Welcome to Science4All
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.
HDI: a measure of human capabilities
HDI: a measure of human capabilities
By Estève Giraud | Updated:2016-02 | Views: 5927
HDI: a measure of human capabilitiesBy Estève Giraud | Updated:2016-02 | Views: 5927
P versus NP: A Crucial Open Problem
P versus NP: A Crucial Open Problem
By Lê Nguyên Hoang | Updated:2016-01 | Views: 6263
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.
P versus NP: A Crucial Open ProblemBy Lê Nguyên Hoang | Updated:2016-01 | Views: 6263
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.
Differential Calculus and the Geometry of Derivatives Differential Calculus and the Geometry of Derivatives
By Lê Nguyên Hoang | Updated:2016-02 | Views: 6186
Differential calculus is one of the most important concept of mathematics for science and engineering. This article focuses on its fundamental meaning.
Differential Calculus and the Geometry of DerivativesBy Lê Nguyên Hoang | Updated:2016-02 | Views: 6186
Differential calculus is one of the most important concept of mathematics for science and engineering. This article focuses on its fundamental meaning.
Beauty, the Driving Force of our Quest for Truth Beauty, the Driving Force of our Quest for Truth
By Lê Nguyên Hoang | Updated:2015-12 | Views: 1358
According to Matthew Colless, the most important aspect of science is beauty. Not only is it what inspires scientists and their quests, I’d even claim that it’s also the compass that guide them in their quests, in a deeper and more surprising way that one can imagine!
Beauty, the Driving Force of our Quest for TruthBy Lê Nguyên Hoang | Updated:2015-12 | Views: 1358
According to Matthew Colless, the most important aspect of science is beauty. Not only is it what inspires scientists and their quests, I’d even claim that it’s also the compass that guide them in their quests, in a deeper and more surprising way that one can imagine!
The Massive Puzzles of Gravity The Massive Puzzles of Gravity
By Lê Nguyên Hoang | Updated:2016-02 | Views: 3434
This article follows the footsteps of the giants of physics that have moulded our current understanding of gravity. It is a series of brilliant inspirations, usually accompanied by deceiving misconceptions. After all, even today, gravity is still a slippery concept.
The Massive Puzzles of GravityBy Lê Nguyên Hoang | Updated:2016-02 | Views: 3434
This article follows the footsteps of the giants of physics that have moulded our current understanding of gravity. It is a series of brilliant inspirations, usually accompanied by deceiving misconceptions. After all, even today, gravity is still a slippery concept.
Spacetime of General Relativity Spacetime of General Relativity
By Lê Nguyên Hoang | Updated:2016-01 | Views: 12404
Most popular science explanations of the theory of general relativity are very nice-looking. But they are also deeply misleading. This article presents you a more accurate picture of the spacetime envisioned by Albert Einstein.
Spacetime of General RelativityBy Lê Nguyên Hoang | Updated:2016-01 | Views: 12404
Most popular science explanations of the theory of general relativity are very nice-looking. But they are also deeply misleading. This article presents you a more accurate picture of the spacetime envisioned by Albert Einstein.
Bayesian Games: Math Models for Poker Bayesian Games: Math Models for Poker
By Lê Nguyên Hoang | Updated:2016-02 | Views: 6286
How to better understand Poker and card games in general? Bayesian games provide the right mathematical model just for that! These correspond to games with incomplete information and include probabilistic reasonings.
Bayesian Games: Math Models for PokerBy Lê Nguyên Hoang | Updated:2016-02 | Views: 6286
How to better understand Poker and card games in general? Bayesian games provide the right mathematical model just for that! These correspond to games with incomplete information and include probabilistic reasonings.
Hypothesis Test with Statistics: Get it Right! Hypothesis Test with Statistics: Get it Right!
By Lê Nguyên Hoang | Updated:2016-02 | Views: 4077
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!
Hypothesis Test with Statistics: Get it Right!By Lê Nguyên Hoang | Updated:2016-02 | Views: 4077
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!
Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse
By Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: The Essence of Quantum Mechanics, Imaginary and Complex Numbers, Linear Algebra and Higher Dimensions | Views: 7466
On one hand, the dynamics of the wave function can follow Schrödinger equation and satisfy simple properties like Heisenberg uncertainty principle. But on the other hand, it can be probabilistic. This doesn’t mean that it’s totally unpredictable, since the unpredictability is amazingly predictable. Find out how these two dynamics work!
Dynamics of the Wave Function: Heisenberg, Schrödinger, CollapseBy Lê Nguyên Hoang | Updated:2016-02 | Prerequisites: The Essence of Quantum Mechanics, Imaginary and Complex Numbers, Linear Algebra and Higher Dimensions | Views: 7466
On one hand, the dynamics of the wave function can follow Schrödinger equation and satisfy simple properties like Heisenberg uncertainty principle. But on the other hand, it can be probabilistic. This doesn’t mean that it’s totally unpredictable, since the unpredictability is amazingly predictable. Find out how these two dynamics work!
The Tortuous Geometry of the Flat Torus The Tortuous Geometry of the Flat Torus
By Lê Nguyên Hoang | Updated:2015-12 | Views: 14786
Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn’t figure out. While John Nash did answer yes, he couldn’t say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!
The Tortuous Geometry of the Flat TorusBy Lê Nguyên Hoang | Updated:2015-12 | Views: 14786
Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn’t figure out. While John Nash did answer yes, he couldn’t say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!
