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You are not logged in. #1 20060228 10:06:59
Equation of a Straight LineWould just like to point out that in Denmark we use y=ax+b #2 20060228 10:30:02
Re: Equation of a Straight LineIn Virginia, we use: Where p is a prime number. Last edited by Ricky (20060301 08:05:17) "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20060228 10:41:29
Re: Equation of a Straight LineHa ha! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20060228 18:13:04
Re: Equation of a Straight LineCool, ricky where did you get this? IPBLE: Increasing Performance By Lowering Expectations. #5 20060301 08:04:48
Re: Equation of a Straight LineI made it. Just simpily and you should get: "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #6 20060301 10:03:29
Re: Equation of a Straight Linehehe, ricky  The reason I wrote this, was because of the request at the bottom of this page http://www.mathsisfun.com/equation_of_line.html #7 20060301 10:25:06
Re: Equation of a Straight LineAh, ok, didn't know about that Patrick. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #8 20060301 18:57:42
Re: Equation of a Straight LineYa, now when i"m looking this MONSTER equation it looks loke very simple. IPBLE: Increasing Performance By Lowering Expectations. #9 20060301 20:31:46
Re: Equation of a Straight Line
Do you think it will fit? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #10 20060302 16:38:57
Re: Equation of a Straight LineIf it don't you can simplify it.... IPBLE: Increasing Performance By Lowering Expectations. #12 20060806 08:31:00
Re: Equation of a Straight LineI've never heard of any of the equations in this thread. In my studies I have always used where ζ is Riemann's zeta function, Γ(x) is the gamma function, ∇ is the del operator, L^{1} denotes the inverse Laplace transform, T_{n} is the nth Chebyshev polynomial of the first kind, C is a simple closed curve bounding a region having z = a as an interior point, σ_{0}^{m} is a simplex of an oriented simplicial complex and [σ^{m}, σ^{m  1}] is an incidence number, S is a compact, orientable, differentiable kdimensional manifold with boundary in E^{n} and ω is a (k  1)form in E^{n}, defined, and C^{1} at all points of S, and η(x) is Dirichlet's eta function. (Sorry for stealing your joke, Ricky. ) Last edited by Zhylliolom (20060807 12:11:03) #13 20060806 08:40:14
Re: Equation of a Straight LineHa! That's only the simplified version! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #14 20060806 10:11:58
Re: Equation of a Straight Line
That should read: "Sorry for taking your joke too far." "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #15 20060806 10:28:54
Re: Equation of a Straight LineMaking sure everything checks out would be a good exercise. After solving it, you'll realize that I made it rather simple... I should have made things crazier. Here are some things you can look into if you really want to see how it simplifies and get stuck: Elliptic integrals, obscure trigonometric identities, the Bromwich integral, obscure(and maybe somewhat nonobscure) infinite sums and products, definitions of obscure constants, contour integrals, simplicial homology theory, differential geometry, and integration of differential forms, just to name a few topics. #16 20060807 03:16:24
Re: Equation of a Straight Linein england, we tend to use y = mx + c The Beginning Of All Things To End. The End Of All Things To Come. #17 20060807 11:01:23
Re: Equation of a Straight Lineis C², right Zylliolom? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #18 20060807 11:19:22
Re: Equation of a Straight LineIsn't that supposed to be: No? Assumming it is, I got: "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #19 20060807 11:23:05
Re: Equation of a Straight LineNo, A is an arbitrary vector. Just think about what the divergence of the curl is. I posted the formula for it in the Vector Formulas thread, but it should only take a moment to calculate it yourself. #20 20060807 11:25:54
Re: Equation of a Straight LineMy book has that the divergence of a cur1 for any C^2 vector field F is 0... are you saying that C^2 is not needed? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #22 20060807 11:30:15
Re: Equation of a Straight LineIf anyone wants to jump in here and help me out (besides Zhylliolom), feel free. Of course, correct me if you see any mistakes. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #23 20060807 11:40:28
Re: Equation of a Straight LineWow, I don't know why I thought you meant C^{2} (as in some quantity or some vector) instead of C^{2}. #24 20060807 12:14:01
Re: Equation of a Straight LineCool integral. Is there a special name for it? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #25 20060807 12:27:52
Re: Equation of a Straight LineIt's a special case of the polylogarithm known as the dilogarithm, this specific case is Li_{2}(1). Note that Li_{s}(1) = ζ(s). Last edited by Zhylliolom (20060807 13:08:59) 