The "Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics" is a reference work that compiles a wide range of topics related to supersymmetry, noncommutative geometry, and their applications in both mathematics and theoretical physics. Supersymmetry is a theoretical framework that proposes a relationship between bosons (force-carrying particles) and fermions (matter particles), leading to significant implications in particle physics and cosmology.
White noise analysis refers to the examination and study of white noise, which is a random signal or process that is characterized by its statistical properties. In the context of signal processing and statistics, white noise carries equal power across all frequencies within a given bandwidth, resembling a flat spectrum.
Berger's isoembolic inequality is a result in the field of differential geometry, particularly concerning Riemannian manifolds. The inequality deals with the comparison of volumes of geodesic balls (or "volumes" in a more general sense) in Riemannian manifolds that have certain curvature bounds.
Complex systems theory is an interdisciplinary framework used to study systems with many interconnected components that interact in various ways, leading to emergent behavior that cannot be easily understood by simply examining the individual parts. This theory is applicable in various fields such as physics, biology, economics, sociology, computer science, and ecology, among others. Key characteristics of complex systems include: 1. **Non-linearity**: The output of a complex system is not directly proportional to its input.
Generic Bootstrapping Architecture (GBA) is a conceptual framework designed to address the challenges associated with developing software systems that can efficiently load and initialize components in a modular and flexible manner. While specific implementations may vary, the core idea behind GBA generally revolves around the following principles: 1. **Modularity**: GBA encourages the use of modular components that can be independently developed, tested, and maintained. This supports better separation of concerns and allows for easier updates and modifications.
The Beurling–Lax theorem is an important result in the field of functional analysis, specifically in the study of linear operators and the theory of semi-groups. It establishes a link between the spectrum of a bounded linear operator on a Banach space and its invariant subspaces, particularly in the context of unitary operators. More specifically, the theorem is often stated in relation to one-dimensional cases and can be understood in terms of the spectral properties of a self-adjoint operator.
Biaxial nematic is a phase of liquid crystals that exhibits a unique ordering of their molecules. In standard nematic liquid crystals, the molecules are oriented primarily along a single axis (the director), exhibiting long-range order in one dimension but lacking positional order. In the case of biaxial nematics, the ordering is more complex.
Gene Wiki is an initiative aimed at creating a comprehensive, collaborative resource for information about genes and their functions. It is part of a larger trend in scientific communication that leverages the principles of wikis to allow scientists, researchers, and the public to contribute to, edit, and improve the information available on genes. This platform collects data on gene sequences, functions, associated diseases, and interactions, often pulling from various databases and publications to provide a centralized reference.
Productive nanosystems refer to advanced systems and technologies that use nanotechnology to create, manipulate, or assemble materials and devices at the nanoscale level (typically within the range of 1 to 100 nanometers). These nanosystems are designed to enhance production processes, improve efficiency, and enable new capabilities in various fields, including manufacturing, materials science, medicine, and energy.
"Biomaterials" is a scientific journal that focuses on the field of biomaterials science, which encompasses the study and application of materials that interact with biological systems. The journal typically publishes original research articles, reviews, and short communications on various aspects of biomaterials, including their design, synthesis, characterization, biocompatibility, and applications in medical and biological settings.
Bitemporal modeling is a data management concept that allows the representation and tracking of changes to data over two different time dimensions: valid time and transaction time. 1. **Valid Time**: This refers to the time period during which a fact is true in the real world. For example, if a person's address changes, the valid time would capture the duration during which each address was valid. 2. **Transaction Time**: This reflects the time period during which a fact is stored in the database.
A computer poker player is an artificial intelligence (AI) program or algorithm designed to play poker against human players or other AI opponents. These programs use various strategies and techniques to make decisions during the game, such as betting, raising, calling, or folding. Key features of computer poker players include: 1. **Game Theory**: Many advanced poker AI systems are built upon game theory principles, which help them understand optimal strategies and counter-strategies.
Project Brass Ring is an initiative by the United States Air Force aimed at developing and implementing advanced capabilities in artificial intelligence (AI) and machine learning (ML) for various aspects of military operations. The project focuses on enhancing decision-making processes, optimizing logistics, and improving operational efficiency through the application of these technologies.
In the context of isometries in Euclidean space, conjugation refers to the operation that modifies an isometry by another isometry, often to understand how certain properties change under transformations. An isometry is a distance-preserving transformation, which can include translations, rotations, reflections, and glide reflections. In Euclidean space, we can represent isometries using linear transformations (matrices) and translations (vectors).
Erskine Douglas Williamson, often referred to as E. Douglas Williamson, is best known as a British psychologist and academics, particularly for his contributions to the fields of psychology, sociology, and education. However, I couldn't find specific information about a prominent figure by that exact name as of my last update.
The European Programme for Critical Infrastructure Protection (EPCIP) is an initiative developed by the European Union (EU) to enhance the protection of critical infrastructures across member states. Established in response to emerging threats and vulnerabilities, the program aims to ensure the resilience and security of key infrastructures that are vital to the functioning of society and the economy.
Quantum cohomology is a branch of mathematics that combines concepts from algebraic geometry, symplectic geometry, and quantum physics. It arises in the study of certain moduli spaces and has applications in various fields, including string theory, mathematical physics, and enumerative geometry. At a high level, quantum cohomology seeks to extend classical cohomology theories, particularly for projective varieties, to incorporate quantum effects, which can be thought of as counting curves under certain conditions.

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