1. The derivatives of scalar function by vector Consider a scalar function by a variable as [f(u)=u^2-2u-1] where $f,u\in\mathbb{R}$. [\frac{df(u)}{du}=2u-2] The extremum is at $u=1$ in $f(u)$...

State-space representation [\dot{x}(t)=Ax(t)+Bu(t)] [y(t)=Cx(t)+Du(t)] Exponential of matrix [\dot{x}=ax \implies x=x(0)e^{at}] where $a$ is a scale constant. [\dot{x}=Ax \implies x=x(0)e^{At...

As to control systems, transient performance is as important as steady-state performance. For some special dynamic systems, transient performance is a more prior index in comparison with the ste...

Writing a New Post YAML --- title: TITLE date: YYYY-MM-DD HH:MM:SS +0900 #Tokyo categories: [TOP_CATEGORIE, SUB_CATEGORIE] tags: [TAG1, TAG2] author: <author_id> math: true #Mathematical i...

This new blog is built today! I found a Jekyll theme that meets my needs. I successfully deployed the Chirpy Jekyll Theme according to the official documentation. So the old version of the blog is...

Made by Youkoutaku import numpy as np from scipy import stats import matplotlib.pyplot as plt %matplotlib inline %precision 3 np.random.seed(0) (1) Reproductive property of normal distributio...

Made by Youkoutaku # Library Import import numpy as np import matplotlib.pyplot as plt from scipy.stats import bernoulli, binom, geom, nbinom, poisson, hypergeom, uniform, norm, expon, gamma, chi2...

1.Install Docker Install using the apt repository Get apt # Add Docker's official GPG key: sudo apt-get update sudo apt-get install ca-certificates curl gnupg sudo install -m 0755 -d /etc/apt...

Docker login docker login Error Notes >> Error saving credentials: error storing credentials - err: exec: "docker-credential-desktop": executable file not found in $PATH, out: `` sudo na...

Tmux Run tmux tmux Exit tmux Ctrl-b + d List tmux list-sessions Hotkey ctrl+b Horizontal Split window Ctrl-b + % Vertical Split window Ctrl-b + " Switch Window Ctrl-b + 0~9 Switch Pan...