabouts. The number of prizes is very small in comparison …
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how do i work out the area of a circle without a calculator? thanx
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Here is a question for everyone: Imagine a circle with line AB tangent to it and line AC being a cord of it. AC and AB form angle BAC with has a measure of 20 degrees. If arc AC is 2 units long what is the radius of the circle? This is not a homework problem simple something I came across. Sorry my diagram is not the best. [ATTACH]1878[/ATTACH]
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Can somebody describe BINOMIAL THEOREM in a effective way....ABout the its "general term", "middle term" ...........thanks to anyone who will describe it
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5 km/h*sec -Is how my textbook gives equation for acceleration which confuses me because the way I understand, it should be: 5 km/h/sec the textbook equation would read - five kilometers per hour each second while mine would read - five kilometer per hour per second Is there any difference between them that I am missing, and do you think my professor would take points off if i do it later way? I am in a course where I teach myself and turn my work in, and semester has not even began yet so i can't ask directly and this is just a litlle thing that wont leave my mind
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Density is 10.34 Flow is 1844 Nm3/h… Anyone know how to convert to Kg/h?
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Is it at all possible to have the number 0.0(reoccuring)1? or for that matter any other number at the end? my idea is that the number is 0.0 with an uneding string of 0s on the end, but if it did have an end, it would end in 1. Is this possible?
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Question 1: If, for example, I have a sequence n=1,2,3, 5.... and I have to divide this sequence by 2, that is n/2=0.5, 1, 1.5, 2, 2.5...., but in my next formula I have to use only whole parts of the results: n/2(whole)= 0, 1, 1, 2, 2,... Is there a mathematical symbol for such expression ? I tried few web sites, including the Wikipedia, but was not able to find one. Question 2: Is there mathematical symbol for rounded numbers? Please, help !
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