Published inGraphicmathsComplex natural log functionIn this article, we will look at the natural log function in the complex domain. We will also briefly look at the concept of branches of a…3d agoA response icon23d agoA response icon2
Published inGraphicmathsTangents and normals in polar coordinatesPolar coordinates define points in space in terms of the distance r between the point and the origin, and the angle θ that the point makes…Nov 9A response icon1Nov 9A response icon1
An intuitive explanation of the complex exponential functionIn this article, we will look at the complex exponential function, that is, the exponential function applied to a complex-valued argument…Nov 2A response icon2Nov 2A response icon2
Published inGraphicmathsFinding the normal to a curveWe know how to find the tangent to a curve using differentiation. How can we find the normal to a curve? In this article, we will see how…Oct 24A response icon1Oct 24A response icon1
Published inGraphicmathsDerivative of ln x from first principlesIn this article, we will find the derivative of the natural logarithm function, ln(x). The natural logarithm, of course, is the logarithm…Oct 17A response icon2Oct 17A response icon2
Published inGraphicmathsDerivative of tangent from first principlesIn this article we will find the derivative of the tan function. This can be done using the quotient rule ( this article explains the…Oct 9Oct 9
Published inGraphicmathsWhich is bigger e^pi or pi^e?A famous Olympiad-style question is which is greater, e to the power π, or π to the power e?Oct 2A response icon7Oct 2A response icon7
Published inGraphicmathsThe imaginary error function, erfiThe imaginary error function, erfi(x), is a close relative of the error function, erf(x). It is used for solving certain types of…Sep 25A response icon1Sep 25A response icon1
Published inGraphicmathsThe gamma function — factorials of non-integer numbersThe gamma function, Γ(x), is a special function that has several uses in mathematics, including solving certain types of integration…Sep 15A response icon3Sep 15A response icon3
Published inGraphicmathsThe Gaussian integralThis simple function has some important applications in mathematics:Sep 8A response icon3Sep 8A response icon3