Eigenstrain is a concept in the field of solid mechanics and material science that refers to a type of internal strain in a material that results from microstructural changes, such as phase transformations, dislocation movement, or other alterations in the material's microstructure, rather than from external loads or boundary conditions. Unlike ordinary strains that occur due to external forces applied to a material, eigenstrains are 'internal' and are typically associated with specific regions or features within the material.

Recursive economics is a concept that generally refers to economic models or analyses that utilize recursive methods to understand and evaluate economic behaviors and systems over time. The term "recursive" itself indicates that the process involves referencing or repeating a certain operation or set of operations. In the context of economics, recursive methods can often be found in: 1. **Dynamic Programming**: This approach is used to solve optimization problems where decisions are made at various time periods, and the outcomes depend on previous decisions.

Standard Telephones and Cables (STC) is a company that was historically involved in the manufacturing of telecommunications equipment and related technologies. Founded in the early 20th century, STC became known for its production of telecommunication systems, cables, and devices, contributing to the development of telephone networks and infrastructure. The company played a significant role in the telecom sector, particularly in the UK, supplying equipment for both domestic and international markets.

Uranium ruthenium silicide (often referred to as URuSi) is a compound that consists of uranium (U), ruthenium (Ru), and silicon (Si). It is of interest in the field of materials science and condensed matter physics due to its unique properties, which can include interesting electrical and magnetic behaviors.

In the context of mathematics and differential equations, a **Liouvillian function** is defined in relation to the field of differential algebra, particularly the study of solutions to differential equations. A Liouvillian function is one that can be expressed in terms of a finite combination of well-known functions and operations, including: 1. Algebraic operations (addition, subtraction, multiplication, division). 2. Exponential and logarithmic functions. 3. Integration of Liouvillian functions.

The Chaos Communication Congress (CCC) is an annual conference organized by the Chaos Computer Club (CCC), which is one of the largest and oldest hacker organizations in Europe. The conference typically focuses on topics related to technology, computer security, privacy, digital rights, and the implications of technology on society. The event brings together hackers, technology enthusiasts, researchers, and activists from around the world to share knowledge, discuss current issues, and collaborate on various projects.

Philco, originally known as the Philadelphia Storage Battery Company, was an American company founded in the 1890s. Initially focused on battery production, the company diversified into various electronics and consumer products, including radios and televisions. In the mid-20th century, Philco became known for its innovations in electronics, and it expanded into the computer market.

Mathematical examples can encompass a wide range of concepts, theories, and calculations across different branches of mathematics. Below are various examples across different areas: ### Arithmetic 1. **Addition**: \[ 7 + 5 = 12 \] 2. **Subtraction**: \[ 15 - 4 = 11 \] 3.

Mathematics and culture are intertwined in various ways, reflecting how mathematical ideas influence, and are influenced by, the cultural contexts in which they develop. Here’s an overview of their relationship: ### 1. **Mathematics as a Universal Language** - Mathematics is often regarded as a universal language that transcends cultural and linguistic barriers. Fundamental mathematical concepts, such as numbers and basic operations, are understood similarly across different cultures. ### 2.

Analytic philosophy is a tradition in Western philosophy that emphasizes clarity of expression, logical reasoning, and the use of formal logic to analyze philosophical problems. This approach emerged in the early 20th century, primarily in the English-speaking world, and is often contrasted with continental philosophy, which may focus more on historical context, existential themes, and subjective experience.

The Analytical Society was a group formed in the early 19th century, primarily in Britain, that aimed to promote the use and understanding of analytical methods in mathematics, particularly calculus. Founded in 1813, it was a response to the predominance of the traditional calculus taught in British universities, which was often based on the work of Newton rather than the more rigorous methods developed by mathematicians like Joseph-Louis Lagrange and Augustin-Louis Cauchy.

A tensor is a mathematical object that generalizes scalars, vectors, and matrices to higher dimensions. Tensors are used in various fields such as physics, engineering, and machine learning to represent data and relationships in a structured manner. ### Basic Definitions: 1. **Scalar**: A tensor of rank 0, which is a single number (e.g., temperature, mass).

Geometry is a branch of mathematics that deals with the properties, measurements, and relationships of points, lines, shapes, and spaces. It encompasses various aspects, including: 1. **Shapes and Figures**: Geometry examines both two-dimensional shapes (like triangles, circles, and rectangles) and three-dimensional objects (like spheres, cubes, and cylinders). 2. **Properties**: It studies properties of these shapes, such as area, perimeter, volume, angles, and symmetry.

In the context of Wikipedia and other collaborative encyclopedia projects, a "stub" is a short article or entry that provides limited information on a topic and is often marked for expansion. The "History of mathematics" stubs would refer to short articles related to various aspects of the historical development of mathematics that need further elaboration. These stubs can cover a wide range of topics, such as: - Key mathematicians and their contributions throughout history. - Important mathematical discoveries and theories.

Mathematical problems are questions or challenges that require the application of mathematical concepts, principles, and techniques to find solutions or answers. These problems can arise in various fields, including pure mathematics, applied mathematics, engineering, science, economics, and beyond. Mathematical problems can be categorized in several ways: 1. **Type of Mathematics**: - **Arithmetic Problems**: Involving basic operations like addition, subtraction, multiplication, and division.

In graph theory, a "map" typically refers to a representation of a geographical area or a network of connections that can be modeled using graphs. This involves vertices (or nodes) and edges (or links) that represent different entities and their relationships. In one common interpretation, a map can refer to a planar graph, which is a graph that can be embedded in the plane without any edges crossing each other.

Eudemus of Rhodes was an ancient Greek philosopher and a significant figure in the Peripatetic school, which was founded by Aristotle. He is generally thought to have lived during the 4th century BCE and is most commonly recognized for his contributions to ethics and the study of logic, as well as for his work on the history of philosophy, particularly his study of previous philosophical doctrines. Eudemus is often noted for his efforts in systematizing and clarifying Aristotle's teachings.

"Meeting of Minds" can refer to different concepts depending on the context. Generally, it describes a situation where individuals come together to discuss ideas, collaborate, or share perspectives on various topics. This can happen in formal meetings, conferences, workshops, or informal gatherings where participants engage in thoughtful dialogue and exchange insights. In popular culture, "Meeting of Minds" may also refer to a specific television series created by Steve Allen in the 1970s.

George Gheverghese Joseph is a distinguished mathematician and scholar known for his contributions to the history of mathematics, particularly in the context of the mathematics of the Indian subcontinent. He holds academic positions and has been involved in promoting the understanding of the historical and cultural aspects of mathematics. Joseph is also recognized for his advocacy of diverse mathematical perspectives and for highlighting the contributions of non-Western mathematicians.