Angel "Java" Lopez en Blog

Se termina el año. Repaso de las resoluciones del mes anterior:

- 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

Las resoluciones para el 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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Why mathematicians just can’t quit their blackboards
https://www.theguardian.com/artanddesign/2019/oct/12/mathematicians-blackboards-academics-photographer-jessica-wynne-do-not-erase

Villani and Ávila: Two Men that Count
https://news.cnrs.fr/articles/villani-and-avila-two-men-that-count

A Different Way to Solve Quadratic Equations
https://www.youtube.com/watch?v=ZBalWWHYFQc

“Para hacer matemáticas no hace falta ser un bicho raro”
https://elpais.com/elpais/2019/11/25/ciencia/1574678450_142554.html

How Randomness Can Arise From Determinism
https://www.quantamagazine.org/how-randomness-can-arise-from-determinism-20191014/

The Mandelbulb
https://twitter.com/Rainmaker1973/status/1184424960523227137

Three number systems
https://twitter.com/johncarlosbaez/status/1184492139897507840

The Laplace Transform
https://archive.org/details/in.ernet.dli.2015.201038

Nos leemos!

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

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El sentido de la vida, el universo y todo lo demás… resuelven x³+y³+z³ = 42
https://francis.naukas.com/2019/09/07/el-sentido-de-la-vida-el-universo-y-todo-lo-demas-resuelven-x³y³z³-42/

Fourier was trying to do something completely unrelated when he stumbled on Fourier series
https://twitter.com/AlexKontorovich/status/1171519369089667072

El "icónico" número 42 ya se sabe expresar como de tres cubos enteros
https://www.gaussianos.com/el-iconico-numero-42-ya-se-sabe-expresar-como-suma-de-tres-cubos-enteros/

Enumerative Geometry Genealogy (Or The Sex Life of Points and Lines)
https://twitter.com/johncarlosbaez/status/1179135794478321664

La conjetura de Steinberg es falsa
https://www.gaussianos.com/la-conjetura-de-steinberg-es-falsa/

Outside In, Turning Number
https://www.youtube.com/watch?v=wO61D9x6lNY

Sphere Eversion
https://en.wikipedia.org/wiki/Sphere_eversion

The Lambda Calculus is Algebraic
https://www.mscs.dal.ca/~selinger/papers/combinatory.pdf

Nos leemos!

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

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Mathematicians Catch a Pattern by Figuring Out How to Avoid It
https://www.quantamagazine.org/mathematicians-catch-a-pattern-by-figuring-out-how-to-avoid-it-20191125/

Applied Category Theory (@ MIT 2019)
https://www.youtube.com/playlist?list=PLhgq-BqyZ7i5lOqOqqRiS0U5SwTmPpHQ5

The Tautochrone is a cycloid curve.
https://twitter.com/fermatslibrary/status/1168147502081687553

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

Mean Field Theory
https://en.wikipedia.org/wiki/Mean_field_theory

Maths in Philosophy
https://medium.com/@alexanderdouglas/maths-in-philosophy-b2e807edf045

I hope you will enjoy this integral as much as I did
https://twitter.com/InertialObservr/status/1199567675095052288

42 como suma de tres cubos, gracias a Andrew Booker (Univ. Bristol) y Andrew Sutherland (MIT), 6 sep 2019
https://twitter.com/emulenews/status/1170087665850601479

Nos leemos!

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

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El borde de la Isla Browniana tiene dimensión 4/3
https://twitter.com/pgroisma/status/1162164240922398720

J. E. Mills noted that many products and quotients of fundamental constants have values very close to the number 3 multiplied by a power of 10
https://twitter.com/fermatslibrary/status/1162338473581449217

Crossing fields
https://www.symmetrymagazine.org/article/crossing-fields-karen-uhlenbeck

Maths and tech specialists need Hippocratic oath, says academic
https://www.theguardian.com/science/2019/aug/16/mathematicians-need-doctor-style-hippocratic-oath-says-academic-hannah-fry

The Fibonacci sequence and linear algebra
https://www.r-bloggers.com/the-fibonacci-sequence-and-linear-algebra/

Visualizing the Fractional Derivatives of sin(x)
https://twitter.com/InertialObservr/status/1163906009804365824

Los puzzles matemáticos de superficies de Naoki Inaba
https://www.microsiervos.com/archivo/puzzles-y-rubik/puzzles-superficies-naoki-inaba.html

Limits of bimorphic lenses
https://arxiv.org/abs/1808.05545

Nos leemos!

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

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Study shows we like our math like we like our art: beautiful
https://news.yale.edu/2019/08/07/study-shows-we-our-math-we-our-art-beautiful

Nuevas Pruebas de Viejos Teoremas
https://perlitasmatematicas.wordpress.com/2014/11/21/nuevas-pruebas-de-viejos-teoremas/

Accurate and Infinite Prime Prediction from Novel Quasi-Prime Analytical Methodology
https://arxiv.org/abs/1903.08570

Leibniz, Euler and derivative notation
https://twitter.com/fermatslibrary/status/1160526285568905221

Color Me Polynomial
https://www.quantamagazine.org/color-me-polynomial-20190813/

Situación de las raíces de la derivada o el teorema más maravillos de las matemáticas
https://www.gaussianos.com/situacion-de-las-raices-de-la-derivada-o-el-teorema-mas-maravilloso-de-las-matematicas/

New Proof Settles How to Approximate Numbers Like Pi
https://www.quantamagazine.org/new-proof-settles-ancient-question-of-how-to-simplify-numbers-like-pi-20190814/

Nos leemos!

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

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El Análisis Matemático en Buenos Aires 1827
https://twitter.com/pgroisma/status/1196120808097243143

Here"s a cool instance of the Banach fixed-point theorem
https://twitter.com/fermatslibrary/status/1155098262505959425

If you write down the digits of e you quickly find a 649 digit prime
https://twitter.com/fermatslibrary/status/1156540146159951874

Abstract Interpretation Lobster
https://twitter.com/i/moments/1156326563853586438

A neat integral relating π and the golden ratio φ
https://twitter.com/InertialObservr/status/1158136044992126976

La explicación (espero que) definitiva sobre la expresión «viral» 8:2(2+2)
https://www.gaussianos.com/la-explicacion-espero-que-definitiva-sobre-la-expresion-viral-8222/

Balls in 24 dimensions
https://twitter.com/johncarlosbaez/status/1158747743205990400

For positive integer n, f(n) = 2^(2^(n+1)) + 2^(2^n) + 1 has at least n+1 distinct prime factors
https://twitter.com/AlgebraFact/status/1159480677877915648
http://www.cut-the-knot.org/proofs/InfinitudeOfPrimesViaPowersOfTwo.shtml

Nos leemos!

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

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Grigory Perelman, premiado con un millón de dólares por el Instituto Clay
https://www.gaussianos.com/griory-perelman-premiado-con-un-millon-de-dolares-por-el-instituto-clay/

Joseph Fourier
https://en.wikipedia.org/wiki/Joseph_Fourier

When rolling an oloid in straight line, all its surface touches the ground
https://twitter.com/gabrielpeyre/status/1154979784923013121

Galois Connection
https://en.wikipedia.org/wiki/Galois_connection

History of Lambda-calculus and Combinatory Logic
http://wadler.blogspot.com/2008/06/history-of-lambda-calculus-and.html

A New Book Examines the Relationship between Math and Physics
https://www.scientificamerican.com/article/a-new-book-examines-the-relationship-between-math-and-physics/

En memoria de Alan Turing
https://www.gaussianos.com/en-memoria-de-alan-turing/

J. Hammersley, The zeros of a random polynomial, 1956
https://twitter.com/gabrielpeyre/status/1158241298303901696
http://math.iisc.ernet.in/~manju/GAF_book.pdf

Nos leemos!

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

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Structured Cospans
https://arxiv.org/abs/1911.04630

Fisher–Tippett–Gnedenko theorem
https://twitter.com/gabrielpeyre/status/1150993526345347073

Mathematicians Calculate How Randomness Creeps In
https://www.quantamagazine.org/mathematicians-calculate-how-randomness-creeps-in-20191112/

Paco Gancedo Nos Habla Sobre "Singularidades en las Ecuaciones de Euler"
https://www.gaussianos.com/paco-gancedo-nos-habla-sobre-singularidades-en-la-ecuaciones-de-euler/

Gromov–Hausdorff convergence
https://en.wikipedia.org/wiki/Gromov%E2%80%93Hausdorff_convergence

Teorema de la Amistad
https://twitter.com/pgroisma/status/1152644979912839168
https://www.sciencedirect.com/science/article/pii/1385725872900637

Decades-Old Computer Science Conjecture Solved in Two Pages
https://www.quantamagazine.org/mathematician-solves-computer-science-conjecture-in-two-pages-20190725/
https://twitter.com/BooleanAnalysis/status/1145837576487612416

There is no regular pentagon in the integer lattice
https://twitter.com/JDHamkins/status/1154516551724388352

Nos leemos!

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

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Ingrid Daubechies
https://fr.wikipedia.org/wiki/Ingrid_Daubechies

Anna Barbara Reinhart, matemática
https://mujeresconciencia.com/2017/07/12/anna-barbara-reinhart-matematica/

Poincare Reflections
http://vigeland.caltech.edu/ist4/lectures/Poincare%20Reflections.pdf

Challenge to Riemann Hypothesis
https://twitter.com/johncarlosbaez/status/1149700802371608576

In 1939, L. E. Dickson proved that all positive integers can be represented as the sum of at most 9 positive cubes.
https://twitter.com/fermatslibrary/status/1149661187690266628
Interestingly, only two numbers exist that require all 9 cubes: 23 and 239

Connectivity and finiteness in modal graph logic
https://11011110.github.io/blog/2019/07/13/connectivity-finiteness-modal.html

Discrete Fourier Transform
https://en.wikipedia.org/wiki/Discrete_Fourier_transform

On the difficulty of proving P equals NP in ZFC
https://arxiv.org/abs/1907.11707v2

Nos leemos!

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

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