In topology, a **sequentially compact space** is a type of topological space that extends the concept of compactness in the context of sequences. A topological space \( X \) is said to be **sequentially compact** if every sequence of points in \( X \) has a subsequence that converges to a limit point in \( X \).
Sergei Korolev (1907–1966) was a prominent Soviet rocket engineer and spacecraft designer, often referred to as the "chief designer" of the Soviet space program. He played a pivotal role in the development of the first human-made satellite, Sputnik 1, which was launched in 1957, marking the beginning of the space age.
Serge Galam is a French physicist and a researcher known for his work in various fields, including statistical physics, complex systems, and social science. He has made significant contributions to the understanding of collective behavior, opinion dynamics, and the emergence of societal phenomena from microscopic interactions. His work often employs models and simulations to analyze how individual behaviors lead to collective outcomes, and he has investigate topics such as the spread of opinions, social influence, and decision-making processes.
The "Series" of mathematics books can refer to different contexts depending on what you're looking for. Generally, it may refer to a collection of books that focus on various topics in mathematics, often structured to progressively teach or explore different concepts. Here are a few possible interpretations: 1. **Textbook Series**: Many educational publishers produce series of textbooks that cover various areas of mathematics. These series are typically organized by level (e.g., beginner, intermediate, advanced) and by topic (e.g.
Seston refers to the total mass of suspended particulate matter in a given volume of water. It includes a variety of organic and inorganic particles, such as phytoplankton (microscopic plants), zooplankton (microscopic animals), detritus (decomposed organic material), and sediment. Seston is an important factor in aquatic ecosystems as it plays a crucial role in nutrient cycling, light penetration, and the food web dynamics.
Fa-Yueh Wu (also known as Wu Fa-yueh) refers to an influential figure known for his contributions in various fields.
Regularization is a mathematical technique used primarily in statistical modeling and machine learning to prevent overfitting. Overfitting occurs when a model learns the noise in the training data rather than the underlying distribution, which can lead to poor generalization to new, unseen data. The basic idea behind regularization is to impose a penalty on the complexity of the model.
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.
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.
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.
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.

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