My name is Lê and I believe that the greatest challenge in education is to make science and math appealing.
This is why I aim at bringing enthusiasm and excitement to the readers’ learning experience.
I now run a Robustly Beneficial wiki, mostly on AI ethics, which has come to fascinate me!
Symmetries and Group TheorySymmetries and Group Theory By Lê Nguyên Hoang | Updated:2016-02 | Views: 5288 Beauty is extremely hard to define. Yet, physicists and artists seem to agree on an important feature of beauty, created by mathematicians: Symmetries. This article aims at introducing the beauty and the concepts on symmetries, from the basic geometrical symmetries to the more abstract fundamental automorphisms.
Poincaré Conjecture and HomotopyPoincaré Conjecture and Homotopy By Lê Nguyên Hoang | Updated:2016-01 | Views: 8892 Poincaré conjecture is the most recent major proven theorem. Posited a century ago by Henri Poincaré, this major conjecture of topology was solved by Gregori Perelman. It has revolutionized our understanding of space and raised intriguing questions regarding the global structure of our Universe.
The Tortuous Geometry of the Flat TorusThe Tortuous Geometry of the Flat Torus By Lê Nguyên Hoang | Updated:2015-12 | Views: 20335 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!
Marriage Assignment Problem and VariantsMarriage Assignment Problem and Variants By Lê Nguyên Hoang | Updated:2016-02 | Views: 7228 Marriage problems consist in matching boys and girls. They are a very interesting class of problems that include assignment problems, which have a very large range of applications. Additional results have been found for variants which include the introduction of boys and girls' preferences, and cases where people cannot be categorized into two groups.
The Triangle of PowerThe Triangle of Power By Lê Nguyên Hoang | Updated:2016-10 | Views: 11590 Notations do not matter to the essence of mathematics. But poor notations can be misleading. Notations based on exponents, radicals and logarithms definitely are. They are very distinct, even though they are supposed to describe very similar relations between numbers. The triangle of power is a recently proposed alternative. In short, I am convinced!
Shannon's Information TheoryShannon's Information Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 52363 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.
Computing Hunger worldwide: the Global Hunger Index (GHI)Computing Hunger worldwide: the Global Hunger Index (GHI) By Estève Giraud | Updated:2015-12 | Views: 624 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.
Construction and Definition of NumbersConstruction and Definition of Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 9167 Although they have been used for thousands of years, an actual definition of numbers was given less than a century ago! From the most fundamental level of set theory, this article takes you to the journey of the construction of natural, integer, rational, real and complex numbers.
Symmetries and Group Theory
