A list of polyhedral stellations refers to various polyhedra that can be created by extending the faces, edges, or vertices of a given polyhedron. Stellations can produce more complex shapes from simple ones, often resulting in fascinating geometric structures.

Price indices are used to measure the relative change in the price level of a basket of goods and services over time. They are essential for economic analysis and inform various economic policies.

A **repunit** is a number consisting entirely of the digit 1. For example, the numbers 1, 11, 111, 1111, and so forth are repunits. The mathematical representation of a repunit \( R_n \) is given by: \[ R_n = \frac{10^n - 1}{9} \] where \( n \) is the number of digits (or "ones") in the repunit.

The list of uniform polyhedra refers to a classification of polyhedra that are highly symmetrical, including both regular polyhedra (Platonic solids) and less regular forms that still exhibit a uniform structure. These polyhedra are defined by having faces that are composed of regular polygons and all vertices having the same type of arrangement of faces.

The outline of statistics typically refers to the organization and structure of statistical concepts, methods, and applications. Below is a general outline of statistics that encompasses its key areas: ### 1. Introduction to Statistics - Definition of Statistics - Importance of Statistics - Types of Statistics: Descriptive and Inferential ### 2. Data Collection - Types of Data: Qualitative vs.

The Table of Lie Groups consists of a classification of Lie groups based on their dimension and properties. Lie groups are smooth manifolds that also have a group structure, and they play a significant role in various areas of mathematics and theoretical physics, particularly in the study of symmetries. There are several types of Lie groups, but they can generally be categorized into a few main classes. Here’s a simplified overview: 1. **Compact Lie Groups**: These groups are closed and bounded.

The AKNS system, short for the Ablowitz-Kaup-Newell-Segur system, refers to a well-known integrable system of nonlinear partial differential equations (PDEs) that arises in the context of fluid dynamics, optics, and other fields in applied mathematics and mathematical physics. The AKNS system is typically associated with the nonlinear Schrödinger equation and can be represented in a matrix form.

Tukey depth, also known as the location depth or data depth, is a statistical concept used to measure the centrality of a point in a multivariate dataset. It quantifies how "deep" a point is within a distribution, which helps in identifying outliers and understanding the structure of the data.

Euler–Boole summation is a formula used to express the sum of a sequence via its values at certain points, specifically in relation to finite differences. It is named after the mathematicians Leonhard Euler and George Boole. The general idea behind Euler–Boole summation is that it can be used to convert sums of discrete functions into integrals, allowing mathematicians to analyze sequences and their properties in a more continuous manner.

Physicists come from diverse nationalities and backgrounds, as the field of physics is a global discipline.

A hierarchical decision process is a structured approach to decision-making that breaks down complex problems into simpler, more manageable components, organized in a hierarchy. This method is often applied in various fields, including management, engineering, social sciences, and artificial intelligence. Here's a brief overview of its characteristics and functionalities: ### Key Features: 1. **Decomposition**: The primary complex decision is divided into smaller sub-decisions or components.

A **space cardioid** is a three-dimensional shape that resembles a heart and is formed by the revolution of a cardioid curve around an axis. The cardioid itself is a type of mathematical curve defined in a polar coordinate system.

A system of differential equations is a collection of two or more related differential equations that involve multiple dependent variables and their derivatives. These equations are typically interconnected in such a way that the behavior of one variable affects the others. Systems of differential equations can describe a wide variety of real-world phenomena, including physical systems, biological processes, or economic models.

The philosophy of statistics is a branch of philosophy that examines the foundations, concepts, methods, and implications of statistical reasoning and practices. It encompasses a range of topics, including but not limited to: 1. **Nature of Statistical Inference**: Philosophers of statistics investigate how we draw conclusions from data and the relationship between probability and statistical inference. This includes discussions on frequentist versus Bayesian approaches and the underlying principles that justify these methods.

Ethics in mathematics refers to the considerations and principles concerning the responsible use and application of mathematical knowledge and practices. It encompasses various dimensions, including: 1. **Integrity of Mathematical Work:** This involves maintaining honesty and transparency in mathematical research, ensuring that data is not falsified, manipulated, or misrepresented. It also includes proper crediting of sources and collaborations. 2. **Social Responsibility:** Mathematicians and practitioners are encouraged to consider the broader implications of their work.

"Model makers" can refer to professionals or individuals who create models for various purposes, including: 1. **Architectural Model Makers**: They create physical or digital scale models of buildings or structures. These models help architects and clients visualize the final product. 2. **Industrial Designers**: They may create prototypes or models of products to test design concepts and functionalities before mass production.

Physical models are tangible representations of systems, structures, or concepts that are used to visualize, analyze, or understand these entities in a more concrete manner. They can take various forms depending on the field of study, purpose, and the specifics of what is being modeled.

A ship model basin, also known as a towing tank or ship model test facility, is a specialized water tank used for conducting experiments and testing the hydrodynamic performance of ship models and other marine structures. These facilities are essential in naval architecture and marine engineering for several reasons: 1. **Hydrodynamic Testing**: Ship model basins allow researchers and designers to study the behavior of models in water, assessing factors such as resistance, propulsion efficiency, maneuverability, and stability.

Cultural depictions of physicists refer to the various ways in which physicists are portrayed in literature, film, television, art, and other forms of media. These depictions often reflect the societal attitudes towards science and scientists, as well as the personal characteristics and stereotypes associated with physicists. Here are some common themes and characteristics found in the cultural depictions of physicists: 1. **The Eccentric Genius**: Many depictions showcase physicists as brilliant but socially awkward individuals.