I'm trying to use Taylor series to develop a numerically sound algorithm for solving a function. I've been at it for quite a while, but haven't had any luck yet. I'm not sure what I'm doing wrong. The function is f(x)=1 + x - sin(x)/ln(1+x) x~0 Also: why does loss of precision even occur in this function? when x is close to zero, s...
I am trying to use a Taylor polynomial programmatically in Maple, but the following does not seem to work... T[6]:=taylor(sin(x),x=Pi/4,6);convert(T[6], polynom, x); f:=proc(x) convert(T[6], polynom, x); end proc; f(1); All of the following also do not work: f:=convert(T[6], polynom); f:=convert(T[6], polynom, x); f:=x->convert(T[...
How to implement Taylor series to calculate sine value in assembly using 68hc11. As 68hc11 does not support floating point, display value will be in integer..(e.g. multiply by 100 to make integer value). ...
After painful trial and error, I arrived at a grotesque function that behaves the way I want it to: (exp(- abs(6 * (x - 0.7)) ^ 2.5 ) + exp(- (x-1.7) ^ 8 ) * 1.2)/1.5785 I only care about the values for the range 0 <= x <= 1 and the slope at x = 1. In this interval, 0 <= y <= 1 as well. Are there any free tools (web-based or MAC OS X...
I'm calculating fixedpoint reciprocals in Q22.10 with Goldschmidt division for use in my software rasterizer on ARM. This is done by just setting the numerator to 1, i.e the numerator becomes the scalar on the first iteration. To be honest, I'm kind of following the wikipedia algorithm blindly here. The article says that if the denomina...
I've written a simple graphing implementation in C#, and I can graph things by comparing each pixel to the position on the graph it represents and plugging that position into the function I have to see if it is on the curve. That's all well and good. The problem I'm having is USING a generated taylor polynomial. For example, I am able t...