fabricio cevallos

[Juan Matías Sepulcre @JMSepulcre]

📢 El libro "Problemas elementales de olimpiadas matemáticas" (Autores: J.M. Conde; J.M. Sepulcre. ISBN: 978-84-9717-260-8) del Servicio de
@PublicacionesUA está disponible a través de la web https://t.co/eU97VMP5Cm

[TrendSphere360 @BraveSoulsSpace]

Meaning of MATHEMATICS

[Cliff Pickover @pickover]

The famous math puzzle known as "Martin Gardner's April Fool's Map".  It was published in 1975 to incorrectly claim that it requires 5 colors to color, defying the 4-Color Theorem. Despite its complexity, the map can actually be colored using only 4 colors. The map consists of 110 distinct regions.  The CHALLENGE is to color the regions such that no two adjacent regions share the same color.

[Philosophy Of Physics @PhilosophyOfPhy]

17 Equations that changed the world.

These equations span centuries of human thought, from ancient geometry to modern financial markets, and form the mathematical foundation for most of our modern technology.

[Math Files @Math_files]

The first formula that allows the calculation of the n-th decimal digit of π—without needing to compute all the previous digits—was discovered by Simon Plouffe in 2022.

[Inst. de Cc. Matemáticas @_ICMAT]

😉¿Sabrías resolverlo? Laura Castilla, investigadora predoctoral en el #ICMAT, te propone un reto: Si colocamos los números del 1 al 9 en una cuadrícula de 3x3 y leemos las filas y las columnas como números de tres cifras, ¿la suma se los seis puede ser 2026?

[Math Files @Math_files]

If you divide 1 by 998,001 you get all three-digit numbers from 000 to 999 in order, except for 998.

[Math Lady Hazel 🇦🇷 @mathladyhazel]

This is math.

[SKG @sonukg4india]

🌀

[Reygan Dionisio @ZahlenRMD]

Trigonometric Substitution

#sharingisthenewlearning

[Math Files @Math_files]

Most of the math students know the Fibonacci numbers, the sequence that goes 0, 1, 1, 2, 3, 5, 8,..., where each number is obtained by adding the previous two terms. So after 5 and 8, the next term is 13 because 5 + 8 = 13.

It’s very intuitive—you can find any Fibonacci number just by continuing the sequence until you reach the one you want.

But if someone ask you to find the one-millionth Fibonacci number, that’s not so easy to do by hand. What are you going to do—write out the first 999,999 terms and then add the last two to get the millionth? That would take an absurd amount of time.

What if there were a formula where you simply plug in a number—say, 1,000,000—and directly obtain the exact Fibonacci number? It turns out there is such a formula. The nᵗʰ Fibonacci number is given by the formula provided in image.

If you recognize the term (1 + √5)/2, that’s the golden ratio.

This formula is pretty incredible because each term inside the brackets is irrational. Yet when you raise them to the nᵗʰ power and subtract, all the irrational parts cancel out, leaving a perfect integer every time.

[Andrzej Kukla @Mathinity_]

Late night snack (integral) delivered right to your door (notebook). Have fun! 🌒✨