Angel "Java" Lopez en Blog

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Albert Einstein with an Einstein Puppet
https://twitter.com/phalpern/status/1224162802874638337

The muon
https://www.symmetrymagazine.org/article/may-2012/the-muon

The Year in Physics
https://www.quantamagazine.org/quantas-year-in-physics-2019-20191223/

Why is the night sky dark?
http://www.astronomy.com/magazine/ask-astro/2019/11/why-is-the-night-sky-dark

In Brain Waves, Scientists See Neurons Juggle Possible Futures
https://www.quantamagazine.org/in-brain-waves-scientists-see-neurons-juggle-possible-futures-20200224

Cosmology's Biggest Conundrum Is A Clue, Not A Controversy
https://www.forbes.com/sites/startswithabang/2019/05/03/cosmologys-biggest-conundrum-is-a-clue-not-a-controversy/#6df7bc0178ea

The Universe is a watermelon
https://twitter.com/dcastelvecchi/status/1161587847520018433

The quest to unlock the secrets of the baby Universe
https://www.nature.com/articles/d41586-019-02417-7

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Measuring a particle's spin in a rapidly rotating object
https://phys.org/news/2020-01-particle-rapidly-rotating.html

The map of chemistry
https://www.flickr.com/photos/95869671@N08/34536396162

What's the difference between a polaron and a polariton?
https://twitter.com/johncarlosbaez/status/1225479911197949952

A New Type of Li-Fi Has Reportedly Cracked 40 Gbps, 100 Times Faster Than The Best Wi-Fi
https://www.sciencealert.com/a-new-type-of-li-fi-has-reportedly-cracked-40-gigabits-per-second-100-times-faster-than-regular-wi-fi

Structure of novel coronavirus spike protein solved in just weeks
https://cen.acs.org/analytical-chemistry/structural-biology/Structure-novel-coronavirus-spike-protein/98/i8

Did the Chicken Come First or Is It Turtles All the Way Down?
https://www.quantamagazine.org/puzzle-with-infinite-regress-is-it-turtles-all-the-way-down-20200206/

Listen to Albert Einstein explain his famous formula, E=mc²
https://twitter.com/ValaAfshar/status/1224452690500915206

Max Planck was the first established physicist to embrace Einstein's work on special relativity
https://twitter.com/johncarlosbaez/status/1224387075933237248

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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The Category Theory Behind UMAP
https://twitter.com/johncarlosbaez/status/1226898580792737794
https://johncarlosbaez.wordpress.com/2020/02/10/the-category-theory-behind-umap/

The science checklist applied: Mathematics
https://undsci.berkeley.edu/article/mathematics

Rainbow Proof Shows Graphs Have Uniform Parts
https://www.quantamagazine.org/mathematicians-prove-ringels-graph-theory-conjecture-20200219/

Equations that changed the world
https://twitter.com/ProfFeynman/status/1227435683385663488

Every number greater than 55 is the sum of distinct primes of the form 4n+3
https://twitter.com/fermatslibrary/status/1229034200432594946

The Map of Mathematics
https://www.quantamagazine.org/the-map-of-mathematics-20200213/

The Freyd-Mitchell Embedding Theorem
https://arxiv.org/abs/1901.08591

Introduction to Clifford Algebra
https://www.av8n.com/physics/clifford-intro.htm

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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The Year in Biology
https://www.quantamagazine.org/quantas-year-in-biology-2019-20191223/

Quantum Questions Inspire New Math
https://www.quantamagazine.org/how-quantum-theory-is-inspiring-new-math-20170330/

Mind-blowing: Richard Feynman explains how trees come mainly from the air, not the ground
https://twitter.com/SteveStuWill/status/1228421597230317568

A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
https://www.sciencedirect.com/science/article/pii/0550321391902926

A Fight to Fix Geometry"s Foundations
https://www.quantamagazine.org/the-fight-to-fix-symplectic-geometry-20170209

Einstein, Edison and an Aptitude for Genius
https://medium.com/starts-with-a-bang/einstein-edison-and-an-aptitude-for-genius-31a41a1947f1

The Grand Unified Theory of Rogue Waves
https://www.quantamagazine.org/the-grand-unified-theory-of-rogue-waves-20200205/?mc_cid=edd414909d&mc_eid=c608d388a6

La guerra evolutiva con las orcas explica las muertes masivas de zifios
https://www.vozpopuli.com/altavoz/next/guerra-evolutiva-explica-muertes-masivas_0_1324968878.html

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Mathematical model reveals best auction strategy
https://www.newscientist.com/article/dn3678-mathematical-model-reveals-best-auction-strategy/

Why Is M-Theory the Leading Candidate for Theory of Everything?
https://www.quantamagazine.org/why-is-m-theory-the-leading-candidate-for-theory-of-everything-20171218

But what is the Fourier Transform? A visual introduction.
https://www.youtube.com/watch?v=spUNpyF58BY&feature=emb_logo

There"s something special about four-sided figures packed into circles
https://twitter.com/brilliantorg/status/1228741327984189442

Construcciones con regla y compás (III): Los polígonos regulares - Gaussianos
https://www.gaussianos.com/construcciones-con-regla-y-compas-iii-los-poligonos-regulares/

Números primos gemelos y demás familia - Gaussianos
https://www.gaussianos.com/numeros-primos-gemelos-y-demas-familia/

Great Woman of Mathematics: Katherine Johnson
https://twitter.com/GWOMaths/status/1191782750489063425

Color-Changing Material Unites the Math and Physics of Knots
https://www.quantamagazine.org/color-changing-material-unites-the-math-and-physics-of-knots-20200210/

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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Escher ¿Qué hay en el agujero del medio?
https://twitter.com/pgroisma/status/1223195461693079554

Quantum Questions Inspire New Math
https://www.quantamagazine.org/how-quantum-theory-is-inspiring-new-math-20170330/

Proof that √2 is irrational
https://twitter.com/fermatslibrary/status/1228675333710372864

A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory☆
https://www.sciencedirect.com/science/article/pii/0550321391902926

A Fight to Fix Geometry"s Foundations
https://www.quantamagazine.org/the-fight-to-fix-symplectic-geometry-20170209

Karmarkar's algorithm
https://en.wikipedia.org/wiki/Karmarkar%27s_algorithm

Auction Theory
https://en.wikipedia.org/wiki/Auction_theory

It may surprise you to learn how much insight into auctions mathematics has been able to provide in recent years...
http://www.ams.org/publicoutreach/feature-column/fc-2011-09

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

Ya pasó el primer mes del año. Repaso de las resoluciones de enero:

- Escribir sobre Matemáticas [pendiente]
- Escribir sobre Física [pendiente]
- Escribir sobre Historia de las Matemáticas [pendiente]
- Escribir sobre Historia de la Ciencia [pendiente]
- Estudiar blues en guitarra [completo]
- Estudiar dibujo/pintura [completo] evidencia

Resoluciones del nuevo mes:

- Escribir sobre Matemáticas
- Escribir sobre Física
- Escribir sobre Historia de las Matemáticas
- Escribir sobre Historia de la Ciencia
- Estudiar blues en guitarra
- Estudiar dibujo/pintura

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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A Visual Proof
https://twitter.com/fermatslibrary/status/1221801036328980480

Los secretos matemáticos del embaldosado
https://www.abc.es/ciencia/abci-secretos-matematicos-embaldosado-202001270158_noticia.html

Harris Corner Detector
https://twitter.com/gabrielpeyre/status/1222398971043205120
https://en.wikipedia.org/wiki/Harris_Corner_Detector

Ellipsoid Method
https://en.wikipedia.org/wiki/Ellipsoid_method

Probability Distribution Fitting
https://en.wikipedia.org/wiki/Probability_distribution_fitting

El Oráculo de Aaronson
https://www.microsiervos.com/archivo/azar/oraculo-aaronson-adivina-teclas.html

Continuous Fraction for Square Root
https://twitter.com/pickover/status/1226215813264351233

Mathematics is the only infinite human activity
https://twitter.com/pickover/status/1226217934168711173

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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Metaballs
https://en.wikipedia.org/wiki/Metaballs

Jim Blinn
https://en.wikipedia.org/wiki/Jim_Blinn

The Quasi-Stationary Distribution of the Subcritical Contact Process
https://twitter.com/pgroisma/status/1225749509747150848
https://arxiv.org/pdf/1908.04175.pdf

A Chemist Shines Light on a Surprising Prime Number Pattern
https://www.quantamagazine.org/a-chemist-shines-light-on-a-surprising-prime-number-pattern-20180514/

Reverse Mode Differentiation is Kind of Like a Lens II
http://www.philipzucker.com/reverse-mode-differentiation-is-kind-of-like-a-lens-ii/

Ring of Periods
https://twitter.com/fermatslibrary/status/1220710857170210819nn
https://en.wikipedia.org/wiki/Ring_of_periods

Projective Geometric Algebra Done Right
http://terathon.com/blog/projective-geometric-algebra-done-right/

A survey of the Schrödinger problem and some of its connections with optimal transport
https://arxiv.org/abs/1308.0215

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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El Cerebro de Einstein
https://twitter.com/ValeArvejita/status/1210684528504823811

El misterio de ANITA vuelve a ser noticia
https://francis.naukas.com/2020/01/28/el-misterio-de-anita-vuelve-a-ser-noticia/

Physicist Kathleen Yardley Lonsdale
https://twitter.com/mcnees/status/1222164595072126976

How Certain Are We That Protons Don't Decay?
https://www.forbes.com/sites/startswithabang/2020/01/03/how-certain-are-we-that-protons-dont-decay/#621d260f3544

NGC 4455: A nearby galaxy that's the stepping stone to the Universe
https://www.syfy.com/syfywire/ngc-4455-a-nearby-galaxy-thats-the-stepping-stone-to-the-universe

In 1947 Schrödinger predicted that a rotating mass would generate a magnetic field
https://twitter.com/johncarlosbaez/status/1210628668835299328

Schrödinger wrote to Einstein
https://twitter.com/johncarlosbaez/status/1210607014247714817

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Mathematicians explain an uncertain law of physics
https://cosmosmagazine.com/physics/mathematicians-provide-explanation-for-an-uncertain-law-of-physics

How Ancient Light Reveals the Universe"s Contents
https://www.quantamagazine.org/how-the-cosmic-microwave-background-reveals-the-universes-contents-20200128/

Alfred Russel Wallace
https://twitter.com/mcnees/status/1214947397450645504

Gravitational waves: Cosmic vibrations sensed from unusual star merger
https://www.bbc.com/news/science-environment-51020604

Einstein and Nazi Physics
https://ojs.uv.es/index.php/Metode/article/view/13472/14905

Homenaje a Faraday
https://twitter.com/aberron/status/901417685933862912

Contemos Historias
https://twitter.com/ValeArvejita/status/1210908673150726144

Schrödinger & Einstein helped invent quantum mechanics, but they didn't really believe in it
https://twitter.com/johncarlosbaez/status/1209885293307817984

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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No Teorema de Einstein
https://twitter.com/pgroisma/status/1214290978338680833

Hawking computed the temperature of a black hole, and this let him compute its entropy
https://twitter.com/johncarlosbaez/status/1220386738738065409

DNA digital data storage
https://en.wikipedia.org/wiki/DNA_digital_data_storage

For Fluid Equations, a Steady Flow of Progress
https://www.quantamagazine.org/for-fluid-equations-a-steady-flow-of-progress-20200113/

J.J. Thomson won the Nobel Prize for the discovery of the electron in 1906
https://twitter.com/fermatslibrary/status/1216727367097470976

Core Theory
https://twitter.com/vielbein/status/1219019880059621378

La NASA descubrió otro planeta del tamaño de la Tierra en una zona "habitable"
https://www.clarin.com/sociedad/nasa-descubrio-planeta-tamano-tierra-zona-habitable-_0_8h4E8VeF.html

The New Laws of Explosive Networks
https://www.quantamagazine.org/how-complex-networks-explode-with-growth-20150714/

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Poetic Equation
https://twitter.com/InertialObservr/status/1218687216332881920

Grothendieck reformulated algebraic geometry using "schemes"
https://twitter.com/johncarlosbaez/status/1214978782752174081

How Pi Connects Colliding Blocks to a Quantum Search Algorithm
https://www.quantamagazine.org/how-pi-connects-colliding-blocks-to-a-quantum-search-algorithm-20200121/

Cómo dibujar un pentágono regular
https://twitter.com/HdAnchiano/status/1216078131720867843

Lyapunov function
https://en.wikipedia.org/wiki/Lyapunov_function

God the Geometer
https://twitter.com/pickover/status/1219007599858921472

Some abstract theorems can be used as tools to simplify matrices to practical ends
https://twitter.com/SamuelGWalters/status/1218720944220332032

Jules Hedges - compositional game theory - part I
https://www.youtube.com/watch?v=5Qny8YmLUzk&feature=emb_logo

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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The MacTutor History of Mathematics Archive
http://mathshistory.st-andrews.ac.uk/

The Gambler Who Cracked the Horse-Racing Code
https://www.bloomberg.com/news/features/2018-05-03/the-gambler-who-cracked-the-horse-racing-code

Möbius strip hidden inside Klein Bottle
https://twitter.com/InertialObservr/status/1216111529516355584

Acylindrically hyperbolic structures on groups - Balasubramanya
https://www.youtube.com/watch?v=sOIjL-wlfk4

Rhodonea
https://twitter.com/Rainmaker1973/status/1218597165473370113

Searching for Positive Returns at the Track
https://www.researchgate.net/publication/292145708_Searching_for_Positive_Returns_at_the_Track

Equation inspired by Ramanujan notebooks
https://twitter.com/pickover/status/1214200647651921920

Drawing an elephant with four complex parameters
https://twitter.com/fermatslibrary/status/1214545733048774663
https://fermatslibrary.com/s/drawing-an-elephant-with-four-complex-parameters#email-newsletter

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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Programming with Categories - Lecture 0
https://www.youtube.com/watch?v=NUBEB9QlNCM&feature=emb_logo

Cuánto da 0 elevado a la 0
https://perlitasmatematicas.wordpress.com/2020/01/14/cuanto-da-0-elevado-a-la-0/

This is the largest known Fibonacci number that's also prime
https://twitter.com/fermatslibrary/status/1217800668385284096

About Noether's Theorem
https://twitter.com/InertialObservr/status/1217545021810888706

Programming with Categories - Lecture 6
https://www.youtube.com/watch?v=xStrvUgN51A&feature=emb_logo

Tai-Danae Bradley: Modeling Language with Tensor Networks
https://www.youtube.com/watch?v=12j8OV-ptC4

Berstein Polynomial
https://en.wikipedia.org/wiki/Bernstein_polynomial

Choose 2 numbers at random - here's the probability they will have no common factor
https://twitter.com/fermatslibrary/status/1216350626055184385

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

Y comienza un nuevo año. Resultado de las resoluciones de diciembre:

- Escribir sobre Matemáticas [completo] ver post
- Escribir sobre Física [pendiente]
- Escribir sobre Historia de las Matemáticas [pendiente]
- Escribir sobre Historia de la Ciencia [pendiente]
- Estudiar blues en guitarra [completo]
- Estudiar dibujo/pintura [completo] evidencia

Sigo con las mismas resoluciones (espero esta vez escribir algo sobre curvas elípticas, sea historia o desarrollo):

- Escribir sobre Matemáticas
- Escribir sobre Física
- Escribir sobre Historia de las Matemáticas
- Escribir sobre Historia de la Ciencia
- Estudiar blues en guitarra
- Estudiar dibujo/pintura

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Rectangular Billiard
https://mobile.twitter.com/fermatslibrary/status/1208018727318544384

Almost all orbits of the Collatz map attain almost bounded values
https://arxiv.org/abs/1909.03562

Primer avance en décadas en un problema aparentemente imposible
https://elpais.com/elpais/2020/01/08/ciencia/1578499346_232520.html

Strassen Algorithm
https://en.wikipedia.org/wiki/Strassen_algorithm

Chaos Machine
https://twitter.com/henryseg/status/1215224040345960449

Science history: Al-Khwarizmi, master of maths
https://cosmosmagazine.com/mathematics/science-history-al-khwarizmi-master-of-maths

Facebook's AI mathematician can solve university calculus problems
https://www.newscientist.com/article/2228399-facebooks-ai-mathematician-can-solve-university-calculus-problems/

Mathematicians explain an uncertain law of physics
https://cosmosmagazine.com/physics/mathematicians-provide-explanation-for-an-uncertain-law-of-physics

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

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Folding a piece of paper into a ellipse
https://twitter.com/fermatslibrary/status/1202232094241501184

Mathematician Terence Tao and the Collatz conjecture
https://www.quantamagazine.org/mathematician-terence-tao-and-the-collatz-conjecture-20191211/

Here's a proof that e^π is transcendental
https://twitter.com/fermatslibrary/status/1206575467014348800

La conjetura ABC y el último teorema de Fermat
https://www.gaussianos.com/la-conjetura-abc-y-el-ultimo-teorema-de-fermat/

El teorema clausura complemento de Kuratowski
https://www.gaussianos.com/el-teorema-clausura-complemento-de-kuratowski/

The equation XAX=B is surprisingly simple to solve on the set of positive matrices
https://twitter.com/gabrielpeyre/status/1207541067756818434

El mapa de las matemáticas
https://www.gaussianos.com/el-mapa-de-las-matematicas/

The Suble Art of the Mathematical Conjecture
https://www.quantamagazine.org/the-subtle-art-of-the-mathematical-conjecture-20190507/

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez

En su libro The Principles of Mathematics, Bertrand Russel describe lo que considera matemáticas puras:

Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.

Es una definición seca, llevada a la base de toda la matemática pura, pero que deja afuera (o al menos lejos) a cantidad de ramas activas y fructíferas de las matemáticas, puras o no. Pero en aquellos años (1903 fue publicado por primera vez ese libro), Russel buscaba los fundamentos de la matemática, que habían entrado en cierta crisis (recordemos la crítica de Russel al libro sobre conjuntos y lógica de Frege). En su infancia, había encontrado en las matemáticas una roca firme, donde la verdad era clara, en medio quizás de un mundo humano cambiante. Pero para fines del siglo XIX, los fundamentos de las matemáticas no estaban claros ni firmes.

Desde entonces, se ha avanzado, y hoy, gran parte de los matemáticos no se preocupan de los fundamentos, sino del gran juego que es el pensamiento matemático. No lo hacen en general por ser arriesgados, mas bien los fundamentos de la matemática se han ido desarrollando en el siglo XX en varias ramas, desde una teoría de conjuntos más elaborada, hasta teoría de categorías, pasando por el formalismo de Hilbert,  los teoremas de Gödel y la evolución de la lógica matemáticas más allá de verdadero o falso. No es un tema que ha quedado abandonado, sino que sigue siendo bien atendido. Pero hay tantas ramas interesantes y activas, que muchos matemáticos simplemente descansan sobre los hombros de los colegas que se ocupan de los fundamentos.

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

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Rank of an elliptic curve
https://en.wikipedia.org/wiki/Rank_of_an_elliptic_curve

Mathematics
https://twitter.com/pickover/status/1213096691513122817

From sequences to nets
https://twitter.com/johncarlosbaez/status/1213165193703804929

Beal Conjecture
https://twitter.com/fermatslibrary/status/1213100462389547009

Subnet
https://en.wikipedia.org/wiki/Subnet_(mathematics)

An Essay towards solving a Problem in the Doctrine of Chance
https://en.wikipedia.org/wiki/An_Essay_towards_solving_a_Problem_in_the_Doctrine_of_Chances

Lo que considero lo mejor de 2019 en gaussianos
https://www.gaussianos.com/lo-que-yo-considero-lo-mejor-de-2019-en-gaussianos/

Decoding the ancient greek astronomical calculator known as the antikythera mechanism
https://fermatslibrary.com/s/decoding-the-ancient-greek-astronomical-calculator-known-as-the-antikythera-mechanism

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
https://twitter.com/ajlopez