Angel "Java" Lopez en Blog

Matemáticas


Publicado el 17 de Julio, 2019, 11:33

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Un paseo matemático por la Alhambra: cuando el arte se basa en los números
https://www.xataka.com/especiales/paseo-matematico-alhambra-cuando-arte-se-basa-numeros

Composiciones de números y números de Fibonacci
https://www.gaussianos.com/composiciones-de-numeros-y-numeros-de-fibonacci/

Marshall Harvey Stone
http://www-history.mcs.st-and.ac.uk/history/Biographies/Stone.html

Leopold Vietoris: ¿el matemático más longevo de la historia?
https://www.gaussianos.com/leopold-vietoris-%C2%BFel-matematico-mas-longevo-de-la-historia/

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

Stein's lemma
https://en.wikipedia.org/wiki/Stein's_lemma

Mathematicians Discover the Perfect Way to Multiply
https://www.wired.com/story/mathematicians-discover-the-perfect-way-to-multiply/

Sin raíces racionales
https://www.gaussianos.com/sin-raices-racionales/

Nos leemos!

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

Publicado el 16 de Julio, 2019, 13:36

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π to the power of π
https://twitter.com/fermatslibrary/status/1113416612198133761

Los tesoros matemáticos que esconde el triángulo de Pascal
https://www.gaussianos.com/los-tesoros-matematicos-que-esconde-el-triangulo-de-pascal-nuevo-articulo-en-el-aleph/

Usain Bolt"s Split Times and the Power of Calculus
https://www.quantamagazine.org/infinite-powers-usain-bolt-and-the-art-of-calculus-20190403

El error FDIV
https://www.gaussianos.com/el-error-fdiv/

Using computers to crack open centuries-old mathematical puzzles
http://theconversation.com/using-computers-to-crack-open-centuries-old-mathematical-puzzles-112940

The mathematics of hill walking
https://cosmosmagazine.com/mathematics/the-mathematics-of-hill-walking

Términos positivos de la sucesión
https://www.gaussianos.com/terminos-positivos-de-la-sucesion/

Miguel Walsh
https://es.wikipedia.org/wiki/Miguel_Walsh

Nos leemos!

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

Publicado el 14 de Julio, 2019, 12:56

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Burgers' equation
https://en.wikipedia.org/wiki/Burgers'_equation

Overview of differential equations | DE1
https://www.youtube.com/watch?v=p_di4Zn4wz4&feature=youtu.be

Demostración topológica de la infinitud de los números primos
https://www.gaussianos.com/demostracion-topologica-de-la-infinitud-de-los-numeros-primos/

Matroids over Hyperfields, Part I
https://mattbaker.blog/2016/03/10/matroids-over-hyperfields-part-i/

Matroids over Hyperfields, Part II
https://mattbaker.blog/2016/03/17/matroids-over-hyperfields-part-ii/

Lo mejor de 2008 en Gaussianos
https://www.gaussianos.com/lo-que-yo-considero-lo-mejor-de-2008-en-gaussianos/

Beth number
https://en.wikipedia.org/wiki/Beth_number

The Ramanujan Machine
http://www.ramanujanmachine.com/

Nos leemos!

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

Publicado el 13 de Julio, 2019, 14:28

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A Brief Guide to A Few Algebraic Structures
https://argumatronic.com/posts/2019-06-21-algebra-cheatsheet.html

Confirmado el descubrimiento del primo de Mersenne número 51
https://www.gaussianos.com/confirmado-el-descubrimiento-del-primo-de-mersenne-numero-51/

La notación poligonal de Steinhaus-Moser: números enormes con muy pocos símbolos
https://www.gaussianos.com/la-notacion-poligonal-de-steinhaus-moser-numeros-enormes-con-muy-pocos-simbolos

Futurama y las matemáticas I
https://www.gaussianos.com/futurama-y-las-matematicas-i/

All the bearings are moving in a straight line!!!
https://www.reddit.com/r/interestingasfuck/comments/b796b0/all_the_bearings_are_moving_in_a_straight_line/

New Proofs of Euclid"s and Euler"s Theorems
http://mate.dm.uba.ar/~jpinasco/pre/jpp-amm.pdf

TwitterProofs
https://twitter.com/aguscugno/status/1112707880715763712

William Sealy Gosset, el cervecero que revolucionó la Estadística
http://www.madrimasd.org/blogs/matematicas/2019/04/01/146390

Nos leemos!

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

Publicado el 23 de Junio, 2019, 12:12

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Nuevo récord de cálculo de decimales de Pi: Llegamos a los 10 billones
https://www.gaussianos.com/nuevo-record-de-calculo-de-decimales-de-pi-llegamos-a-los-10-billones/

Sum-of-Three-Cubes Problem Solved for "Stubborn" Number 33
https://www.quantamagazine.org/sum-of-three-cubes-problem-solved-for-stubborn-number-33-20190326

A Mathematician Who Decodes the Patterns Stamped Out by Life
https://www.quantamagazine.org/a-mathematician-who-decodes-the-patterns-stamped-out-by-life-20171220/

Proof Finds That All Change Is a Mix of Order and Randomness
https://www.quantamagazine.org/math-proof-finds-all-change-is-mix-of-order-and-randomness-20190327

Is ππ rational or irrational?
https://www.quora.com/Is-pi-pi-rational-or-irrational

Conjugación compleja
https://twitter.com/cienciabrujula/status/1111000294022934528

El teorema de Holditch, un resultado geométrico inesperado
https://www.gaussianos.com/el-teorema-de-holditch-un-resultado-geometrico-inesperado/

Normalising Quantum Circuits
https://golem.ph.utexas.edu/category/2019/03/normalising_quantum_circuits.html

Nos leemos!

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

Publicado el 22 de Junio, 2019, 10:54

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Karen K. Uhlenbeck, Premio Abel 2019
https://francis.naukas.com/2019/03/22/karen-k-uhlenbeck-premio-abel-2019/

Meet Karen Uhlenbeck, the First Woman to Ever Win the "Nobel Prize of Math"
https://www.glamour.com/story/karen-uhlenbeck-abel-prize-first-woman-math

Premio al mejor post de la Edición 9.4: «Regla y compás» del Carnaval de Matemáticas
https://www.gaussianos.com/premio-al-mejor-post-de-la-edicion-9-4-regla-y-compas-del-carnaval-de-matematicas/

A fractal impossible object, packed with impossibility at multiple scales!
https://threadreaderapp.com/thread/1109491970534187008.html
https://twitter.com/johncarlosbaez/status/1109491970534187008
https://www.deviantart.com/nydhalo/art/When-Penrose-meets-Sierpinski-136342456

The Kantorovich Monad
https://golem.ph.utexas.edu/category/2019/03/the_kantorovich_monad.html

Monads, partial evaluations, and rewriting
https://arxiv.org/abs/1810.06037

Todo primo congruente con 1 módulo 4 es suma de dos cuadrados
https://www.gaussianos.com/todo-primo-congruente-con-1-modulo-4-es-suma-de-dos-cuadrado/

Unifying theory: Controversy with category theorists
http://www.oliviacaramello.com/Unification/InitiativeOfClarificationResults.html

Nos leemos!

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

Publicado el 21 de Junio, 2019, 15:16

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This ancient tablet can do trigonometry
https://twitter.com/evankirstel/status/1097308797335425024

The Map of Mathematics
https://twitter.com/zoresvit/status/1106659022176813056

Here's a 1,400 years old approximation to the sine function (0 ≤ x ≤ π) by Mahabhaskariya of Bhaskara I
https://twitter.com/fermatslibrary/status/1107255514310811648

Pure maths in crisis?
https://plus.maths.org/content/pure-maths-crisis

Founder of geometric analysis honored with Abel Prize
https://www.sciencemag.org/news/2019/03/founder-geometric-analysis-honored-abel-prize

Olimpiada Matemática de Baleares 2013 – Problema 6
https://www.gaussianos.com/olimpiada-matematica-de-baleares-2013-problema-6/

In 2002, Boris Gourevitch found the following formula for 1/π³ using integer relations algorithms.
https://twitter.com/fermatslibrary/status/1108718910159970304

Karen Uhlenbeck, Premio Abel 2019
https://www.gaussianos.com/karen-uhlenbeck-premio-abel-2019/

Nos leemos!

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

Publicado el 12 de Junio, 2019, 12:07

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Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize
https://www.quantamagazine.org/karen-uhlenbeck-uniter-of-geometry-and-analysis-wins-abel-prize-20190319/

Bubble maths researcher wins top award
https://www.bbc.com/news/science-environment-47613929

Construcciones con regla y compás (IV): La construcción del Heptadecágono
https://www.gaussianos.com/construcciones-con-regla-y-compas-iv-la-construccion-del-heptadecagono/

Collapsing a probability distribution (really measure) of probability distributions to a probability distribution is called the "Giry monad"
https://twitter.com/johncarlosbaez/status/1086676284191662080

The Hidden Heroines of Chaos
https://www.quantamagazine.org/hidden-heroines-of-chaos-ellen-fetter-and-margaret-hamilton-20190520

Guiding Theorem Proving by Recurrent Neural Networks
https://arxiv.org/abs/1905.07961

The Monoidal Grothendieck Construction
https://johncarlosbaez.wordpress.com/2019/05/21/the-monoidal-grothendieck-construction/

Soap-bubble pioneer is first woman to win prestigious maths prize
https://www.nature.com/articles/d41586-019-00932-1


Nos leemos!

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

Publicado el 14 de Mayo, 2019, 15:07

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Paradojas: contando peces, pesando patatas y… detectando agujeros
https://culturacientifica.com/2019/03/13/paradojas-contando-peces-pesando-patatas-y-detectando-agujeros/

Visual proof of the addition trigonometric formulas
https://twitter.com/TamasGorbe/status/1102623356698923010
https://twitter.com/wrose31/status/1102690498370781184
https://twitter.com/SvantesKatt/status/1103035365504491521
https://twitter.com/ilarrosac/status/1102888061921304576
https://www.geogebra.org/m/gNVjYaPy
https://www.geogebra.org/m/bR97TU37

The Pizza Theorem
https://twitter.com/timgluz/status/1085989655961579521

The ambidextrous moving sofa problem
https://twitter.com/emulenews/status/1092156240833269760

Virahanka numbers
https://twitter.com/pickover/status/1093346426573209602

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

Peter Shor
https://en.wikipedia.org/wiki/Peter_Shor

Karen Uhlenbeck Is First Woman to Win Abel Prize for Mathematics
https://www.nytimes.com/2019/03/19/science/karen-uhlenbeck-abel-prize.html
https://www.youtube.com/watch?v=arrl_nM0T4s

Nos leemos!

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

Publicado el 6 de Mayo, 2019, 14:24

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History of elliptic curves rank records
https://web.math.pmf.unizg.hr/~duje/tors/rankhist.html

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

Math Duo Maps the Infinite Terrain of Minimal Surfaces
https://www.quantamagazine.org/math-duo-maps-the-infinite-terrain-of-minimal-surfaces-20190312/

9 Numbers That Are Cooler Than Pi
https://www.livescience.com/64987-numbers-as-cool-as-pi.html

La primera solución entera de la ecuación x³+y³+z³=33
https://francis.naukas.com/2019/03/15/la-primera-solucion-entera-de-la-ecuacion-x%C2%B3y%C2%B3z%C2%B333/

Cracking the problem with 33
https://arxiv.org/abs/1903.04284

Ni Newton ni Leibniz
https://www.gaussianos.com/ni-newton-ni-leibniz/

Los problemas de Landau, después de 100 años «nada nuevo bajo el sol»
https://www.gaussianos.com/los-problemas-de-landau-despues-de-100-anos-nada-nuevo-bajo-el-sol/

Nos leemos!

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

Publicado el 29 de Abril, 2019, 12:49

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Tychonoff Space
https://en.wikipedia.org/wiki/Tychonoff_space

Tychonoffication
https://golem.ph.utexas.edu/category/2019/02/tychonoffication.html

Weak Goldbach conjecture
https://twitter.com/_julesh_/status/1084833583972388865

Google employee calculates pi to record 31 trillion digits
https://www.theverge.com/2019/3/14/18265358/pi-calculation-record-31-trillion-google

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

Without a Proof, Mathematicians Wonder How Much Evidence Is Enough
https://www.quantamagazine.org/without-a-proof-mathematicians-wonder-how-much-evidence-is-enough-20181031/

Algunas curiosidades sobre los números de Fibonacci
https://www.gaussianos.com/algunas-curiosidades-sobre-los-numeros-de-fibonacci/

A heuristic for boundedness of ranks of elliptic curves
https://arxiv.org/abs/1602.01431

Nos leemos!

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

Publicado el 28 de Abril, 2019, 17:51

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The Math That Tells Cells What They Are
https://www.quantamagazine.org/the-math-that-tells-cells-what-they-are-20190313

Lenses and Learners
https://arxiv.org/abs/1903.03671

Ramanujan, el hombre que vio en sueños el número pi
https://www.bbvaopenmind.com/ciencia/grandes-personajes/ramanujan-el-hombre-que-vio-en-suenos-el-numero-pi/

An Interactive Introduction to Fourier Transforms
http://www.jezzamon.com/fourier/index.html

Regular 65537-gon
https://twitter.com/johncarlosbaez/status/1091815883662598144
http://www.digizeitschriften.de/dms/img/?PID=GDZPPN002496585

Five Reasons to Love the Pythagorean Theorem
https://blogs.scientificamerican.com/roots-of-unity/five-reasons-to-love-the-pythagorean-theorem/

Every odd integer is the difference of 2 squares
https://twitter.com/fermatslibrary/status/1114867167437176832

Higher-dimensional Cubes
https://twitter.com/johncarlosbaez/status/1098663374412427264

Nos leemos!

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

Publicado el 6 de Abril, 2019, 11:55

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Atención, pregunta: ¿Qué es una integral?
https://francis.naukas.com/2019/02/28/atencion-pregunta-que-es-una-integral/

Logistic map
https://twitter.com/johncarlosbaez/status/1102322497771331584
https://en.wikipedia.org/wiki/Logistic_map

Fifty Years of KdV: An Integrable System
https://arxiv.org/abs/1902.10267
The author discusses integrability of Hamiltonian dynamical systems in the aftermath of KdV.

The Math That Takes Newton Into the Quantum World
http://nautil.us/issue/69/patterns/the-math-that-takes-newton-into-the-quantum-world

The Horgan Surface and the Death of Proof
https://blogs.scientificamerican.com/cross-check/the-horgan-surface-and-the-death-of-proof/
Mathematicians take revenge on the author of a controversial article about proof by naming an object after him

Nash Letters
https://www.nsa.gov/Portals/70/documents/news-features/declassified-documents/nash-letters/nash_letters1.pdf

New Caltech Professor Seeks Order in Chaos
http://www.pasadenanow.com/main/seeking-order-in-chaos/
A Q&A with Caltech's new mathematics professor Maksym Radziwill

Paradox of integration -- Dynamics of two-dimensional status
https://arxiv.org/abs/1903.04291

Nos leemos!

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

Publicado el 22 de Marzo, 2019, 16:22

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The Death of Proofs
https://pdfs.semanticscholar.org/4e56/c6fea76922082400dfc6e13a3a169ae7b9a6.pdf

Dos problemas sobre primos
https://www.gaussianos.com/dos-problemas-sobre-primos/

¿Por qué el caso n=4 es tan importante?
https://www.gaussianos.com/%C2%BFpor-que-el-caso-n4-es-tan-importante/

Characterizations of Snowflake Metric Spaces
https://www.emis.de/journals/AASF/Vol30/tyson.pdf

19 Women Leading Math and Physics
https://www.quantamagazine.org/19-women-leaders-in-math-and-physics-20170308/

A Movement to Close the Gender Gap in Mathematics
https://www.quantamagazine.org/carolina-araujo-is-building-a-network-of-women-in-mathematics-20190122/

Lo que aprendí resolviendo integrales
https://fuga.naukas.com/2019/02/27/lo-que-aprendi-resolviendo-integrales/

Lo que aprendí resolviendo integrales
https://www.explainxkcd.com/wiki/index.php/2117:_Differentiation_and_Integration

Nos leemos!

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

Publicado el 8 de Marzo, 2019, 12:01

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Möbius Strips Defy a Link With Infinity
https://www.quantamagazine.org/mobius-strips-defy-a-link-with-infinity-20190220/

Mills' constant
https://en.wikipedia.org/wiki/Mills%27_constant

Chaos on the interval
https://www.math.u-psud.fr/~ruette/articles/chaos-int.pdf

Elliptic Curves Divisors
https://crypto.stanford.edu/pbc/notes/elliptic/divisor.html

A lattice is a set with operations
https://twitter.com/johncarlosbaez/status/1097197827791306752

Yet Another Single Law for Lattices
https://arxiv.org/abs/math/0307284

Lattice (order)
https://en.wikipedia.org/wiki/Lattice_(order)

Formalization of Mathematics in Type Theory
http://drops.dagstuhl.de/opus/volltexte/2019/10237/pdf/dagrep_v008_i008_p130_18341.pdf

Nos leemos!

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

Publicado el 2 de Marzo, 2019, 14:47

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Maximum Cut
https://en.wikipedia.org/wiki/Maximum_cut

Elliptic Curves
https://crypto.stanford.edu/pbc/notes/elliptic/

For a Black Mathematician, What It"s Like to Be the "Only One"
https://www.nytimes.com/2019/02/18/us/edray-goins-black-mathematicians.html

Unheralded Mathematician Bridges the Prime Gap
https://www.quantamagazine.org/yitang-zhang-proves-landmark-theorem-in-distribution-of-prime-numbers-20130519/

Kant Mathematics
https://plato.stanford.edu/entries/kant-mathematics/

Explaining p-values with puppies
https://hackernoon.com/explaining-p-values-with-puppies-af63d68005d0

Mellin Transform
https://en.wikipedia.org/wiki/Mellin_transform

Ceyuan haijing
https://en.wikipedia.org/wiki/Ceyuan_haijing

Nos leemos!

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

Publicado el 24 de Febrero, 2019, 13:15

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Some Basics of Class Field Theory
https://ahilado.wordpress.com/2017/10/19/some-basics-of-class-field-theory/

More Category Theory: The Grothendieck Topos
https://twitter.com/johncarlosbaez/status/1096813915403505664

Category Theory
https://ahilado.wordpress.com/2016/12/05/category-theory/

Presheaves
https://ahilado.wordpress.com/2016/12/03/presheaves/

Sheaves
https://ahilado.wordpress.com/2016/12/03/sheaves/

Algebraic Numbers
https://ahilado.wordpress.com/2017/01/03/algebraic-numbers/

Why is a mathematical function allowed to have "multiple outputs for single input" but not "multiple inputs for same output"? Is it just a convention or it has a logical reason?
https://www.quora.com/Why-is-a-mathematical-function-allowed-to-have-multiple-outputs-for-single-input-but-not-multiple-inputs-for-same-output-Is-it-just-a-convention-or-it-has-a-logical-reason/answer/Bartosz-Milewski?share=0ce9415c

Foundations Built for a General Theory of Neural Networks
https://www.quantamagazine.org/foundations-built-for-a-general-theory-of-neural-networks-20190131/

Nos leemos!

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

Publicado el 23 de Febrero, 2019, 12:41

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AKS Primality Test
http://mathworld.wolfram.com/AKSPrimalityTest.html
https://www.cse.iitk.ac.in/users/manindra/algebra/primality_v6.pdf

The Arithmetic Site and the Scaling Site
https://ahilado.wordpress.com/2018/01/25/the-arithmetic-site-and-the-scaling-site/

Zeta Functions and L-Functions
https://ahilado.wordpress.com/2016/11/23/zeta-functions-and-l-functions/

Basics of Algebraic Geometry
https://ahilado.wordpress.com/2016/12/14/basics-of-algebraic-geometry/

Grothendieck"s Relative Point of View
https://ahilado.wordpress.com/2017/04/25/grothendiecks-relative-point-of-view/

Varieties and Schemes Revisited
https://ahilado.wordpress.com/2017/04/21/varieties-and-schemes-revisited/

Adjoint Functors and Monads
https://ahilado.wordpress.com/2017/06/20/adjoint-functors-and-monads/

The Field with One Element
https://ahilado.wordpress.com/2017/12/20/the-field-with-one-element/

Nos leemos!

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

Publicado el 22 de Febrero, 2019, 13:08

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Congruent Number
https://en.wikipedia.org/wiki/Congruent_number

Birkhoff polytope and Birkhoff–von Neumann theorem
https://en.wikipedia.org/wiki/Doubly_stochastic_matrix#Birkhoff_polytope_and_Birkhoff%E2%80%93von_Neumann_theorem

Assignment problem
https://en.wikipedia.org/wiki/Assignment_problem

Why Mathematicians Can"t Find the Hay in a Haystack
https://www.quantamagazine.org/why-mathematicians-cant-find-the-hay-in-a-haystack-20180917/

Mathematicians Crack the Cursed Curve
https://www.quantamagazine.org/mathematicians-crack-the-cursed-curve-20171207/

Jacques Philippe Marie Binet
https://en.wikipedia.org/wiki/Jacques_Philippe_Marie_Binet

Sobre la conjetura de la suma producto de Erdös y Szemeredi
https://francis.naukas.com/2019/02/11/sobre-la-conjetura-de-la-suma-producto-de-erdos-y-szemeredi/

How a Strange Grid Reveals Hidden Connections Between Simple Numbers
https://www.quantamagazine.org/the-sum-product-problem-shows-how-addition-and-multiplication-constrain-each-other-20190206/

Nos leemos!

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

Publicado el 20 de Febrero, 2019, 12:33

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In the Universe of Equations, Virtually All Are Prime
https://www.quantamagazine.org/in-the-universe-of-equations-virtually-all-are-prime-20181210/

The Beal Conjecture
https://thebealconjecture.wordpress.com/

Love Affairs and Differential Equations
http://ai.stanford.edu/~rajatr/articles/SS_love_dEq.pdf

Zaphod Beeblebrox's Brain and the Fifty-ninth Row of Pascal's Triangle
https://dms.umontreal.ca/~andrew/PDF/beeb.pdf

Compositionality for Recursive Neural Networks
https://arxiv.org/abs/1901.10723

Tres historias matemáticas
https://naukas.com/2019/02/01/tres-historias-matematicas/

Pi and the Golden Ratio
https://johncarlosbaez.wordpress.com/2017/03/07/pi-and-the-golden-ratio/

The Physical Meaning of J-Function Elucidates the Monstruous Moonshine Conjeture
https://arturotozzi.webnode.it/_files/200000225-035c7045a7/J-function%20160514%20Monster-R13.pdf

Nos leemos!

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

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