José Luis de la Cruz

Se dijo a tiempo

You can see China's Five-Year Plans as giant AI prompts. They're not hard and fast rules dictating how each official or company must operate. They're a set of priorities and goals that Chinese policymakers want the nation to work towards. The problem is the mechanism for transmission is indirect and goes through many layers. The final output often deviates from the intended goals laid out in official plans, sometimes quite dramatically, and then you get a never-ending series of modifications or "re-prompting" through subsequent plans and speeches. I included a short appendix at the end of this piece trying to explain how China's Five-Year Plans work and how they've changed over time: highcapacity.org/p/chinas-tech-…

Richard Feynman was a brilliant scientist and an even better teacher. He worked at California Institute of Technology and helped explain the strange world of quantum physics using simple drawings called Feynman diagrams, which earned him a Nobel Prize. What made him special was how easily he explained difficult ideas. He believed in truly understanding things by asking himself simple questions like, “Do I really understand this?” He could turn complex science into everyday language. For example, he explained fire as atoms (like oxygen and carbon) coming together faster when heated, creating a chain reaction that spreads energy—what we see as flames. Feynman made learning fun, clear, and exciting. He showed that anyone can understand science if it’s explained the right way.

Magical summer nights in Florence, Italy

Maryam Mirzakhani was one of the most influential scientists of the 21st century. She made history by becoming the first woman to win the Fields Medal, often called the “Nobel Prize of Mathematics.” After completing her undergraduate studies in Tehran, she went on to earn her PhD in mathematics from Harvard University. She later became a professor at Stanford University, where she continued her groundbreaking research. In 2014, she was awarded the Fields Medal for her innovative work on the geometry and dynamics of Riemann surfaces. Her research has played an important role in modern fields like string theory, helping scientists better understand the fundamental structure of the universe. Maryam Mirzakhani’s birthday is celebrated as the International Day of Women in Mathematics, honoring her legacy and inspiring women around the world. Sadly, this brilliant mind passed away at the age of 40. To honor her contributions, her name has been given to a planet and even a satellite sent into space. Her life remains a powerful example of curiosity, dedication, and the beauty of mathematics.

El reír de no confiar en la política industrial le costó caro a Alemania y a Occidente: no fue de la noche a la mañana, fue gradual, se aceleró en los últimos años pero fue el resultado del dogma neoliberal que dominó el mundo Occidental durante décadas

The Peralta S, a fully custom supercar commissioned by Mexican businessman Carlos Peralta and designed by GFG Style. There's only one car.

🇻🇳 Miren el nivel de desarrollo de Da Nang en Vietnam, parece Miami. Eran una aldea de pescadores. Las maravillas de abandonar el comunismo y adoptar un furioso capitalismo de libre mercado.

BREAKING: The US Federal Reserve is now no longer expected to cut interest rates until December 2027. There is now a 51% chance of an interest rate HIKE by March 2027. Rate HIKES are now more likely than rate CUTS. How did we end up here?

JUST IN 🚨: Japan's 10-Year Bond Yield soars to 2.38%, the highest level this century 🤯👀🫂

El yen puesto a prueba y con ello al sistema monetario japonés y a las divisas utilizadas para la especulación. El peso y Banco de México lo vivirán

🚨⚡️ Un video insólito de un meteorito impactando la Luna se está volviendo viral en todo el mundo. Debido a que la Luna no tiene atmósfera, los meteoritos no se queman al impactar como sucede en la Tierra.

Learn Probability Through Problems (exercises, hints, and solutions provided): amzn.to/3vZed8W ————— #Statistics #DataScience #Mathematics

One of the most brilliant and criminally underrated books on applied probability.

“Trading is Math: The Formulas for Profitable Trading in Any Market” Available at amzn.to/4c9DvUv

🔴| Un Boeing 747 adelantando a un Gulfstream IV a más de 10.670 metros de altura. Aunque el 747 es un gigante de 4 motores, en crucero puede volar más rápido que un jet privado. Una escena rara y hermosa del cielo. ✈️

SI CON 41 HACE ESTO... QUE JUEGUE HASTA LOS 82!!!! Estos son los mates de LEBRON JAMES en su AÑO 23 en LA NBA ..... 😮😮😮😮

El historiador Bill Federer: "En 2030, habrá una mayoría de población musulmana en Europa, y simplemente votarán según la ley Sharia". La gente olvida que Egipto fue completamente cristiano durante seis siglos. Ya no lo es. Todo el norte de África fue completamente cristiano durante seis siglos. Ya no lo es. Constantinopla fue la ciudad cristiana más grande del mundo, y durante siglos, la iglesia cristiana más grande del mundo fue Santa Sofía. Y se convirtió en mezquita. Quieren hacer lo mismo con el Vaticano."

Problem Solving Through Recreational Mathematics (Math Games & Puzzles): amzn.to/4sFvJXY

Free Math Book. "How We Got from There to Here: A Story of Real Analysis." Introduces students to difficult definitions by including historical developments. An intro analysis textbook. Students solve problems that include historical context. Contents Prologue: Three Lessons Before We Begin I: In Which We Raise a Number of Questions 1 Numbers, Real (R) and Rational (Q) 2 Calculus in the 17th and 18th Centuries 2.1 Newton and Leibniz Get Started 2.1.1 Leibniz’s Calculus Rules 2.1.2 Leibniz’s Approach to the Product Rule 2.1.3 Newton’s Approach to the Product Rule 2.2 Power Series as Infinite Polynomials 3 Questions Concerning Power Series 3.1 Taylor’s Formula 3.2 Series Anomalies II Interregnum Joseph Fourier: The Man Who Broke Calculus III In Which We Find (Some) Answers 4 Convergence of Sequences and Series 4.1 Sequences of Real Numbers 4.2 The Limit as a Primary Tool 4.3 Divergence 5 Convergence of the Taylor Series: A “Tayl” of Three Remainders 5.1 The Integral Form of the Remainder 5.2 Lagrange’s Form of the Remainder 5.3 Cauchy’s Form of the Remainder 6 Continuity: What It Isn’t and What It Is 6.1 An Analytic Definition of Continuity 6.2 Sequences and Continuity 6.3 The Definition of the Limit of a Function 6.4 The Derivative, An Afterthought 7 Intermediate and Extreme Values 7.1 Completeness of the Real Number System 7.2 Proof of the Intermediate Value Theorem 7.3 The Bolzano-Weierstrass Theorem 7.4 The Supremum and the Extreme Value Theorem 8 Back to Power Series 8.1 Uniform Convergence 8.2 Uniform Convergence: Integrals and Derivatives 8.2.1 Cauchy Sequences 8.3 Radius of Convergence of a Power Series 8.4 Boundary Issues and Abel’s Theorem 9 Back to the Real Numbers 9.1 Infinite Sets 9.2 Cantor’s Theorem and Its Consequences Epilogue Epilogue: On the Nature of Numbers Epilogue: Building the Real Numbers The Decimal Expansion Cauchy sequences Dedekind Cuts Link: milneopentextbooks.org/how-we-got-fro…

Over 500 rocket landings now