Oscar NievesWhy 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…Jul 18, 20233Jul 18, 20233

Oscar NievesSolving 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…Mar 29, 2023Mar 29, 2023

Oscar NievesSolving 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…Mar 26, 20231Mar 26, 20231

Oscar NievesinCantor’s ParadiseCauchy’s integral formulaIn my previous article (Contour integrals — a simple introduction) I discussed how to perform integrals of complex-valued functions in the…Mar 23, 2023Mar 23, 2023

Oscar NievesContour 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…Mar 23, 20233Mar 23, 20233

Oscar NievesNumba: 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…Feb 19, 20232Feb 19, 20232

Oscar NievesDifferentiating 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…Jan 30, 2023Jan 30, 2023

Oscar NievesImplicit differentiation in a nutshellWhat is implicit differentiation? When we are dealing with derivatives of functions in calculus, we often encounter functions such as y =…Jan 30, 20231Jan 30, 20231

Oscar NievesEssential math for quantum mechanicsAll the things you need to know.Jan 19, 2023Jan 19, 2023

Oscar NievesBivariate nonlinear regression using PythonIn my previous article: https://oscarnieves100.medium.com/univariate-nonlinear-regression-in-python-deb91d1085cd, I discussed how to do…Jan 19, 2023Jan 19, 2023