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‘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 2.12.22 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…
In this article we will define what are Macrostates and Microstates in Statistical Physics with examples and illustrations. 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 the compartments will…
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.
A-level exams cannot be avoided by avid students with ages between 16 and 18 looking to go to college. These tests are extremely important and the marks obtained will most likely be your ticket to entering a good university. Getting ready for A-level exams means more than just reading notes and hoping for positive results;…
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…
Square Integrable function or quadratically integrable function $\mathfrak{L}_2$ function A function $y(x)$ is said to be square integrable or $\mathfrak{L}_2$ function on the interval $(a,b)$ if $$\displaystyle {\int_a^b} {|y(x)|}^2 dx <\infty$$ or $$\displaystyle {\int_a^b} y(x) \bar{y}(x) dx <\infty$$. For further reading, I suggest this Wikipedia page. $y(x)$ is then also called ‘regular function’. The kernel…
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…
