#taylorseries — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #taylorseries, aggregated by home.social.
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And yes, I went to her concert and actually wrote that formula down on the notes I had.
#taylorswift #taylorseries #memes #meme #irl -
“How Does A Computer/Calculator Compute Logarithms?”, Zach Artrand (https://zachartrand.github.io/SoME-3-Living/).
Via HN: https://news.ycombinator.com/item?id=40749670 (which provides important addenda)
#Calculator #Mathematics #Maths #Logarithms #TaylorSeries #NumericalMethods #NumericalAnalysis #FastMath
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LAGRANGE-BÜRMANN THEOREM
Have you heard about the Lagrange-Bürmann formula? It gives the Taylor series expansion for the inverse of a function.If \(z=f(\omega)\) with \(f\) analytic at a point \(a\) and \(f(a)\neq0\), then
\[\omega=g(z)=a+\displaystyle\sum_{n=1}^\infty g_n\dfrac{(z-f(a))^n}{n!}\]
\[\text{where }g_n=\displaystyle\lim_{\omega\to a}\left[\dfrac{\mathrm{d}^{n-1}}{d\omega^{n-1}}\left(\dfrac{\omega-a}{f(\omega)-f(a)}\right)^n\right]\]#Lagrange #Burmann #LagrangeBurmannTheorem #TaylorSeries #InverseFunction #Mathematics #Math #Maths
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Doing some preliminary organization work for my #Calculus II class in the Spring. I never heard about this guy, who is claimed to have known #pi to 11 digits and to have forshadowed #TaylorSeries about a a few centuries before #Newton.
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The first thing that happens is a doubling of variables, roughly akin to position variables and first order differentials of position variables. Stuff analogous to #Gradients, #TangentFunctors, #TaylorSeries follows but I haven't got as far as genuine dynamics, more like simple kinematics. At any rate I'll be following your #Tootorial with interest to see what I can see analogy-wise on the lower road I'm pursuing. Regards, Jon
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Implementing the Exponential Function - Ask ordinary software developers how to code an exponential function (that is, ex) and most will t... more: https://hackaday.com/2020/06/29/implementing-the-exponential-function/ #softwarehacks #taylorseries #exponential #math
