# Make it simple. Make it cool.

Read and Write *Quality Popular Science for all*.

Help democratize science by reading, sharing and contributing.

To write articles, you just need to register, log in and fill in your profile.

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

- Computing Hunger worldwide: the Global Hunger Index (GHI) Computing Hunger worldwide: the Global Hunger Index (GHI)

By Estève Giraud |**Updated:**2014-04 |**Views**: 76

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**: 311

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**: 1674

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:**2014-03 |**Views**: 5192

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**: 6009

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 Greatest Feat of Mathematics: Euler’s Identity The Greatest Feat of Mathematics: Euler’s Identity

By Lê Nguyên Hoang |**Updated:**2014-03 |**Views**: 2795

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:**2014-04 |**Views**: 1807

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**: 446

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**: 610

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:**2013-12 |**Views**: 1816

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**: 687

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:**2013-11 |**Views**: 1423

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**: 1805

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**: 5555

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**: 1072

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**: 2260

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**: 725

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) - High Dynamic Range and Tone Mapping High Dynamic Range and Tone Mapping

By Lê Nguyên Hoang |**Updated:**2013-11 |**Views**: 462

Our eyes are amazing! Even today’s cameras are nowhere near competing with them. However, the recent development of high dynamic range (HDR) and tone mapping technologies creates new possibilities to get images nearly as awesome as what our eyes really see!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Beauty of Ellipses, Parabolas and Hyperbolas The Beauty of Ellipses, Parabolas and Hyperbolas

By Lê Nguyên Hoang |**Updated:**2013-10 |**Views**: 5417

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!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007) - The Surprising Flavor of Infinite Series The Surprising Flavor of Infinite Series

By Lê Nguyên Hoang |**Updated:**2014-01 |**Views**: 3105

1+2+4+8+16+…=-1, as proven by Henry Reich on Minute Physics! Now, as a mathematician, I must say that his proof is far from being rigorous. In fact, anyone familiar with the surprising flavor of infinite series should not find it convincing. Surprisingly though, his proof can be rigorously and naturally justified! Find out how!, by Lê Nguyên Hoang Lê Nguyên Hoang

PhD Student in Applied Maths at Polytechnique of Montreal.

Engineer of the Ecole Polytechnique, France. (X2007)