Schoof's algorithm is a polynomial-time algorithm used to compute the number of points on an elliptic curve defined over a finite field. The significance of this algorithm arises from its application in number theory and cryptography, particularly in elliptic curve cryptography (ECC).
Cover artists are musicians or performers who create new versions of existing songs, typically by reinterpreting them in their own style. This can involve changing aspects such as the arrangement, instrumentation, and vocal delivery to give the song a fresh perspective. Covering a song can be done in various styles, ranging from acoustic renditions to full-band versions, and can be performed live or recorded.
In music, "voicing" refers to the way chords are arranged or structured, particularly the distribution of the individual notes within a chord across different musical parts or instruments. Voicing can significantly affect the sound and texture of music. Here are a few key aspects of voicing: 1. **Chord Voicing**: This involves the selection of specific notes from a chord, their arrangement in different octaves, and how they are spread out across different musical lines or instruments.
A **monic polynomial** is a type of polynomial in which the leading coefficient (the coefficient of the term with the highest degree) is equal to 1. For example, the polynomial \[ p(x) = x^3 - 2x^2 + 4x - 5 \] is a monic polynomial because the coefficient of the \( x^3 \) term is 1.
Tsinnorit, also known as "Tsinorit" or "Tsinnoritil," is a type of mineral, specifically a hydrous alkali borate. It is a rare mineral that typically appears in some volcanic and hydrothermal environments. The mineral is noteworthy for its unique crystal structure and yellowish to colorless appearance. However, detailed information about its properties and occurrences is less commonly emphasized compared to more well-known minerals.
Shape note is a music notation system developed in the early 19th century primarily for singing in congregational settings, particularly in the context of American folk hymnody. The method uses different shapes to represent each note in a musical scale, making it easier for people, especially those who may not be familiar with traditional notation, to read and sing music. Typically, shape note systems assign distinct shapes (such as triangles, circles, squares, and diamonds) to the notes of a scale.
Plotting algorithms for the Mandelbrot set involve a set of mathematical processes used to visualize the boundary of this famous fractal. The Mandelbrot set is defined in the complex plane and consists of complex numbers \( c \) for which the iterative sequence \( z_{n+1} = z_n^2 + c \) remains bounded (i.e., does not tend to infinity) when starting from \( z_0 = 0 \).

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact