Quantum Renormalisation Made Easy
What Is The Issue With Renormalisation If you have an interest in physics you have likely come across renormalisation before, although what it really is would probably have not been explained....
View ArticleWhy Renormalisation in Quantum Theory Needs a Cutoff
Introduction This is a follow on from my paper explaining renormalization. A question was raised – why exactly do we need a cut-off. There is a deep reason to do with dimensional analysis, and the...
View ArticleSome Useful Integrals In Quantum Field Theory
In my paper on renormalisation I mentioned what most who have studied calculations in Quantum Field Theory find, it’s rather complicated and mind-numbing. I am not sure doing these is that illuminating...
View ArticleRecursion in Programming and When to Use or Not to Use It
Recursion is actually quite simple. It’s a subroutine calling itself. It’s surprising but some problems that look quite hard can be trivial using recursion – but be wary – as I hope to explain there...
View ArticleThe LCEVC Coding Standard and 8K Television
Introduction First, for background, here is an overview of the most common video compression standard in use today, H264: https://www.maketecheasier.com/how-video-compression-works/ H265 has improved...
View ArticleWhat Are Infinitesimals – Advanced Version
Introduction When I learned calculus, the intuitive idea of infinitesimal was used. These are real numbers so small that, for all practical purposes (say 1/trillion to the power of a trillion) can be...
View ArticleWhat Are Infinitesimals – Simple Version
Introduction When I learned calculus, the intuitive idea of infinitesimal was used. These are real numbers so small that, for all practical purposes (say 1/trillion to the power of a trillion) can be...
View ArticleWhat Are Numbers?
Introduction When doing mathematics, we usually take for granted what natural numbers, integers, and rationals are. They are pretty intuitive. Going from rational numbers to reals is more...
View ArticleBeginners Guide to Precalculus, Calculus and Infinitesimals
Introduction I am convinced students learn Calculus far too late. In my view, there has never been a good reason for this. In the US, they go through this sequence of Pre-Algebra, Algebra 1,...
View ArticleIntroduction to Digital Audio
Introduction First, we need some background in Digital Signals. This can be mathematically quite advanced, but since I would like this article to be accessible to as wide an audience as possible, here...
View ArticleDigital Filtering and Exact Reconstruction of Digital Audio
Introduction This elaborates some of the claims in my insights article on digital audio. The Sinc Function The first link in my insights article has a section on filters, but I will detail the most...
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