The Three-twist knot, also known as the trefoil knot, is one of the simplest and most well-known types of nontrivial knots in topology. It can be visualized as a loop with three twists in it, and it is often represented as a closed curve that can be drawn in three-dimensional space without self-intersecting, yet cannot be untangled into a simple loop without cutting it.

A twist knot, also known as a twisted knot, is a type of knot characterized by the intertwining of two or more strands. This type of knot can be used in various applications, including climbing, boating, crafting, and more. The twisting action creates friction, which helps secure the knot. Twist knots can vary in complexity and construction, with some being relatively simple and others more intricate.

Self-duality is a concept that appears in various fields, including mathematics, physics, and computer science. Its precise definition and implications can vary depending on the context. 1. **Mathematics**: In the context of geometry and topology, a self-dual object is one that is isomorphic to its dual.

Klaas de Boer is a Dutch astronomer known for his contributions to the field of astronomy, particularly in relation to the study of the solar system, planetary science, and exoplanets. While specific details about his research or achievements may vary and not be widely publicized, he is recognized within the scientific community for his work.

"Dutch bioinformaticians" refers to bioinformaticians who are from the Netherlands or are associated with Dutch institutions. Bioinformaticians are professionals who use computational tools and methods to analyze biological data, particularly in the fields of genomics, proteomics, and other areas of molecular biology. In the Netherlands, there is a strong emphasis on research and development in bioinformatics, supported by various universities, research institutes, and biotech companies.

The Hodge star operator is a mathematical operator used extensively in differential geometry and algebraic topology, particularly in the context of differential forms on Riemannian manifolds. It acts on differential forms and is used to relate forms of different degrees.

Seiberg duality is a powerful theoretical concept in quantum field theory and string theory, named after Nathan Seiberg, who introduced it in the context of supersymmetric gauge theories. It reveals interesting dualities between certain types of supersymmetric gauge theories, effectively showing that two seemingly different theories can describe the same underlying physics.

"BRANE" can refer to different things depending on the context: 1. **In Physics and String Theory**: A "brane" (short for "membrane") is a fundamental object in string theory and related theories such as M-theory. Branes can exist in various dimensions, and they can have various properties. For example, a 1-brane is a string, a 2-brane is a surface, and so on.

Betty Paërl is a digital content creator known for her presence on platforms like YouTube and Instagram, where she shares lifestyle, beauty, and fashion-related content. She often provides makeup tutorials, skincare tips, and personal vlogs. Besides her online presence, she may also be involved in collaborations with brands or other influencers in the beauty and fashion industry.

The Brauer–Fowler theorem is a result in the field of group theory, more specifically in the study of linear representations of finite groups. It deals with the structure of certain finite groups and their representations over fields with certain characteristics.

Kummer varieties are algebraic varieties associated with abelian varieties, specifically focusing on the quotient of a complex torus that arises from abelian varieties. More precisely, a Kummer variety is constructed from an abelian variety by identifying points that are negatives of each other.

The Kurosh problem, named after the Iranian mathematician Alexander Kurosh, is a well-known problem in group theory, particularly in the context of the structure of groups and their subgroups. The Kurosh problem concerns the characterization of a certain type of subgroup, namely, free products of groups.

Congruence-permutable algebras are a class of algebras studied in universal algebra and related fields. An algebraic structure is generally described by a set along with a collection of operations and relations defined on that set. The concept of congruences in algebra refers to certain equivalence relations that respect the operations of the algebra.

Idempotent analysis is a branch of mathematics and theoretical computer science that extends the concepts of traditional analysis using the framework of idempotent semirings. In idempotent mathematical structures, the operation of addition is replaced by a max operation (or another specific operation depending on the context), and the operation of multiplication remains similar to standard multiplication.

Naimark equivalence is a concept in functional analysis and operator theory that relates to the representation of certain kinds of operator algebras, specifically commutative C*-algebras. The concept is named after the mathematician M.A. Naimark.

A supersolvable group is a type of group in the field of group theory, a branch of mathematics. A group \( G \) is said to be supersolvable if it has a normal series where each factor group is cyclic of prime order.

In group theory, a **weakly normal subgroup** is a concept that generalizes the notion of a normal subgroup. A subgroup \( H \) of a group \( G \) is considered weakly normal if it is invariant under conjugation by elements of a "larger" set than just the group itself.

Arseny Mironov could refer to a person, but as of my last update in October 2023, there is no widely recognized individual by that name in global news, sports, entertainment, or any other notable field. It’s possible that he could be a private individual or someone increasing in prominence after my last update.

Borys Paton was a prominent Ukrainian scientist, engineer, and academic known for his significant contributions to the fields of welding and materials science. Born on November 27, 1918, and passing away on January 19, 2022, Paton served as the president of the National Academy of Sciences of Ukraine and led the Paton Electric Welding Institute in Kyiv, which is named in his honor.

Aleksandr Kaleri is a Russian former cosmonaut. He was born on January 24, 1956, in the city of Kresty, Russia. Kaleri flew on four spaceflights, participating in various missions to the Russian space station Mir and the International Space Station (ISS). Throughout his career, he has accumulated significant experience in space exploration, conducting experiments and contributing to scientific research in microgravity environments.