I really enjoy learning from 3Blue1Brown math courses. In the calculus essence playlist, I jot down the notes of half of them: Limits, L'Hopital's rule, and espilon delta definitionsIntegration and the fundamental theorem of calculusWhat does area have to do with slope?Higher order derivativesTaylor seriesWhat they won't teach you in calculus Limits, L'Hopital's rule, and … Continue reading 3Blue1Brown Calculus Essence

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# Basic Mathematics by Shankar_3 Complex Number

Complex number z = x + iy is taught in middle school, however the deduced theory by Euler is new for me, It is deduced from Tayler series: Plugging in x = pie, we get the famous most beautiful Euler's equation: e^ipie + 1 = 0 Commonly used complex formulas are as follows As is … Continue reading Basic Mathematics by Shankar_3 Complex Number

# Basic Mathematics by Shankar_2 Integral Calculus

For me the integral problem is so interesting starting from the attempt to calculate the area of a circle, once can cut into minute rings like an onion and then stack them to form a triangle, area of which = 1/2 * r * 2pier = pie*r^2. Beautiful. To generalize this concept, mathematicians found they … Continue reading Basic Mathematics by Shankar_2 Integral Calculus

# Basic Mathematics by Shankar_1 Differential Calculus

Coronvirus is spreading all over the world now. It's a good time to go through the basic mathmatics by Shankar. There are 10 sessions in his book so I plan to document my learning progress in 10 blogs too. This is the first one - Differential Calculus. The first principle Chain rule derivativeproblem 1.2.2 D(1/x) … Continue reading Basic Mathematics by Shankar_1 Differential Calculus

# Continue Shankar’s Lecture: Quantum Mechanics III: State of Momentum Formula/Postulate

Now comes to the most difficult portion for me. It took me three times watching the video to feel more comfortable of the theory of inferring the state of momentum of a quantum particle. In the previous session, Prof. Shankar demonstrated quantum particle's peculiarity can only be described in a sai/wave function, note not a … Continue reading Continue Shankar’s Lecture: Quantum Mechanics III: State of Momentum Formula/Postulate

# Continue Shankar’s Lecture: Quantum Mechanics II: The Wave Function Normalization

Theory is developed based on experiments. I like the way Professor Shankar talked about how quantum mechanic physicists nailed the coffin of Newtonian physics by showing the famous double slit experiments. When they observed the interference phenomena, it's a natural and immediate attempt to try to explain by applying typical wave function using sin or … Continue reading Continue Shankar’s Lecture: Quantum Mechanics II: The Wave Function Normalization

# Continue Shankar’s Lecture: Quantum Mechanics I: The key experiments and wave-particle duality

Following Professor's Shankar's Physics II was quite difficult, however, since I foresee quantum computing is going to be trending and hence need to pick up quantum computing skills, it's inescapable a task to return to Prof.Shankar's virtual class. There are three pillars leading to the quantum physics early 20th century. The very first is proposed … Continue reading Continue Shankar’s Lecture: Quantum Mechanics I: The key experiments and wave-particle duality

# Linear Algebra Especially Eigenvector and Eigenvalue’s Application

It's fascinating to learn linear algebra knowing the enormous application in all kinds of verticals. From video games, neuron network to Google search, epidemic study and forensic detection. Thanks to 3Blue1Brown, we learn to look at matrix not as an abstract symbol, but a function/transformation of coordinate framework, carrying original data points to the new … Continue reading Linear Algebra Especially Eigenvector and Eigenvalue’s Application

# Speed Up SQL Queries

When dealing with large amount of data, speed is essential. The following link provides some good tips. However, the 23 tips are not very concretely related to my daily workflow, so I summarized the below: Query the large table all at once and once, when querying it, restrict in where clause to make it terse … Continue reading Speed Up SQL Queries

# Machine Learning by Andrew Ng_9 Applications

Having learned a great deal of ML theory, the end goal is for application. Prof.Ng talked about anomaly detection before he went on classical ML application - recommender system and photo OCR, he also touched in between the technique to deal with large scale of data - map reduce, data parallelogram, stochastic gradient descent and … Continue reading Machine Learning by Andrew Ng_9 Applications