The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress — and also when it did not, because science was being stifled by militarism or religious fanaticism.
Dutch-Swiss mathematician Daniel Bernoulli died #OTD in 1782.
Bernoulli's most famous work is perhaps his application of probability theory to the field of hydrodynamics, particularly in his formulation of what is now known as Bernoulli's principle. This principle describes the relationship between the speed of fluid flow and its pressure, stating that as the speed of a fluid increases, its pressure decreases, & vice versa.
Bernoulli's principle has widespread applications in various fields, including aerodynamics, hydraulics, and the design of aircraft wings, ventilation systems, and even medical devices like Venturi masks.
Apart from his work on fluid dynamics, Daniel Bernoulli also made significant contributions to the fields of probability theory, calculus, and statistics.
It's Pi Day, the day that celebrates π, which, written in decimals, begins 3.14, or March 14. For @TheConversationUS, Daniel Ullman, a professor of mathematics, writes about the silliness of Pi Day, and the universality of π, which, he says "lives not only in this universe but in any conceivable universe. It existed even prior to the Big Bang. It is permanent and unchanging."
To celebrate, let's look back at this 127-year-old bill that was passed in the Indiana House of Representatives which attempted to legislate a wildly incorrect solution to the squaring a circle problem and thereby legalize an incorrect value of π.
Trying to fit π in a selfie is like squeezing into jeans post-Thanksgiving dinner—impossible! The first digit posed, but the rest? They photobombed and ran off the frame, leaving a 'pi'c that's 3.14% complete and 96.86% mystery.
"The Greek letter appears on p. 243 [of William Jones's 1706 work Synopsis Palmariorum Matheseo] in the phrase "½ Periphery (π)", calculated for a circle with radius one."
"Why that letter? It’s the first Greek letter in the words “periphery” and “perimeter,” and pi is the ratio of a circle’s periphery — or circumference — to its diameter."
What role does #NFDI play for different disciplines? Our series continues with Michael Hintermüller, speaker of the consortium @mardi.
ℹ️ #MaRDI wants to develop a robust Mathematical #Research#Data Infrastructure that would be useful within #mathematics and other disciplines as well as non-scientific fields.
French astronomer and mathematician Urbain-Jean-Joseph Le Verrier was born #OTD in 1811.
Using mathematical calculations based on perturbations in Uranus's orbit, Le Verrier predicted the existence and position of Neptune. His calculations led to the discovery of Neptune in 1846, less than a month after he sent his predictions to German astronomer Johann Gottfried Galle, who observed the planet exactly where Le Verrier had predicted.
I've been posting a lot about SDF modeling in #MagicaCSG and #Unbound lately, so I thought to explain a little bit about it…
SDF stands for Signed Distance Fields, falling in the CSG 3D category (Constructive Solid Geometry). 3D SDF is based on volumetric math functions, and offers complete modeling freedom without any concerns about topology / mesh structure, unlike polygonal modeling or even NURBS modeling.
German mathematician Ferdinand von Lindemann died #OTD in 1939.
In 1882, Lindemann published the result for which he is best known, the transcendence of π. His methods were similar to those used nine years earlier by Charles Hermite to show that e, the base of natural logarithms, is transcendental. Before the publication of Lindemann's proof, it was known that π was irrational, as Johann Heinrich Lambert proved π was irrational in the 1760s. via @wikipedia
The math around pharmakinetics of Ozempic/semiglutide (and many drugs in fact) is fun from a mathematics standpoint and not too hard to understand.
Basically it has a 7 day half life, so they dose it every 7 days. So each week the amount in your blood right after an injection is : 1, 1.5,1.75.... approaching 2. Which means after about a month you reach max dose and it naturally levels off. The curve is basically logarithmic if you did the math though.
Its a nice little intro to finite infinite series, a fun topic IMO.
American logician, and mathematician Christine Ladd-Franklin died #OTD in 1930.
After leaving Johns Hopkins University, she worked with German psychologist G. E. Müller, where she carried out experimental work on vision. She was also able to work in the laboratory of Hermann von Helmholtz, where she attended his lectures on theory of color vision. After attending these lectures, she developed her own theory of color vision. In 1929 she published Color and Color Theories.
French mathematician Pierre-Simon Laplace died #OTD in 1827. Between 1770-73, he submitted 13 papers to the French Academy of Sciences, on such subjects as integral calculus, mechanics, & physical astronomy. His in-depth study of the motions of the planets & the stability of the solar system formed the basis of the 5-volume Traité de Mécanique Céleste. He made important contributions to probability & statistics with the publication of Théorie Analytique des Probabilités.
Laplace formulated Laplace's equation, & pioneered the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming. The Laplacian differential operator, widely used in mathematics, is also named after him. He restated & developed the nebular hypothesis of the origin of the Solar System and was one of the first scientists to suggest an idea similar to that of a black hole. via @wikipedia
"One sees, from this Essay, that the theory of probabilities is basically just common sense reduced to calculus; it makes one appreciate with exactness that which accurate minds feel with a sort of instinct, often without being able to account for it."
From the Introduction to Théorie Analytique des Probabilités, second and later editions; also published separately as Essai philosophique sur les Probabilités (1814).
~Pierre-Simon Laplace (23 March 1749 – 5 March 1827)