In the context of mathematics and particularly in set theory or function theory, "Out(Fn)" is not a widely recognized standard notation or term. However, it may relate to various concepts depending on what "Fn" specifically denotes. If "Fn" represents a function, for instance, "Out(Fn)" could refer to the output of that function.
In the context of special relativity, acceleration refers to the change in velocity experienced by an object over time. Special relativity, formulated by Albert Einstein in 1905, deals with the physics of objects moving close to the speed of light and has several implications for how we understand motion and acceleration. Here are some key points about acceleration in special relativity: 1. **Proper Acceleration**: This is the acceleration that an object experiences as measured by an accelerometer carried with it.
Fermi acceleration refers to a process by which particles gain energy in a system where they are repeatedly scattered by moving obstacles. It is named after the physicist Enrico Fermi, who introduced this concept in the context of cosmic rays. In simple terms, the mechanism involves a particle (such as a proton) that moves through a medium filled with moving obstacles (like shock waves, magnetic fields, or other particles). When the moving particle interacts with these obstacles, it can gain kinetic energy.
Parasitic capacitance refers to the unintended capacitance that occurs between conductive elements in an electrical circuit or device. This capacitance is not intentionally designed into the circuit but arises from the proximity of conductive parts, such as traces on a printed circuit board (PCB), wires, or components. It can affect circuit performance in various ways, particularly at high frequencies.
Igor Mezić is a prominent researcher and mathematician known for his contributions to fields such as systems theory, control theory, and dynamical systems. He has worked extensively on topics that involve mathematical modeling and analysis of complex systems. Mezić is particularly recognized for his work on system dynamics, spectral analysis, and techniques related to the Koopman operator, which plays a crucial role in the study of nonlinear dynamical systems.
Regenerative capacitor memory, often referred to in the context of capacitive memory technologies, involves the use of capacitors as storage elements that can retain data by perpetually refreshing (or "regenerating") the charge stored within them. This is typically done to prevent data loss due to leakage and to maintain the integrity of the stored information. The basic principles of regenerative capacitor memory include: 1. **Capacitance as a Storage Method**: Data is stored as an electrical charge across capacitors.
The International System of Units (SI) defines seven base quantities, each associated with a specific physical property. These base quantities form the foundation for all other derived units in the system. The seven SI base quantities and their corresponding units are: 1. **Length** - Base Quantity: Length - Unit: Meter (m) 2. **Mass** - Base Quantity: Mass - Unit: Kilogram (kg) 3.
"Amplitude" can refer to different concepts depending on the context: 1. **Physics**: In physics, amplitude is the maximum extent of a vibration or oscillation, measured from the position of equilibrium. For waves, such as sound or light, it refers to the height of the wave from the midpoint (or equilibrium position) to its peak. Higher amplitude usually means greater energy or intensity.
Angular momentum coupling refers to the way angular momentum is combined or related when multiple systems, particles, or contributions are involved. In quantum mechanics, this concept is particularly significant when dealing with systems that have multiple angular momentum contributions from different particles or subsystems. Here are some key points to understand about angular momentum coupling: 1. **Total Angular Momentum**: In a system with multiple particles, each with its own angular momentum, the total angular momentum is the vector sum of the individual angular momenta.
Specific angular momentum is a physical quantity that represents the angular momentum of an object per unit mass. It is commonly denoted by the symbol \( h \) or \( \mathbf{l} \), depending on the context. Specific angular momentum is useful in orbital mechanics and dynamics to analyze the motion of bodies in gravitational fields, such as planets, satellites, and spacecraft.
Bulk density is a measure of the mass of a material per unit volume, including the space occupied by the particles themselves as well as the voids or spaces between them. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). Bulk density is an important property in various fields, including soil science, material science, and the transport and storage of granular materials.
A **characteristic property** is a chemical or physical property that is unique to a particular substance and can be used to help identify it. Unlike properties that may change depending on the amount of the substance or its state, characteristic properties remain consistent regardless of the sample size or conditions, providing a reliable means of identification. Examples of characteristic properties include: 1. **Density**: The mass per unit volume of a substance. Each material has a specific density that can help in identification.
The conductance quantum is a fundamental physical constant that represents the quantized unit of electrical conductance. It is denoted by \( G_0 \) and defined as: \[ G_0 = \frac{2e^2}{h} \] where: - \( e \) is the elementary charge, approximately \( 1.602 \times 10^{-19} \) coulombs, - \( h \) is Planck's constant, approximately \( 6.
Critical Relative Humidity (CRH) is a concept primarily used in the fields of materials science, environmental science, and meteorology. It refers to a specific level of relative humidity at which certain physical or chemical processes occur dramatically or exhibit critical changes. This can apply to a variety of contexts, such as: 1. **Hygroscopic Materials**: For materials that absorb moisture from the air, the CRH is the humidity level above which they begin to take up water significantly.
Delta-v (Δv) is a term used in physics and astrodynamics to describe a change in velocity. It quantifies the amount of effort needed to change an object's velocity and is often associated with space travel and spacecraft maneuvering. Delta-v is crucial for missions that involve changing orbits, escaping gravitational fields, or executing course corrections.
A cylinder is a three-dimensional geometric shape characterized by its two parallel circular bases connected by a curved surface at a fixed distance from the center of the bases. Here are some key characteristics of a cylinder: 1. **Bases**: A cylinder has two circular bases that are congruent (the same size and shape) and parallel to each other. 2. **Height**: The height (h) of a cylinder is the perpendicular distance between the two bases.
A hendecagon, also known as an undecagon, is a polygon with eleven sides and eleven angles. The term comes from the Greek words "hendeca," meaning eleven, and "gonia," meaning angle. In geometry, each interior angle of a regular hendecagon (where all sides and angles are equal) measures approximately 147.27 degrees, and the sum of the interior angles of a hendecagon is 1620 degrees.
Euclidean tilings, or tiling of the Euclidean plane, involve the covering of a flat surface using one or more geometric shapes, called tiles, with no overlaps or gaps. In mathematical terms, they can be described as arrangements of shapes in such a manner that they fill the entire plane without any voids or overlaps.
A 65537-gon is a polygon that has 65,537 sides. The term can also refer specifically to an interesting mathematical property of polygons in relation to constructible polygons.

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 5. . 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.
  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