Science4All

Welcome to Science4All

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!

Check my articles

The Amazing Physics of Water in Trees

The Amazing Physics of Water in Trees
By Lê Nguyên Hoang | Updated:2016-01 | Views: 60128
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!

Space Deformation and Group Representation

Space Deformation and Group Representation
By Lê Nguyên Hoang | Updated:2015-12 | Views: 2623
All along the 20th century, pure algebraists have dug deep into the fundamental structures of mathematics. In this extremely abstract effort, they were greatly help by the possibility of representing these structures by space deformations, which could then be understood much better. This has led to breakthroughs, including the proof of Fermat's las theorem. This article introduces the ideas of group representations.

Self-Reference, Math Foundations and Gödel's Incompleteness

Self-Reference, Math Foundations and Gödel's Incompleteness
By Lê Nguyên Hoang | Updated:2016-02 | Views: 6031
Although highly appreciated by artists, self-reference has been a nightmare for mathematicians. It took one of the greatest, Kurt Gödel, to provide a better understanding of it. This article deals with paradoxes, recursion, fractals and Gödel's incompleteness theorems.

Duality in Linear Programming

Duality in Linear Programming
By Lê Nguyên Hoang | Updated:2016-01 | Prerequisites: Optimization by Linear Programming, Linear Algebra and Higher Dimensions | Views: 21500
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.

From Divide and Conquer to Parallelization

From Divide and Conquer to Parallelization
By Lê Nguyên Hoang | Updated:2015-12 | Views: 1708
Divide and conquer is a extremely powerful concept that is being used a lot in computer science, and that can also be applied in real life. We present its application to sorting algorithms. Then we'll talk about a major fundamental open mathematical problem, called P=NC.

Spacetime of General Relativity

Spacetime of General Relativity
By Lê Nguyên Hoang | Updated:2016-01 | Views: 13774
Most popular science explanations of the theory of general relativity are very nice-looking. But they are also deeply misleading. This article presents you a more accurate picture of the spacetime envisioned by Albert Einstein.

Does God play dice?

Does God play dice?
By Arthur Marronnier | Updated:2016-02 | Views: 1675
For Albert Einstein, the answer is no. But what did he mean? Has the greatest theoretical physicist of all time really missed the bandwagon of quantum physics? What are the real issues of the controversy that has opposed him to the Copenhagen School (Bohr, Heisenberg ...)? Back to the physics of the early twentieth century, its history, philosophy and ideas.

The Biology Civil War Opposing Kin to Group Selection

The Biology Civil War Opposing Kin to Group Selection
By Lê Nguyên Hoang | Updated:2015-12 | Views: 4256
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!

The Triangle of Power

The Triangle of Power
By Lê Nguyên Hoang | Updated:2016-10 | Views: 10208
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!

Primal and Dual Simplex Methods

Primal and Dual Simplex Methods
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: Optimization by Linear Programming, Duality in Linear Programming | Views: 24684
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.

Watch my videos

Welcome to Science4All

No idea of search? Click on your favorite word!