Profmathsland

Interesting comments split between people who did and did not learn this equation for the area of a triangle… Does not require a base measurement, just the side lengths. As seen in our new video… https://youtu.be/UIjeCKPHbso pic.twitter.com/fpwvl88mYg

Kelechi Iheanacho has scored the: — Most goals by a Nigerian in the FA Cup (10) — Most goals by a Nigerian in the League Cup (8) You love to see it pic.twitter.com/HQx3kRGOF6

The distribution of women and men across academic disciplines seems to be affected by perceptions of intellectual brilliance. Today's paper presents 4 studies performed to assess the perception of brilliance by young children aged 5 to 7. Insightful : https://fermatslibrary.com/s/gender-stereotypes-about-intellectual-ability-emerge-early-and-influence-children-s-interests …pic.twitter.com/uxH2AF1cw6

A visual proof A square inscribed in a semicircle has 2/5 the area of a square inscribed in the circle of the same radius. pic.twitter.com/f3hG51CYhm

An integral for the Golden Ratio 𝜙pic.twitter.com/CEC3xKMM3F

It took us 255 years to go from Galilean transformations for falling bodies to Lorentz transformations that are in accordance with Einstein's special relativity.pic.twitter.com/hY8F60VogW

Circular Prime 193 939 939 391 393 919 939 193 391 939 919 393 are all prime numbers. Regardless of what way you arrange the digits, the resulting number is prime.pic.twitter.com/wsbZnGt4b9

In 1997, the Texas banker Andrew Beal noticed that for any solution of Aˣ+Bʸ=Cᶻ he could find, A,B,and C had a common factor (e.g. 3⁶+18³=3⁸, 3 is a common factor). There's currently a $1 million prize for a proof or counterexample of the Beal conjecture.pic.twitter.com/QgWsMzVvs7

It was only 282 years ago that Euler presented in his textbooks the exact formula for the volume of a spherepic.twitter.com/10QCCtUmeA

This is the largest prime such that the first n digits are divisible by the nth prime 8 is divisible by 2 87 is divisible by 3 875 is divisible by 5 ...pic.twitter.com/KMhPMKS84i

Choose 2 numbers at random - here's the probability they will have no common factorpic.twitter.com/fShMt0cZC0

The nabla symbol, commonly used in math to represent the gradient of a function ∇f, is so-called because it looks like a harp and the Greek word for the Hebrew or Egyptian form of a harp is "nabla".pic.twitter.com/KosVisAfS0

Even though we have known that e^π is transcendental since 1930, to this day no one has been able to prove that π^e is transcendental.pic.twitter.com/JiaqcqaeOv

Following yesterday's tweet, here's a proof that e^π is transcendental.pic.twitter.com/O8yULNz74P

In 1546, Niccolo Tartaglia became the first person to discover that a projectile should be fired at 45° to maximize range. His conclusion was based on incorrect theory as can be seen in his diagrams.pic.twitter.com/SoYlNXI7Yc

This is Champernowne’s constant. It is transcendental (Mahler 1961) and normal in base 10 (Bailey and Crandall 2002), meaning that each digit 0 to 9 occurs 10% of the time.pic.twitter.com/7GExueebda

An emirp is a prime number that gives a different prime when the order of the digits is reversed.pic.twitter.com/mVTTF8k2wL

The Infinite Gift This is an interesting object where the side of the nth box is 1/√n. As n→+∞, the gift has infinite surface area and length but finite volume! Learn more about this interesting paradox here: https://fermatslibrary.com/s/gabriels-horn pic.twitter.com/kxO20PTGti