To use quantitative analysis to enhance our understanding of life and money.

50^50 bigger or 49^51? Analyzed with functions.
2:54
50^50 bigger or 49^51? Analyzed with functions.
The factorial of one half?! Amazing arguments.
4:48
The factorial of one half?! Amazing arguments.
Calculate square root of 2 by hand | digit-by-digit method | Amazing tricks
4:15
Calculate square root of 2 by hand | digit-by-digit method | Amazing tricks
i^i? famous problem in complex analysis? Harvard Entrance Exam
2:37
i^i? famous problem in complex analysis? Harvard Entrance Exam
Find the area of the blue region. Even adults cannot solve it!
1:54
Find the area of the blue region. Even adults cannot solve it!
Sum of all integers equals -1/12. Really curious.
5:01
Sum of all integers equals -1/12. Really curious.
0.9999....=1? A crazing equality, proved with 4 different methods
3:45
0.9999....=1? A crazing equality, proved with 4 different methods
pi^e or e^pi? Which is bigger? no calculator!
3:27
pi^e or e^pi? Which is bigger? no calculator!
JP Morgan Quant Interview Question
2:49
JP Morgan Quant Interview Question
The quadratic variation of Brownian motion, proofs and applications
9:22
The quadratic variation of Brownian motion, proofs and applications
Brownian motion: definitions, visualization, and applications
4:34
Brownian motion: definitions, visualization, and applications
Solving the stochastic differential equation for the Ornstein–Uhlenbeck process, step by step!
9:39
Solving the stochastic differential equation for the Ornstein–Uhlenbeck process, step by step!
Solving the stochastic differential equation for OU process by Ito formula
6:34
Solving the stochastic differential equation for OU process by Ito formula
量化面试题：灰太狼会不会吃掉喜洋洋？
1:56
量化面试题：灰太狼会不会吃掉喜洋洋？
量化面试题：离开赌桌的最佳时机
1:34
量化面试题：离开赌桌的最佳时机
Solving stochastic differential equations step by step; using Ito formula and Taylor rules
6:01
Solving stochastic differential equations step by step; using Ito formula and Taylor rules
Quantile-Quantile Plot (QQ Plot) Step-by-Step Explained with Python Implementation!!!
5:55
Quantile-Quantile Plot (QQ Plot) Step-by-Step Explained with Python Implementation!!!
Simulating Brownian motion and drifted version with Python, step by step explanations
6:54
Simulating Brownian motion and drifted version with Python, step by step explanations
Solving an Ordinary Differential Equation with Euler Scheme
1:01
Solving an Ordinary Differential Equation with Euler Scheme
Karhunen–Loève approximation of Brownian motion: An intuitive visualization with manim
1:35
Karhunen–Loève approximation of Brownian motion: An intuitive visualization with manim
Intuitive Learning via Manim! Visualizing Euler formula and trigonometric functions
0:42
Intuitive Learning via Manim! Visualizing Euler formula and trigonometric functions
Visualize the derivations of diffusion equation with manim
0:41
Visualize the derivations of diffusion equation with manim
Mooncake in Mathematics, visualization by manim
0:21
Mooncake in Mathematics, visualization by manim
Visualize the convergence! Taylor expansion for sin(x)
0:37
Visualize the convergence! Taylor expansion for sin(x)
Visualizing Three Body Problem with Manim
0:30
Visualizing Three Body Problem with Manim
Visualizing Taylor Expansion with Manim
0:37
Visualizing Taylor Expansion with Manim
Visualizing Butterfly Effect! A Chaotic System
0:47
Visualizing Butterfly Effect! A Chaotic System
Visualizing Neural Networks
1:42
Visualizing Neural Networks
So easy! Euler Scheme for Simulating SDE
1:12
So easy! Euler Scheme for Simulating SDE
Probability Space explained simple.
8:41
Probability Space explained simple.