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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…
For a mathematics website or blog, the very first requirement is nothing but excellent readability. The reader must be focused on the content all the time she spends on your site. Any extra gimmicks will lose her trust in your site. After being inspired by the designs of the best mathematics and science blogs, we…
Here’s a concept that confused me for months in statistical physics: the difference between macrostates and microstates. Textbooks make it sound complicated. It’s not. Once you see a concrete example, everything clicks. Let me show you exactly how it works. The Setup: Four Particles, Two Boxes Imagine you have four distinguishable particles. Call them \(…
If you are starting a blog then WordPress can be an exciting platform because it’s free, user-friendly and has a variety of plugins that give you many options. It is also known to be a powerful content management system, which is an added advantage. Moreover business owners and individuals alike can benefit from it because…
This post explains the basic method of converting an integral equation into a corresponding differential equation.
If you’re a 16-year-old student preparing for any exam, you must know one thing – your brain needs special treatment. We have the power to understand so many things about our memory’s structure, which is why it’s our duty to find the best training strategies for the brain and prepare it for intensive testing. The…
In this article, I will teach you about Square Integrable Functions, Norms and the solution of Integral Equations by the trial method. Don’t forget to refer: Definitions and Types of Integral Equations Square Integrable function or quadratically integrable function \( \mathfrak{L}_2 \) function A function \( y(x) \) is said to be square integrable or…
It is so fun and enjoyable to travel through rail routes. Most people love to travel by rails instead of preferring to travel by car. Traveling by rail is a good experience along with watching the beauty of nature and different sceneries when you travel long distances. Many people believe that it is safe to…
In this article, I will explain what Integral Equations are, how they 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)…
Every student or graduate knows how hard the first experience of passing exams is. Preliminary preparation starves the nervous system and the physical condition of the human body, however, the exam itself is always a stressful situation, which requires a candidate a great manifestation of mental and physical abilities. Therefore, just the knowledge of a…
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…
