Oscar Nieves·Jul 18, 2023Why even solvable problems are often unsolvableSolvability is a very interesting concept in mathematics by which one can determine, using sophisticated methods of proof and analysis…A response icon3A response icon3
Oscar Nieves·Mar 29, 2023Solving an integral equation with a simple trickIn a paper published in 2011 by Waldemar Klobus (Motion on a vertical loop with friction) an interesting integral equation (more precisely…
Oscar Nieves·Mar 26, 2023Solving difficult integrals with substitutionIntegration by substitution is a very powerful tool for evaluating integrals where the answer may not seem as obvious at first, but under…A response icon1A response icon1
InCantor’s ParadisebyOscar Nieves·Mar 23, 2023Cauchy’s integral formulaIn my previous article (Contour integrals — a simple introduction) I discussed how to perform integrals of complex-valued functions in the…
Oscar Nieves·Mar 23, 2023Contour integrals — a simple introductionWhen dealing with functions of complex variables, such as f(z) where z = x + iy, their integration with respect to z must be done in a…A response icon3A response icon3
Oscar Nieves·Feb 19, 2023Numba: Python’s lord and saviorWhen it comes to high performance computing (HPC), people often think of programming languages like C/C++ or Fortran, especially in the…A response icon3A response icon3
Oscar Nieves·Jan 30, 2023Differentiating inverse functionsFunctions such as arcsin(x), arccos(x), arctan(x), etc. are considered to be inverse functions of sin(x), cos(x) and tan(x) respectively…
Oscar Nieves·Jan 30, 2023Implicit differentiation in a nutshellWhat is implicit differentiation? When we are dealing with derivatives of functions in calculus, we often encounter functions such as y =…A response icon1A response icon1
Oscar Nieves·Jan 19, 2023Bivariate nonlinear regression using PythonIn my previous article: https://oscarnieves100.medium.com/univariate-nonlinear-regression-in-python-deb91d1085cd, I discussed how to do…
