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!
Imaginary and Complex NumbersImaginary and Complex Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 6914 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).
Colors: It's not just about Wavelengths!Colors: It's not just about Wavelengths! By Lê Nguyên Hoang | Updated:2016-02 | Views: 7710 Colours... What are they really? Are there the same for all of us? And for other animals? How does color addition or subtraction work? How do they work on computers? And on printers? The mysterious (but not dark) world of colors is actually very colourful!
Multicriteria with MACBETHMulticriteria with MACBETH By Lê Nguyên Hoang | Updated:2016-02 | Views: 2908 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.
Game Theory and the Nash EquilibriumGame Theory and the Nash Equilibrium By Lê Nguyên Hoang | Updated:2016-01 | Views: 13009 In the movie "A Beautiful Mind", the character is John Nash. He is one of the founders of a large and important field of applied mathematics called game theory. Game Theory is the study of human interactions. Its fallouts in economy, politics or biology are countless. This article gives you an introduction to the concepts of this amazing way of thinking.
Optimization by Linear ProgrammingOptimization by Linear Programming By Lê Nguyên Hoang | Updated:2016-02 | Views: 7992 Operations Research deals with optimizing industrial systems. Those systems can be very complex and their modeling may require the use of hundreds, thousands or even millions of variables. Optimizing over millions of variables may seem impossible, but it can be done if the optimization problem has a linear structure. Learn more on this linear structure and optimization solutions!
The Amazing Physics of Water in TreesThe Amazing Physics of Water in Trees By Lê Nguyên Hoang | Updated:2016-01 | Views: 66842 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!
P versus NP: A Crucial Open ProblemP versus NP: A Crucial Open Problem By Lê Nguyên Hoang | Updated:2016-01 | Views: 7458 P=NP is probably today's most crucial open problem. Not only is it a very theoretical question in computer science and mathematics, but it also has major implications to real world. Its resolution could revolutionize the world. This article gives the definition and major results of P=NP.
Hypothesis Test with Statistics: Get it Right!Hypothesis Test with Statistics: Get it Right! By Lê Nguyên Hoang | Updated:2016-02 | Views: 4556 Statistician Johnson recently claimed that up to 25% of published scientific experimental results were just wrong! To see why, let's get to the bottom of the scientific method! And it's probably more complicated than you think. In this article, we apply it rigorously to "prove" $\pi=3$. This will highlight the actually mechanism of the scientific method, its limits, and how much messages of experiments are often deformed!
Imaginary and Complex Numbers
