Marco Cetica

A Taylor polynomial is a polynomial constructed from the derivatives of a function at a given point.

L’Hôpital’s Rule is a technique for evaluating limits of functions involving quotients.

The theorems we will cover in this document provide fundamental tools for analyzing the behavior of real-valued functions using the concept of the derivative.

In analysis, the derivative is a fundamental tool that is used to determine the rate of change of a function with respect to its independent variable.

In this document we will study the extreme value theorem, which is an important result regarding the existence of maximum and minimum values of a function defined in a closed and bounded interval.

The squeeze theorem (also known as the two policeman theorem) is a theorem regarding limits of functions (or sequences) that is used to determine the limit of a function bounded between two other functions.

The standard definition of continuity usually presented in elementary mathematics texts describes a function as continuous if its graph can be traced “without lifting the pencil from the paper”.

In analysis, a limit is a fundamental concept that is used to study the behavior of a function as its argument approaches a given value $x_0$ or tends to infinity.

In mathematics, a function is a special kind of relation between two given sets.

In this document, we will give a brief introduction to the theory at the core of mathematics: set theory.

An inequality is an expression that states the relationship between two mathematical quantities that are not equal.

A fractional equation is an equation that contains at least one fraction with an unknown variable in the denominator.

The set of complex numbers, denoted by $\mathbb{C}$, is a set of numbers that extends the real numbers.

During one of my latest gigs, I had to perform data recovery and security analysis on machines from an ephemeral environment such as a live ISO.

zFetch Lightweight system information fetcher for Linux.

In this guide we will see how to install a minimal Arch Linux system on a UEFI x86_64 machine with LUKS encryption.

VulcanOS Monolithic x86 kernel written in C and Assembly [Source Code] VulcanOS is an x86 monolithic kernel written in C from scratch and built around the UNIX philosophy.

Datum Collection of dynamic and generic data structures.

backup.py Modular and lightweight backup utility [Source Code] backup.py is a small and lightweight backup utility written in Python that lets you save, encrypt and verify your personal data.

In an age when your data is constantly tracked, profiled and sold, having a private and self-hosted alternative to host your personal repositories has become extremely important, especially if you use Git for more than just hosting open-source projects and

The Debian installer provides a versatile approach which allows users to cover most installation scenarios, from simple setups to advanced configurations.

In this guide, we will outline the process of installing and configuring a Wireguard VPN integrated with Pi-Hole for DNS level ad blocking.

Buildroot is a set of tools to simplify the process of bootstrapping a Linux distribution for embedded devices.

In this guide we will see how to use FreeBSD Jails using the Z file system.