Gaurav Tiwari is one of the top Education bloggers online, specializing in exam preparation, online learning and career development. Read these articles to prepare yourself for college and beyond. Plus, learn to earn, save and grow yourself.
Recently commerce & economics courses have seen rapid growths in numbers of both the students and colleges. With more than a hundred types of courses and thousands of colleges, B. COM. and M. COM. may show promising careers. But you must be alert and aware about the commerce college and course you’re going to choose…
We researched, analysed and listed the most useful college databases for Indian students. Some are just database based directories but most of these are multi-dimensional portals with all-at-one-place information. If you are searching for a college, give these a try and believe me you won’t be disappointed.
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!…
Our reader Eswar Chellappa has sent his work on the solution of ‘3X+1’ problem, also called Collatz Conjecture. He had been working on the proof of Collatz Conjecture off and on for almost ten years. The Collatz Conjecture can be quoted as follow: Let $\phi : \mathbb{N} \to \mathbb{N}^+$ be a function defined such that: $$\phi(x):=…
Online communities are groups of web-savvy individuals who share communal interests. A community can be developed with just a single topic or by a bunch of philosophies. A better community binds its members through substantial debates. Mathematics is a very popular communal interest and there are hundreds of online communities formed in both Q&A and…
Are you getting started with Functional Analysis? If you are, you must be looking for some of the most important definitions in Functional Analysis. In this article, I have summarized those. Functional Analysis Functional analysis is the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and…
‘Symmetry’ has a special meaning in physics. A picture is said to be symmetrical if one side is somehow the same as the other side. Precisely, a thing is symmetrical if one can subject it to a certain operation and it appears exactly the same after the operation. For example, if we look at a…
Every person in the world likes to enjoy and leads his/her life happily. There are many ways to enjoy, and the first among them will definitely be a vacation or traveling to the world’s beautiful and historic places to admire the beauty of nature and get away from his daily routines. In this busy life…
It was mid 2012, the first time I installed TeXstudio version 2.3, on my PC. ‘Peaceful‘ was the word I used to describe it then after. TeXstudio has now gradually inched to version 4.5.2 and by time being even more peaceful and wonderful. Wonder why did I call it ‘peaceful’? Writing LaTeX is a real pain, when you are willing to…
How many weeks are left before your final exams? Are you ready to score memorable grades? If not, you may just have to wait another 12 months to re-take exams and no student wants that to happen. GCSE students who fail won’t be able to pursue A-levels, and A-level students who fail (or get low…
In this article, we will explore and define macrostates and microstates in statistical physics with examples and illustrations. Macrostates and Microstates Consider some (4, say) distinguishable particles. If we wish to distribute them into two exactly similar compartments in an open box, then the priori probability for a particle of going into any one of…
This post explains the basic method of converting an integral equation into a corresponding differential equation.
