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Digital Filtering and Exact Reconstruction of Digital Audio
/0 Comments/in Technology Guides/by Bill HobbaIntroduction 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 critical case. The bit depth is assumed to be so large for all practical purposes that it is infinite, and…
Introduction to Digital Audio
/0 Comments/in Technology Guides/by Bill HobbaIntroduction 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 is a link that explains what is needed (not even Calculus is required): https://brianmcfee.net/dstbook-site/content/intro.html An important point not emphasised in the above…
Differential Equation Systems and Nature
/12 Comments/in Bio/Chem Articles, Mathematics Articles, Physics Articles/by fresh_42Abstract “Mathematics is the native language of nature.” is a phrase that is often used when it comes to explaining why mathematics is all around in natural sciences, especially in physics. What does that mean? A closer look shows us that it primarily means that we describe nature by differential equations, a lot of differential…
Why ChatGPT Is Not Reliable
/138 Comments/in Computer Science Tutorials, Education Articles, Technology Guides/by PeterDonisI’ll start with the simple fact: ChatGPT is not a reliable answerer of questions. To try to explain why from scratch would be a heavy lift, but fortunately, Stephen Wolfram has already done the heavy lifting for us in his article, “What is ChatGPT Doing… and Why Does It Work?” [1] In a PF thread…
Programming an ATmega8A using Arduino
/2 Comments/in Technology Guides/by Wrichik BasuIf you are interested in programming and electronics, you probably do not need an introduction to Arduino. If you want to make your Arduino projects permanent, then it is a good idea to use solo microcontrollers rather than Arduino boards in the final setup. While Arduino boards are great for prototyping, buying an Arduino board…
P vs. NP and what is a Turing Machine (TM)?
/1 Comment/in Computer Science Tutorials, Mathematics Articles/by fresh_42P or NP This article deals with the complexity of calculations and in particular the meaning of ##P\stackrel{?}{\neq}NP## Before we explain what P and NP actually are, we have to solve a far bigger problem: What is a calculation? And how do we measure its complexity? Many people might answer, that a calculation is an…
Parallel Programming on a CPU with AVX-512
/1 Comment/in Computer Science Tutorials/by Mark44This article is the second of a two-part series that presents two distinctly different approaches to parallel programming. In the two articles, I use different approaches to solve the same problem: finding the best-fitting line (or regression line) for a set of points. The two different approaches to parallel programming presented in this and the…
Parallel Programming on an NVIDIA GPU
/1 Comment/in Computer Science Tutorials/by Mark44This article is the first of a two-part series that presents two distinctly different approaches to parallel programming. In the two articles, I use different approaches to solve the same problem: finding the best-fitting line (or regression line) for a set of points. The two different approaches to parallel programming presented in this and the…
Probabilistic Factors Involved in Disease and Virus Testing
/2 Comments/in Bio/Chem Articles, Mathematics Articles/by PeroKIntroduction This Insight looks at the various probabilistic factors and related terminology involved in disease and virus testing. As we all know, tests are rarely 100% reliable. The frequency of false positives and false negatives, however, not only depend on the tests themselves, but also on the prevalence of the disease or virus within the…