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## Discover a new field of science with the latest no-prerequisite articles:

- The Cubic Ball of the 2014 FIFA World Cup The Cubic Ball of the 2014 FIFA World Cup

By Lê Nguyên Hoang |**Updated:**2014-07 |**Views**: 2277

I know this sounds crazy. Even stupid. But Adidas did design a cubic ball, called brazuca, for the 2014 World Cup. And, yet, this cubic ball is rounder than any previous ball in football History. How is it possible? This article explains it., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Addictive Mathematics of the 2048 Tile Game The Addictive Mathematics of the 2048 Tile Game

By Lê Nguyên Hoang |**Updated:**2014-06 |**Views**: 3329

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!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Unlikely Correctness of Newton’s Laws The Unlikely Correctness of Newton’s Laws

By Lê Nguyên Hoang |**Updated:**2014-05 |**Views**: 1264

Do moving objects exhaust? Does the Moon accelerate? How strong is the gravity pull of the Moon on the Earth compared to that of the Earth on the Moon? While we’ve all learned Newton’s laws of motion, many of us would get several answers of these questions wrong. That’s not so surprising, as Newton’s laws are deeply counter-intuitive. By stressing their weirdness with Veritasium videos, this article dives into a deep understanding of classical mechanics., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Computing Hunger worldwide: the Global Hunger Index (GHI) Computing Hunger worldwide: the Global Hunger Index (GHI)

By Estève Giraud |**Updated:**2014-04 |**Views**: 213

The Global Hunger Index was first published in 2006 by the International Food Policy Research Institute and the NGO Welthungerhilfe. In 2007, Concern worldwide joined them. Since then, the Index reports every year the evolution of the hunger situation worldwide and focus on a given topic. How is it calculated? And what is hunger? How are we connected ? What can be done? To learn more, read the article below. , by Estève Giraud Estève Giraud

I hold a MSc in Management from Toulouse Business School (France). I currently work as a MRes/PhD student in University Pompeu Fabra (Barcelona, Spain) and research on ethical mindsets in business. - Homotopy Type Theory and Higher Inductive Types Homotopy Type Theory and Higher Inductive Types

By Lê Nguyên Hoang |**Updated:**2014-04 |**Views**: 816

In this article, we explore the possibilities allowed by higher inductive types. They enable a much more intuitive formalization of integers and new mind-blowing definitions of the (homotopical) circle and sphere., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Type Theory: A Modern Computable Paradigm for Math Type Theory: A Modern Computable Paradigm for Math

By Lê Nguyên Hoang |**Updated:**2014-04 |**Views**: 3301

In 2013, three dozens of today’s brightest minds have just laid out new foundation of mathematics after a year of collective effort. This new paradigm better fits both informal and computationally-checkable mathematics. There is little doubt that it will fundamentally change our perspective on rigorous knowledge, and it could be that, in a few decades, the book they published turns out to be the bedrock of all mathematics, and, by extension, all human knowledge! Have a primer of this upcoming revolution, with this article on type theory, the theory that the book builds upon!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Tortuous Geometry of the Flat Torus The Tortuous Geometry of the Flat Torus

By Lê Nguyên Hoang |**Updated:**2014-06 |**Views**: 5869

Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn’t figure out. While John Nash did answer yes, he couldn’t say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Thrilling Physics of Resonance The Thrilling Physics of Resonance

By Lê Nguyên Hoang |**Updated:**2014-04 |**Views**: 7644

From the destruction of bridges and buildings to the foundations of electromagnetism and quantum mechanics, through their uses by radios or our ears,resonance is a counter-intuitive underlying phenomenon which shapes our reality. But amazingly, they can be made amazingly visual by playing with head massagers!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Most Beautiful Equation of Math: Euler’s Identity The Most Beautiful Equation of Math: Euler’s Identity

By Lê Nguyên Hoang |**Updated:**2014-07 |**Views**: 5163

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., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The New Big Fish Called Mean-Field Game Theory The New Big Fish Called Mean-Field Game Theory

By Lê Nguyên Hoang |**Updated:**2014-06 |**Views**: 2729

In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications! This is mathematics in the making!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Pluto is NOT (not?) a Planet Pluto is NOT (not?) a Planet

By Lê Nguyên Hoang |**Updated:**2014-01 |**Views**: 664

In 2006, Pluto was officially demoted from its planetary status. When we dig a little bit, this isn’t much of the surprise. What’s more interesting is rather why it ever was regarded as a planet, as the History of Pluto highlights a magic enterprise that science is!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Most Troubling Experiments on Human Behavior The Most Troubling Experiments on Human Behavior

By Lê Nguyên Hoang |**Updated:**2014-03 |**Views**: 886

We all intuitively think of ourselves as independent creatures with strong free will. However, many disturbing experiments about fashion, conformity, obedience, environment, choice and opinions have been troubling this idea we make of ourselves. These ought to be lessons of humility for all of us., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Santa Routing and Heuristics in Operations Research Santa Routing and Heuristics in Operations Research

By Lê Nguyên Hoang |**Updated:**2014-05 |**Views**: 2050

Designing routes to visit customers has become one of applied mathematicians’ favorite optimization problems, as companies offer millions to solve them! This article discusses the clever technics they have come up with, and use them to help Santa deliver toys to kids all over the world!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Biology Civil War Opposing Kin to Group Selection The Biology Civil War Opposing Kin to Group Selection

By Lê Nguyên Hoang |**Updated:**2014-03 |**Views**: 811

In 2010, a controversial article published in Nature violently criticized the last 40 years of developments in evolutionary biology, triggering an ongoing war within the scientific community. This article explains the essence of the controversy!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Linear Algebra and Higher Dimensions Linear Algebra and Higher Dimensions

By Lê Nguyên Hoang |**Updated:**2014-05 |**Views**: 1914

Linear algebra is a one of the most useful pieces of mathematics and the gateway to higher dimensions. Using Barney Stinson’s crazy-hot scale, we introduce its key concepts., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Numbers and Constructibility Numbers and Constructibility

By Lê Nguyên Hoang |**Updated:**2014-02 |**Views**: 2341

Last summer, I got to discover Morellet’s artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of $\sqrt{2}$! It’s also a strong argument for the existence of this number. In this article, after discussing that, I take readers further by discussing what numbers can be constructed geometrically, algebraically, analytically or set theoretically using the power of mathematics!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Entropy and the Second Law of Thermodynamics Entropy and the Second Law of Thermodynamics

By Lê Nguyên Hoang |**Updated:**2013-12 |**Views**: 16717

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!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Logarithms and Age Counting Logarithms and Age Counting

By Lê Nguyên Hoang |**Updated:**2013-12 |**Views**: 1249

Amusingly, the age difference between a 45-year-old man and a 25-year-old woman doesn’t seem as big as the age difference between them 20 years earlier, when the woman was a little 5-year-old girl. This remark was the insight the late science popularizer Albert Jacquart liked to give to his readers to explain logarithms. This article pays tribute to the great scientist by introducing age difference as he liked to tell it., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Imaginary and Complex Numbers Imaginary and Complex Numbers

By Lê Nguyên Hoang |**Updated:**2014-02 |**Views**: 2901

My first reaction to imaginary numbers was… What the hell is that? Even now, I have trouble getting my head around these mathematical objects. Fortunately, I have a secret weapon: Geometry! This article proposes constructing complex numbers with a very geometrical and intuitive approach, which is probably very different from what you’ve learned (or will learn)., by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - Beauty, the Driving Force of our Quest for Truth Beauty, the Driving Force of our Quest for Truth

By Lê Nguyên Hoang |**Updated:**2013-12 |**Views**: 817

According to Matthew Colless, the most important aspect of science is beauty. Not only is it what inspires scientists and their quests, I’d even claim that it’s also the compass that guide them in their quests, in a deeper and more surprising way that one can imagine!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007)