Blog.CarlRobitaille.org

Indiscriminate laziness

Borwein integrals

Posted on 2019/07/28 by Carl Robitaille

These are called Borwein integrals named after David and Jonathan Borwein, father-and-son mathematicians who first introduced them in 2001. If you extrapolate you will find that when you add the next obvious factor sinc(x/15) this sequence fails. 😕 pic.twitter.com/Tl5iMR0mlL
— Fermat's Library (@fermatslibrary) July 28, 2019

Banach fixed-point theorem

Posted on 2019/07/27 by Carl Robitaille

Here’s a cool instance of the Banach fixed-point theorem pic.twitter.com/qdbGpGHVnN
— Fermat's Library (@fermatslibrary) July 27, 2019

Prove it

Posted on 2019/07/27 by Carl Robitaille

(on a plane)

flight attendant: is there a doctor on this plane?

me: i’m a doctor

flight attendant: this man is having a heart attack

me: i’m a doctor in mathematics

flight attendant: he is going to die

me: prove it
— bad math jokes (@funnymaths) July 26, 2019

An interactive demonstration of the Wallace–Bolyai–Gerwien theorem.

Posted on 2019/07/25 by Carl Robitaille

An interactive demonstration of the Wallace–Bolyai–Gerwien theorem.

Eclipses can be approximated the same way as π. [ONE TAKE!]

Posted on 2019/07/25 by Carl Robitaille

Stirling Approximation

Posted on 2019/07/25 by Carl Robitaille

Scottish mathematician James Stirling devised his formula for approximation factorials n! in 1730. The Stirling Approximation only uses mathematical constants including e and π. pic.twitter.com/W2W315DIno
— Fermat's Library (@fermatslibrary) July 25, 2019

Mitchell Feigenbaum (1944–2019), 4.66920160910299067185320382…

Posted on 2019/07/23 by Carl Robitaille

Mitchell Feigenbaum (1944–2019), 4.66920160910299067185320382…

Throwing an object at the same speed but different angles defines an ellipse via its maximum height

Posted on 2019/07/23 by Carl Robitaille

Throwing an object at the same speed but different angles defines an ellipse via its maximum height pic.twitter.com/vQ8NMssCMf
— 〈 Berger | Dillon 〉 (@InertialObservr) July 22, 2019

The Dehn Invariant

Posted on 2019/07/22 by Carl Robitaille

Equilateral Triangle & Tangent Circles Phenomenon

Posted on 2019/07/22 by Carl Robitaille

https://twitter.com/dynamic_math/status/1153178436611035137?s=20