Author name: tirta

The Borel-Cantelli Lemma, formulated by Émile Borel and Francesco Paolo Cantelli, is a foundational principle in probability theory that deals […]

Almost sure convergence, also known as strong convergence, occurs when a sequence of random variables converges to a fixed value

Convergence in measure, a weaker form of convergence than convergence almost everywhere, implies convergence almost everywhere under certain conditions. Specifically,

A Borel simple function is a function from a measure space to the real numbers that takes only a finite

The Heine-Borel Theorem establishes that in a metric space, every open cover has a finite subcover. This means that for

Convergence by measure is a mathematical concept that describes the convergence of functions as their measures approach zero. It has

Taylor table finite difference method employs the Taylor series expansion to approximate differential equations at discrete points. By representing the

The power series method is a technique for solving differential equations by representing the solution as an infinite series of

The Taylor expansion of the exponential function is a powerful mathematical tool that allows us to approximate the exponential function

The cosine power series is a Taylor series expansion of the cosine function, representing it as an infinite sum of

Exponential power series involve representing exponential functions as infinite sums of powers of x. These series allow for accurate approximations

Taylor expansion is a technique that allows us to approximate functions using polynomials. It is based on the idea that