A planimeter is a measuring instrument used to determine the area of a two-dimensional shape, particularly in fields such as engineering, architecture, and cartography. It works by tracing the perimeter of a figure, allowing the instrument to calculate its area based on the path traced. There are two main types of planimeters: 1. **Mechanical planimeters**: These are typically made of metal and consist of a movable arm attached to a fixed base.

"Numbers," also styled as "Numb3rs," is an American crime drama television series that aired on CBS from January 2005 to March 2010. The show was created by Nicolas Falacci and Cheryl Heuton. The premise revolves around FBI agent Don Eppes, played by Rob Morrow, who recruits his brother Charlie Eppes, portrayed by David Krumholtz, a mathematical genius, to help solve crimes.

Complexity classes are categories used in computational complexity theory to classify problems based on their inherent difficulty and the resources required to solve them, such as time and space. Here’s a list of some fundamental complexity classes: 1. **P**: - Problems that can be solved in polynomial time by a deterministic Turing machine. 2. **NP**: - Nondeterministic Polynomial time.

In differential geometry, a **coordinate chart** is a mapping that defines a particular way of describing points in a manifold in terms of coordinates. A coordinate chart is essentially a homeomorphism from an open subset of the manifold to an open subset of Euclidean space. Together, a collection of coordinate charts that covers a manifold forms an **atlas**.

A "List of mathematical artists" typically refers to a compilation of individuals who create art influenced by mathematical concepts, structures, or theorems. These artists often explore the intersection of mathematics and visual art, using geometry, symmetry, fractals, algorithms, and other mathematical principles in their work. Here are some notable mathematical artists: 1. **M.C. Escher** - Known for his impossible constructions and explorations of infinity, symmetry, and tessellation.

Triangle inequalities refer to a set of mathematical inequalities that describe the relationships between the lengths of the sides of a triangle. The most fundamental triangle inequalities assert that for any triangle with side lengths \(a\), \(b\), and \(c\): 1. \(a + b > c\) (the sum of the lengths of any two sides must be greater than the length of the third side) 2. \(a + c > b\) 3.

Wavelet transforms are mathematical tools used for analyzing and representing signals and data. They provide a way to decompose a signal into different frequency components at multiple scales, which makes them very useful in various applications such as signal processing, image compression, and more. Here's a list of some of the main wavelet-related transforms: 1. **Continuous Wavelet Transform (CWT)**: A transform that analyzes the signal at all scales and translations using wavelets.

Mathematical knowledge management refers to the systematic process of capturing, storing, organizing, retrieving, and sharing mathematical knowledge and resources. This involves managing both the knowledge produced by mathematical theories and practices as well as the data and information generated through mathematical research and applications. Key aspects of mathematical knowledge management include: 1. **Knowledge Capture**: Collecting and codifying mathematical theories, problem-solving techniques, proofs, and case studies.

"Proof" is a play by David Auburn that premiered in 2000 and won the Pulitzer Prize for Drama and the Tony Award for Best Play. The story revolves around Catherine, a young woman who has spent years caring for her brilliant but unstable mathematician father, Robert, who has recently passed away. As she grapples with her grief, her intellectual legacy, and her own mental health, she finds herself at a crossroads.

"Touch" is an American television series that aired on Fox from March 2012 to May 2013. Created by Tim Kring, the show stars Kiefer Sutherland as Martin Bohm, a widowed father who struggles to connect with his mute, autistic son, Jake, played by David Mazouz. The central premise revolves around Jake's extraordinary ability to see patterns and connections in numbers, which he uses to interpret global events and interconnected lives.

In the context of probability and statistics, "stubs" can refer to a few different concepts depending on the field and context in which the term is used. However, "probability stubs" is not a widely recognized term in probability theory or statistics; it might be a misunderstanding or a specialized term used in a specific context, such as a proprietary framework or software.

Event structure refers to the organizational framework that encapsulates the various components and attributes of an event. It helps in understanding, designing, and analyzing events in various contexts, including programming, linguistics, event management, and computer science. Here are a few contexts in which "event structure" is relevant: 1. **Linguistics**: In the study of semantics and syntax, event structure refers to the way events are represented and categorized in language.

In mathematics, especially in the field of algebra and representation theory, symmetric power refers to a specific type of construction that takes a given vector space or a module and creates a new one by considering the symmetric tensors of the original space.

Mutual exclusivity is a concept used in various fields, including statistics, probability, logic, and decision-making. In general, it refers to a situation where two or more events, outcomes, or propositions cannot occur or be true simultaneously. For example: 1. **Probability**: In probability theory, two events are mutually exclusive if the occurrence of one event means that the other cannot occur.

Thomas Baxter is a mathematician known for his work in the field of mathematics, particularly in the area of probability and statistics. He is recognized for contributions to mathematical analysis, combinatorics, and related fields. However, specific information about his most notable achievements, publications, and influence may require access to academic databases or resources for up-to-date details, as my knowledge is current only until October 2021 and may not include newer developments or recognition.

Negative definiteness is a concept from linear algebra and functional analysis, particularly in the context of matrices and quadratic forms. A matrix \( A \) is said to be negative definite if it satisfies the following conditions: 1. **Square Matrix**: The matrix \( A \) is a square matrix (i.e., it has the same number of rows and columns). 2. **Negative Eigenvalues**: All eigenvalues of the matrix \( A \) are negative.

Statistical regions are defined areas that are used for the collection, analysis, and presentation of statistical data. These regions are created to facilitate the comparison and aggregation of various demographic, economic, and social statistics across different geographical areas. The characteristics of statistical regions can vary widely based on the purpose of the analysis and the types of data being collected.