Algebraic varieties are fundamental objects of study in algebraic geometry, a branch of mathematics that combines algebra, particularly commutative algebra, with geometric concepts. An algebraic variety is, broadly speaking, a geometric object defined as the solution set of a system of polynomial equations.
The term "near polygon" does not have a widely recognized definition in standard geometry or mathematics. However, it may refer to various concepts depending on the context: 1. **Computational Geometry**: In computational geometry, a "near polygon" could indicate a polygon that closely approximates another shape or object, possibly in terms of shape or boundary. This could involve applying algorithms to minimize the difference between two shapes.
Nuclear power is an important source of electricity generation in many countries around the world. As of my last update in October 2023, here is an overview of nuclear power by several key countries: ### 1. **United States** - **Reactors**: The U.S. has the largest number of operational nuclear reactors, totaling around 93.
Jen-Chieh Peng is a researcher and academic known for his work in the field of physics. His research interests may include areas such as particle physics, astrophysics, or related fields. However, to provide more specific information, it would be helpful to know the particular context or area of focus you are interested in regarding Jen-Chieh Peng.
Stellar phenomena refer to various events and characteristics associated with stars, including their formation, evolution, and eventual death. These phenomena can encompass a wide range of activities that occur in and around stars. Some key examples include: 1. **Star Formation**: The process by which gas and dust in molecular clouds collapse under gravity to form new stars.
The term "Asian physicists" generally refers to physicists from Asia or those of Asian descent who have made significant contributions to the field of physics. This can include a diverse group of individuals representing various countries, cultures, and fields of study within physics, such as theoretical physics, experimental physics, condensed matter physics, and astrophysics. Asia has produced many renowned physicists, including Nobel laureates and influential researchers who have contributed to advancing our understanding of fundamental physical principles and practical applications.
In mathematics and logic, a theorem is a statement or proposition that has been proven to be true based on previously established statements, such as axioms, definitions, and previously proven theorems. The proof of a theorem typically involves deductive reasoning and follows a logical framework. The process of proving a theorem ensures that it holds under the conditions specified and contributes to the broader body of knowledge within a particular mathematical discipline or logical system.
CENBOL, or Central Bank of Liberia, is the central banking institution of Liberia, responsible for formulating and implementing monetary policy, issuing currency, and regulating the banking sector in the country. It aims to maintain price stability and contribute to the economic growth of Liberia.
Cosmologists are scientists who study the universe as a whole, including its origins, evolution, structure, and eventual fate. They seek to understand fundamental questions about the cosmos, such as the nature of dark matter and dark energy, the formation and evolution of galaxies, the cosmic microwave background radiation, and the overall geometry of the universe. Cosmologists often utilize principles from physics and astronomy, employing both observational data and theoretical models to develop their understanding of the universe.
Metallaboranes are a class of chemical compounds that consist of boron atoms and metal atoms, forming a framework that includes clusters of boron. They are often characterized by their unique cage-like structures, which can include various transition metals. Metallaboranes are of interest in coordination chemistry and materials science due to their interesting electronic properties and potential applications in catalysis and as precursors for the synthesis of other compounds.
A cube attack is a cryptographic attack primarily used against symmetric key ciphers, specifically those that use block ciphers. It was introduced by researchers to exploit certain properties of the S-boxes (substitution boxes) used in cryptographic algorithms. ### Key Concepts of Cube Attack: 1. **Cube Polynomial Representations**: - Every function, including cryptographic functions, can be expressed as a polynomial over a finite field.
The fire point is a specific temperature at which flammable liquids produce enough vapor to support combustion, but not sustain it. It is closely related to the flash point, which is the lowest temperature at which a liquid can form an ignitable mixture with air. To clarify: - **Flash Point**: The temperature at which enough vapor ignites when exposed to an open flame or spark. - **Fire Point**: The temperature at which the vapor continues to burn after the ignition source is removed.
The J. J. Sakurai Prize for Theoretical Particle Physics is awarded annually by the American Physical Society (APS) to recognize outstanding achievements in theoretical particle physics. It was established in 2005 in honor of J. J. Sakurai, a prominent figure in the field. The prize usually acknowledges innovative research, significant contributions, and work that has had a lasting impact on theoretical particle physics.

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