Owen's T function is a special function used in statistics and probability, particularly in the context of multivariate analysis and the theory of correlated normal variables. It is denoted as \( T(a, b) \) and is defined for two non-negative parameters \( a \) and \( b \), where they typically represent the square roots of two positive numbers.
A particle filter, also known as sequential Monte Carlo (SMC) methods, is a technique used in statistical estimation and tracking processes. It is particularly effective for estimating the state of a dynamic system that is governed by a non-linear model and subject to non-Gaussian noise. Particle filters are widely used in fields such as robotics, computer vision, signal processing, and econometrics.
Lofting in 3D modeling is a technique used to create a three-dimensional object by defining a series of cross-sectional profiles and connecting them smoothly through a process called lofting. This technique is commonly used in various fields, including CAD (Computer-Aided Design), animation, and industrial design.
Magicplan is a mobile application designed for creating floor plans and 3D models of spaces using augmented reality (AR) technology. It allows users to measure and design interior spaces by simply taking photos or scanning the area with their mobile device's camera. The app is popular among architects, interior designers, real estate professionals, and homeowners for its ease of use and efficiency in generating accurate floor plans.
Mark Bew is a prominent figure in the construction and engineering sectors, known for his contributions to digital transformation and the advancement of technology in infrastructure projects. He is associated with initiatives aimed at improving the efficiency and effectiveness of construction through the use of digital tools and methodologies. In particular, he has been involved with the development and promotion of BIM (Building Information Modeling) standards, advocating for their adoption to enhance collaboration and data sharing among stakeholders in the construction industry.
Living Computers: Museum + Labs is a museum located in Seattle, Washington, dedicated to preserving and showcasing the history of computing and technology. Founded by Microsoft co-founder Paul Allen, the museum offers a unique experience that combines the historical significance of vintage computers with hands-on labs where visitors can interact with technology from different eras. The museum features a collection of restored and operational vintage computers, including mainframes, personal computers, and other significant technological artifacts.
Economy-wide material flow accounts (EW-MFA) are a systematic framework for measuring and analyzing the physical flows of materials within an economy over a specific period. These accounts track the extraction, import, export, and disposal of materials, providing insights into how resources are used and managed in an economy. The key components of EW-MFA include: 1. **Material Inputs**: This includes all raw materials that enter the economy from nature (e.g.
An environmental indicator is a quantitative measure used to assess the condition of the environment and the health of ecosystems. These indicators provide valuable information about various environmental factors, helping to track changes over time, identify trends, and inform decision-making related to environmental policy, management, and conservation efforts.
Environmental Protection Expenditure Accounts (EPEA) are a part of the system of national accounts that track and measure expenditures related to environmental protection. These accounts provide data on how much governments, businesses, and households spend to protect the environment and to manage natural resources. The main objectives of EPEA are to offer insights into: 1. **Investment in Environmental Protection**: They help quantify investments made towards environmental protection projects, such as pollution control, waste management, and conservation efforts.
The Deutsches Geodätisches Forschungsinstitut (DGFI), or German Geodetic Research Institute, is a research institution in Germany that focuses on geodesy and related fields. It is involved in advanced research and development in geospatial sciences, providing expertise in areas such as satellite geodesy, terrestrial geodesy, and geodynamics.
3D Systems Corporation is a company that specializes in 3D printing technologies and solutions. Founded in 1986 and based in Rock Hill, South Carolina, it was one of the pioneers in the 3D printing industry, notably introducing the first-ever 3D printer, the SLA-1, which used a technology called stereolithography.
Architectural geometry is a field of study that combines principles from architecture, mathematics, and geometry to create complex, innovative forms and structures in architectural design. It focuses on the use of digital tools and computational methods to explore geometric shapes, surfaces, and spatial configurations, enabling architects to manipulate and analyze designs in ways that traditional methods may not allow.
The BIM Task Group is a collaborative effort formed in the UK to promote the adoption and implementation of Building Information Modeling (BIM) within the construction industry. It was initially established as part of the UK government's strategy to enhance the use of BIM processes across public sector projects, especially in response to the UK government's initiative to implement Level 2 BIM for all centrally funded government projects by 2016.
Quad-edge is a data structure used primarily for representing and manipulating surfaces in computational geometry, particularly in the context of mesh representations and graph theory. It was introduced by Guibas and Stolfi in the context of dynamic planar subdivisions. ### Key Features of Quad-edge Structure: 1. **Surface Representation**: It is particularly suited for representing planar subdivisions and can efficiently handle operations like inserting and deleting edges.
The term "Pi algorithms" can refer to algorithms used to compute the digits of the mathematical constant pi (π), which represents the ratio of a circle's circumference to its diameter. Pi is a non-repeating, non-terminating decimal, and numerous algorithms can be employed to calculate its digits to a high degree of precision.
Line-intercept sampling is a method used in ecological studies to assess the abundance and distribution of organisms, particularly in vegetation or species within a defined area. This technique involves laying out a predetermined line (or transect) across a specific habitat and then recording the organisms that intersect with the line. ### How it Works: 1. **Transect Line Establishment**: A straight line (transect) is established across the study area.
Occupancy frequency distribution is a statistical concept often used in fields such as biology, ecology, and environmental science to analyze the presence or absence of species in various habitats or locations. It describes how often different species occupy certain areas or how frequently different occupancy levels occur across a set of locations. In a practical sense, the occupancy frequency distribution details the number of locations (or sites) where a certain number of species are observed (or not observed) over a given period.
A "quadrat" is a specific type of sampling area commonly used in ecological studies to study the distribution and abundance of plants, animals, or other organisms within a defined space. Typically, a quadrat is a square or rectangular plot marked out in the field, and researchers use it to systematically sample and collect data about the organisms within that area. Quadrats can vary in size depending on the type of study and the organisms being examined.
The term "scaling pattern of occupancy" can relate to various contexts, such as urban planning, architectural design, environmental studies, and even data science. However, without a specific context, it's a bit ambiguous. Below are a few interpretations based on different fields: 1. **Urban Planning and Architecture**: In these fields, the scaling pattern of occupancy might refer to how populations distribute themselves in urban environments as towns or cities grow.
"Hypotheses non fingo" is a Latin phrase that translates to "I do not feign hypotheses" or "I do not invent hypotheses." This phrase is often associated with the English scientist and philosopher Sir Isaac Newton. It reflects his empirical approach to science, emphasizing that he did not propose untestable or speculative theories without empirical evidence. Instead, Newton focused on observations and the laws of nature that could be demonstrated and verified.