The affine symmetric group, often denoted as \( \text{Aff}(\mathbb{Z}/n\mathbb{Z}) \) or \( \text{Aff}(n) \), is an extension of the symmetric group that includes not only permutations of a finite set but also affine transformations. Specifically, it refers to a group of transformations that act on a finite cyclic group, typically represented as \( \mathbb{Z}/n\mathbb{Z} \).

In geometry, axiality refers to a property or characteristic related to axes, particularly concerning symmetry and orientation. While the term isn't frequently used in mainstream geometry literature, it often relates to how certain objects or shapes are organized around an axis. In the context of geometry, axiality can describe: 1. **Symmetry**: An object is said to have axiality if it exhibits symmetry about an axis.

Circular symmetry, often referred to as radial symmetry, is a type of symmetry where an object or shape appears the same when rotated around a central point. In other words, if you were to rotate the object through any angle about that central point, it would look unchanged. In the context of two-dimensional shapes, examples of circular symmetry include circles, wheels, and starfish. In three dimensions, objects like spheres and some types of flower arrangements exhibit circular symmetry.

Facial symmetry refers to the degree to which one side of a person's face is a mirror image of the other side. In a perfectly symmetrical face, corresponding features (such as eyes, eyebrows, lips, and jawline) match in size, shape, and position on both sides. However, most human faces are not perfectly symmetrical; slight asymmetries are common and can even contribute to an individual's uniqueness and attractiveness.

A list of space groups refers to a classification of the symmetrical arrangements in three-dimensional space that describe how atoms are organized in crystals. These groups are essential in the field of crystallography and solid-state physics because they provide a systematic way to categorize and understand the symmetry properties of crystalline materials. Space groups combine the concepts of point groups and translation operations.

Geometric transformation refers to the process of altering the position, size, orientation, or shape of geometric figures or objects in a coordinate system. It is commonly used in various fields such as computer graphics, image processing, and robotics. There are several types of geometric transformations, which can typically be categorized into the following main types: 1. **Translation**: Moving a figure from one location to another without changing its shape or orientation.

Edgar Silinsh is an esteemed Latvian physicist known for his contributions to the fields of optics and photonics. He is particularly noted for his work in the areas of light propagation in complex media, nonlinear optics, and the science of optical materials. Silinsh has also authored several publications and books on the subject, contributing to both academic research and education in physics.

The Higgs sector refers to the part of the Standard Model of particle physics that describes the Higgs boson and the associated mechanisms that give mass to elementary particles. It plays a crucial role in explaining how particles acquire mass through the Higgs mechanism, which involves spontaneous symmetry breaking. Here's a breakdown of the key components of the Higgs sector: 1. **Higgs Field**: The Higgs sector is based on a scalar field known as the Higgs field, which permeates the universe.

As of my last knowledge update in October 2023, Nikolay Neprimerov might not be a widely recognized public figure, event, or concept. It's possible that he is an individual who may have gained prominence after my last update or is known within a specific context or region. If you can provide more details or context regarding who Nikolay Neprimerov is or the relevant field (such as art, science, sports, etc.

Isaak Pomeranchuk was a prominent Soviet physicist known for his significant contributions to theoretical physics, particularly in the fields of nuclear and particle physics. He was born on April 20, 1913, and passed away on December 8, 1973. Pomeranchuk is perhaps best known for his work on the Pomeranchuk theorem, which provides insights into the behavior of scattering amplitudes in quantum field theory.

Vladimir Potapov may refer to various individuals, but if you're inquiring about a notable figure, he might be associated with specific fields such as science, sports, or the arts. However, I do not have specific information on a well-known Vladimir Potapov.

Vsevolod Ivanovich Romanovsky (1891–1982) was a notable Russian mathematician and geometer, primarily recognized for his contributions to the field of mathematics, especially in topology and geometry. His work laid foundational aspects in these areas, influencing subsequent research and developments.

Yuri Gastev (1882–1939) was a notable Russian poet, translator, and revolutionary figure associated with the Russian avant-garde movement. He was known for his experimentation with poetic form and language and was part of the Russian Futurist movement, which sought to break away from traditional artistic conventions. Gastev's work often reflected the themes of modernity, technology, and the socio-political changes occurring in Russia during his lifetime.

Soviet nuclear physicists were scientists in the Soviet Union who specialized in the study of nuclear physics, which encompasses the behavior and properties of atomic nuclei. This field includes research on nuclear reactions, atomic structure, and the interactions of nuclear particles. During the Soviet era, particularly in the mid-20th century, the USSR made significant advancements in nuclear physics, leading to the development of nuclear energy and weapons.

Alexey Anselm is not a widely recognized name in popular culture, science, or other public domains as of my last knowledge update in October 2023. It's possible that he could be a private individual or a figure in a specific niche that hasn't gained significant public attention.

Feodor Ivanovich Vilesov appears to be a relatively obscure figure, and there may be limited information available about him in public databases or historical records. It's possible that he could be a notable person in a specific academic, artistic, or professional field; however, without additional context, it's difficult to provide precise details.

As of my last knowledge update in October 2021, there is no well-known figure or entity named Georgy Rykovanov. It is possible that he emerged in the public sphere after that date, or he may not be widely recognized outside of specific contexts. If you have more details about who he is or the field he is associated with, I would be glad to help with more focused information.

Gurgen Askaryan is primarily known as a prominent Soviet physicist and a significant figure in the field of particle physics and astrophysics. He made notable contributions to the study of cosmic rays and the development of various detection techniques. One of his key contributions is the Askaryan effect, which refers to the emission of coherent radiation from high-energy particles as they pass through a dense medium, such as ice or salt, at speeds exceeding the speed of light in that medium.

Igor Kurchatov was a prominent Soviet physicist known for his significant contributions to nuclear physics and the development of nuclear energy in the Soviet Union. Born on January 30, 1903, Kurchatov played a key role in the Soviet atomic bomb project during and after World War II. He is often referred to as the "father of the Soviet atomic bomb.

Lev Barkov is a professional ice hockey player from Russia. He was born on June 2, 2004, and is known for playing as a forward. He is the younger brother of Aleksander Barkov, who is a prominent NHL player and the captain of the Florida Panthers. Lev Barkov has been recognized for his talent in youth leagues and may have prospects for a future professional career in hockey, following in the footsteps of his brother.