Discrete orthogonal polynomials are a class of polynomials that are orthogonal with respect to a discrete measure or inner product. This means that they are specifically defined for sequences of points in a discrete set (often integers or specific values in the real line) rather than continuous intervals.

Dual Hahn polynomials are a class of orthogonal polynomials that arise in the context of approximation theory, special functions, and mathematical physics. They are part of a broader family of hypergeometric orthogonal polynomials and can be viewed as the dual version of Hahn polynomials.

Action origami is a branch of origami that emphasizes movement and mechanics in the folding process. Unlike traditional origami, which often focuses on static forms, action origami designs are created to perform specific motions or functions when manipulated. These designs can include flapping birds, popping boxes, and various toys or mechanical structures that exhibit movement, often requiring careful engineering to ensure functionality.

Decorative folding is a creative technique that involves folding materials—such as paper, fabric, or other flexible mediums—into aesthetically pleasing shapes and forms. This technique is often used in various crafts, including origami, napkin folding, and fabric design. In the context of origami, decorative folding refers to the art of transforming a flat sheet of paper into intricate designs and sculptures through various folding techniques.

Kirigami is a traditional Japanese art form that involves the cutting and folding of paper to create intricate designs and three-dimensional shapes. The term "kirigami" derives from the Japanese words "kiri," meaning "to cut," and "gami," meaning "paper." While it is similar to origami, which focuses on folding paper without cuts, kirigami includes both cutting and folding techniques, allowing for more complex and decorative creations.

The mathematics of paper folding, often referred to as "origami mathematics," encompasses various mathematical concepts, principles, and applications related to the art and science of folding paper. The study of origami has deep mathematical implications and can be applied in various fields such as geometry, algebra, and even computer science. Here are some key aspects of the mathematics of paper folding: ### 1.

As of my last knowledge update in October 2021, "Moneygami" isn't widely recognized as a specific term or concept in finance or popular culture. However, it sounds like a portmanteau of "money" and "origami," which could imply a few different things, such as: 1. **Creative Folding of Money**: It may refer to the art of folding currency into decorative shapes and figures, similar to origami, which is the Japanese art of paper folding.

A paper fortune teller, also known as a cootie catcher, is a simple origami toy made from a square piece of paper that is manipulated by folding it in a particular way. It consists of four flaps that can be opened and closed, and it is typically used for entertainment and light-hearted fortune-telling. To use a paper fortune teller, a person usually follows these steps: 1. **Create the Paper Fortune Teller**: - Start with a square piece of paper.

Shide is a traditional Japanese ritual paper streamer that plays a significant role in Shinto practices. It is typically made from white paper or rapeseed and is characterized by its zigzag or folded shape. Shide is often used as a symbol of purity and to ward off evil spirits. In Shinto shrines, shide can be found hanging from sacred objects or attached to torii gates, marking areas considered sacred.

Al-Salam–Carlitz polynomials are a family of orthogonal polynomials that generalize the classical Carlitz polynomials. They appear in the context of q-series and combinatorial identities and are related to various areas in mathematics, including number theory and formal power series. These polynomials are typically defined in terms of parameters \( a \) and \( b \) and a variable \( x \).

Big \( q \)-Laguerre polynomials are a specific family of orthogonal polynomials that arise in the context of \( q \)-analysis, a generalization of classical analysis that incorporates the parameter \( q \). These polynomials are particularly useful in various areas of mathematics and mathematical physics, including quantum calculus, combinatorics, and orthogonal polynomial theory.

Continuous q-Jacobi polynomials are a family of orthogonal polynomials that generalize the classical Jacobi polynomials in the context of q-analogs, which are important in various areas of mathematics, including combinatorics, number theory, and quantum calculus.

Classical orthogonal polynomials are a set of orthogonal polynomials that arise in various areas of mathematics, especially in the context of approximation theory, numerical analysis, and mathematical physics. These polynomials are defined on specific intervals and with respect to certain weight functions, leading to their orthogonality properties.

Heckman-Opdam polynomials are a family of orthogonal polynomials that arise in the context of root systems and are closely related to theories in mathematical physics, representation theory, and algebraic combinatorics. They are named after two mathematicians, W. Heckman and E. Opdam, who introduced and studied these polynomials in the context of harmonic analysis on symmetric spaces.

Kravchuk polynomials are a class of orthogonal polynomials that arise in the context of combinatorics and probability theory, particularly in relation to the binomial distribution. They are named after the Ukrainian mathematician Kostiantyn Kravchuk.

Macdonald polynomials are a family of symmetric polynomials that arise in the study of algebraic combinatorics, representation theory, and the theory of special functions. They are named after I.G. Macdonald, who introduced them in the context of a generalization of Hall-Littlewood polynomials.

"Outer space stubs" could refer to several contexts depending on the medium in which the term is used. However, it appears to be a less common or specific phrase. Here are a couple of interpretations: 1. **Astronomy and Science Fiction**: In a general sense, "outer space" refers to the expanse beyond Earth's atmosphere, and "stubs" could refer to incomplete or draft entries related to space phenomena, celestial bodies, or science fiction topics.

OS/2 is an operating system developed by IBM and Microsoft that was introduced in the late 1980s. It features a command-line interface similar to DOS and includes a set of commands that can be used to perform various tasks, manage files, and control system functions. Here are some common OS/2 commands: 1. **DIR** - Displays a list of files and directories in the specified directory. - Example: `DIR C:\` 2.

In group theory, which is a branch of abstract algebra, a **P-group** is a type of group that plays an important role in the study of finite groups. Specifically, a P-group is defined as a group in which the order (the number of elements) of every element is a power of a prime number \( p \).

Windows Libraries for OS/2 (WL/2) was a software package developed by IBM that allowed certain Windows applications to run on the OS/2 operating system. Released in the early 1990s, it provided a compatibility layer that facilitated the execution of 16-bit Windows applications, effectively enabling users to take advantage of the growing library of Windows software while using OS/2 as their primary operating system.