https://github.com/formulae-org/package-list-js

List package for Fōrmulæ, in JavaScript
https://github.com/formulae-org/package-list-js

cartesian-product conjugate-transpose determinant dot-product formulae javascript kronecker-product list matrix matrix-multiplication powerset sorting table transpose-matrix

Last synced: 2 months ago
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List package for Fōrmulæ, in JavaScript

• Host: GitHub
• URL: https://github.com/formulae-org/package-list-js
• Owner: formulae-org
• License: agpl-3.0
• Created: 2023-04-14T04:24:11.000Z (about 2 years ago)
• Default Branch: main
• Last Pushed: 2025-03-17T04:36:06.000Z (3 months ago)
• Last Synced: 2025-03-17T05:29:02.257Z (3 months ago)
• Topics: cartesian-product, conjugate-transpose, determinant, dot-product, formulae, javascript, kronecker-product, list, matrix, matrix-multiplication, powerset, sorting, table, transpose-matrix
• Language: JavaScript
• Homepage:
• Size: 121 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# package-list-js

List (and matrix, tables) package for the [Fōrmulæ](https://formulae.org) programming language.

Fōrmulæ is also a software framework for visualization, edition and manipulation of complex expressions, from many fields. The code for an specific field —i.e. arithmetics— is encapsulated in a single unit called a Fōrmulæ **package**.

This repository contains the source code for the **list package**. It is intended to the computation on lists. Despite the name, it includes a lot of expressions related to vectors, matrices (because a matrix is a list of -same cardinallity- subslists), and tables.

The GitHub organization [formulae-org](https://github.com/formulae-org) encompasses the source code for the rest of packages, as well as the [web application](https://github.com/formulae-org/formulae-js).

### Capabilities ###

* Visualization of expressions

    * List, it is shown as $`\{ element_1, element_2, ..., element_n \}`$

    * Matrix

    * Table

* Edition

    * Manual creation of a list. It creates a list with the currently selected expression as it single element

    * Manual creation of a multi-element list of a provided number of elements

    * Manual creation of a matrix of given number of rows and columns

    * Manual creation of a table from a matrix

* Reduction

    * Related to lists/vectors

        * [Sort](https://en.wikipedia.org/wiki/Sorting) the elements of a list/vector

            * Using the natural order of its elements

            * Using a custom comparator, provided as a lambda expression  

        * [Cartesian product](https://en.wikipedia.org/wiki/Cartesian_product) of two or more lists/vectors

        * Cartesian exponentiation of a list/vector

        * [Dot product](https://en.wikipedia.org/wiki/Dot_product) of two or more lists/vectors

        * [Power set](https://en.wikipedia.org/wiki/Power_set) of two or more lists/vectors

    * Related to matrices

        * [Matrix multiplication](https://en.wikipedia.org/wiki/Matrix_multiplication)

        * [Transpose of a matrix](https://en.wikipedia.org/wiki/Transpose)

        * [Determinant of a matrix](https://en.wikipedia.org/wiki/Determinant)

        * [Kronecker product](https://en.wikipedia.org/wiki/Kronecker_product) of two or more matrices

        * [Conjugate transpose](https://en.wikipedia.org/wiki/Conjugate_transpose) of a matrix

    * Programmatic creation of list/vectors/matrices/tables

        * Creation of a list from a range e.g. 5..10