Fernando A. Crespo R

I'm a Mathematical and Industrial Engineering of University of Chile, and I have a Doctoral Degree in Engineering Science. I work in research and consulting.

[MotherMary @Mothermary0012]

Salve Regina

[Anton Gerashchenko @Gerashchenko_en]

A little girl came to her dad on her graduation day.

Damn this war.

📹: oksankaborukh / Instagram

[Probability and Statistics @probnstat]

Emmanuel Candès is one of the most influential figures in modern statistics, applied mathematics, and data science. His work transformed how researchers think about high-dimensional data, sparse structures, and signal recovery. Candès became widely known for pioneering compressed sensing, a revolutionary theory showing that signals can often be reconstructed from surprisingly few measurements when underlying structure or sparsity is present.

His contributions span compressed sensing, convex optimization, matrix completion, statistical inference, robust PCA, and high-dimensional learning. These ideas became foundational in modern imaging, medical reconstruction, signal processing, machine learning, and AI. Many techniques used in sparse learning, feature selection, recommendation systems, and large-scale optimization trace back to mathematical frameworks developed by Candès.

One of his deepest insights was that complexity can often be controlled through hidden low-dimensional structure, even in extremely high-dimensional spaces. This principle strongly influenced modern statistical learning and data-driven science.

Recently, Candès was awarded the prestigious Shaw Prize in Mathematical Sciences for breakthrough contributions connecting deep mathematical analysis with information theory, signal processing, and statistics. The prize recognized the profound impact of his work on both pure mathematics and practical data science, highlighting how rigorous mathematical ideas can reshape modern technology and scientific discovery.

[Math Cafe @Riazi_Cafe_en]

"Foundations of the Theory of Probability"
by Andrey Kolmogorov

Kolmogorov introduced the modern axiomatic foundations of probability theory in this book.

Archive link: https://t.co/Vy5JFLVhjo

[Chinonye @justchinonye]

The holy Trinity and the holy Mother of God

[Armada de Chile @Armada_Chile]

Gracias por acompañarnos en el Mes del Mar, de todos los chilenos.

[Mathematica @mathemetica]

Gauss’s Law states that the total electric flux through a closed surface equals the enclosed charge divided by vacuum permittivity ε₀.

The diagram shows a point charge q at the center of a spherical Gaussian surface of radius r, with outward electric field E and area element dA indicated.

Key equations:
Φ_E = Q_enc / ε₀,
Φ_E = ∮ E ⋅ dA,
and the radial field of the point charge
E = Q / (4π ε₀ r²) r̂.

[Mathematica @mathemetica]

Image showing a classic Helmholtz coil pair; two circular coils, each with radius R, mounted a distance R apart along the same axis.

Current flows through both in the same direction (N turns carrying current I), and their magnetic fields add up to create a steady, highly uniform field B right in the central region between them.

Helmholtz coils are a go-to setup in labs whenever researchers or engineers need a controlled, uniform magnetic field without fancy equipment.

They’re commonly used to calibrate magnetometers and sensors, measure how different materials respond to magnetic fields, run precise atomic and molecular experiments, test spacecraft components, and have supported the development of technologies like MRI systems and magnetic navigation tools.

[Sr. Mary Joseph Calore, SSCJ @sscjusa]

"I am not afraid. I was born for this."
St. Joan of Arc

For what, for whom were you born.
For God alone.
Embrace your destiny.

[Math Cafe @Riazi_Cafe_en]

A knight can traverse all 64 squares of a chessboard exactly once by following a continuous path called a Knight's Tour.

[𝔊𝔯á𝔦𝔫𝔫𝔢 🕊️☘️ @GrainneMcD92925]

𝓑𝓵𝓮𝓼𝓼𝓮𝓭 𝓯𝓮𝓪𝓼𝓽 𝓸𝓯 𝓣𝓱𝓮 𝓜𝓸𝓼𝓽 𝓗𝓸𝓵𝔂 𝓣𝓻𝓲𝓷𝓲𝓽𝔂 🕊️

[Mathematica @mathemetica]

Shannon Entropy: Measuring Uncertainty in Information

H(X) = - ∑ P(xᵢ) log P(xᵢ)
This is the legendary formula by Claude Elwood Shannon (1916–2001); the father of Information Theory.
Entropy quantifies how much uncertainty (or average information) is contained in the outcome of a random variable X. The more unpredictable the outcomes, the higher the entropy.

From data compression and cryptography to AI and communications; this concept powers the digital world.

[Ilir Aliu @IlirAliu_]

Dear algorithm: please show this post to people interested in robotics, automation, manufacturing, and AI, not selfies, fake hustle stories, or recycled motivation content.

I want my feed back to engineers, builders, operators, and people actually doing stuff.

Thank you.

[Virginia @ViriCenturione]

«Necesitas la ayuda de san Miguel Arcángel para vivir en el mundo».

Padre Pío.

[Frank Nielsen @FrnkNlsn]

Variational Jensen-Shannon divergence and its extensions https://t.co/8BfgxrX2Gf
(information radius)

[RosarySon @SkyVirginSon]

Our Lady Of Fatima: Protect The Innocents!

[Julian Alfaro Riveros @AndresUDP22]

Es notable como hasta en el catolicismo Chile era distinto al resto de latam. El Chile central (el corazon del pais), practicaba una religiosidad sobria, solemne, sin lujo ni pompa. Mezcla de rigor aristocratico y austeridad campesina, aqui no habian exageraciones, solo fe pura

[Garry Kasparov @Kasparov63]

Anyone surprised by Ukraine’s recent advances has never met the Ukrainians! They’re not just fighting to survive, they are fighting to win—and they will win.

[Steve Stewart-Williams @SteveStuWill]

RIP Robert Trivers - the Einstein of evolutionary biology and one the greatest thinkers of our age.

Among other things, Trivers came up with parental investment theory, reciprocal altruism theory, and parent-offspring conflict theory.

[Institute of National Remembrance @ipngovpl_eng]

https://t.co/2spGeufeRS
📽🎞📺The IPN-produced short documentary “They Kept Holding Hands" depicts the heroism of the Baranek family, who risked their lives to save their fellow Jewish citizens.