The Most Beautiful Equation of Math: Euler’s Identity

February 18, 2014Article49130 vuesEdit

In 1988, Euler’s identity was elected most beautiful theorem of mathematics. It has been widely taught worldwide. But have you ever stopped to really sense the meaning of this incredible formula? This article does.

The Beauty of Ellipses, Parabolas and Hyperbolas

July 22, 2013Article33090 vuesEdit

The conic sections, that is, ellipses, parabolas and hyperbolas, are too often presented analytically. Yet, their amazing beauty is actually their spectacular geometry, as well as their omnipresence! This article presents plenty of illustrative descriptions of their uncountable applications!

The Amazing Physics of Water in Trees

April 15, 2013Article27226 vuesEdit

As explained by Derek Muller on Veritasium, the flow of water in trees involves complex physical phenomena including pressure, osmosis, negative pressure, capillarity and evapotranspiration. What seems simple will blow your mind!

Shannon’s Information Theory

March 17, 2013Article24596 vuesEdit

Claude Shannon may be considered one of the most influential person of the 20th Century, as he laid out the foundation of the revolutionary information theory. Yet, unfortunately, he is virtually unknown to the public. This article is a tribute to him. And the best way I’ve found is to explain some of the brilliant ideas he had.

Entropy and the Second Law of Thermodynamics

October 15, 2013Article19845 vuesEdit

The second law of thermodynamics is my favorite law in physics, mainly because of the troubling puzzles it raises! Indeed, what your professors may have forgotten to tell you is that this law connects today’s world to its first instant, the Big Bang! Find out why!

Duality in Linear Programming

June 23, 2012Article14059 vuesEdit

Duality in linear programming yields plenty of amazing results that help understand and improve algorithms of resolution. This article shows the construction of the dual and its interpretation, as well as major results. In particular, matching of primal and dual bases will be dealt, before presenting the issue of degeneracy and its dual interpretation.

The Revolutionary Galois Theory

January 05, 2014Article12497 vuesEdit

In 1832, Évariste Galois died. He was 20. The night before his death, he wrote a legendary letter to his friend, in which he claims to have found a mathematical treasure! Sadly, this treasure had long been buried in total indifference! It took nearly a century to rediscover it! Since then, Galois’ legacy has become some of the finest pure mathematics, which represents a hugely active field of research today with crucial applications to cryptography. Galois’ work is now known as Galois theory. In essence, it unveils the hidden symmetries of numbers!

The Addictive Mathematics of the 2048 Tile Game

June 04, 2014Article12087 vuesEdit

2048 is the Internet sensation of the year. This very addictive game has been downloaded hundred of millions of times. Interestingly, this game raises plenty of intriguing mathematical questions. This article unveils some of them!

Darwin’s Theory of Evolution

October 29, 2012Article11635 vuesEdit

Darwin’s theory of evolution is one of the greatest of all time. It’s also one of the most controversial. This article presents the most fundamental concepts of the theory. We’ll also provide results of modern science and discuss to which extend to they confirm Darwin’s postulates.

Primal and Dual Simplex Methods

June 23, 2012Article11603 vuesEdit

The simplex method is one of the major algorithm of the 20th century, as it enables the resolution of linear problems with millions of variables. An intuitive approach is given. But that’s not all. We present an important variant called the dual simplex. Finally, we’ll explain its main default, that is, when facing degeneracy.

All Other Articles…

The Thrilling Physics of Resonance
Spacetime of General Relativity
The New Big Fish Called Mean-Field Game Theory
Type Theory: A Modern Computable Paradigm for Math
The Surprising Flavor of Infinite Series
Poincaré Conjecture and Homotopy
Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse
P versus NP: A Crucial Open Problem
The Cubic Ball of the 2014 FIFA World Cup
Proof by Mathematical Induction
Optimization by Linear Programming
Column Generation and Dantzig-Wolfe Decomposition
Construction and Definition of Numbers
Differential Calculus and the Geometry of Derivatives
Marriage Assignment Problem and Variants
Topology: from the Basics to Connectedness
The Unlikely Correctness of Newton’s Laws
Conditional Probabilities: Know what you Learn
Linear Algebra and Higher Dimensions
Evolutionary Game Theory
Web Programming: From HTML to AJAX
Dynamics, Chaos, Fractals (pt 1)
From Britain’s coast to Julia set: an introduction to fractals
A Mathematical Guide to Selling
The Biology Civil War Opposing Kin to Group Selection
The Magic of Algebra
Univalent Foundations of Mathematics
Multicriteria with MACBETH
High Dynamic Range and Tone Mapping
Homotopy Type Theory and Higher Inductive Types
Space Deformation and Group Representation
Temperature Misconception: Heat is Not How it Feels
Cryptography and Quantum Physics
Colours and Dimensions
Geological Wonders of Iceland
From Divide and Conquer to Parallelization
Probabilistic Algorithms, Probably Better
The Triangle of Power
Glaciers: Retreat, Moraines, Valleys, Fjörds
The coach’s dilemma.
Computing Hunger worldwide: the Global Hunger Index (GHI)