Angel "Java" Lopez en Blog

Publicado el 13 de Abril, 2012, 6:44

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Los que visitan este blog ya saben de mi gusto por las matemáticas. Sigo coleccionando enlaces de artículos que me interesaron, y ahora comparto esta nueva entrega.

Constructor de Universos

Welcome to the Tricki
Welcome to the Tricki – a Wiki-style site that is intended to develop into a large store of useful mathematical problem-solving techniques. Some of these techniques will be very general, while others will concern particular subareas of mathematics. All of them will be techniques that are used regularly by mathematical problem-solvers, at every level of experience.

A short post on countability and uncountability

Group actions IV: intrinsic actions

A Semigroup Approach to Finite Markov Chains

Econometrics lies at the intersection of mathematical economics and statistics. It is the application of statistical methods to empirical work in economics.

Last two digits of (1+5^(2n+1))/6

Theorems for free! (1989)
From the type of a polymorphic function we can derive a theorem that it satisfies. Every function of the same type satisfies the same theorem. This provides a free source of useful theorems, courtesy of Reynolds' abstraction theorem for the polymorphic lambda calculus.

Hyperreals and Non-Standard Analysis
With the introduction of the diferential and integral calculus in the latter end of
the seventeenth century, mathematicians had begun to grapple with the notion of
the in nite in a very direct way. Lacking ... definition of the limit, they had
no formal way of expressing quantities that were arbitrarily large or small. Instead,
they tentatively embraced the in nitesimal: a non-zero entity that was yet smaller
than any finite number...

NBA Statistics

Gödel, Escher, Bach - Lecture 1: Part 1 of 7

Graph Theory with Applications

Klein–Gordon equation

Green's function

The Renaissance Mathematicus

Only 26 and already a professor!
In 1669 Isaac Newton, who was born on 25th December 1642 (OS)[1], was elected Lucasian Professor of Mathematics at Cambridge University at the tender age of 26 in 1669. This fact has led and in fact continues to lead to a series of historical myths and misunderstandings that I intend to address in this brief post in celebration of Isaac"s birthday.

Quantum-Geometry Dynamics
A Response to Hilbert"s 6th problem

Quantum-Geometry Dynamics
Very speculative, but...

Ferretería Matemática: Identidades trigonométricas radicales
Les traigo otra forma que pueden utilizar para acordarse de las identidades trigonométricas.

Exterior algebra
In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in Euclidean geometry to study areas, volumes, and their higher-dimensional analogs.

Exterior derivative
In differential geometry, the exterior derivative extends the concept of the differential of a function, which is a 1-form, to differential forms of higher degree. Its current form was invented by Élie Cartan.

Rationality of the zeta function mod p

The "Hairy Ball Theorem"
We can use the concept of degree to prove the (in)famous "hairy ball theorem".

Debunking Myths about
Gender and Mathematics

In mathematics, computer science, and logic, rewriting covers a wide range of (potentially non-deterministic) methods of replacing subterms of a formula with other terms.

Penrose triangle
The Penrose triangle, also known as the Penrose tribar, is an impossible object. It was first created by the Swedish artist Oscar Reutersvärd in 1934. The mathematician Roger Penrose independently devised and popularised it in the 1950s, describing it as "impossibility in its purest form". It is featured prominently in the works of artist M. C. Escher, whose earlier depictions of impossible objects partly inspired it.

Penrose graphical notation
In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose[1]. A diagram in the notation consists of several shapes linked together by lines, much like tinker toys

Abstruse Goose: Stop the Massacre

Basic logic — connectives — IMPLIES

Michael Atiyah, uno de los más grandes matemáticos de nuestra era

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Nos leemos!

Angel "Java" Lopez