Demonic composition typically refers to the arrangement of musical elements that create a dark, sinister, or unsettling atmosphere, often associated with themes of evil or the supernatural. This concept can be found in various genres of music, including metal, classical, and soundtracks for films or video games. In classical music, for example, composers like Berlioz and Mahler have utilized dissonance, unusual scales, and orchestration to evoke a sense of the macabre.
The Elvis operator is a shorthand syntax used in programming languages like Groovy, Kotlin, and others, to simplify null checks and handle default values. It allows you to return a value based on whether an expression is null or not, often making code cleaner and more concise. The operator itself is represented as `?:`. It functions as a way to express "if the value on the left is not null, return it; otherwise, return the value on the right.
Minkowski addition is an operation defined on two sets (usually in vector spaces) that forms a new set.
The term "pointwise product" can refer to different concepts in different contexts, but it commonly arises in the fields of mathematics, particularly in functional analysis and the study of sequences or functions.
A relational operator is a type of operator used in programming and mathematics that compares two values or expressions and returns a Boolean result—either true or false. Relational operators are commonly used in conditional statements and expressions to evaluate relationships between values. Here are the most common relational operators: 1. **Equal to (`==`)**: Checks if two values are equal. - Example: `5 == 5` would return `true`. 2. **Not equal to (`!
In group theory, the wreath product is a specific way to construct a new group from two given groups. It is particularly useful in the study of permutation groups and can be thought of as a form of "combining" groups while retaining certain properties.
Polar surface area (PSA) is a molecular descriptor used in cheminformatics and drug design to characterize the surface area of a molecule that is polar in nature. It specifically measures the area of a molecule that is accessible to solvent molecules (often water), focusing on the polar atoms such as nitrogen, oxygen, and halogens, which can participate in hydrogen bonding and other polar interactions.
In the context of group theory, the growth rate refers to a concept that assesses how the number of elements in the finite index subgroups of a group grows with respect to their index. More specifically, the growth rate can describe how the size of the balls in the Cayley graph of a group increases as the radius of the ball grows, which is tied to the group’s algebraic structure and properties.
The term "superstrong approximation" doesn't refer to a widely recognized concept in mainstream scientific literature or mathematics as of my last knowledge update in October 2023. It’s possible that it could refer to an advanced concept in a specialized field, or it might be a term that has emerged more recently or is used informally in specific contexts.
Ion channels are specialized protein structures embedded in the cell membrane that facilitate the movement of ions into and out of cells. These channels are crucial for various physiological processes, including the generation and propagation of electrical signals in nerve and muscle cells, the regulation of cell volume, and the maintenance of ion homeostasis within cells.
Rollover, in the context of fire, refers to a phenomenon where unburned gases in a compartment ignite and produce a sudden, intense fire event. This typically occurs when hot gases and smoke accumulate at the top of a room or enclosed space. As these gases become heated and reach their ignition temperature, they can ignite simultaneously when a sufficient amount of oxygen is available, resulting in a rapid fire spread.
The term "standard state" refers to a specific set of conditions used as a reference point in thermodynamics, particularly in the fields of chemistry and materials science. It is essential for defining properties of substances and for comparing their thermodynamic data. The standard state of a substance is typically defined under the following conditions: 1. **Temperature**: 25 degrees Celsius (298.15 K). 2. **Pressure**: 1 atmosphere (101.3 kPa).
Transcription factors are proteins that play a crucial role in the regulation of gene expression. They bind to specific sequences of DNA near the genes they regulate, thereby influencing the transcription of those genes by either promoting or inhibiting the recruitment of RNA polymerase, the enzyme responsible for synthesizing RNA from a DNA template. Transcription factors can act as activators or repressors.
The bipartite realization problem involves finding a bipartite graph that matches a given set of constraints or properties, specifically with respect to a prescribed set of edge weights or degrees. In a bipartite graph, the vertices can be divided into two disjoint sets such that no two graph vertices within the same set are adjacent.
Geoffrey Warnock (1923–2019) was a British philosopher known for his work in the fields of philosophy of mind and philosophy of language. He was particularly noted for his exploration of issues related to perception, consciousness, and the nature of reality. Warnock was influential in the development of analytic philosophy in the United Kingdom and contributed to discussions on existentialism, ethics, and the philosophy of action.
"Bloom" is a novel by author A. J. Jacobs that explores themes of family, love, and personal growth. The story follows a protagonist who embarks on a journey to understand the complexities of life and relationships through a unique lens. The title suggests themes of growth and renewal, which are often reflected in the character's experiences and challenges.
"Orbit capacity" generally refers to the ability of a particular orbital region to accommodate satellites or other space objects. This concept is crucial when considering space traffic management, satellite constellation design, and the prevention of orbital debris. In a more specific context, orbit capacity can involve factors like: 1. **Physical Space**: The amount of physical space available in a given orbit, taking into account the size and shape of the satellites, as well as the distances needed to avoid collisions.
Angular velocity is a measure of the rate at which an object rotates or revolves around a specific axis. It quantifies how quickly an angle changes as a function of time. Angular velocity is typically denoted by the symbol \(\omega\) (omega) and is expressed in radians per second (rad/s), although it can also be represented in degrees per second or other units depending on the context.
A dihedral angle is the angle between two intersecting planes. It is defined as the angle formed by two lines that lie within each of the two planes and extend in a direction that is perpendicular to the line of intersection of those planes.
Gimbal lock is a phenomenon that occurs in three-dimensional space when using Euler angles to represent orientations. It happens when two of the three rotational axes become aligned, resulting in a loss of a degree of freedom in the rotational movement.

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