In this study note, I have discussed and explained about real sequences — a very important topic in Real Analysis and Calculus. I will cover the topic, definitions and examples under the following headings: Real Sequence: A sequence of real numbers A sequence of real numbers (or a real sequence) is defined as a function…
Science
About This post is actually a summary of a research project I took under INSPIRE-SHE Scholarship Program by the Dept. of Science and Technology, Govt. of India. My plan was to make the content open-source on the web that faults could be corrected by time. The language is simple and very easy to understand and…
In this note/article, I will discuss what Fermat Numbers are and what some important theorems & examples are associated with them. Definition and Examples Fermat Numbers, a class of numbers, are the integers of the form $ F_n=2^{2^n} +1 \ \ n \ge 0$ . For example: Putting $ n := 0,1,2 \ldots$ in $…
Are you a math major looking for some social networks to join? If you are one, you are at the right place. In this article, I have listed some of the best social networks for math majors that you join. Math or Mathematics is not as difficult as it is thought to be. Mathematical Patterns,…
Memory is the human ability to store, retain, and recall information when needed. Instead of getting lost in technical definitions, let’s explore ten practical methods to enhance your memory: 1. Simple Repetition Method This classical method is widely used for memorizing poems or any text by reading it repeatedly. The more you read, the more…
In this article, we will learn about the Lindemann Theory of Unimolecular Reactions, which is also known as the Lindemann-Hinshelwood mechanism. Understanding Lindemann Theory of Unimolecular Reactions It is easy to understand a bimolecular reaction on the basis of collision theory. When two molecules A and B collide, their relative kinetic energy exceeds the threshold…
Wondering what Cosmic Radiation & Cosmic Ray Showers are and how these are formed? If you are, you are at the perfect place. Cosmic radiation and cosmic ray showers are some of the most intriguing and fascinating phenomena in the universe. While the term “radiation” may have negative connotations, cosmic radiation is a natural occurrence…
This is one of the top mysteries of universe.
Stars The universe is vast and amazing. There are many millions of trillions of stars in the sky, most of them being bigger than our sun. Stars account for 98% of the matter in a galaxy. The rest of 2% consists of interstellar or galactic gas & dust in a very attenuated form. The normal…
The environment is contaminated in numerous ways. Plastic on the land, sewage in the water, carbon in the air. But not every substance is radioactive and not every pollution is radioactive pollution. There is a category of atoms that try to become a stable isotope from its unstable state. This process involves emission of radioactivity.…