LanternD's Castle

A series of notes that I learn Emacs hacking. Change variable globally, disabling auto-save and auto-backup; `require` keyword, enabling recent files opening, enabling delete selection mode; code block and example block fast typing; initializing Emacs with full screen; showing matching parenthesis, highlighting current line; package management system configuration; adding a new theme, hundgry delete mode, swiper, smartparens; customize-group; ordered list in org-mode; JavaScript IDE in Emacs; setting schedule in org-mode.

A series of notes that I learn Emacs hacking. Basic key mapping and functions; Emacs start up settings; introduction to "modes", company-mode; basic of package management; introduction to org-mode.

Survival function and its example; transformation of random variables, scale and rate parameters and their examples; Joint probability density and its example; independent continuous random variables.

If the PDF is symmetric about c, show that E(X)=c. This is a homework problem for course STT802-002 Theory of Probabilities and Statistics I in MSU.

Hypergeometric distribution; Poisson Law; Brownian motion; continous random variables, exponential distribution, cumulative distribution function, uniform distribution; expectation and variance of continuous random variable.

Sample mean and sample variance, biased and unbiased estimation; covariance, Hypergeometric distribution and its example; correlation coefficients; discrete distribution, Poisson distribution, Poisson approximation for the Binomial distribution.

Expectation and its theorems, Geometry distribution, Negative Binomial distribution and their examples; Theorem of linerarity, PMF of a pair of random variables, Markov's inequality; variance and its examples, uniform distribution.

Random variable, independent random variable and their examples; Bernoulli distribution, Binomial distribution.

Some of the basic probability and statistics concepts. joint probabilities, combinatories; conditional probabilities and independence and their examples; Bayes' rule.

This is the lecture note that I took on the lecture. This post serve as the overview of this series.

Microstrip transmission line is one of the basic type of transmission line in RF integrated circuit. Here is a basic/simple design example of it. This is a homework for course ECE810 RF Integrated Circuits in MSU.

Parameter estimation is one of the keystones in Adaptive control; the main idea of parameter estimation is to construct a parametric model and then use optimization methods to minimize the error between the true parameter and the estimation. Least-square algorithm is one of the common optimization methods.

MathJax is a commonly-used web-based math formula and expression render tool. Here is the test of it.

Blog migration again.