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Numbers and Constructibility
Numbers and Constructibility
By Lê Nguyên Hoang | Updated:2016-02 | Views: 9586
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!
The Most Beautiful Equation of Math: Euler's Identity The Most Beautiful Equation of Math: Euler's Identity
By Lê Nguyên Hoang | Updated:2016-01 | Views: 95908
In 1988, Euler's identity was elected most beautiful theorem of mathematics. It has been widely taught worldwide. But have you ever stopped to really sense the meaning of this incredible formula? This article does.
The Magic of Analysis The Magic of Analysis
By Lê Nguyên Hoang | Updated:2016-02 | Views: 1945
This article retraces the endless pursuit of the infinite that is at the basis of mathematical analysis. From the first approximations of pi to the shape of our limitless universe, from the essential usefulness of differential equations to the troubles with infinite sums, we present the great ideas of mathematical geniuses all along History.
Hypothesis Test with Statistics: Get it Right! Hypothesis Test with Statistics: Get it Right!
By Lê Nguyên Hoang | Updated:2016-02 | Views: 4529
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!
History of planet discoveries | Relativity 2 History of planet discoveries | Relativity 2
By Lê Nguyên Hoang | Updated:2016-03 | Views: 0
