Unicode Math Symbols
2017-07-28 | #mathematics
A curated selection of essential mathematical symbols I found useful form my daily tasks. From calculus to greek letters.
∑ymbols ∫f Μath: ∀ ∃ ⊂🧮 ∩𝛍∀ ∑Σ, ♇𝛆Δ⇒⊢ ∃∀⇔ 𝛈𝜆𝛀⊆ ✍️🔢 ∃⇑ ∑𝚄𝚗𝚒𝚌𝚘𝚍𝚎’𝚜 ℝ𝕖⇧⊇📈 𝕋⊂⊆∈🔢
Fermat's Little Theorem and Euler's Theorem
2017-07-23 | #mathematics #number-theory
Fermat’s Little Theorem, a precursor to Euler’s, provides a simple yet powerful relationship between prime numbers and modular exponentiation.
Euler’s Theorem generalizes this relationship to all integers, offering a broader perspective on modular arithmetic.
GPG Essentials
2017-07-05 | #cryptography #tooling
Introduction
GnuPG is a hybrid-encryption software program because it uses a combination of conventional symmetric-key cryptography for speed, and public-key cryptography for ease of secure key exchange, typically by using the recipient’s public key to encrypt a session key which is used only once.
The Monty Hall Problem
2017-07-05 | #probability
The Monty Hall problem is a counter-intuitive statistics puzzle loosely based on the American television game show Let’s Make a Deal and named after its original host, Monty Hall.
The Game
- There are three doors, behind which are two goats and a car;
- You randomly pick a door;
- Monty, examines the other two doors and always opens one of them with a goat.
Do you stick with the original guess or switch to the other unopened door?
Classical Ciphers
2017-05-26 | #cryptography #history
All modern ciphers are based on some kind of substitution operation.
A block of bits is substituted with another block of bits according to a given table or algorithm.
Monoalphabetic cipher: the same element in the plaintext alphabet is always encrypted to the same element in the ciphertext alphabet.
Euclidean Algorithm
2017-04-16 | #mathematics #number-theory
A fundamental and efficient algorithm to compute the greatest common divisor
(gcd) of two integer numbers.
Given two integers a and b, the algorithm comes in two flavors:
- basic: yields the
gcd(a,b); - extended: yields two integers
xandysuch thatgcd(a,b) = a·x + b·y
As a notational shortcut from now on we’ll write (a,b) instead of gcd(a, b).
Abstract Syntax Notation 1
2017-03-02 | #encoding #standards
ASN.1 is a standard notation syntax defined in ITU-T X.680 to describe rules and structures for representing data in telecommunications and computer networking.
ASN.1 itself does not mandate any encoding or parsing rules, but usually ASN.1 data structures are encoded using the Basic Encoding Rules (BER), described in ITU-T X.690, or the Distinguished Encoding Rules (DER), a subset of BER.
AT Commands Reference
2016-11-26 | #communications #standards
The Hayes command set, also called the AT command set, is a specific command language originally developed by Dennis Hayes[1] for the Hayes Smartmodem 300 baud modem in 1981.
The command set consists of a series of short text strings which can be combined to produce commands for operations such as dialing, hanging up, and changing the parameters of the connection. The vast majority of dial-up modems use the Hayes command set in numerous variations.
Bash Shortcuts
2016-08-02 | #bash #tooling
The bash shell has a very rich set of convenient shortcuts. This ability to edit the command line is provided by the GNU Readline library.
Readline keybindings are taken from the Emacs text editor.
The Mighty Unix History
2016-06-02 | #history #unix
UNIX is a family of operating systems that derive from the original AT&T UNIX, developed in the 1970s at the Bell Labs research center by Ken Thompson and Dennis Ritchie.