Gravitation is ubiquitous. Its presence is felt at any place. Isolation doesn’t exist in the universe; everything is connected to everything else. A thrown-up apple attracts our planet whereas our planet attracts the apple. Doesn’t it sound great? How cool is that? Whatever you hold in your hand has enough power for moving the Earth. […]
Discrete Mathematics How Many Distances Must Be Made from N Points? My most striking contribution to geometry is, no doubt, my problem on the number of distinct distances. This can be found in many of my papers on combinatorial and geometric problems. -Paul Erdős, On Some of My Favorite Theorems, 1996. Erdős is one of the greatest […]
The most widely adopted temperature scale is the Celsius or centigrade scale. Nowadays, we use these terms as synonyms, but, in fact, they were not such, originally. The Celsius temperature scale was invented by Anders Celsius that, in 1742, proposed its use by publishing “Observationer om twänne beständiga grader på en thermometer” (Observations of two constant gradations on a […]
It is so famous and well-known, that I feel adding any praise to it would only decrease its value 🙂 It is often cited as one of the most beautiful equations ever, by maths funs and others as well. But few people understand it. Be honest: do you really know what it means? In this […]
Newton The Genius of Isaac Newton A Modern Derivation of Newton’s Revolutionary Proof of the Inverse-Square Law Physics Inverse-Square Law of Gravitation: The Role of the Apple and the Moon How Newton confirmed the inverse-square law Newton What Did Newton Do with his Time During Quarantine? Newton’s Notes on Calculus During the Great Plague of […]
Humans like looking for patterns, be it shapes in the clouds or relationships among numbers. We are probably evolved to do so for survival, and just can’t help. In science, pattern recognition helps researcher to tell the shape of galaxiesor to identify the decay of short-lived fundamental particles such as top quarks. Especially in physics, scientists have been scratching their […]
This subject is one of the most intriguing and mind-blowing in all of mathematics. A lot of ground is uncovered in this area and despite intensive research, we have still a lot to learn and a long way to go. Let’s warm up by thinking about the number line. The Number Line The numbers as […]
In theoretical physics, the Lorentz factor is a term by which relativistic mass, time, and length changes for an object in motion. It is named after the 1902 Nobel Laureate Dutch physicist Hendrik Antoon Lorentz, who together with Pieter Zeeman discovered and theoretically explained the Zeeman effect. Lorentz also derived the transformation equations that would end-up playing […]
A conservation law says that some property of an isolated system does not change as the system evolves. As a consequence of Noether’s theorem, which will be the central topic of this article, conservation laws “are associated with symmetries in the underlying physics” (see this link). In other words, symmetries and conservation laws are deeply interconnected. Quoting the great theoretical physicist […]
This article provides general information about disease modeling. It does not include details specific to COVID-19. “For God and Country!” has become passée. The new battle cry is “Flatten the curve!” We math nerds are clutching our pocket protectors in anticipation. These are words we can get behind. So, what do they mean? The “curve” […]
I know I said, I would like to conclude the topic of Formal Logic in Mathematics — despite there remaining a lot to be said. Turns out that there not only remains a lot of very interesting things to be said. But also, that if we let ourselves in on this angle of looking at […]
Geometry Horrocks’ Measurements of How Far Away The Sun Is Understanding the sun-to-planets absolute distances was a long-run investigation proceeding with new scientific-tools and new laws. As a police case requires time and symmetry of action that concatenates all threads within one bracket, space exploration is alike. At the time of Venus transit in 1761, […]
This story is also available on Kindle! You remember prime numbers, right? Those numbers you can’t divide into other numbers, except when you divide them by themselves or 1?Right. Here is a 3000 year old question: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, p. What is p? 31. What is the next p? It’s 37. The p after that? 41. And then? 43. How, but… …how do you […]
Thermodynamics It Took Me 10 Years to Understand Entropy, Here is What I Learned. From the Big bang to the Heat death of the universe Relativity Deriving Einstein’s Gravity Equations From Thermodynamics Is Gravity Just an Average of the Behavior of Unknown “Atoms” of Spacetime? Thermodynamics Temperature Scales The most widely adopted temperature scale is […]