A Google Notebook on Harmonic Primality

So Google Notebook is an amazing product!!! Kudos to them!!! Please try it out...




 

Popular posts from this blog

Sir Isaac

Image
Introduction Sir Isaac Newton is remembered as one of history’s greatest scientists and mathematicians, but less known is the profound influence of his religious beliefs on his work. Newton was a deeply spiritual thinker who wrote extensively on theology – in fact, his private theological writings (largely unpublished in his lifetime) likely exceeded his scientific output in volume. He believed in a universe created and ordered by God, and this faith fundamentally shaped how he approached the study of nature. In particular, Newton’s magnum opus Philosophiæ Naturalis Principia Mathematica (“Mathematical Principles of Natural Philosophy,” 1687) contains subtle yet significant theological themes. This report explores how Newton’s views on God, creation, and scripture intertwined with his mathematics and physics. It examines Newton’s theology (such as his unorthodox Arian beliefs), his idea of mathematics as a divine language, the religious motifs in the Principia , differences between...
Read more

The Passion of Isaac: Becoming Sir Isaac Newton

Image
Isaac Newton’s Hidden Work and Intellectual Evolution Introduction Sir Isaac Newton’s genius extended far beyond his published works in physics and mathematics. In private, Newton developed a trove of mathematical innovations and engaged in intense theological and alchemical studies that he deliberately kept from public view. Understanding Newton’s unpublished mathematical work alongside his psychological influences and mystical pursuits reveals a more complete picture of how his ideas evolved. This report examines Newton’s secret equations and manuscripts, the personal experiences and anxieties that shaped his intellectual life, the interplay of his scientific ideas with his theology and alchemy, and a timeline mapping the development of his thought. In doing so, we contextualize Newton’s hidden work within the rich psychological and historical backdrop of his life, drawing on his private notebooks, correspondence, and modern scholarly analysis. Synthesis of Newton’s Unpublish...
Read more

AC/DC Conversion Without Diodes

Image
Introduction: Rethinking AC/DC Conversion Without Diodes Traditional AC/DC converters rely on diode bridges to rectify AC into DC, but diodes inevitably introduce a forward voltage drop (typically ~0.7 V for silicon or ~0.2–0.5 V for Schottky devices). This causes power loss as heat and limits efficiency. In high-current or low-voltage applications, the diode losses become significant – for example, a standard bridge rectifier can consume 2–3% of output power at low AC line voltages ( A comparative analysis of topologies for a bridgeless-boost PFC circuit ). To achieve near-lossless rectification, engineers are exploring alternatives that eliminate or drastically reduce these forward-drop losses. Modern approaches replace passive diodes with active switching devices (like MOSFETs or other semiconductors) and clever circuit topologies to allow current flow in one direction with minimal resistance. In this answer, we’ll explore several such methods – from synchronous rectifier circui...
Read more