VLS-1, or Vertical Launching System-1, is a type of missile launcher used by naval vessels to launch a variety of missiles vertically from the ship's deck. The system is designed to enhance the ship's capabilities in air defense, anti-ship warfare, and land attack. VLS systems allow for quick and efficient launching of missiles without the need for exposed launchers, providing better protection for the ship and improving survivability.
Rod Stewart has an extensive catalog of songs spanning several decades. Some of his most popular and well-known songs include: 1. **"Maggie May"** - A classic hit from his early solo career. 2. **"Do Ya Think I'm Sexy?"** - A disco-influenced hit from the late 1970s. 3. **"Tonight's the Night (Gonna Be Alright)"** - A romantic ballad that reached number one on the charts.
The number 121 is a positive integer that follows 120 and precedes 122. It is a square number, as it can be expressed as \(11^2\) (11 multiplied by itself). Additionally, 121 can be factored into its prime factors as \(11 \times 11\). In the context of some other systems, the number 121 might have other meanings: - In mathematical terms, it is the product of its prime factorization.
In topology, a **paracompact space** is a topological space with a specific property regarding open covers. A topological space \( X \) is said to be paracompact if every open cover of \( X \) has an open locally finite refinement.
Constantin Simirad is not a widely recognized term or name, and there is limited information available regarding it. It may refer to a specific individual who is not in the public domain, or it could be a typo or a name related to a specific context or niche.
A Coble curve is a type of algebraic curve that arises in the study of algebraic geometry, specifically in the context of the geometry of rational curves. More precisely, Coble curves are introduced as specific types of plane curves characterized by their defining algebraic equations. The most common way to introduce Coble curves is in terms of a particular polynomial equation, typically of degree 6.
Rose Rand is a notable figure in the history of philosophy and is best known for her work in the field of feminist philosophy and her contributions to the theory of Objectivism. She was a close associate and collaborator of the philosopher Ayn Rand, but she also had her own philosophical perspectives. However, the name "Rose Rand" may refer to something else in a different context, such as a specific location, event, or another person.
Substructural logic is a category of non-classical logics that arise from modifying or rejecting some of the structural rules of traditional logics, such as classical propositional logic. The term "substructural" reflects the idea that these logics investigate the structural properties of logical inference. In classical logic, some key structural rules include: 1. **Weakening**: If a conclusion follows from a set of premises, it also follows from a larger set of premises.
Implicational propositional calculus is a subset of propositional logic focused specifically on implications, a fundamental logical connective. In propositional logic, the primary logical connectives include conjunction (AND), disjunction (OR), negation (NOT), implication (IF...THEN), and biconditional (IF AND ONLY IF). ### Key Features 1.
Double extension set theory is not a widely recognized term in standard mathematical literature. However, it may refer to a specific concept or methodology in mathematical logic, model theory, or set theory that involves an extension of traditional set theoretic concepts. In general, when we talk about "extension" in set theory, it may refer to either the process of adding new elements to a set or expanding the framework of set theory itself, such as through the development of new axioms or structures.
Kripke–Platek set theory (KP) is a foundational system in set theory that serves as a framework for discussing sets and their properties. It is particularly notable for its treatment of sets without the full power of the axioms found in Zermelo-Fraenkel set theory (ZF). KP focuses on sets that can be constructed and defined in a relatively restricted manner, making it suitable for certain areas of mathematical logic and philosophy.
"Erkenntnis" is a German term that translates to "knowledge" or "cognition" in English. It is often used in philosophical contexts to refer to the process of understanding, knowledge acquisition, or the nature of knowledge itself. The concept is particularly significant in epistemology, the branch of philosophy that studies the nature, scope, and limits of knowledge.
The International Encyclopedia of Unified Science is a comprehensive reference work that was initiated by the International Council of Scientific Unions and edited by philosopher and scientist Otto Neurath. Its goal was to promote interdisciplinary communication and collaboration among various fields of science by providing a unified framework for understanding scientific knowledge. The encyclopedia is organized into a series of volumes that cover a wide range of scientific disciplines, emphasizing the interrelationships between them.
In mathematics, particularly in the context of set theory, an **admissible set** refers to a certain type of set that satisfies specific properties related to the theory of ordinals and higher-level set theory. In model theory and descriptive set theory, an admissible set is typically defined within the framework of **Zermelo-Fraenkel set theory (ZF)** augmented by the Axiom of Choice (though in some contexts, it is discussed without the Axiom of Choice).
In mathematical set theory, particularly in the context of descriptive set theory, a **coanalytic set** (also known as a **\( \Pi^1_1 \) set**) is a type of set that can be defined as the complement of an analytic set.
The Erdős cardinal is a type of large cardinal in set theory, named after the Hungarian mathematician Paul Erdős. Large cardinals are certain kinds of infinite cardinal numbers that have strong combinatorial properties and are often used in proofs and discussions concerning the foundations of mathematics, particularly in areas that deal with set theory and the continuum hypothesis.
Petr Vopěnka is a Czech mathematician, known for his work in set theory and related areas. He has made significant contributions to various topics in mathematics, particularly in the field of topology and the foundations of mathematics. Vopěnka is also known for his involvement in mathematical education and advocacy for mathematics in the Czech Republic.
The term "subcompact cardinal" typically refers to a particular classification of cardinal numbers in set theory. In mathematical set theory, particularly in the context of large cardinals, the concept of "subcompact" is a specific property of certain cardinal numbers. A cardinal \( \kappa \) is said to be **subcompact** if it satisfies certain conditions related to elementary embeddings and the structure of models of set theory.
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





