This is a pragmatic useful book on python, authored by David Kopec, the topics touched on through the problems are listed below, and the source code is on github: https://github.com/davecom/ClassicComputerScienceProblemsInPython Essential TechniquesRecursionMemorizationBit ManipulationDynamic ProgrammingPermutation GenerationSearch AlgorithmsBinary SearchBreadth-First SearchDepth-First SearchA*Constraint Satisfaction ProblemsSolving Graph ProblemsRepresenting Graphs using Hybrid Adjacency ListsSearch in GraphsFinding shortest paths with Dijkstra's AlgorithmFinding … Continue reading Classic Computer Science Problems in Python

Founders of "Weights & Biases" Lukas and Chris are super successful already. The former company they created - Figure Eight provides a platform for people to label training data was sold to an Australian company for $300 million. Now they embarked on new adventure of this Weights & Biases, dedicated to educational Machine Learning. To … Continue reading Machine Learning Hands-on Learning By “Weights & Biases”

I believe the best way to learn is to do it multiple times with multiple scenarios. Other than the official tutorial program provided by Djangoproject.com, a book written by William S. Vincent is very useful too. The tile is Django for Beginners Learn web development with Django 2.0, and here is the free link. Following … Continue reading Django Step by Step in Windows_Intricacies

The concept of Neural Network can be illustrated by the MNIST number recognizing data set. Each letter can be broken up into 28X28 pixels, with each cell given a value indicating its brightness, then the whole 28X28 pixel elements are flatten to one line/row = 28*28 = 784 cells. For each cell, a random value … Continue reading Back Propagation Calculus in Neural Network

Fourier Transform is highly regarded for its impact in advancing modern technology, while its format nevertheless looks quite similar to Laplace Transform. Let's take a look: Recall from the last blog, I re-pasted the Laplace Transform below: Laplace transform, from my view, seems to help solve abstract DE as a powerful tool, while Fourier Transform … Continue reading Fourier Transform

When I was in middle school, I was always puzzled why those mathematicians would invent complex, irrational number, negative number on top of positive number. Why bother and make the route to grasp math more difficult? I took some research on Euler equation, the famously most elegant one I am amazed by and greatly interested … Continue reading From Taylor Series to Euler Equation

According to the wiki, "Laplace Transform" transforms a function of a real variable t (often time) to a function of a complex variables (complex frequency). The transform has many applications in science and engineering. It's similar to Fourier transform with a difference that Fourier transform of a function is a complex function of a real variable, while the Laplace … Continue reading Laplace Transform

I stumbled upon an article by Changwei Jun - if my memory serves me correctly - that he recalled many years later when he was in college that all the differential equations he was forced by his middle/high school teachers to memorize mechanically suddenly make full sense for him when he saw the connection between … Continue reading Eigenvector And Differential Equations

According to Einstein's special relativity, time inflates while length contracts in a moving object with high speed comparable to light speed. So people accepts that if one goes out to outer space he/she will be younger relative to the people on earth. However, speed or velocity is a relative concept - we constantly fall back … Continue reading Solve Twin Paradox by Applying Minkowski Space Geometry

The Maxwell Equations contains four components. The first is about the electric field, the second is about the magnetic field, the third is about how the change electric field generates electricity, the last one is conversely, how the change of electric field or/and electric current generates magnetism. Previously, classical Newtonian physicists have deduced the following … Continue reading Journey To Learn The Glorious Maxwell Equations_4_Integral and Differentiation Forms