The following set of shell commands are among the basic steps to setup a Linux-based web server (LAMP=Linux Apache MySQL PHP). The procedure has been tested on an Ubuntu 14.04.05 Trusty Tahr (LTS) installation. Most steps and procedures are based on the tutorial found in DigitalOcean and in the linked pages. In the commands that […]
This post serves as a cheat sheet for differentiation. It just includes the most basic of the rules to be remembered when computing derivatives. First a little reminder on the notation being used in differentiation. Leibniz’s notation for the first derivative of a function f(x) is Newton’s notation for the first derivative of a function […]
There is a really large number of applications in engineering, in which the identification of critical points of a function is crucial for the analysis and modeling of a process or a system. Generally, one may identify three kinds of critical points, that is (a) maxima, (b) minima and (c) saddle or stationary inflection points. […]
A function is a rule that maps each of the elements in a domain to one and only one element in a range. The set of all possible elements in the input is the domain D of a function; the set of all possible elements in the output is the range R of a function. […]
Formally stated, the derivative of a function of the form with k a constant and with respect to an independent variable x, is simply, I find this to be extremely handy in all cases. Consider the simple case in which, In the same way, In a more complex example, In an even more complex example, […]
The thing starts with invariance, conservation and symmetry… Invariant is something that is unchanged by a coordinate transformation. Conserved is something that is unchanged by a process within a given coordinate system. Symmetry could be considered a broader property of some ‘universe’ in which some entity of interest remains the same under a specific operation. […]
In order to be a measure (distance) d must: In order to be a metric (distance) d has to be a measure and: …and here is the cheat sheet: Link to this post!
Strangely, although anyone can add somebody in a Twitter list, Twitter does not offer a simple “Remove me from list X” option. Adding somebody to a list is not controlled by the person being added, at least in the default Twitter setting. Nevertheless there is a way, rather awkward way that is, to remove oneself […]