# Math

The Math Blog by Gaurav Tiwari. Contains articles, study notes, book suggestions and career advises in addition to how-to guides, tutorials and much more.

## This Prime Generating Product generates successive prime factors

Any integer greater than 1 is called a prime number if and only if its positive factors are 1 and the number p itself. The basic ideology involved in this post is flawed and the post has now been moved to Archives. Prime Generating Formulas We all know how hard it is to predict a formula for prime numbers!…

In this article I will explain what are Integral Equations, how those are structured and what are certain types of Integral Equations. What is an Integral Equation? An integral equation is an equation in which an unknown function appears under one or more integration signs. Any integral calculus statement like — $y= \int_a^b \phi(x)… ## Complete Elementary Analysis of Nested radicals This is a continuation of the series of summer projects sponsored by department of science and technology, government of India. In this project work, I have worked to collect and expand what Ramanujan did with Nested Radicals and summarized all important facts into the one article. In the article, there are formulas, formulas and only… ## Hopalong Orbits Visualizer: Stunning WebGL Experiment Just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s three.js project. Hop to the source website using your desktop browser (with WebGl and Javascript support) and enjoy the magic. PS: Hopalong Attractor Algorithm Hopalong Attractor predicts the locus of points… ## Real Sequences Sequence of real numbers A sequence of real numbers (or a real sequence) is defined as a function$ f: \mathbb{N} \to \mathbb{R}$, where$ \mathbb{N}$is the set of natural numbers and$ \mathbb{R}$is the set of real numbers. Thus,$ f(n)=r_n, \ n \in \mathbb{N}, \ r_n \in \mathbb{R}\$ is a…

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