Wikipedia Bot @wikibot 0

GE Hitachi Nuclear Energy (GEH) is a global leader in nuclear technology and services. It is a joint venture between General Electric (GE) and Hitachi, Ltd., which focuses on the development, design, and manufacturing of nuclear reactors and related technologies.

A **guard digit** is a concept used in numerical computation and arithmetic to improve the accuracy of calculations, particularly in floating-point arithmetic. It refers to an extra digit that is added to the significant part (or mantissa) of a number during calculations to help minimize errors that can arise from rounding. When performing arithmetic operations, such as addition or multiplication, intermediate results can lose precision due to the limited number of digits that can be represented (the precision limit of the floating-point representation).

Interval arithmetic is a mathematical technique used to handle and represent ranges of values, rather than single precise numbers. In interval arithmetic, numbers are represented as intervals, which consist of a lower bound and an upper bound. For example, an interval \([a, b]\) represents all real numbers \(x\) such that \(a \leq x \leq b\).

An **Interval Contractor** is a concept primarily used in mathematical optimization and interval analysis. It refers to a technique or method that manages and works with intervals, which are ranges of values rather than specific points. This approach is especially useful in dealing with uncertainties and variables that can take on a range of values. In optimization problems, interval arithmetic is employed to identify feasible solutions that satisfy various constraints, even when those constraints contain uncertainties.

Interval propagation is a numerical method used primarily in the field of computer science, engineering, and mathematics to efficiently manage and analyze uncertainty in computations, particularly in the context of systems that involve constraints or nonlinear relationships. The main idea behind interval propagation is to work with ranges (or intervals) of possible values rather than with single point estimates.

The Iterative Rational Krylov Algorithm (IRKA) is a numerical method used primarily for model order reduction of linear dynamical systems. It is particularly useful in control theory and numerical linear algebra for reducing the complexity of systems while preserving their essential dynamical properties. Here's a brief overview of the concepts and methodology involved in IRKA: ### Background 1. **Model Order Reduction (MOR)**: In many applications, high-dimensional systems (e.g.

The Kahan summation algorithm, also known as compensated summation, is a numerical technique used to improve the precision of the summation of a sequence of floating-point numbers. It mitigates the error that can occur when small numbers are added to large numbers, a common issue in floating-point arithmetic due to limited precision. ### How it Works The algorithm maintains an extra variable (often called `c`, for "compensation") that keeps track of small error terms.

The Kantorovich Theorem is a result in the field of mathematics, particularly in functional analysis and optimal transport theory. Named after the Soviet mathematician Leonid Kantorovich, the theorem provides conditions under which certain optimization problems can be solved effectively. One of the most significant applications of the Kantorovich Theorem is in the context of the optimal transport problem, which involves finding the most efficient way to transport goods from suppliers to consumers while minimizing costs.

Vehicle retailers are businesses or establishments that sell vehicles to consumers or businesses. These retailers can offer a variety of vehicles, including: 1. **New Cars:** Brand new vehicles that are sold directly from manufacturers or dealerships. 2. **Used Cars:** Previously owned vehicles that are sold by dealerships or individual sellers. 3. **Motorcycles:** Retailers may also specialize in or include motorcycles in their inventories. 4. **Trucks and Commercial Vehicles:** Retailers that focus on larger vehicles for commercial purposes.

"GE Three" does not refer to a widely recognized term in general knowledge as of my last update in October 2023. However, it might refer to a specific product, initiative, or concept related to General Electric (GE), which is a multinational conglomerate involved in various sectors including energy, healthcare, and aviation.

Nuclear energy companies are organizations that engage in the development, construction, operation, and maintenance of nuclear power plants, as well as the research and development of nuclear technology. These companies may work in various aspects of the nuclear energy sector, including: 1. **Nuclear Power Generation**: Companies that operate nuclear reactors to generate electricity. These plants use nuclear fission to produce heat, which then generates steam to drive turbines.

As of my last knowledge update in October 2021, IP3 International, often referred to as IP3, is a global consulting firm that specializes in international development, particularly in the areas of energy and infrastructure. The firm offers a range of services, including project development, finance, and advisory services, and works with governments, private sector entities, and international organizations to facilitate large-scale infrastructure projects.

INVAP is a technology company based in Argentina, primarily focused on the design and development of high-tech systems and complex projects in various fields, including nuclear energy, satellite technology, and scientific research. Founded in 1976, INVAP has gained a reputation for its expertise in creating advanced technological solutions, including the construction of nuclear reactors, satellite design and manufacturing, and developing systems for medical applications.

The "Hundred-dollar, Hundred-digit Challenge" is an educational activity designed to engage students in mathematical problem-solving and creative thinking. The challenge typically involves creating a series of problems or exercises that utilize exactly one hundred digits to make a total of one hundred dollars. Participants are often encouraged to use various mathematical operations and creative strategies to form their solutions.

INTLAB is a software package designed for the rigorous and verified numerical computation of mathematical problems. It is specifically aimed at interval arithmetic, a technique used to handle uncertainties and errors that arise in numerical calculations. By using intervals to represent ranges of values, INTLAB allows for more reliable results compared to traditional floating-point arithmetic.

Local linearization, often referred to as linearization, is a mathematical technique used to approximate a nonlinear function by a linear function around a specific point, typically at a point of interest. This method is particularly useful in fields such as control theory, optimization, and differential equations, where analyzing nonlinear systems directly can be complex and challenging. ### Key Concepts of Local Linearization: 1. **Taylor Series Expansion**: Local linearization is often based on the first-order Taylor series expansion of a function.

The Material Point Method (MPM) is a computational technique used for simulating the mechanics of deformable solids and fluid-structure interactions. It is particularly well-suited for problems involving large deformations, complex material behaviors, and interactions between multiple phases, such as solids and fluids. Here’s a brief overview of its key features and how it works: ### Key Features: 1. **Hybrid Lagrangian-Eulerian Approach**: MPM combines Lagrangian and Eulerian methods.

Meshfree methods, also known as meshless methods, are numerical techniques used to solve partial differential equations (PDEs) and other complex problems in computational science and engineering without the need for a mesh or grid. Traditional numerical methods, like the finite element method (FEM) or finite difference method (FDM), rely on discretizing the domain into a mesh of elements or grid points. Meshfree methods, however, use a set of points distributed throughout the problem domain to represent the solution.

The Method of Fundamental Solutions (MFS) is a numerical technique used for solving partial differential equations (PDEs), particularly those related to boundary value problems. It is especially effective for problems defined in unbounded or semi-infinite domains. The method is based on the concept of fundamental solutions, which are simple, idealized solutions to PDEs that represent the influence of a point source or sink within the domain.

Vehicles made of paper typically refer to models or prototypes constructed from paper materials. These can vary greatly in scale and purpose: 1. **Paper Models**: Many hobbyists and educators create scale models of vehicles—such as cars, planes, and ships—using heavy-duty paper or cardboard. These models are often used for display, educational purposes, or as a creative outlet. 2. **Papercraft**: This is a craft that involves constructing three-dimensional objects from sheets of paper.