General Mathematics

Cardano's Formula

Authors: Edgar Valdebenito
Comments: 5 Pages.

Girolamo Cardano (1501-1576) was an Italian mathematician who is famed for his work Ars Magna which was the first Latin treatise devoted solely to algebra. In it he gave the methods of solution of the cubic equations.
Category: General Mathematics

Post Pandemic, Social Media Pedagogy: Math with TI Calculator Menu Programs

Authors: Timothy W. Jones
Comments: 5 Pages.

Laments from teachers of all stripes are growing. Looking out from behind the podium one can constantly see a sea of bored, confused, seemingly moribund students staring at their I-phones, maybe still wearing Covid masks. Between the pandemic and social media and traditional sage on a stage teaching teachers reside: a kind of prehistoric fish out of any known water. In this article we propose a solution using in novel and controversial ways TI-84 CE calculators. The idea is to show how to animate students via increased teacher-student and student-student interactions. It is field tested: life does come back into the classroom with the techniques I give in this article: get an easy A using your cool calculator, filling in a shell provided by the teacher.
Category: General Mathematics

Simple Proof that This Earth is a 4-Dimensional Space-Time

Authors: Yuji Masuda
Comments: 1 Page.

In the previous number, I defined the unit of charge as 3 and showed that Coulomb's law holds. In this number, I will explain this earth dimension from the detailed explanation of Fleming's left-hand law in the previous number.
Category: General Mathematics

Cross Product Through Fleming’s Left Hand Rule

Authors: Yuji Masuda
Comments: 1 Page.

In explaining matters not explained in my previous post No. 51, especially electricity, I will mention a special method of calculation called vector product.
Category: General Mathematics

One Property of the Euler's Number e
Una Propiedad Del Numero e de Euler

Authors: Carlos Alejandro Chiappini
Comments: 3 Pages. carloschiappini@gmail.com

Does something special happen when the exponent of a power is the inverse of the base? The analysis of the case led, unexpectedly, to a property of e and a simple way to definethat number.

Sucede algo especial cuando el exponente de una potencia es la inversa de la base? Elanálisis del caso condujo, inesperadamente, a una propiedad de e y a una manera sencilla de definir ese núumero.
Category: General Mathematics

Polinomial Natural Solution of the Pythagorean Equation
Solución Natural Polinómica de la Ecuación Pitagórica

Authors: Carlos Alejandro Chiappini
Comments: 5 Pages. carloschiappini@gmail.com

While unsuccessfully playing with the last Fermat's theorem I noticed that this way of playing, applied to the Pythagorean equation a²+b²=c², leads to a polynomial general natural solution. The game combines arithmetic, common sense and logic. It is a bit like teaching and learning mathematical and geometric subjects with the help of colorful manipulatives, as is done at the most elementary levels of teaching. The only thing different in the adult experience is operating with mentally conceived objects. The way of operating with them does not change.

Mientras jugaba sin éxito con el UTF noté que esa manera de jugar, aplicada a la ecuación pitagórica a²+b²=c² , conduce a una solución natural general polinómica. El juego combina aritmética, sentido común y lógica. Se parece un poco a enseñar y aprender asuntos matemáticos y geométricos con ayuda de objetos manipulables coloridos, como se hace en los niveles más elementales de la enseñanza. Lo único distinto en la experiencia adulta es operar con objetos concebidos mentalmente. La manera de operar con ellos no cambia.
Category: General Mathematics