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!
Hypothesis Test with Statistics: Get it Right!Hypothesis Test with Statistics: Get it Right! By Lê Nguyên Hoang | Updated:2016-02 | Views: 4514 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!
The Triangle of PowerThe Triangle of Power By Lê Nguyên Hoang | Updated:2016-10 | Views: 11544 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!
Numbers and ConstructibilityNumbers and Constructibility By Lê Nguyên Hoang | Updated:2016-02 | Views: 9355 Last summer, I got to discover Morellet's artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of $\sqrt{2}$! It's also a strong argument for the existence of this number. In this article, after discussing that, I take readers further by discussing what numbers can be constructed geometrically, algebraically, analytically or set theoretically using the power of mathematics!
Colors: It's not just about Wavelengths!Colors: It's not just about Wavelengths! By Lê Nguyên Hoang | Updated:2016-02 | Views: 7456 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!
Optimization by Linear ProgrammingOptimization by Linear Programming By Lê Nguyên Hoang | Updated:2016-02 | Views: 7851 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!
A Mathematical Guide to SellingA Mathematical Guide to Selling By Lê Nguyên Hoang | Updated:2015-12 | Views: 5168 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!
From Divide and Conquer to ParallelizationFrom Divide and Conquer to Parallelization By Lê Nguyên Hoang | Updated:2015-12 | Views: 1744 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.