How can we pass from $\dot z=Az+\varepsilon g(z,\dot z,t)$ to $\dot x=\varepsilon g(x,\dot x,t)$?

In wikipedia, I want to write $ $ \begin{pmatrix}\dot z_1\\dot z_2\end{pmatrix}=\begin{pmatrix}0&1\-1&0\end{pmatrix}\begin{pmatrix}z_1\z_2\end{pmatrix}+\begin{pmatrix}0\ \varepsilon g(z,\dot z,t)\end{pmatrix},$ $ in the form of $ $ \begin{pmatrix}\dot x_1\\dot x_2\end{pmatrix}=\varepsilon e^{-tA}\begin{pmatrix}0\g(x,\dot x,t)\end{pmatrix},$ $ where $ A=\begin{pmatrix}0&1\-1&0\end{pmatrix}$…

MainProcess in logging’s format %process

I configure my logging as import logging logging.basicConfig(level=logging.DEBUG, format=’%(asctime)s-%(levelname)s-%(process)d-%(processName)s- %(message)s’) logging.debug(“Start of program”) def factorial(n): logging.debug(‘Start of factorial(%s)’ %(n)) total = 1 for i in range(n+1): total *= i logging.debug(‘i…

Redirect old URL to new URL via htaccess with path

I am using HTTPS and WWW only rules in Drupal 7’s .htaccess like: RewriteCond %{HTTP_HOST} !^www\. [NC] RewriteRule ^ https://www.%{HTTP_HOST}%{REQUEST_URI} [L,R=301] # ensure https RewriteCond %{HTTP:X-Forwarded-Proto} !https RewriteCond %{HTTPS} off…

What CA signed my certificate?

I’m trying to set up a Docker image that has our internal CA certificates installed so that users across the organization can make secure requests to intranet sites. We have…