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#quadratic — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #quadratic, aggregated by home.social.

  1. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  2. Finally the most sophisticated of the three is Simpson’s rule in which pairs of adjacent strips use a #quadratic #parabola to interpolate between the ordinates. This even better at convergence than the trapezium rule. I’ve shown a different function here because for the function shown above the difference between the approximation and the numerical #approximation is not discernible.

    #MyWork #Mathematics #Maths #Numerics #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia

  3. I was explaining to my wife yesterday how #DifferentialCalculus gives us a way to find the #gradient of a #function at any point and to illustrate it I wrote a short routine in #Maxima to draw the #tangent to any point on a graph of a function. Here we see the example for the #quadratic and #reciprocal functions, x^2 and 1/x i.e. a #parabola and a #hyperbola respectively.

    #MyWork #Gif #AnimatedGif #CCBYSA #WxMaxima #Mathematics #Maths #Calculus #Differentiation