The Neovius surface refers to a specific type of mathematical surface that has properties useful in the study of differential geometry and topology. It is named after the Finnish mathematician A.F. Neovius, who studied the surface and its properties. The Neovius surface is typically characterized by its complex structure, including features like cusps and self-intersections, making it interesting from the perspectives of both geometry and mathematical physics.
Supergeometry is a branch of mathematics that extends the concepts of geometry to include both geometric structures and "supersymmetrical" objects, which involve odd or "fermionic" dimensions. It arises from the study of supersymmetry in theoretical physics, where it plays a crucial role in string theory and quantum field theory. In conventional geometry, one typically works with spaces that are defined by traditional notions of points and curves in even-dimensional Euclidean spaces.
Synthetic Differential Geometry (SDG) is a branch of mathematics that provides a framework for differential geometry using a synthetic or categorical approach, rather than relying on traditional set-theoretic and analytical foundations. This approach is particularly notable for its use of "infinitesimals," which are small quantities that can be treated algebraically in a way that is similar to how they are used in non-standard analysis.
An OH/IR star is a type of late-stage star that is characterized by strong emissions of hydroxyl (OH) and infrared (IR) radiation. These stars are typically red giants or supergiants that are experiencing significant mass loss due to stellar winds. The OH emissions are produced by the molecules formed in the outer layers of the star, while the infrared emissions are typically associated with dust grains that have formed in the expanded outer atmosphere.
A sunspot is a temporary phenomenon on the Sun's photosphere that appears as a spot darker than its surroundings. Sunspots are caused by the Sun's magnetic field becoming concentrated in certain areas, which reduces the energy flow from the interior of the Sun to its surface. Consequently, these areas are cooler than the rest of the Sun's surface, resulting in their darker appearance. Sunspots typically occur in pairs or groups and vary in size and lifespan.
As of my last update in October 2023, "Superwind" could refer to a few different things, depending on the context. Without specific context, here are a couple of possibilities: 1. **Superwind (Wind Energy)**: It might refer to advanced technologies or projects in wind energy generation or wind turbine design that focus on maximizing efficiency and energy output.
A dust devil is a small,旋转的气旋,通常在干燥、沙质或尘土飞扬的地面上形成。它们通常是一个相对较小的气象现象,通常高度在几米到几十米之间,直径从几英尺到几十英尺不等。尘土旋风的形成通常需要强烈的太阳辐射,使地面的空气升温并迅速上升,产生
A gamma-ray burst (GRB) is an extremely energetic explosion that occurs in distant galaxies, characterized by the emission of intense gamma rays. These bursts are among the most luminous events known in the universe and can release more energy in a few seconds than the Sun will emit over its entire 10-billion-year lifetime.
"Starspot" can refer to a couple of different concepts, depending on the context: 1. **Astronomy**: In the context of stars, a "starspot" is analogous to a sunspot on the Sun. Starspots are cooler, darker areas on the surface of a star caused by magnetic activity. They can affect the radiation output of the star and can be important for understanding stellar activity and behavior.
Stellar mass loss refers to the process by which a star loses a portion of its mass over time, primarily in the form of stellar wind or mass ejection during various phases of its lifecycle. This phenomenon is significant in the context of stellar evolution, influencing a star's lifespan, chemical composition, and the evolution of the interstellar medium.
Quantum supremacy refers to the point at which a quantum computer can perform a calculation that is infeasible for even the most powerful classical supercomputers. It signifies a significant milestone in the field of quantum computing, demonstrating that quantum systems can solve certain problems more efficiently than classical systems. The term gained prominence in 2019 when Google announced that it had achieved quantum supremacy with its quantum processor, Sycamore.
Tachyon condensation is a concept from string theory and quantum field theory that involves the dynamics of fields with tachyonic mass, which means they have mass terms that suggest instability. In simpler terms, a tachyon is a hypothetical particle that travels faster than light and is associated with an instability in the vacuum state of a quantum field. The idea of tachyon condensation arises in scenarios where a tachyonic field appears in the spectrum of a theory.
The Kalb-Ramond field is a theoretical construct in physics, specifically in the context of string theory and higher-dimensional field theories. It is a type of antisymmetric tensor field, typically denoted as \( B_{\mu\nu} \), where the indices \( \mu \) and \( \nu \) represent spacetime dimensions.
Little String Theory (LST) is a type of theoretical framework in string theory that explores a specific kind of string theory defined in a lower-dimensional context. It is particularly fascinating because it captures some of the features of string theory while obviating some of the complexities found in more conventional string formulations. ### Key Features of Little String Theory: 1. **Reduced Dimensions**: LST is typically formulated in lower dimensions than usual string theories.
An NS5-brane, or Neveu-Schwarz five-brane, is a type of extended object in string theory. Branes, which are short for "membranes," can exist in various dimensions, and they play a crucial role in the framework of string theory, particularly in understanding non-perturbative aspects of the theory.
Boojum is a term used in the context of superfluidity and condensed matter physics. Specifically, it refers to a type of topological defect known as a "vortex" that can occur in superfluid helium-3 (He-3). The term comes from the analogy of the "Jabberwocky" story by Lewis Carroll, where a Boojum is a particular type of fantastical creature.
The Cauchy–Kovalevskaya theorem is a fundamental result in the theory of partial differential equations (PDEs) that provides conditions under which a certain class of initial value problems has solutions. Named after Augustin-Louis Cauchy and Sofia Kovalevskaya, the theorem essentially states that if the initial conditions of a certain type of PDE are satisfied, then there exists a unique analytic solution in a neighborhood of the initial value.
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





