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!
Darwin's Theory of EvolutionDarwin's Theory of Evolution By Lê Nguyên Hoang | Updated:2016-01 | Views: 17250 Darwin's theory of evolution is one of the greatest of all time. It's also one of the most controversial. This article presents the most fundamental concepts of the theory. We'll also provide results of modern science and discuss to which extend to they confirm Darwin's postulates.
Space Deformation and Group RepresentationSpace Deformation and Group Representation By Lê Nguyên Hoang | Updated:2015-12 | Views: 2741 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.
Multicriteria with MACBETHMulticriteria with MACBETH By Lê Nguyên Hoang | Updated:2016-02 | Views: 2885 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.
Shannon's Information TheoryShannon's Information Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 52361 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.
The Surprising Flavor of Infinite SeriesThe Surprising Flavor of Infinite Series By Lê Nguyên Hoang | Updated:2020-01 | Views: 11403 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!
Construction and Definition of NumbersConstruction and Definition of Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 9166 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.
Probabilistic Algorithms, Probably BetterProbabilistic Algorithms, Probably Better By Lê Nguyên Hoang | Updated:2016-02 | Views: 1992 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.
Darwin's Theory of Evolution
