The Banks–Zaks fixed point is a concept in quantum field theory and statistical physics, particularly in the study of quantum phase transitions and the behavior of gauge theories. It refers to a non-trivial fixed point in the renormalization group flow of certain quantum field theories, specifically the case of three-dimensional supersymmetric gauge theories or certain four-dimensional gauge theories with specific matter content.
In the context of mathematics and physics, particularly in the fields of differential geometry and conformal geometry, a "conformal family" typically refers to a collection of geometric structures (such as metrics or shapes) that are related through conformal transformations. Conformal transformations are mappings between geometric structures that preserve angles but not necessarily lengths. In simpler terms, two geometries are said to be conformally equivalent if one can be transformed into the other through such a transformation.
The Coset construction is a method in group theory, a branch of mathematics, that helps to build new groups from existing ones. It is particularly useful in the context of constructing quotient groups and understanding the structure of groups.
The Knizhnik–Zamolodchikov equations (KZ equations) are a set of linear partial differential equations that arise in the context of conformal field theory and quantum groups. They were introduced by Vladimir Knizhnik and Alexander Zamolodchikov in the late 1980s. These equations are particularly relevant in the study of vertex operators, conformal field theories, and the representation theory of quantum affine algebras.
The Coase Conjecture is a concept in economics proposed by economist Ronald Coase. It addresses the behavior of firms when they sell durable goods, particularly how they set prices over time. The conjecture suggests that if a firm sells a durable good (a product that lasts a long time, like cars or appliances) and has market power, it will face a challenge in setting prices optimally.
The Conley Conjecture is a proposition in the field of dynamical systems, particularly related to the study of Hamiltonian systems and their behavior in the context of symplectic geometry. Formulated by Charles Conley in the early 1970s, the conjecture specifically concerns the existence of certain types of periodic orbits for Hamiltonian systems.
Superconformal algebra is an extension of the conformal algebra that incorporates supersymmetry, a key concept in theoretical physics. Conformal algebra itself describes the symmetries of conformal field theories, which are invariant under conformal transformations—transformations that preserve angles but not necessarily distances. These symmetries are important in various areas of physics, particularly in the study of two-dimensional conformal field theories and in string theory.
The Witt algebra is a type of infinite-dimensional Lie algebra that emerges prominently in the study of algebraic structures, particularly in the context of mathematical physics and algebra. It can be thought of as the Lie algebra associated with certain symmetries of polynomial functions.
The Calogero conjecture, proposed by Salvatore Calogero in the early 1990s, is a conjecture in the field of mathematical physics, specifically in the study of integrable systems. It generally concerns certain mathematical structures known as "Calogero-Moser systems," which are defined on a set of particles interacting through a specific type of potential. The conjecture itself relates to the behavior of the eigenvalues of certain matrices that arise in the context of these systems.
Tank blanketing, also known as inert gas blanketing or nitrogen blanketing, is a process used to create an inert atmosphere in storage tanks that contain volatile liquids or chemicals. The primary purpose of tank blanketing is to prevent the formation of explosive mixtures with air, reduce product evaporation, and minimize contamination. In tank blanketing, an inert gas (commonly nitrogen or sometimes carbon dioxide) is introduced into the space above the liquid in the tank.
The term "composant" is French for "component." In various contexts, it refers to a part or element that can be combined with others to form a larger system or structure. Here are some contexts where "composant" might be relevant: 1. **Software Development**: In programming, a "composant" can refer to a reusable software component, such as a module or library that encapsulates functionality.
In mathematics, particularly in topology, a **dendrite** is a specific type of topological space that is characterized by a number of distinct features. Here are the key properties and definitions associated with dendrites: 1. **Tree-like Structure**: A dendrite can be thought of as a continuum (a compact, connected metric space) that resembles a tree. It is typically connected and does not contain any loops, which means it is locally tree-like.
BELBIC stands for "BElimumab for the treatment of systemic lupus erythematosus." It refers to a specific medication (Belimumab) used in the treatment of systemic lupus erythematosus (SLE), which is an autoimmune disease. Belimumab works by inhibiting the activity of B-lymphocyte stimulator (BLyS), a protein that plays a role in the survival of B cells, which are involved in the autoimmune response.
Computational steering is a technique used in high-performance computing, simulation, and modeling that allows users to interactively guide and control the execution of a computational process in real time. This capability enables researchers and engineers to make decisions on-the-fly based on the output of simulations, which can be critical for optimizing performance, improving results, and managing complex systems.
An inertia wheel pendulum is a mechanical device that combines the principles of a pendulum with the dynamic characteristics of a rotating wheel or flywheel. It typically consists of a wheel mounted on a pivot, allowing it to swing back and forth like a pendulum while also rotating about its axis. The key features of an inertia wheel pendulum include: 1. **Pendulum Motion**: The system exhibits oscillatory motion, similar to a traditional pendulum.
The International Conference on Mechanical, Industrial & Energy Engineering (ICMIEE) is a scholarly event that brings together researchers, professionals, academics, and industry experts to discuss advancements and innovations in the fields of mechanical engineering, industrial engineering, and energy engineering. The conference typically features a range of activities, including: 1. **Technical Presentations**: Researchers present their findings and innovations through lectures and presentations.
The International Federation of Automatic Control (IFAC) is a multinational organization that serves as a global forum for the advancement and dissemination of theory and practice in the field of automatic control and systems engineering. Founded in 1960, IFAC aims to promote the study and application of automatic control in various domains including engineering, economics, and social sciences.
Remote monitoring and control refer to the techniques and technologies that allow individuals or organizations to observe and manage systems, processes, or devices from a distance, typically using network connections such as the internet. This approach is commonly applied in various fields, including industrial automation, healthcare, environmental monitoring, and smart homes, among others. Here’s a breakdown of the components involved: ### Remote Monitoring: 1. **Definition**: It involves the continuous observation of a system or device to collect data and performance metrics.
Charles Stark Draper (1901–1987) was an influential American engineer and educator, known primarily for his pioneering work in the fields of guidance and control systems, particularly in the context of aerospace and missile technology. He played a significant role in the development of the inertial navigation systems that are crucial for modern aviation and space exploration.
Arthur J. Krener is an American mathematician known for his contributions to control theory and differential equations. His research has focused on topics such as nonlinear systems, feedback control, and state estimation. He has also worked on concepts related to dynamic systems, stability, and observer design. Krener's work has been influential in both theoretical aspects and practical applications of control theory in engineering and related fields.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





