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.
- 516 posts
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Home to threads on more applied (but non-physical/mechanical) threads; e.g. applied group theory or statisics.
- 464 posts
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Ground-up mathematical tutorials.
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2392 topics in this forum
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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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The problem is to convert 3m/s^2 to km/h^2. How do you do that again?
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Reputation Points
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Nope, not another boring, theological quest to find the value of 0/0, but in fact to disprove its existence... The simple proof that 0/0 doesn't equal any positive, negative, or imaginary number, then for example: 0/0=1, then 0/0(2)=1(2), making 1=2, if 0/0=2, we substitute 1 for 0/0. Now 0/0=0, this doesn't hold, so 0/0 might as well equal 0, nobody knows. This can be proven to not be able to be disproven by: a = b a^2 = b^2 a^2 - b^2 = ab - b^2 (a+b)(a-b) = b(a-b) a+b=b b+b=b 2b=b 2=1; This would be true that 0/0 cannot equal 0, but on line 5, a+b=b, we can subtract each side to get that a=0, in which case nothing can be proven for 2=1 …
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Reputation Points
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As we all know that multiplication of a number by zero results in zero. What happens if zero is multiplied by infinity
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Reputation Points
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Is it possible to do the inverse Laplace Transform of a constant? I ask because I have a differential equation which I transformed, solved and now need to find the invers of. Unfortunatly my answer has a constant, and I don't know what to do about it!!! Thanks!
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Reputation Points
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is the numbers between 0 and 1 infinite?
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Does anybody have any good maths websites? Any kind would be fine, thanks
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Reputation Points
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Its that time of year again, wasnt sure whether to put this in maths or in challanges, never mind. Have a go see what you think, mabye a new pair of jogging bottoms for the brain eh? Ill put my solution up in a week or so, with the answers. 1.A churchwarden lives lives on a farm which is 200 meters from the nearest point, Pm on a straight road. 800m from P along the road is a chruch. The church warden can walk at 6kmh-1 over his farm and at 10kmh-1 along the road. What distance from P must he aim to meet the road in order to reach the church as quickly as possible? 2.The verger has 9 pieces of chain; -0-, -0-0, -0-0-, -0-0-, -0-0-0, -0-0-0, -0-0-0. -0-0-0-, …
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Reputation Points
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I read a book about Numerical Methods and I found that it is very interesting. Why does numerical method always be taught with engineering? I think it is quite useful in normal life.
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Reputation Points
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gonna take a class next semester on toplogy and i was wondering what it was. The course description was...less than descripted, damn mathmeticians
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Reputation Points
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Hey guys Im pretty much stuck on this problem and really need some help it may seem easy to most of you but I am finding it difficult Here is the question.... c) An annealed 50mm x 50mm square cross section 30%Zn/Cu brass bar is drawn by several cold working steps to a final Square cross section of 20mm x 20mm. The final cold worked bar must have Tensile strength grater than 360mpa Yield stength greater that 300mpa And Elongation (ductility) Greater than 15% Refer to Diagram below Describe the steps involved including the % cold work in each step & intermediate thicknesses required if a maximim of 70% cold work is allowed at each work step. …
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Are there any advanced math programs on the web?
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Reputation Points
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This was one of my questions from my assingment. pretty nifty.. also wanna see if my answer is consistent with yours. In a circle radius a and centre O, a chord PQ is drawn. Suppose that the direction of the chord is chosen at random, that is, the angle [math]\theta[/math] between PQ and the tangent to the circle at P is chosen at random with a uniform distribution over the interval[math][0,\frac{\pi}{2}][/math]. Let the random variable Z denote the area of the traingle POQ. Derive the probability density function of Z good luck
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Reputation Points
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Basically is there a caclulator that displays infinity AS infinity (apart from than calc on the comp which does). Also how do you make excel display more than 15 DP, it will do however after that unless it is reoccuring it gives 0s afterwards.
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Reputation Points
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Hi people, During the last 20 years I developed a new Mathematical theory, which is based on what I call: an included-middle reasoning. Included-middle reasoning is: The Art of interactions between independent opposites in non-destructive ways. If we compare between the excluded-middle reasoning (which is the standard reasoning that standing in the basis of the standard language of mathematics) and Included-middle reasoning, we can find these major differences: In an excluded-middle reasoning, two opposites are simultaneously contradicting each other, and the result is no-middle(=excluded-middle reasoning). In an included-middle reasoning, two opp…
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Hi guys. ===================================================================== Can you help me with these problems in combinations.I dont know if my solutions are correct. ===================================================================== Problem 1 ========= There are 3 classes,each one with n students.We must select 3 students from the total of 3n students. i)How many are the possible choices? C=combinations The possible choices are: C(n,3)*C(n,0)*C(n,0)*3 + C(n,2)*C(n,1)*C(n,0)*3! + C(n,1)*C(n,1)*C(n,1) ii)How many are the possible choices,if the 3 students belong to the same class? C(n,3)*C(n,0)*C(n,0)*3 iii)How many are the possible choices,i…
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Reputation Points
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Hey, does anyone have any idea how this works? The one big thing to overcome is taking it to an imaginary power. Can anyone explain how that works? And how does an irrational number taken to a power ever make itself rational again? That seems rather counterintuitive.
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Reputation Points
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Can you help please?! I play a fantasy football game, where two variables (age & computer rating – there is a constant of ‘position’) lead a total value of that player. The older you get, the cheaper you the player becomes and the higher the computer rating the player has the more expensive he becomes. Here are some examples: Rating (x) Age (y) Value (z) 69 24 2093 66 23 1540 66 25 1298 66 27 1154 66 31 871 64 30 704 65 25 1125 61 36 0 38 23 12 40 30 0 39 17 44 44 17 109 60 17 1103 There must be some formula involving x and y which equals z, but I can’t for the life of me work it out!? Any help would be greatly appreciated.
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Reputation Points
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how to show this: if f(x) = 2x/(2x-1) then show f(n) + f(n)f(n-1) + f(n)f(n-1)f(n-2) + ... + f(n)f(n-1)f(n-2)...f(1) = 2n . I have tried to use induction , and I can show it. but , I can't show it without using induction. can anyone tell how to show it without using induction? thank you !
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Reputation Points
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For what reason, the induction only can be used to prove natural numbers n(but not negative numbers?)? How to guess the formula of a sum of a sequence of number?
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Reputation Points
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Hi again...This is my last question for today. I know that i send a lot of threads but...i dont have anyone else to help me. Most of the times i dont send any solutions.I try but sometimes i dont understand and so...i dont have something to write.I post frequently because if i dont give a 50% of correct answers i will not have the chance to write in the final exams...its a stupid rule. My last 2 questions for today are. 1.We must prove that if P(A/B)=1 then P(B compl. / A compl.)=1 i wrote a lot of things but ..i didnt prove nothing : ~) 2.A and B are two events with non zero probabilities. I must show (prove) if the following are i)correct,ii)faulse …
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Reputation Points
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Hi guys i know that i post a problem without my own answer but this problem is very difficult for me and i'm very comfused. The exercise says that we must implement the Bayes' Law to solve the exercise.My problem is that i cant distinguish and write down the events ): Problem:In my kitchen i put my 10 forks in the left drawer and my 10 knifes in the right drawer. before my room mate change something: k=knife,f=forks left drawer : (10f,0k) right drawer: (0f,10k)) When my room-mate came he took 2 forks from the left drawer and he put them in the right drawer. after my room mate's alteration: left drawer : (8f,0k) right drawer: (2f,10k) After this action …
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Reputation Points
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Hi...Can you plz check if my proof is correct? Exercise: A1,A2,.....An are independently events. Prove that : P(A1[union]A2[union]...[union]An) = 1-Πi[element-of]I(1-P(Ai)) note for this (Πi[element-of]I(1-P(Ai)) I={1,2,....n) P([intersect]Ai)= Π P(Ai) for 3 events A1,A2,A3 means: P(A1[intersect]A2)=P(A1)*P(A2) P(A2[intersect]A3)=P(A2)*P(A3) P(A2[intersect]A3)=P(A2)*P(A3) P(A1[intersect]A2[intersect]A3)=P(A1)* P(A2) * P(A3) Now my proof: We know that P([intersect]Ai)= Π P(Ai) if A1,A2,...,An are independent then and the complements are independent P([intersect]Ai)complement = Π P(Aicomplement) P([union](Ai compl) ) = Π(1-P(Ai)…
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Reputation Points
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a line of 100 airline passengers is waiting to board a plane. they each hold a ticket to one of the 100 seats on that flight. (for convenience, let's say that the nth passenger in line has a ticket for the seat number n.) unfortunately, the first person in line is crazy, and will ignore the seat number on their ticket, picking a random seat to occupy. all of the other passengers are quite normal, and will go to their proper seat unless it is already occupied. if it is occupied, they will then find a free seat to sit in, at random. what is the probability that the last (100th) person to board the plane will sit in their proper seat (#100)?
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I believe that there should be a standard list of theorems (#1-#144(?). It is very confusing talking to someone with a different textbook, and referring to theorem #1, when yours is something like "all right angles are congruent", and his is, "If a radius is perpendicular to a chord, then it bisects a chord". I propose that a universal set of numbered theorems should be established to reduce confusion and help unify mathmatics. Anyone disagree or, agree?
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Reputation Points
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