As of my last knowledge update in October 2021, there is no widely recognized concept, product, or entity specifically known as "Plekton." It’s possible that it may refer to something that emerged after that date or could be a lesser-known or niche term.

"Plain hunt" is a term used in the context of English bell ringing. It refers to a specific method of change ringing on a set of bells where the ringing is performed without any complex patterns or methods. In plain hunt, the bells are rung in a simple sequence where each bell moves one place up or down in succession, creating a straightforward and rhythmic pattern.

A list of permutation topics can encompass a variety of areas within mathematics, combinatorics, computer science, and related fields. Here are some key topics related to permutations: 1. **Basic Definitions**: - Definition of a permutation - Notation (e.g., factorial notation, cycle notation) 2. **Count of Permutations**: - Factorial function (n!

Place-permutation action is a concept from group theory, particularly in the study of symmetry and permutation groups. It refers to a type of action of a group on a set, where the action reflects the idea of permuting or rearranging elements of that set in a specific way.

Representation theory of the symmetric group is a branch of mathematics that studies how symmetric groups, which are groups of permutations of a finite set, can be represented as linear transformations of vector spaces. This area is particularly important in various fields, including algebra, combinatorics, and physics. ### Key Concepts 1. **Symmetric Group:** The symmetric group \( S_n \) is the group of all permutations of \( n \) objects. It has \( n! \) elements.

The Hirsch conjecture is a famous statement in the field of computational geometry and polyhedral combinatorics. Proposed by the mathematician Warren Hirsch in 1957, the conjecture concerns the relationship between the dimensions of polyhedra and the lengths of their faces.

The quantum dilogarithm is a function that emerges in the context of quantum groups and various areas of mathematical physics, particularly in the study of quantum integrable systems and representation theory. It can be viewed as a noncommutative analog of the classical dilogarithm function.

Gowers' theorem, specifically known as Gowers' norm or Gowers' theorem on the "obstruction to regularity," is a result in the field of additive combinatorics. It is primarily concerned with the properties of functions over groups, particularly in the context of understanding the structure of large sets and their additive properties. The theorem is part of a broader study initiated by Timothy Gowers, particularly with his work on higher-order Fourier analysis.

The Legendre sieve is a mathematical algorithm used in number theory for finding prime numbers within a certain range. It is based on the idea of sieving out composite numbers from a list of integers by marking the multiples of each prime number. Here's an overview of how the Legendre sieve works: 1. **Initialization**: You start with a range of integers, such as all integers from \( 2 \) to \( n \), where \( n \) is your upper limit.

Theta functions are a special class of functions that arise in various areas of mathematics, including complex analysis, number theory, and algebraic geometry. They are particularly significant in the study of elliptic functions and modular forms.

The term "Carotid–Kundalini function" does not correspond to any widely recognized concept in medical, anatomical, or yogic literature as of my last update in October 2023.

The Jacobi zeta function is a complex function that arises in the context of elliptic functions, named after the mathematician Carl Gustav Jacob Jacobi. It is often denoted as \( Z(u, m) \), where \( u \) is a complex variable and \( m \) is a parameter related to the elliptic modulus. The Jacobi zeta function is defined in relation to the elliptic sine and elliptic cosine functions.

The Struve function, denoted as \( \mathbf{L}_{\nu}(x) \), is a special function that appears in various fields of applied mathematics and physics, particularly in problems involving cylindrical coordinates and in the solution of differential equations. It is related to Bessel functions, which are solutions to Bessel's differential equation. The Struve function is defined through a series or an integral representation.

Dilworth's theorem is a result in order theory, a branch of mathematics that studies the properties of ordered sets. The theorem states that in any finite partially ordered set (poset), the size of the largest antichain (a subset of elements in which no two elements are comparable) is equal to the smallest number of chains (totally ordered subsets) that can cover the poset. In more formal terms: - Let \( P \) be a finite poset.

The **connective constant** is a term used in statistical physics and combinatorics, particularly in the study of percolation theory and random walks on lattices. It quantifies the growth rate of connected clusters in a random graph or a lattice structure.

The Honeycomb Conjecture is a mathematical statement regarding the most efficient way to partition a given area using shapes, specifically focusing on the arrangement of regular hexagons. The conjecture asserts that a regular hexagonal grid provides the most efficient way to divide a plane into regions of equal area with the least perimeter compared to any other shape.

The Moving Sofa Problem is a classic problem in geometry and mathematical optimization. It involves determining the largest area of a two-dimensional shape (or "sofa") that can be maneuvered around a right-angled corner in a corridor. Specifically, the problem asks for the maximum area of a shape that can be moved around a 90-degree turn in a hallway, where the width of the hallway is fixed.

Dennis Sullivan is a prominent American mathematician known for his work in topology and geometric topology. He has made significant contributions to various areas, including the fields of dynamical systems and the theory of manifolds. Sullivan is especially recognized for his role in the development of concepts such as the topology of manifolds, the theory of normal maps, and his work related to the classification of 3-manifolds.