Noble metals are a group of metals that exhibit remarkable resistance to corrosion and oxidation in moist air. They are typically characterized by their high value, ductility, and ability to conduct electricity. The primary noble metals include: 1. **Gold (Au)** - Known for its malleability, conductivity, and resistance to tarnish. 2. **Silver (Ag)** - Widely used in jewelry and electronics, though more prone to tarnishing than gold.
Noise calculation typically refers to the analysis or quantification of noise in various contexts, including environmental science, engineering, and data processing. The specifics can vary based on the application, but here are common areas where noise calculations are applied: 1. **Acoustic Noise**: In environmental studies or urban planning, noise calculations can determine the level of sound in decibels (dB) produced by traffic, construction, or industrial activities.
In mathematics, "nome" has a specific meaning related to elliptic functions. A nome is a complex variable often used in the context of elliptic integrals and functions. It is defined in relation to the elliptic modulus \( k \) (or the parameter \( m \), where \( m = k^2 \)).
The concept of a nonlocal Lagrangian refers to a type of Lagrangian formulation in field theory where the interactions (or kinetic and potential terms) are not strictly local in space and time. In contrast, a local Lagrangian depends only on field values at a single point in spacetime and their derivatives at that point. A nonlocal Lagrangian, however, may involve fields evaluated at multiple points, typically through integrals or specific nonlocal functions.
In mathematics, particularly in linear algebra and functional analysis, a norm is a function that assigns a non-negative length or size to vectors in a vector space. Norms measure the "distance" of a vector from the origin, providing a way to quantify vector magnitude.
MCRL2 (which stands for "Mathematical Computational Representation Language 2") is a specification language and model-checking tool designed for the formal verification of concurrent and distributed systems. It is particularly useful in the context of performance evaluation and verification of systems where multiple components may be interacting or executing in parallel.
Process calculus is a collection of formal approaches used to describe and analyze complex systems that involve concurrent and interacting processes. It provides a mathematical framework for modeling the behaviors of systems in which components operate simultaneously and may communicate or synchronize with one another. Key features of process calculus include: 1. **Concurrency**: Process calculus allows for the modeling of multiple processes running concurrently. It provides a way to represent interactions among these processes.
A pseudoscalar is a quantity that transforms like a scalar under proper Lorentz transformations but gains an additional minus sign under improper transformations, such as parity transformations (spatial inversion). This means that while a pseudoscalar remains unchanged under rotations and boosts (proper transformations), it changes sign when the spatial coordinates are inverted.
Rogers–Szegő polynomials are a sequence of orthogonal polynomials that arise in the theory of special functions, particularly in the context of approximation theory and the study of orthogonal functions. They are associated with certain weight functions over the unit circle and have applications in various areas including combinatorics, number theory, and mathematical physics. The Rogers–Szegő polynomials can be defined in terms of a generating function.
Sieved Pollaczek polynomials are a class of polynomials that arise in the context of orthogonal polynomials, specifically in relation to the Pollaczek polynomials. The standard Pollaczek polynomials are a type of orthogonal polynomial that have applications in various areas, such as approximation theory, special functions, and mathematical physics.
In the context of mathematics, particularly in algebra and modular forms, "Wall polynomials" often refer to certain types of polynomials associated with combinatorial structures, algebraic geometries, or specific number theoretic problems. However, it is possible that you are referring to the Wall polynomials associated with the theory of modular forms and the theory of partitions. Wall polynomials can arise in the study of modular forms, often in relation to congruences and partition identities.
An antiprism graph is a geometric representation of a three-dimensional shape known as an antiprism. An antiprism is a polyhedron characterized by having two parallel polygonal bases connected by a band of triangular faces. The most common type of antiprism is the regular antiprism, where the bases are congruent regular polygons and the triangular faces are also isosceles triangles. In graph theory, the antiprism graph can be represented as a bipartite graph.
The Biggs–Smith graph is a specific type of graph in graph theory. It is defined as a 2-regular graph with 12 vertices and 12 edges. A 2-regular graph means that each vertex has a degree of 2, which implies that the graph consists of disjoint cycles.
In graph theory, a **cage** is a special type of graph that is defined by certain properties related to its vertices and edges. Specifically, a cage is a regular graph (a graph where each vertex has the same degree) with the fewest number of edges for a given degree and a specified girth (the length of the shortest cycle in the graph).
Atoms in molecules refer to the individual atoms that come together to form molecules, which are the smallest units of a chemical compound that still maintain the properties of that compound. A molecule consists of two or more atoms bonded together by chemical bonds, which can include covalent bonds (where atoms share electrons) or ionic bonds (where atoms transfer electrons). For example, a water molecule (H₂O) consists of two hydrogen atoms and one oxygen atom.
Cube-connected cycles (CCC) is a network topology used in parallel computing and interconnecting processing elements. It is a hybrid structure that combines features of both the hypercube network and cyclical connections. The primary purpose of CCC is to facilitate efficient communication between multiple processors in a system, making it suitable for parallel processing and distributed computing environments.
Northampton Seamounts is a group of underwater volcanic mountains located in the North Atlantic Ocean, specifically within the Caribbean Sea. These seamounts are part of the larger system of underwater mountains and ridges that are found in various oceanic regions around the world. Seamounts are typically formed by volcanic activity and can provide important habitats for marine life, as they often create unique ecosystems that support diverse species.
BLIS, which stands for "Basic Linear Algebra Subprograms," is an open-source software framework designed for high-performance linear algebra computations. It focuses primarily on providing efficient implementations of dense matrix operations that are widely used in scientific computing, machine learning, and numerical analysis. BLIS is an evolution of the original BLAS (Basic Linear Algebra Subprograms) library, and it emphasizes modularity, extensibility, and performance across different hardware architectures.
LINPACK is a software library that provides routines for solving linear algebra problems, particularly systems of linear equations, linear least squares problems, and eigenvalue problems. Developed in the early 1970s by Jack Dongarra and others, LINPACK is written in Fortran and is designed to take advantage of the capabilities of high-performance computers.
DADiSP (Digital Acquisition, Display, and Processing) is a software tool used primarily for data analysis and visualization. It is widely used in engineering, scientific research, and various industries to process and analyze large sets of data. The software provides a range of functionalities, including: 1. **Data Acquisition**: DADiSP can interface with different data acquisition hardware to collect real-time data.
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





