In differential geometry and related fields, a **secondary vector bundle** structure is typically associated with the study of higher-order structures, particularly in the context of the geometry of fiber bundles. A **vector bundle** \( E \) over a base manifold \( M \) consists of a total space \( E \), a base space \( M \), and a typical fiber, which is a vector space.
Secure Real-time Transport Protocol (SRTP) is an enhancement of the Real-time Transport Protocol (RTP) that provides a framework for delivering audio and video over the internet securely. RTP is used widely for streaming media and supports real-time applications such as voice over Internet Protocol (VoIP), video conferencing, and online gaming.
A shear band is a localized zone of intense shear strain that forms in materials when they are subjected to shear stress. This phenomenon typically occurs in ductile materials, such as metals and polymers, under conditions of deformation. In engineering and materials science, shear bands are significant because they can lead to localized weakening, which can eventually result in failure or fracture of the material.
"Small dark spot" could refer to various things depending on the context in which it is used. Here are a few possibilities: 1. **Medical Context**: In dermatology or health, a small dark spot on the skin could indicate a range of conditions, such as a mole, a freckle, skin cancer, or other dermatological issues. It's always best to consult a healthcare professional for a proper diagnosis if you notice changes in your skin.
Shearer's inequality is a result in information theory related to the concept of conditional independence. It provides a way to bound the joint information of a collection of random variables in terms of the information of subsets of those variables.
Shear strength, in the context of geotechnical engineering and materials science, refers to the maximum stress that a material can withstand in shear before failure occurs. When discussing discontinuities, shear strength becomes particularly relevant because discontinuities, such as fractures, faults, or other planes within geological materials (like rock or soil), can significantly influence the stability and strength of the surrounding material. Discontinuities can alter the load paths, increase the potential for slippage, and introduce weaknesses in the material structure.
Shin-Tson Wu is a prominent physicist known for his work in the field of optics and condensed matter physics, especially in the areas related to liquid crystals and display technologies. He has contributed significantly to the development of liquid crystal displays (LCDs) and other photonic devices. Wu's research often focuses on the fundamental properties of liquid crystals, their applications in electronic displays, and advanced materials for photonics.
Shohini Ghose is a prominent physicist and professor known for her work in the fields of quantum physics and complex systems. She has gained recognition for her research in areas such as quantum information and quantum computing, investigating how quantum mechanics can be applied to various domains, including communication and computational problems. In addition to her research contributions, Shohini Ghose is also an advocate for science education and outreach, particularly in promoting diversity in STEM (Science, Technology, Engineering, and Mathematics) fields.
Short-termism refers to an inclination to prioritize immediate results and temporary gains over long-term benefits or sustainable outcomes. This tendency can manifest in various contexts, such as business, investing, economic policy, or personal decision-making. In the business world, short-termism might involve focusing on quarterly earnings at the expense of long-term growth, innovation, and investment.
The SIAM Journal on Numerical Analysis is a peer-reviewed academic journal published by the Society for Industrial and Applied Mathematics (SIAM). It focuses on research in the field of numerical analysis, which encompasses the development and analysis of algorithms for solving mathematical problems numerically.
The Siegel identity is a mathematical identity related to quadratic forms and the theory of modular forms in number theory. It is named after Carl Ludwig Siegel, who contributed significantly to the field. In general, the Siegel identity expresses a relationship between the values of certain quadratic forms evaluated at integer points and the values of these forms evaluated at their associated characters or modular forms. It can be considered a specific case of more general identities found within the framework of representation theory and arithmetic geometry.
In the context of the theory of algebraic groups, particularly in the study of the general linear group \( GL(n, \mathbb{C}) \) or similar groups over other fields, a **Siegel parabolic subgroup** is a particular type of parabolic subgroup that is associated with a certain block upper triangular structure.
Siegfried Grossmann is likely not a widely recognized name or term in popular culture, history, or science as of my last knowledge update in October 2021. It's possible that it could be a lesser-known individual, a fictional character, or a name that has gained prominence after my knowledge cutoff.
In mathematics, a **σ-algebra** (sigma-algebra) is a collection of sets that satisfies certain properties which make it suitable for defining measures, and is foundational in the fields of measure theory and probability.
Simon’s Problems are a classic example in the field of computational complexity and quantum computing. They were introduced by the computer scientist Daniel Simon in 1994.
A simplicial commutative ring is a mathematical structure that combines concepts from algebra and topology, specifically within the realm of simplicial sets and commutative rings. To understand simplicial commutative rings, we first need to clarify two important concepts: 1. **Simplicial Set**: A simplicial set is a construction in algebraic topology that encodes a topological space in terms of its simplicial complex structure.
In computer science, simulation refers to the process of creating a model or representation of a real-world system or process in order to analyze its behavior under various conditions. This involves the use of computer software to mimic the operation of real-world entities such as mechanical systems, biological processes, physical phenomena, or complex systems like economies and social behaviors.

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