Karim Adiprasito is a mathematician known for his contributions in the fields of combinatorics and discrete geometry. He has made significant advancements in various areas, particularly in the study of the geometric properties of objects and their implications in combinatorial settings. Adiprasito is also known for his work on the theory of matroids and other related mathematical structures. His research often involves applying techniques from algebraic topology and other branches of mathematics to solve problems in combinatorics.

Lu Jiaxi (also known as Lu Jiaxi, 1904–1991) was a prominent Chinese mathematician known for his contributions to various fields within mathematics, particularly in complex analysis and algebraic topology. He played a significant role in the development of mathematics in China during the 20th century and was instrumental in the education of many mathematicians. Lu held various academic positions and was involved in research as well as teaching for many years.

Pamela E. Harris is a prominent mathematician known for her contributions to algebraic combinatorics, especially in the areas of partition theory and symmetric functions. She is also recognized for her work in mathematical education and outreach, particularly in promoting diversity in STEM fields. Harris has been involved in various initiatives to encourage underrepresented groups to pursue careers in mathematics and science. Additionally, she has published numerous research papers and is an advocate for making mathematics more accessible and inclusive.

Rodica Simion may refer to a specific individual, but without additional context, it's difficult to pinpoint exactly who you mean, as it could relate to various fields such as politics, academia, or another area.

Stanisław Radziszowski is a Polish mathematician known for his contributions to various areas of mathematics, particularly in combinatorics and graph theory. He has worked on topics such as extremal graph theory, tournament theory, and combinatorial designs. His research has been influential in the development of mathematical concepts associated with these fields.

Stevo Todorčević is a prominent mathematician, known for his work in set theory and topology. He has made significant contributions to the field, including studies on real-valued functions, cardinal characteristics of the continuum, and the structure of the set of reals. His work often involves the intersection of various areas in mathematics, particularly in relation to large cardinals and forcing. Todorčević has published numerous papers and is recognized in the mathematical community for his research and influence.

Thomas H. Brylawski is a name associated with various fields, including academia and business. However, without more specific context regarding who or what you are referring to, it is difficult to provide a precise answer.

A **Lyndon word** is a non-empty string that is strictly smaller than all of its nontrivial suffixes in the lexicographical order. More formally, a string \( w \) is called a Lyndon word if it cannot be written as a nontrivial concatenation of two smaller strings, i.e.

A semiperfect magic cube is a three-dimensional generalization of a magic square. Just like a magic square, a semiperfect magic cube is an arrangement of numbers in a cube where the sums of the numbers in each row, each column, and the two main diagonals are all equal.

A train track map, also known as a railway map, is a graphical representation of a railway network. It typically shows the layout of tracks, stations, and other key features of the railway system. These maps can vary in detail and scale, ranging from highly detailed local maps that highlight specific lines and stations to broader regional or national maps that provide an overview of the entire railway network.

An edge-matching puzzle is a type of spatial reasoning puzzle in which the goal is to assemble a set of pieces with edges that match according to specific criteria. Each piece typically has different colors, patterns, or symbols along its edges, and the player must arrange the pieces so that adjacent edges share matching features.

A ranked poset (partially ordered set) is a specific type of poset that has an additional structure related to its elements' ranks. In a ranked poset, each element can be assigned a rank, which is a non-negative integer that gives a measure of the "level" or "height" of that element within the poset.

The Steiner Traveling Salesman Problem (STSP) is a variant of the classic Traveling Salesman Problem (TSP), which is a well-known problem in combinatorial optimization. In the traditional TSP, the goal is to find the shortest possible route that visits a set of given cities and returns to the original city. The challenge is to minimize the total distance traveled. The Steiner Traveling Salesman Problem extends this concept by allowing the introduction of additional points, known as Steiner points, into the route.

The Bass–Quillen conjecture is a conjecture in the field of algebraic K-theory, specifically concerning finitely generated infinite projective modules over a commutative ring. It was formulated by mathematicians Hyman Bass and Daniel Quillen in the 1970s.

Primary decomposition is a concept in the field of algebra, particularly in commutative algebra and algebraic geometry, that deals with the structure of ideals in a ring, specifically Noetherian rings. The primary decomposition theorem provides a way to break down an ideal into a union of 'primary' ideals.

"Coimage" can refer to different concepts depending on the context in which it's used, particularly in mathematics or computer science. Here are a couple of interpretations: 1. **In Mathematics (Category Theory):** The term "coimage" is often used in the context of category theory and algebraic topology. In this setting, the coimage of a morphism is related to the concept of the cokernel.

The Koszul–Tate resolution is a construction in algebraic geometry and homological algebra used to study certain algebraic structures, particularly those that involve differential forms or algebraic relations. It is named after Jean-Pierre Serre and William Tate, who contributed to the understanding of such resolutions. In simple terms, the Koszul-Tate resolution provides a way to resolve algebraic objects, such as modules or complexes associated with algebraic varieties, using tools from homological algebra.

The nilradical of a ring is an important concept in ring theory, a branch of abstract algebra. Specifically, the nilradical of a ring \( R \) is defined as the set of all nilpotent elements in \( R \). An element \( x \) of \( R \) is called nilpotent if there exists some positive integer \( n \) such that \( x^n = 0 \).

The term "local parameter" can have different meanings depending on the context in which it is used. Here are a few possible interpretations: 1. **In Mathematics**: A local parameter often refers to a variable that is used within a limited scope or specific region of a mathematical function or model. For example, in topology, local parameters can describe local properties of spaces or functions.

The domatic number of a graph is a concept in graph theory that describes the maximum number of disjoint dominating sets that can be formed within that graph. A dominating set is a subset of the vertices of a graph such that every vertex not in the set is adjacent to at least one vertex in the set.