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.
Science4All is also available in French.

The Triangle of PowerThe Triangle of Power By Lê Nguyên Hoang | Updated:2016-10 | Views: 4531 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!

Dynamics, Chaos, Fractals (pt 1)Dynamics, Chaos, Fractals (pt 1) By Scott McKinney | Updated:2016-02 | Views: 3503 The study of dynamical systems, natural or abstract systems that evolve at each instance in time according to a specific rule, is an active and fruitful area of research in mathematics. Its study has yielded insights into the nature of social networks such as Facebook, the spread of diseases such as influenza, and the behavior of the financial markets. In this series of posts, we’ll look in depth at dynamical systems, as well as at the related subjects of chaos theory and fractals, all of which are both interesting and useful for understanding our world.

The Harmonious Mathematics of MusicThe Harmonious Mathematics of Music By Lê Nguyên Hoang | Updated:2015-12 | Views: 5588 It was when hearing the sounds of hammers that Pythagoras realized the ubiquity of numbers in mathematical harmony. He would go on laying down the mathematical foundations of music, based on octaves, perfect fifths and major thirds. This mathematics of music would then become the favourite playground of all musicians, from Beethoven to Gangnam Style.

The Secretary/Toilet Problem and Online OptimizationThe Secretary/Toilet Problem and Online Optimization By Lê Nguyên Hoang | Updated:2015-12 | Views: 3092 A large chunk of applied mathematics has focused on optimizing something with respect to all relevant data. However, in practice, especially in the online world, the data is not available to us, and, yet, we’re still expected to make nearly optimal decisions. This problem is exemplified by the famous secretary problem, where a manager needs to decide to hire candidates right after interviews, even though he has not yet met all the candidates. In this article, we review this classic as well as many very recent developments.

Probabilistic Algorithms, Probably BetterProbabilistic Algorithms, Probably Better By Lê Nguyên Hoang | Updated:2016-02 | Views: 1459 Probabilities have been proven to be a great tool to understand some features of the world, such as what can happen in a dice game. Applied to programming, it has enabled plenty of amazing algorithms. In this article, we discuss its application to the primality test as well as to face detection. We’ll also deal with quantum computers, as well as fundamental computer science open problems P=BPP and NP=BQP.

Multicriteria with MACBETHMulticriteria with MACBETH By Lê Nguyên Hoang | Updated:2016-02 | Views: 2539 As more and more complex problems are dealt with in our societies, developing models such as multi-criteria analysis is crucial to better understand these problems. MACBETH is a state-of-the-art method to do just that. Its functioning is described in this article.

A Mathematical Guide to SellingA Mathematical Guide to Selling By Lê Nguyên Hoang | Updated:2015-12 | Views: 3493 How to best sell a good? Should we auction it like in movies? Since the 1960s, economists have addressed this question mathematically and found surprising results. Most notably, in 1981, Nobel prize winner Roger Myerson proved that most auctions you could think of would win you just as much as any basic auction, but that, as well, you could do better using his approach. Since, today, billions of dollars are at play in online auctions, you can imagine how hot a topic it has now become!

Geological Wonders of IcelandGeological Wonders of Iceland By Lê Nguyên Hoang | Updated:2016-02 | Views: 1991 Iceland is at an amazingly active volcanic location, yielding extreme geological phenomenons. Iceland is therefore a giant laboratory for geologists. It’s also an awesome place for visitors, especially hikers. This article introduces some of Iceland’s wonders.