Angel Manuel Ramos del Olmo

Prof. Applied Mathematics @unicomplutense
President Spanish Society of Applied Mathematics (SEMA)
Former Director Interdisciplinary Mathematics Institute (IMI)

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Thread (1) of Calista's answers
⚠ This is only for math geeks
1/26 https://t.co/114LGKpSml

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

📣Calista's answers

Calista, can you write another property of the Pascal's Triangle?

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

When Mathematics Meets Aesthetics
https://t.co/7KLnQxhgFf

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

pie = 3,14.... x 2,7....

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

2/2 https://t.co/SvuTP5oN38

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

What is the statement of the theorem whose proof is shown in the image?

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

🧵Thread of
What is the statement of the mathematical result whose proof is shown in the image?
1/2 https://t.co/xC614YaA2A

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

What is the statement of the mathematical result whose proof is shown in the image?

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Hoy es San Primo

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files That is the Basel problem. It was first posed by Pietro Mengoli in 1650 and Euler found (in 1734) the exact sum to be π²/6👇https://t.co/mLJpj8gtvU

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

The Basel problem asks for the summation of the reciprocals of the squares of the natural numbers

1/1² + 1/2² + 1/3² + 1/4² + ...

It was first posed by Pietro Mengoli in 1650 and Euler found (in 1734) the exact sum to be π²/6

https://t.co/8HHM4RA1H8

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Yesterday the Pope and today Marc Márquez did a six-seven. It all started with the six-seven Calista did a while ago👇https://t.co/wR3qX9h5xI

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

📣The 6-7 problem
⚠️This is only for math geeks🤓

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files You can see more magic like the previous one here👇https://t.co/5owNE81R7Q

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

𝓘'𝓶 𝓰𝓸𝓷𝓷𝓪 𝓽𝓮𝓵𝓵 𝔂𝓸𝓾 𝓪 𝓼𝓮𝓬𝓻𝓮𝓽:

2𝑛² + 11 is prime for 𝑛=0,1,2,...,10 (distinct primes)

𝑛² + 𝑛 + 41 is prime for 𝑛=0,1,2,...,39 (d.p.)

8𝑛² -488𝑛 + 7243 is prime for 𝑛=0,1,2,...,61 (d.p)

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files More interesting properties of 69 here 👇https://t.co/ALGHAGxE3z

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

10⁶⁹ + 69 is prime
100⁶⁹ - 69 is prime

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files Indeed, it is a curious prime number👇https://t.co/sJ5YUu95He

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

My current number of followers (1709) is the first of a sequence of eight primes formed by adding 57 in the middle.

I will write curious properties of my next number of followers (you can try to change it)

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

What is the statement of the mathematical result whose proof is shown in the image?

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files .... and St. Mark's students in 2011 claim a new record: 13 times 👇https://t.co/3saIXZRoJd

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

How many times can you fold a piece of paper?

Britney Gallivan in 2002: 12 times (Guinness World Record)

St. Mark's students in 2011 claim a new record: 13 times https://t.co/FuDqaaHdHx a través de @YouTube

Guinness World Records https://t.co/qlLZJkWJbM a través de @YouTube

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Very happy with our article!

Sparse feature selection via 𝓁𝑝-quasi-norm second-order cone programming

Free access to the article until July 18, 2026: https://t.co/aO1hTWmRp4

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files That thesis is the basis of a lot of research works. Here you can see just one example (of my articles about that topic)👇https://t.co/bS9p5VAQXp

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

New article!

Nash Equilibria Strategies and Equivalent Single-Objective Optimization Problems. The Case of Linear Partial Differential Equations

https://t.co/9ykWfUXRwF

Yes, "Nash" refers to John Nash (1994 Nobel Prize in Economics)
Yes, "A Beautiful Mind" is a movie about him

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files 666 is much more than a triangular number 👇
https://t.co/eVXis9EKS6

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Number of the beast=666=χξϛ

1 + 2 + 3 + … + 34 + 35 + 36=666

2²+ 3²+ 5²+ 7²+ 11²+ 13²+ 17²=666

1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 5³ + 4³ + 3³ + 2³ + 1³=666

6 + 6 + 6 + 6³ + 6³ + 6³ =666

The first 144 decimal digits of π sum to 666

The first 146 decimal digits of φ sum to 666

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files Here you can see here Sheldon talking about It in the Big Bang 73 episode👇https://t.co/7UveNoWiqv

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

The Big Bang Theory 73rd episode

Sheldon: The best number is 73
Why? 73 is the 21st prime number
Its mirror, 37, is the 12th and its mirror, 21, is the product of multiplying 7 and 3... and in binary 73 is a palindrome, 1001001, which backwards is 1001001
https://t.co/qtwigUSETr

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@TheMathFlow Here you can see that visual proof and another one👇https://t.co/KYLfrtVR93

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

1/3 = 1/4 + 1/4² + 1/4³ + 1/4⁴ + ...

Visual Proof: 👇

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files The Fibonacci sequence is also encoded in the number 1/109, but reading backwards👇https://t.co/PpG5NGihI1

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

1/109 and Fibonacci sequence
(see "1/89 and Fibonacci sequence" below)

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files It is obtained by rotating the function f=1/x (with x>1) about the x axis.
Painter's paradox👇https://t.co/JQWiNPeHOy

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

Gabriel′s horn

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

@Math_files Calista has a solution 👇
https://t.co/9a48VEFFTt

[Angel Manuel Ramos del Olmo @AMRamosDelOlmo]

📣Calista's answers

Calista's solution to a US$1 million problem

⚠️This is only for math geeks

(inspired by @ClaraGrima , #UnaMatemáticaVieneAVerte and @rober_fun )