Who doesn’t like a fast loading website/blog under his name? But to attain a beautiful yet fast loading webpage is one of the toughest tasks of web development. It costs great effort and money. You buy overpriced web-hosting plans hoping to get a speedy website, but still you feel something is wrong. Your website doesn’t load as fast as it was expected. Slow page load ultimately results in loss
2014 was an amazing year for me. Things didn’t went that wrong, like they did in 2013 and year before that. Both my online and offline lives went smooth. This post is a summary of things I did/learned in 2014. It has primarily a personal approach and doesn’t intend to force any show-off to readers. 2013 : Learning with troubles 2013 had ended up with a disturbing half when
This post explains the basic method of converting an integral equation into a corresponding differential equation.
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) dx$ can be considered as an integral equation. If you noticed
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 subject is not enough for the exam. The examinee needs to
About This post is actually a summary of a research project I took under INSPIRE-SHE Scholarship Program by 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 the ease of understanding is focused on A-level (10+2) students and beyond. Abstract
An old yet beautiful untabled listing of highly interactive mathematics related articles and papers available online.
Applied mathematics is one which is used in day-to-day life, in solving troubles (problems) or in business purposes. Let me write an example: George had some money. He gave 14 Dollars to Matthew. Now he has 27 dollars. How much money had he? If you are familiar with day-to-day calculations – you must say that George had 41 dollars, and since he had 41, gave 14
Part I: A fox chases a rabbit. Both run at the same speed $ v$ . At all times, the fox runs directly toward the instantaneous position of the rabbit , and the rabbit runs at an angle $ \alpha $ relative to the direction directly away from the fox. The initial separation between the fox and the rabbit is $ l$ . When and where
Problem solving is more than just finding answers. Learning how to solve problems in mathematics is simply to know what to look for. Mathematics problems often require established procedures. To become a problem solver, one must know What, When and How to apply them. To identify procedures, you have to be familiar with the different problem situations. You must also be good at gathering information, extracting