Rico's Nerd Cluster

「离开世界之前 一切都是过程」

Linux - SSH and X Window System

X Window System, SSH, Static IP

SSH Generate an SSH Key: ssh-keygen -t rsa -b 4096. This will create ~/.ssh/id_rsa and optionally sets a passphrase Copy ssh onto a remote machine: ssh-copy-id username@rem...

Literature - The Wealthy Barber Notes

Financial Literacy

Roy’s Story “We all felt bad about Roy having to put off his dream of becoming a lawyer, but deep down we knew that he was doing the right thing. You got to be there when your family needs you,...

Math - Distance Metrics

KL Divergence , Chi-Squared Similarity

Statistical Distance & Divergence Metrics Kullback-Lebler (KL) Divergence Given two distributions, $p(x)$, and $q(x)$, denotes how different $p(x)$ is from $q(x)$, hence it further denotes ho...

Electronics - General Electronics Notes

Electronics Testing ICT (In-Circuit Testing) ICT is a type of testing performed directly on PCB to check each component for open / short circuits, incorrect part placement. Method: Build a “b...

Math - Stats Basics Recap

Basic Statistics Concepts, Regression, Distributions, Covariance & Correlation

Basic Statistics Concepts Standard Deviation and Variance Variance of a distribution can be “biased” and “unbiased”. A biased variance is to always underestimate the real bias. $$ \begin{gather*}...

Electronics - EMF and Eddy Current

Electromotive Force (EMF,电动势) In short, EMF is: 1 changing magnetic field -> induced voltage It’s characterized by the Faraday’s law: \[\begin{gather*} \begin{aligned} & \epsilon = -N \...

Math - Manifold

Manifold Definitiont A sphere is a manifold. Any two points on a sphere cannot produce another point on the sphere. However, at any point on the sphere, there’s a tangent plane where any two point...

Math - Multivariate Normal Distribution

PDF, Linear Transformation

PDF “Variate” is basically a synonym to “random variable”. If we have a vector of random variables and we want to find their joint distributution, then we call this “multivariate” distribution. I...

Math - MAP(Maximum A-Posteriori) and MLE (Maximum Likelihood Estimate)

Likelihood vs Probabilities

Likelihood VS Probabilities Probabilities describe the chances of discrete, mutually-exclusive possible states. These chances should sum up to 1. Likelihoods describe the chances or the plausibili...

Math - t-SNE

Introduction van der Maaten, Geoff Hinton and Yoshua Bengio came up with “t-SNE” (pronounced as “tee-snee”) to reduce high dimensional data down to low dimensional data, so clusters between data i...