Combinatorial computational geometry is a field that deals with the study of geometric objects and their relationships using combinatorial methods and techniques. Here is a list of key topics and areas of study within this domain: 1. **Convex Hulls**: Algorithms for finding the smallest convex polygon that contains a given set of points. 2. **Voronoi Diagrams**: Partitioning a plane into regions based on the distance to a specified set of points.
In mathematics, "characterization" refers to the process of defining an object or a class of objects by specifying a set of properties or conditions that uniquely identify them. This concept is prevalent in various fields of mathematics, including algebra, topology, analysis, and geometry. Characterization can take several forms, including: 1. **Set of Properties**: An object can be characterized by a list of properties that all instances of that object share.
In mathematics, the term "null" can refer to several concepts depending on the context: 1. **Null Set/Empty Set**: The null set, often denoted as \(\emptyset\) or \(\{\}\), is a set that contains no elements. It serves as the foundation of set theory and is a subset of every set.
"Transport of structure" is not a widely recognized term in scientific literature, but it may refer to processes involving the movement or distribution of structural elements within a biological, physical, or engineering context. In biology, it could relate to how molecules, cells, or other structures are transported within organisms (e.g., the transport of proteins or organelles within a cell). In engineering or materials science, it might refer to the movement of structural materials during construction or the dynamics of structures under various loads.
The Uniqueness Theorem is an important concept in various fields of mathematics, particularly in calculus, complex analysis, and differential equations. The specific details can vary depending on the context in which it is applied.
Univariate analysis refers to the examination of a single variable in a dataset. The term "univariate" comes from "uni," meaning one, and "variate," which refers to a variable. This type of analysis is fundamental in statistics and is often the first step in exploring data. Key aspects of univariate analysis include: 1. **Descriptive Statistics**: This involves summarizing and describing the main features of a dataset.
"Without loss of generality" (often abbreviated as WLOG) is a phrase commonly used in mathematical proofs and reasoning. It indicates that a certain assumption can be made without affecting the generality of the argument or conclusion being presented. In other words, focusing on a specific case or example is permissible because the logic or outcome will hold true for other similar cases.
LGBT mathematicians refer to individuals within the field of mathematics who identify as part of the LGBTQ+ community—encompassing lesbian, gay, bisexual, transgender, queer, and other sexual and gender minorities. Like in other fields, LGBT mathematicians have made significant contributions to mathematics, research, and education, although their experiences may have been shaped by the challenges and discrimination often faced by marginalized groups.
"Mathematicians by city" typically refers to discussions or listings of notable mathematicians who were born in, lived in, or significantly worked in specific cities. This concept could cover a range of topics, including: 1. **Famous mathematicians from specific cities**: For example, you might find lists of mathematicians from Paris, Berlin, Cambridge, or New York.
The Presidents of the European Mathematical Society (EMS) are the elected leaders who guide the organization, which aims to promote and support mathematics in Europe. The EMS organizes conferences, supports research and education in mathematics, and fosters collaboration among mathematicians across European countries. The presidency is typically held for a term of several years, during which the president oversees the activities of the society, represents it in international mathematical organizations, and works to enhance the visibility and development of mathematics in Europe.
"Senior Wranglers" typically refers to a specific group of individuals, often associated with the University of Cambridge, who hold a prestigious academic title. At Cambridge, "Wrangler" is a term used for students who excel in mathematics, particularly those who achieve high scores in their final examinations for the Mathematics Tripos. The term "Senior Wrangler" designates the top-ranking student in this examination. The title is historically significant and is regarded as a mark of distinction within the university's mathematics community.
A C-Thru Ruler typically refers to a type of transparent ruler, often made of plastic, that allows for clear visibility of the surface underneath it while making measurements. The name "C-Thru" suggests its see-through design, which is especially useful for precise alignment over drawings, graphs, or text. These rulers are commonly used in classrooms, design settings, engineering, and art because they help users take accurate measurements while maintaining a clear view of what they are working on.
A counting board is a simple educational tool used to teach basic arithmetic and counting skills, primarily to young children. It typically consists of a flat board with a series of rows or sections that can be used for counting objects. Counting boards can come in various forms, such as: 1. **Physical Counting Boards**: These are often made of wood or plastic and may include pegs, holes, or grooves where children can place objects such as beads, tokens, or counters.
Intergraph, now known as Hexagon Geospatial, is a company that specializes in geospatial software and technology. It provides solutions for geographic information systems (GIS), computer-aided design (CAD), and various applications in industries such as public safety, natural resources, utilities, and government. Intergraph's software helps organizations manage and visualize spatial data, enabling them to make informed decisions based on geographic information. Over time, Hexagon, a global provider of information technologies, acquired Intergraph.
The term "Integrator" can refer to several different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematics**: In mathematics, an "integrator" often refers to a function or operator that performs integration, which is the process of finding the integral of a function.
Mathematics conferences are gatherings where mathematicians, researchers, and enthusiasts come together to share their work, discuss theories, present findings, and collaborate on various topics in the field of mathematics. These events can vary in size, scope, and focus, and they typically include a mix of activities such as: 1. **Presentations**: Speakers present their research findings, often in the form of lectures or talks. This can include keynote speakers, invited talks, and contributed presentations from participants.
"Arcadia" is a play by English playwright Tom Stoppard, first performed in 1993. The play is set in two time periods: the early 19th century and the present day, primarily in the same room at a country house in Derbyshire, England. It interweaves themes of romance, mathematics, literature, and the contrast between classical and romantic philosophies.