Angel "Java" Lopez en Blog

Ya se está acabando el año. Antes de las resoluciones de noviembre, repaso de las de octubre:

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

Sigo con las mismas resoluciones:

- 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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Un punto que Newton encontraba irritante desde el primer borrador de De Motu, es que había despreciado la influencia de los planetas sobre el Sol. Para un espíritu como Newton, que aspiraba a la perfección de su exposición, era un tema molesto. Cuando volvió al asunto antes de la publicación de los Principia, partió de la idea del Sol como centro de fuerza de todo el sistema solar. Pero al revisar sus ideas, llegó a la conclusión que no es la única influencia: así como el Sol atrae a la Tierra, TAMBIEN la Tierra atrae al Sol, y con la misma fuerza. La Tierra no gira alrededor del Sol, sino que ambos giran alrededor del centro de masa del sistema binario que conforman. Llegó a esta conclusión al conciliar la gravitación con su propia tercera ley de movimiento: "las acciones de los cuerpos que atraen y que son atraídos son siempre mutuas e iguales". Por consiguiente, agregó: "si hay dos cuerpos que atraen ni el cuerpo que atrae ni el cuerpo que es atraído pueden estar en reposo". Esto hace de la gravitación una fuerza universal. La misma lógica Sol-Tierra se puede aplicar a Júpiter y sus satélites, o a la Tierra y la ejemplar manzana. La conclusión es realmente simple: sólo hay una fuerza de gravitación, no importa el material o la magnitud de los cuerpos involucrados. Fue el primer paso para entender el Universo como conjunto. Esto satisfizo a Newton, y los Principia (510 páginas en latín) fueron publicados en julio de 1687.

Fuente consultada para los textos de arriba: el libro de Mario Livio, "¿Es Dios un Matemático?".

Nos leemos!

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

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The Ramanujan Machine
https://twitter.com/johncarlosbaez/status/1146479401367789574
https://arxiv.org/abs/1907.00205

Random Permutations and Euler’s Constant
https://twitter.com/johncarlosbaez/status/1146811034956492802
https://arxiv.org/abs/1303.1856
EULER HISTORY RIEMANN

Qué es la teoría de categorías y cómo se ha convertido en tendencia
https://elpais.com/elpais/2019/11/06/ciencia/1573042148_224789.html

A beautiful mathematical coincidence
https://twitter.com/fermatslibrary/status/1147133534555054080

The Riemann Hypothesis and Euler’s Constant
https://twitter.com/johncarlosbaez/status/1147166303066607616

Category-theoretic treatment of diffs, patches and merging?
https://cstheory.stackexchange.com/questions/44211/category-theoretic-treatment-of-diffs-patches-and-merging

Un matemático ruso desmiente una conjetura con más de medio siglo de vida
https://elpais.com/elpais/2019/07/01/ciencia/1561975026_683783.html

Abel lectures at the University of Oslo
https://www.abelprize.no/nyheter/vis.html?tid=74319

Nos leemos!

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

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Long-Lived Stellar Blast Kindles Hope of a Supernova We’ve Never Seen Before
https://www.quantamagazine.org/long-lived-stellar-blast-kindles-hope-of-a-pair-instability-supernova-20190912/

Two neutron stars collided near the solar system billions of years ago
https://phys.org/news/2019-05-neutron-stars-collided-solar-billions.html

The Sun Is Stranger Than Astrophysicists Imagined
https://www.quantamagazine.org/gamma-ray-data-reveal-surprises-about-the-sun-20190501
/

Quantum Supremacy Using a Programmable Superconducting Processor
https://drive.google.com/file/d/19lv8p1fB47z1pEZVlfDXhop082Lc-kdD/view
https://drive.google.com/file/d/1-7_CzhOF7wruqU_TKltM2f8haZ_R3aNb/view

Planet WASP-12b Might Be on a Death Spiral into its Parent Star
https://www.skyandtelescope.com/astronomy-news/planet-wasp-12b-death-spiral/

Evidence Found for a New Fundamental Particle
https://www.quantamagazine.org/evidence-found-for-a-new-fundamental-particle-20180601/

Are We All Wrong About Black Holes?
https://www.quantamagazine.org/craig-callender-are-we-all-wrong-about-black-holes-20190905/

Strange Metal-like Bonds Discovered in Customized Crystals
https://www.quantamagazine.org/strange-metal-like-bonds-discovered-in-colloidal-crystals-20190903

Nos leemos!

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

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To Invent a Quantum Internet
https://www.quantamagazine.org/stephanie-wehner-is-designing-a-quantum-internet-20190925/

Google AI Quantum vence la carrera hacia la supremacía cuántica con Sycamore (53 cúbits)
https://francis.naukas.com/2019/09/23/google-ai-quantum-vence-la-carrera-hacia-la-supremacia-cuantica-con-sycamore-53-cubits/

Google"s "Quantum Supremacy" Isn"t the End of Encryption
https://www.wired.com/story/googles-quantum-supremacy-isnt-end-encryption/

Missing Galaxies? Now There"s Too Many
https://www.quantamagazine.org/the-problem-of-the-missing-satellite-galaxies-gives-way-now-theres-too-many-20190109/

Artificial Intelligence Takes On Earthquake Prediction
https://www.quantamagazine.org/artificial-intelligence-takes-on-earthquake-prediction-20190919/

This Is Why Neutrinos Are The Standard Model's Greatest Puzzle
https://www.forbes.com/sites/startswithabang/2019/09/17/this-is-why-neutrinos-are-the-standard-models-greatest-puzzle/

Computers and Humans "See" Differently. Does It Matter?
https://www.quantamagazine.org/computers-and-humans-see-differently-does-it-matter-20190917

How Holography Could Help Solve Quantum Gravity
https://www.quantamagazine.org/albert-einstein-holograms-and-quantum-gravity-20181114/

Nos leemos!

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

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Demostración sin palabras de la fórmula para calcular el área de un círculo
https://www.gaussianos.com/demostracion-sin-palabras-de-la-formula-para-calcular-el-area-de-un-circulo/

R.W. Floyd, L. Steinberg, An adaptive algorithm for spatial grey scale, 1976
https://twitter.com/gabrielpeyre/status/1145195328922148864

Harmonic Numbers
https://twitter.com/johncarlosbaez/status/1145374455037718528

This is a really juicy result on random permutations
https://twitter.com/johncarlosbaez/status/1146103560339197952

Random Surfaces Hide an Intricate Order
https://www.quantamagazine.org/random-surfaces-hide-an-intricate-order-20190702/

The significance and acceptance of Helfgott"s proof of the weak Goldbach Conjecture
https://math.stackexchange.com/questions/3164020/the-significance-and-acceptance-of-helfgott-s-proof-of-the-weak-goldbach-conject/3181521?stw=2#3181521

Notas de Análisis Real
http://mate.dm.uba.ar/~pdenapo/apuntes-analisis-real/notas_de_real.pdf

Gray Code
https://en.wikipedia.org/wiki/Gray_code

Nos leemos!

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

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

Self-referentiality
https://twitter.com/johncarlosbaez/status/1141376710551601152

Eigenvalues of the Laplace Operator in Certain Manifolds
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC300113/pdf/pnas00178-0006.pdf
https://twitter.com/AnalysisFact/status/1142092456370065408

It"s possible to build a Turing machine within Magic: The Gathering
https://arstechnica.com/science/2019/06/its-possible-to-build-a-turing-machine-within-magic-the-gathering/

Using food to make maths more digestible
https://digitalmedia.sheffield.ac.uk/channel/Using%2Bfood%2Bto%2Bmake%2Bmaths%2Bmore%2Bdigestible/70163431

The Universe Speaks in Numbers – Interview 12: Robbert Dijkgraaf
https://grahamfarmelo.com/the-universe-speaks-in-numbers-interview-12/

The Heidelberg Laureate Forum Foundation presents the HLF Portraits: Karen Keskulla Uhlenbeck
https://www.youtube.com/watch?v=Ye0AYmEMPN4

POCS, Dykstra and DR often succeed in finding points in the intersection of possibly non-convex sets
https://twitter.com/gabrielpeyre/status/1144108136565018624

Nos leemos!

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

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Circunferencias concéntricas y polígonos regulares inscriptos
https://www.gaussianos.com/circunferencias-concentricas-y-poligonos-regulares-inscritos/

In certain situations integration comes down to taking infinitely many derivatives and summing
https://twitter.com/SamuelGWalters/status/1140115031696130049

Euler showed that this was the only solution
https://twitter.com/fermatslibrary/status/1185906266813730817

Mathematicians Begin to Tame Wild "Sunflower" Problem
https://www.quantamagazine.org/mathematicians-begin-to-tame-wild-sunflower-problem-20191021/

La paradoja de Galton
https://twitter.com/pgroisma/status/1186776464160673797

Newton"s minimal resistance problem
https://en.wikipedia.org/wiki/Newton%27s_minimal_resistance_problem

Where Proof, Evidence and Imagination Intersect
https://www.quantamagazine.org/where-proof-evidence-and-imagination-intersect-in-math-20190314/

A 53-Year-Old Network Coloring Conjecture Is Disproved
https://www.quantamagazine.org/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/

Nos leemos!

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

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Why the Proof of Fermat"s Last Theorem Doesn"t Need to Be Enhanced
https://www.quantamagazine.org/why-the-proof-of-fermats-last-theorem-doesnt-need-to-be-enhanced-20190603

Whoever told you 13 was unlucky was lying to you..
https://twitter.com/InertialObservr/status/1135619751185534976

Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
https://arxiv.org/abs/1709.00448

Mathematicians on Twitter
https://truesciphi.org/mat.html

Why the World"s Best Mathematicians Are Hoarding Chalk
https://www.youtube.com/watch?v=PhNUjg9X4g8

Overlooked No More: Alan Turing, Condemned Code Breaker and Computer Visionary
https://www.nytimes.com/2019/06/05/obituaries/alan-turing-overlooked.html

Public interview with Karen Uhlenbeck and Ionica Smeets at Det Norske Teatret
https://www.abelprize.no/artikkel/vis.html?tid=74378

A Mathematician Whose Only Constant Is Change
https://www.quantamagazine.org/amie-wilkinsons-only-constant-is-change-20190613/
Amie Wilkinson searches for exotic examples of the mathematical structures that describe change

Nos leemos!

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

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Undecidability of the Spectral Gap
https://arxiv.org/pdf/1502.04573.pdf

Cables, Trains and Types
http://www.dcs.gla.ac.uk/~simon/publications/CablesTrainsTypes.pdf

Mathematicians discover the perfect way to multiply
https://www.quantamagazine.org/mathematicians-discover-the-perfect-way-to-multiply-20190411

This is not a typo
https://twitter.com/InertialObservr/status/1134896870847799296

Searching for singularities in the Navier–Stokes equations
https://www.nature.com/articles/s42254-019-0068-9

Untouchable numbers
https://twitter.com/d_r_o_n_e/status/1183747108882599938

How does the blue area compare to the yellow area?
https://twitter.com/brilliantorg/status/1183729417492844546

This equality holds for *all* real numbers N,M
https://twitter.com/InertialObservr/status/1135274764174368769

Nos leemos!

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

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How to almost win the physics Nobel
https://physicstoday.scitation.org/do/10.1063/PT.5.9069/full/

Nine Nobel Prize Predictions for 2019
https://www.insidescience.org/news/nine-nobel-prize-predictions-2019

Nobel physicists on the move
https://physicstoday.scitation.org/do/10.1063/PT.6.4.20180925a/full/

Nobel laureates are almost the same as us
https://www.nature.com/articles/s42254-019-0057-z

Por primera vez, detectan agua en la atmósfera de una supertierra "potencialmente habitable"
https://www.clarin.com/sociedad/primera-vez-detectan-agua-atmosfera-exoplaneta-potencialmente-habitable-_0_tfSNj8Pl5.html

Math Reveals the Secrets of Cells" Feedback Circuitry
https://www.quantamagazine.org/math-reveals-the-secrets-of-cells-feedback-circuitry-20190918/

Google claims to have reached quantum supremacy
https://www.ft.com/content/b9bb4e54-dbc1-11e9-8f9b-77216ebe1f17

Google Claims 'Quantum Supremacy' with 53-Qubits
https://www.tomshardware.com/news/google-quantum-supremacy-53-qubits,40452.html

Nos leemos!

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

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Mathematicians edge closer to solving 'million dollar' math problem
https://www.foxnews.com/science/mathematicians-edge-closer-to-solving-million-dollar-math-problem

Descubierta una nueva propiedad de los números primos gracias a The Big Bang Theory
https://www.investigacionyciencia.es/noticias/descubierta-una-nueva-propiedad-de-los-nmeros-primos-gracias-a-em-the-big-bang-theory-em-17522

Beautiful relation between π and the Fibonacci sequence
https://twitter.com/InertialObservr/status/1133825262955589632

Peano arithmetic and murky abyss
https://twitter.com/johncarlosbaez/status/1134546799396499456

Point estimators
https://twitter.com/gabrielpeyre/status/1182883594131464192

Outline of Algebraic Structures
https://en.wikipedia.org/wiki/Outline_of_algebraic_structures

El teorema de Morley
https://www.gaussianos.com/el-teorema-de-morley/

Spectral Methods in the Presence of Discontinuities
https://arxiv.org/pdf/1712.09952.pdf

Nos leemos!

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

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Comment on D. Bernoulli (1738)
https://www.researchers.one/article/2019-05-1

Fractional Calculus
https://twitter.com/InertialObservr/status/1131975502103629824

G2 smallest exceptional Lie group
https://twitter.com/RAnachro/status/1129102062745280512
https://arxiv.org/abs/1205.2447
https://en.wikipedia.org/wiki/G2_%28mathematics%29
https://en.wikipedia.org/wiki/Contact_geometry
https://en.wikipedia.org/wiki/Real_projective_plane
https://en.wikipedia.org/wiki/Projective_plane
https://en.wikipedia.org/wiki/Cross-cap
http://math.ucr.edu/home/baez/ball/index.html

Fracción continua o cual es la mejor aproximación
https://www.gaussianos.com/fraccion-continua-o-cual-es-la-mejor-aproximacion/

What happens if we drop the axiom of infinity?
https://twitter.com/johncarlosbaez/status/1132730816935497728
https://diagonalargument.com/2019/05/17/non-standard-models-of-arithmetic-8/

Rubik's Cube inventor Erno Rubik breaks down the math behind the iconic toy
https://twitter.com/mashable/status/1133072122916425728

Algebraic Numbers
https://twitter.com/InertialObservr/status/1133046675147067397

A mathematician explores the cat-and-mouse problem
https://boingboing.net/2019/05/28/a-mathematician-explores-the-c.html

Nos leemos!

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

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Awesome Applied Category Theory
https://github.com/statebox/awesome-applied-category-theory

Erróneo rotundamente
https://www.gaussianos.com/erroneo-rotundamente/

The Cantor set
https://twitter.com/wtgowers/status/1170704178752217089

With Category Theory, Mathematics Escapes From Equality
https://www.quantamagazine.org/with-category-theory-mathematics-escapes-from-equality-20191010/

Higher Algebra
https://ncatlab.org/nlab/show/Higher+Algebra
http://www.math.harvard.edu/~lurie/papers/HA.pdf

Alexander Grothendieck (1928–2014)
https://www.nature.com/articles/517272a

A survey of (\infty, 1)-categories
https://arxiv.org/abs/math/0610239

Fun Integral
https://twitter.com/InertialObservr/status/1180594056876789761

Nos leemos!

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

Se acerca el fin de año. Revisión de las resoluciones del mes pasado:

- Escribir sobre Matemáticas [parcial] ver repo
- 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!

Nos leemos!

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

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What is Applied Category Theory?
https://arxiv.org/pdf/1809.05923.pdf

Time for another story
https://twitter.com/robinhouston/status/1180417397913718784

Want to Find the Best Parking Spot? Do the Math
https://www.wired.com/story/find-the-best-parking-spot-do-math/

What is an Adjunction? Part 3 (Examples)
https://www.math3ma.com/blog/what-is-an-adjunction-part-3

A formal proof of the independence of the continuum hypothesis
https://github.com/flypitch/flypitch/releases

How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
https://scirate.com/arxiv/1905.09749

The Two Cultures of Mathematics
https://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf

La circunferencia de Conway
https://www.gaussianos.com/la-circunferencia-de-conway/

Nos leemos!

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

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Solution: "The Bulldogs That Bulldogs Fight"
https://www.quantamagazine.org/math-puzzle-solution-the-joy-of-recursion-20190516

On studying mathematics
https://vnhacker.blogspot.com/2019/08/why-studying-mathematics.html

Combining this idea (optics=combs) with this other idea (ML tasks=combs)
https://twitter.com/davidad/status/1180065168690049025

Smoothing splines
https://twitter.com/gabrielpeyre/status/1179984490338254849

String Diagrams for Assembly Planning
https://arxiv.org/abs/1909.10475

Non-standard Models of Arithmetic 7
https://diagonalargument.com/2019/05/17/non-standard-models-of-arithmetic-7-2/

How Geometry, Data and Neighbors Predict Your Favorite Movies
https://www.quantamagazine.org/how-geometry-data-and-neighbors-predict-your-favorite-movies-20190522

La sorprendende criba de la parábola
https://www.gaussianos.com/la-sorprendente-criba-de-la-parabola/

Nos leemos!

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

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Build your own probability monads
http://www.randomhacks.net/files/build-your-own-probability-monads.pdf

Video Explicando con Música la Aritmética Modular
https://www.gaussianos.com/video-explicando-con-musica-la-aritmetica-modular/

Integral Geometry
https://en.wikipedia.org/wiki/Integral_geometry

In 1666, Newton determined π to 16 places using 22 terms of this series
https://twitter.com/fermatslibrary/status/1177920899468709888

On Your Mark, Get Set, Multiply
https://www.quantamagazine.org/the-math-behind-a-faster-multiplication-algorithm-20190923

Este juego tiene ganancia esperada infinita. ¿Cuánto pagarías por jugar? 
https://www.gaussianos.com/este-juego-tiene-ganancia-esperada-infinita-cuanto-pagarias-por-jugar/

What is an Adjunction? Part 2 (Definition)
https://www.math3ma.com/blog/what-is-an-adjunction-part-2

El Cubo de Ruperto
https://www.gaussianos.com/el-cubo-de-ruperto-o-cual-es-el-cubo-de-mayor-tamano-que-puede-atravesar-a-otro-cubo/

Nos leemos!

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

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Demostrando Irracionalidad
https://www.gaussianos.com/demostrando-irracionalidad/

Límites de funciones exponenciales
https://www.youtube.com/watch?v=2miNxvO8xd4&feature=youtu.be

Thinking about sheaves of open games
https://twitter.com/_julesh_/status/1177267665305579520

Catalan-Mersenne Sequence
https://twitter.com/InertialObservr/status/1177292546973679616

Big Question About Primes Proved in Small Number Systems
https://www.quantamagazine.org/big-question-about-primes-proved-in-small-number-systems-20190926/

Solution: "Perfect Randomness"
https://www.quantamagazine.org/math-puzzle-solution-perfect-randomness-20190927/

Quick method to calculate the square root of a number (√y) by hand
https://twitter.com/fermatslibrary/status/1177196132663009280

Cuándo y cómo usar Integración por Partes: la regla de los ALPES (y otras ayudas mnemotécnicas)
https://www.gaussianos.com/cuando-y-como-usar-integracion-por-partes-la-regla-de-los-alpes-y-otras-ayudas-mnemotecnicas/

Nos leemos!

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

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La circunferencia perfecta a mano alzada
https://www.gaussianos.com/la-circunferencia-perfecta-a-mano-alzada/

The answer to life, the universe, and everything
http://news.mit.edu/2019/answer-life-universe-and-everything-sum-three-cubes-mathematics-0910
Mathematics researcher Drew Sutherland helps solve decades-old sum-of-three-cubes puzzle, with help from "The Hitchhiker's Guide to the Galaxy."

Out of a Magic Math Function, One Solution to Rule Them All
https://www.quantamagazine.org/universal-math-solutions-in-dimensions-8-and-24-20190513/

An equilateral triangle is inscribed in a circle, and another circle is inscribed in the triangle
https://twitter.com/brilliantorg/status/1175394343110291458
How do the blue and green areas compare?

In 8 dimensions, the E8 lattice minimizes energy for every potential that's a "completely monotonic" function of squared distance.  The Leech lattice does the same in 24 dimensions!
https://twitter.com/johncarlosbaez/status/1127972188487733257

Universal optimality of the E8 and Leech lattices and interpolation formulas
https://arxiv.org/abs/1902.05438

Goro Shimura, 89, Mathematician With Broad Impact, Is Dead
https://www.nytimes.com/2019/05/13/obituaries/goro-shimura-dead.html

The Prime Spiral Sieve
https://www.primesdemystified.com/

Nos leemos!

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