The Circle Criterion is a graphical method used in control theory and systems engineering to analyze the stability of nonlinear systems. It is particularly useful for systems described by feedback loops and nonlinear differential equations. The basic concept behind the Circle Criterion is to represent the Nyquist plot of a system's frequency response in the complex plane and determine stability conditions based on its intersection with a particular circle.
Clarence Ellis is a notable computer scientist best recognized for his contributions to the fields of computer science and human-computer interaction. He was a pioneer in the development of collaborative computing environments and has made significant contributions to the field of software engineering, particularly in the areas of computer-aided software engineering (CASE) and distributed systems.
Cliff Jones is a computer scientist known for his contributions to the fields of software engineering, formal methods, and the development of programming languages. He has worked on topics related to software specification, verification, and the use of mathematical techniques in software development. Jones is also recognized for his research in the area of program semantics and the application of formal methods in ensuring software reliability.
Clifford Truesdell (1919–2000) was an American mathematician and physicist known for his foundational work in the fields of continuum mechanics and thermodynamics. He made significant contributions to the mathematical theory of material behavior, particularly in the areas of nonlinear elasticity and plasticity. Truesdell emphasized the importance of rigorous mathematical formulations in physical theories and was known for his efforts to formalize continuum mechanics using a mathematical language.
Coset enumeration is a method used in group theory, particularly in the study of group presentations and finite groups. It provides a way to systematically explore the structure of a group given by a presentation, typically in the form \( G = \langle S \mid R \rangle \), where \( S \) is a set of generators and \( R \) is a set of relations among those generators. Here's a more detailed overview of the concept: ### Basic Concept 1.
Kir2.6, also known as KCNJ18, is a member of the inwardly rectifying potassium channel (KIR) family. Inwardly rectifying potassium channels play a crucial role in maintaining the resting membrane potential and regulating cellular excitability by allowing potassium ions (K+) to flow into cells more easily than they can flow out. This property is essential for various physiological processes, including regulating heart rhythm, neuronal firing, and smooth muscle contraction. Kir2.
The Closure Problem, in the context of mathematics and computer science, refers to several concepts where the idea of "closure" is pertinent. Here are a few contexts in which the closure problem might arise: 1. **Database Theory**: In relational databases, the closure problem refers to finding the closure of a set of attributes with respect to a set of functional dependencies.
The 38th meridian west is a line of longitude located 38 degrees west of the Prime Meridian, which runs through Greenwich, London. It is one of the meridians used in geographic coordinate systems to help express locations on the Earth's surface. This meridian runs from the North Pole to the South Pole, passing through various countries and geographic features.
The "Coachella filter" typically refers to a specific aesthetic style often associated with the popular Coachella Valley Music and Arts Festival in California. This style encompasses vibrant, bohemian, and festival-oriented fashion, often featuring bold colors, floral patterns, fringe, and eclectic accessories.
A Cobweb plot, also known as a spider plot, is a graphical representation typically used to visualize the behavior of dynamical systems, particularly in the context of iterated functions. It is often used in the study of mathematical models, recursive relationships, and systems exhibiting nonlinear dynamics. ### Features of a Cobweb Plot: 1. **Axes**: The plot has two axes.
Cocompact embedding is a concept from the field of algebraic topology and geometry, particularly in the study of groups and their actions on spaces. It refers to a specific type of embedding of a space into a larger topological space that has certain properties related to compactness and completeness. In more technical terms, a cocompact embedding usually involves a situation where a group acts on a space in such a way that the quotient of the space by the group action is compact.
Archive formats refer to file formats that are used to package multiple files and directories into a single file, often for easier storage, transfer, or backup. These formats can compress files to reduce their size, which makes them particularly useful for sending large amounts of data over the internet or for archiving purposes. Common characteristics of archive formats include: 1. **File Compression**: Many archive formats support compression, which reduces the size of the files they contain.
CHAMP stands for the "Cohorts for High Achievers in Mathematics Program." It is an outreach program designed to support and encourage high-achieving students in mathematics, often focusing on underrepresented groups in STEM (Science, Technology, Engineering, and Mathematics) fields. The program typically provides students with advanced mathematical training, resources, mentorship, and opportunities to engage in mathematical research or competitions.
Exchange algorithms are computational techniques used in various fields, including optimization, operations research, and game theory. These algorithms typically involve the process of "exchanging" elements in a solution to find better configurations or to improve an objective function. Here are a few common contexts in which exchange algorithms are employed: 1. **Local Search Algorithms**: In local search methods, an initial solution is iteratively improved by making small changes, often through the exchange of elements or values.
Expected Transmission Count (ETX) is a metric used in wireless networking to evaluate and optimize the performance of communication links in ad hoc networks and wireless mesh networks. It is a measure of the number of transmissions (both successful and unsuccessful) that are expected to occur for a packet to be successfully delivered from a source node to a destination node over a given link.
Kir6.2 is a subunit of the ATP-sensitive potassium (K_ATP) channels, which are crucial for various physiological processes, including the regulation of insulin secretion in pancreatic beta cells, muscle excitability, and neuronal activity. K_ATP channels are formed by the assembly of two types of subunits: the Kir6.x subunits (where 'x' can be 1 or 2) and the SUR (sulfonylurea receptor) subunits. Kir6.
The term "Extra Special Group" is not widely defined in common literature, organizations, or terminology as of my last knowledge update in October 2021. It could refer to a specific organization, initiative, or group focusing on unique or niche areas, but without additional context, it's challenging to provide an accurate description.
Extreme Loading for Structures (ELS) is a methodology used in structural engineering to analyze and assess the performance of structures under extreme load conditions. These loads can result from a variety of sources, including natural disasters (such as earthquakes, hurricanes, or floods), explosions, impact forces, and other unforeseen events that place significant stress on a building or structure.
Fabio Mercurio is a name that can refer to different individuals or concepts depending on the context. If you're referring to a specific person known in fields such as finance, law, or academia, please provide more details for clarification. However, it's also worth noting that the name could be associated with various topics or might be relatively lesser-known at the time of my last update.
Martin Karplus is an American theoretical chemist who is known for his contributions to the field of chemistry, particularly in the development of methods for studying the dynamics of chemical reactions. He was awarded the Nobel Prize in Chemistry in 2013, along with Michael Levitt and Arieh Warshel, for the development of multiscale models for complex chemical systems. Their work has significantly advanced the understanding of chemical processes by integrating classical and quantum mechanics, enabling scientists to predict molecular behavior and reactions more accurately.

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