I'm using the Taylors series to calculate the cos of a number, with small numbers the function returns accurate results for example cos(5) gives 0.28366218546322663. But with larger numbers it retu...

I have numpy array and I want to use power series like taylor series of e^x, and I am wondering how to implement this in python. For the simplicity purpose, I think I can use maclaurin series at x0...

I need to non-linearly expand on each pixel value from 1 dim pixel vector with taylor series expansion of specific non-linear function (e^x or log(x) or log(1+e^x)), but my current implementation i...

I am trying to implement expandable CNN by using maclaurin series. The basic idea is the first input node can be decomposed into multiple nodes with different orders and coefficients. Decomposing s...

I have an expression like this which is entered into Sympy like this (for the sake of a reproducible example in this question) from sympy import * expression = Add(Mul(Integer(-1), Float('0.992...

I need to code function in C++ which efficiently finds coefficients of Taylor Series of given rational function (P(x) / Q(x)). Function parameters will be power of polynomials (equal in nominator ...

Background: I'm writing some geometry software in Java. I need the precision offered by Java's BigDecimal class. Since BigDecimal doesn't have support for trig functions, I thought I'd take a look ...

I'm trying to build a simple sine function using taylor series expansion that can be evaluated at compile time using C++14 constexpr. My code is compiling, but the compiler doesn't generate a const...

I need to write my own asin() function without math.h library with the use of Taylor series. It works fine for numbers between <-0.98;0.98> but when I am close to limits it stops with 1604 itera...

Mathematica seems to be missing a function for this, or I can't find it anyway. The Series function can do expansion in succession for multiple variables, but it doesn't seem capable of doing a fu...

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 ...