The term "vertex function" can refer to different concepts based on the context in which it is used, particularly in mathematics, computer graphics, and physics. Here are some common interpretations: 1. **Graph Theory**: In graph theory, a "vertex function" may refer to a function that assigns values or properties to the vertices (or nodes) of a graph.
Quaternary structure refers to the highest level of protein organization. It involves the assembly of multiple polypeptide chains, known as subunits, that come together to form a functional protein complex. Each subunit in a quaternary structure can be identical or different, and the interactions between these subunits are crucial for the protein's overall functionality. The interactions that stabilize quaternary structures include hydrogen bonds, ionic bonds, hydrophobic interactions, and disulfide bridges.
The protests against SOPA (Stop Online Piracy Act) and PIPA (Protect IP Act) were significant events that took place in early 2012 in response to proposed legislation in the United States aimed at combating online copyright infringement. **Background:** - **SOPA:** Introduced in the House of Representatives, SOPA aimed to give copyright holders the ability to take down infringing content and block access to foreign websites that hosted or linked to pirated content.
Canwarn, or the Canadian Weather Amateur Radio Network, is a program in Canada that involves amateur radio operators who help to monitor and report severe weather conditions. This initiative is primarily aimed at enhancing public safety by providing timely information about severe weather events such as thunderstorms, tornadoes, and floods.
Capacity-achieving codes are a class of error-correcting codes that can theoretically approach the maximum possible efficiency for data transmission over a noisy communication channel. The term "capacity" refers to the channel capacity, which is the maximum rate at which information can be transmitted over a communication channel with an arbitrarily low probability of error, as defined by Shannon's channel capacity theorem.
Asymptotic geometric analysis is a branch of mathematics that combines techniques from geometry, functional analysis, and asymptotic analysis to study the geometric properties of spaces, particularly in the context of high-dimensional analysis. It often focuses on how geometric structures behave as dimensions grow large or as certain parameters tend to infinity.
George Clinton and His Gangsters of Love is a musical project led by George Clinton, a prominent figure in funk music known for his work with bands like Parliament and Funkadelic. Clinton is famed for his eclectic style, vibrant performances, and innovative contributions to the genre. The Gangsters of Love is one of the various iterations of his musical endeavors, often characterized by their funky sound and playful lyrics.
Species distribution modeling (SDM) is a set of statistical and computational techniques used to predict the geographic distribution of species based on environmental and ecological data. The primary goal of SDM is to understand the relationships between species and their environments, allowing researchers to map and predict where species are likely to occur under current and future conditions. Here are the key components and methods associated with species distribution modeling: 1. **Data Collection**: SDM relies on occurrence data (i.e.
Carbon-13 (C-13) is a stable isotope of carbon, which has an atomic mass of approximately 13 atomic mass units (amu). It consists of six protons and seven neutrons in its nucleus, distinguishing it from the more common carbon isotope, Carbon-12 (C-12), which has six protons and six neutrons. Carbon-13 makes up about 1.1% of all naturally occurring carbon in the environment.
CD90, also known as Thymocyte Differentiation Antigen 1 (Thy-1), is a cell surface glycoprotein that is primarily expressed on T cells, but it can also be found on neurons, fibroblasts, and several other cell types. It is involved in a variety of biological processes, including cell adhesion, signaling, and immune response regulation.
Carbon-12 (\(^12C\)) is a stable isotope of carbon, which is one of the fundamental elements in chemistry and biology. It is the most abundant carbon isotope, accounting for about 98.9% of all naturally occurring carbon.
Functional design refers to a design approach that emphasizes the functionality and usability of a product or system. This approach prioritizes the specific requirements and functions that a product must fulfill, ensuring that it meets user needs effectively. Functional design can be applied across various fields, including software development, product design, architecture, and engineering. Key characteristics of functional design include: 1. **User-Centric Focus**: It starts with understanding the end users and their requirements, which guides the design process.
Spectral flux density (SFD) is a quantitative measure used in various fields, particularly in physics and astronomy, to describe the amount of energy or power emitted by a source of radiation at different wavelengths or frequencies per unit area. In more general terms, it represents how the intensity of a signal varies over frequency or wavelength.
Carbon-13 nuclear magnetic resonance (¹³C NMR) is a type of nuclear magnetic resonance spectroscopy that specifically targets the carbon-13 isotope of carbon. In this technique, the magnetic properties of carbon-13 nuclei, which have a nuclear spin of 1/2, are utilized to provide information about the structure, dynamics, and environment of carbon-containing compounds.
The term "Central Bureau" can refer to various organizations or entities, depending on the context in which it is used. Here are a few possible interpretations: 1. **Government Agencies**: In some countries, a Central Bureau may refer to a governmental department or agency responsible for specific functions, such as statistics, investigations, or internal affairs.
The Hartree-Fock (HF) method is a fundamental approach in quantum chemistry and computational physics used to approximate the electronic structure of many-electron atoms and molecules. It simplifies the complex problem of interacting electrons in a field created by themselves and their nuclei by making several key approximations. ### Key Features of the Hartree-Fock Method: 1. **Mean-Field Theory**: HF is based on the assumption that each electron moves in an average field created by the other electrons and the nuclei.
A Card Verifiable Certificate (CVC) is a type of digital certificate designed to provide a secure and verifiable method for authenticating the identity of individuals, particularly in relation to payment cards or identity cards. CVCs are commonly used in the context of EMV (Europay, MasterCard, and Visa) standards, which govern secure chip card transactions.
Aubin–Lions lemma is a result in the field of functional analysis, particularly in the study of the convergence of sequences of functions, and is often used in the context of nonlinear partial differential equations. The lemma provides conditions under which compactness can be guaranteed for a sequence of functions in certain function spaces. More specifically, it deals with the convergence properties of families of bounded sets in reflexive Banach spaces.
Inverse kinematics (IK) is a computational method used in robotics, computer graphics, and animation to determine the joint configurations needed for a system (such as a robotic arm or character model) to achieve a desired end position or orientation of its limb or end effector (like a hand or a foot).
Hausdorff density is a concept used in measure theory and geometric measure theory, particularly in the study of sets in Euclidean space or more general metric spaces. It offers a way to evaluate the "size" of a set, particularly when classical notions of measure (like Lebesgue measure) may not apply or are insufficient.

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