My edits to OEIS sequences A001299 and A001300 were recently approved. I added the article “Partitions in Monetary Units” by John Riordan in the references section and I also added formulas from the article. The article can be found in Scripta Mathematica, Vol. 6 (1939), pp. 182-183. The article is also relevant to sequence A187243,… Continue reading OEIS Updates: A001299, A001300 and Old Math References
Omega Constant Infinite Series
Until recently, I had the arrogance to believe that I was the first to obtain an infinite series for the Omega constant ( also known as W(1), where W is the Lambert W function). I obtained the infinite series using Whittaker’s root series formula. You can see more details by reading the page for the… Continue reading Omega Constant Infinite Series
My Video Game Adventures: Erra: Exordium
My madness for Kickstarter started in 2022. One of the earliest projects that I backed on Kickstarter was the campaign for the video game Erra: Exordium by Fair Pixel LLC. I was a higher tier backer, so I had the chance to influence some aspects of the game. This post is about the items and… Continue reading My Video Game Adventures: Erra: Exordium
Ode to e, Exponential Curves, Logarithm and the Slide Rule
Today, while skimming through my Scripta Mathematica volume files, I discovered the poem ” Ode to an Exponential Curve” by Elmer Brill. The poem was published in Issue 2 Volume 6 of Scripta Mathematica (you can download the PDF file containing Volume 6 here). In this post I mainly want to transcribe the poem. Maybe… Continue reading Ode to e, Exponential Curves, Logarithm and the Slide Rule
Claudian Epigram on the Heavenly Sphere of Archimedes
Recently I discovered on Internet Archive Charles Hutton’s “A mathematical and philosophical dictionary”. Hutton’s mathematical dictionary is one of the earliest dictionaries that focused on the mathematical sciences. In this post I just want to transcribe an epigram written by Claudian about a sphere of glass created by Archimedes that showed the motions of the… Continue reading Claudian Epigram on the Heavenly Sphere of Archimedes
My First Large Prime Number
On 24th January 2025 my PC discovered a prime number large enough to be listed on PrimePages. The prime number is 3045 · 22129650 + 1, and you can see more details on this PrimePages link. The number has 641093 digits, so it’s not a megaprime (at least one million decimal digits). When it was added, it had an… Continue reading My First Large Prime Number
Links to the Past: World of IQ
World of IQ was a puzzle website that became defunct around the year 2011. The archived link to the main page of worldofiq.co.cc can be accessed using the Wayback Machine. I briefly mentioned the World of IQ website in my Cerebrals Society post. It was during my early days in US that I participated in… Continue reading Links to the Past: World of IQ
Links to the Past: Cerebrals Society Contests
Vreau astă seară să plătesc Cu amintiri din viața mea. Gheorghe Dinica – Sunt vagabondul vieții mele Cerebrals Society is a defunct high IQ society. I was not a member of the society, but I participated in the contests held by the society in 2009 and 2010. The website of the society is also defunct,… Continue reading Links to the Past: Cerebrals Society Contests
Lill’s Method and the Derivative of tan(θ) and the Powers of tan(θ)
Lill’s method can be used to obtain the derivatives of polynomial equations in a graphical manner. The method to obtain the derivatives is described in the paper “NOTE ON LILL’S METHOD OF SOLUTION OF NUMERICAL EQUATIONS” by B. MEULENBELD. The paper complicates the matter by having Lill representations of polynomials that don’t have perpendicular segments.… Continue reading Lill’s Method and the Derivative of tan(θ) and the Powers of tan(θ)
Quadratics with Complex Roots, Lill’s Circle and the Hyperbola
I already have a few papers that show how Lill’s method can be used to solve quadratic equations. In my paper “Lill’s Method and Graphical Solutions to Quadratic Equations” I showed 2 methods that can solve quadratics with real roots and 1 method for solving quadratics with complex roots. That paper also mentions that the… Continue reading Quadratics with Complex Roots, Lill’s Circle and the Hyperbola