Xoroshiro128+ is a pseudorandom number generator (PRNG) that belongs to the class of Xorshift generators. It is designed for high-quality randomness and performance, making it suitable for applications such as simulations, games, and other scenarios where random numbers are needed.
The Simulation Interoperability Standards Organization (SISO) is a non-profit organization that focuses on developing and promoting standards for modeling and simulation (M&S) interoperability. Established in the early 1990s, SISO's mission is to support the advancement of modeling and simulation through the establishment of standards that enable different systems and simulations to work together effectively.
"Sings Evergreens" is likely a reference to an album or compilation featuring classic songs that are enduringly popular, often referred to as "evergreen" tunes. These songs typically have a timeless quality and remain beloved across generations.
Skolem normal form (SNF) is a way of structuring logical formulas in first-order logic, specifically designed to facilitate automated reasoning and theorem proving. It is closely related to the process of converting logical formulas into a standardized format that makes certain operations, like satisfiability checking, more straightforward.
SkyTran is a proposed transportation system that aims to provide high-speed, efficient, and sustainable urban transit solutions using small, pod-like vehicles that run on elevated guideways. The concept envisions a network of these pods that can transport passengers smoothly above existing roadways, alleviating ground-level traffic congestion. SkyTran vehicles are designed to be highly automated and capable of operating on a demand-responsive basis, meaning they can be called upon as needed rather than following a fixed schedule.
In geotechnical engineering, the sliding criterion generally refers to the conditions under which a soil mass, slope, or structure may experience sliding or failure due to shear stress exceeding the shear strength of the materials involved. This concept is particularly important in the analysis of stability for slopes, retaining walls, and earth dams.
The Southern Illinois Salukis men's basketball program has a rich history, and various players have excelled in different statistical categories over the years. The statistical leaders typically include categories like points, rebounds, assists, steals, and blocks.
In the field of mathematical analysis, particularly in functional analysis and the theory of partial differential equations, the concepts of *test functions* and *distributions* (or generalized functions) are quite important. Here's an overview of both concepts and their relationship: ### Test Functions **Test functions** are smooth functions that have certain desirable properties, such as being infinitely differentiable and having compact support.
Witness-indistinguishable proofs are a concept in cryptography and zero-knowledge proofs. They are a type of interactive proof where the validity of a statement can be proven without revealing any specific information about the witness (or secret) used to prove the statement. ### Key Characteristics of Witness-Indistinguishable Proofs: 1. **Witness**: In the context of proofs, a witness is typically a solution or secret information that helps validate a statement.
Wolfgang Dahmen is a distinguished German mathematician known for his contributions to several areas of mathematics, including approximation theory, numerical analysis, and wavelet theory. He has made significant advancements in the mathematical foundations of wavelets and their applications in various fields, such as signal processing and data compression. Dahmen is also recognized for his work on splines, a type of piecewise polynomial function that is widely used in computer graphics, data fitting, and numerical mathematics.
In geometry, a lens is a shape formed by the intersection of two circular arcs. Specifically, it is the region bounded by two circles that overlap. The area enclosed by these arcs resembles the shape of a lens, which is the reason for its name. There are two main types of lenses: 1. **Convex Lens**: This occurs when both arcs are part of circles that are convex towards each other. The resulting lens shape bulges outward.
John von Neumann was a pioneering mathematician, physicist, computer scientist, and polymath whose contributions have inspired numerous concepts, theories, and entities. Here’s a list of notable things named after him: 1. **Von Neumann Architecture**: A computer architecture design model that outlines a system where a single memory space stores both data and instructions.
Von Neumann is a large lunar impact crater located on the Moon's surface, named after the famous mathematician and physicist John von Neumann. It is situated in the eastern part of the Moon's near side, near the edge of the Oceanus Procellarum (Ocean of Storms).
Projections onto convex sets is a mathematical concept often used in optimization, functional analysis, and convex geometry. The idea centers around finding a point in a convex set that is closest to a given point outside that set.
The Hilbert–Schmidt integral operator is a specific type of integral operator that arises in functional analysis and is connected to the theory of compact operators on Hilbert spaces. It is particularly important in the context of integral equations and various applications in mathematical physics and engineering. ### Definition Let \( K(x, y) \) be a measurable function defined on a product space \( [a, b] \times [a, b] \).
Shape Modeling International (SMI) is an annual academic conference focused on research in the field of shape modeling and related areas. It aims to bring together researchers, practitioners, and industry professionals to discuss advancements in the understanding, representation, and manipulation of shapes in various contexts, including computer graphics, computer-aided design (CAD), and geometric modeling.
WolframAlpha is a computational knowledge engine developed by Wolfram Research. Unlike traditional search engines that provide links to web pages, WolframAlpha is designed to generate specific answers and insights from a vast store of curated data, algorithms, and computational capabilities. It can answer factual queries by performing calculations, generating graphs, and providing detailed information across various domains, including mathematics, science, engineering, history, geography, and more.
MuMATH, which stands for "Multiple Use Mathematics," is a software tool designed for teaching and learning mathematics through interactive visualizations and simulations. It allows users, especially students, to explore mathematical concepts in a hands-on manner, facilitating a deeper understanding of complex topics. MuMATH is often utilized in educational settings to demonstrate various mathematical principles, including algebra, geometry, and calculus.
Mxparser is a lightweight and highly configurable mathematical expression parser and evaluator designed for Java and other programming languages. It allows users to parse, evaluate, and manipulate mathematical expressions represented as strings. Mxparser supports a wide range of mathematical functions, operators, and features, making it suitable for applications that require mathematical calculations, such as scientific computing, educational tools, and financial applications.
In the context of mathematics, particularly linear algebra and numerical analysis, a **convergent matrix** often refers to matrices that exhibit certain convergence properties under iterative processes. However, the term "convergent matrix" isn't a standard term broadly recognized like "convergent series" or "convergent sequence.

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