Matroid embedding is a concept from matroid theory, a branch of combinatorial optimization and algebraic structures. It involves representing or mapping one matroid (let's call it \( M \)) into another matroid (let's call it \( N \)) in a way that preserves certain properties of the matroid structure.

In matroid theory, a *matroid minor* is a concept that extends the notion of graph minors to matroids. Matroids are combinatorial structures that generalize the concept of linear independence in vector spaces. Specifically, a matroid \( M \) can have a minor obtained in the following way: 1. **Deletion**: You can delete an element from the matroid. This corresponds to removing an edge from a graph.

Sarah Eno is an astrophysicist known for her research in particle physics, particularly in relation to the Large Hadron Collider (LHC) at CERN. She has contributed to experiments investigating fundamental questions about the nature of matter, forces, and the universe. In addition to her research, she is also involved in educational outreach and promoting diversity and inclusion within the scientific community.

A **polymatroid** is a mathematical structure that generalizes the concepts of matroids and convex polyhedra. It is particularly important in combinatorial optimization and related fields. A polymatroid is defined on a finite set and is characterized by a set of non-negative integer vectors that satisfy certain mathematical properties.

In matroid theory, a **regular matroid** is a specific type of matroid that can be represented over any field. More formally, a regular matroid can be realized as the circuit matroid of a vector configuration in a vector space over any field.

A **rigidity matroid** is a concept from matroid theory, specifically in the study of frameworks in geometry. It arises in the context of studying the configurations of points and the rigidity of structures that can be formed by those points. In informal terms, a rigidity matroid captures the idea of whether a framework (like a structure made of points connected by bars) can be deformed without changing the distances between points.

Rota's conjecture is a concept in the field of combinatorics, specifically relating to the study of matroids and their associated structures. Proposed by mathematician Gian-Carlo Rota in the 1970s, the conjecture addresses the cardinality of certain families of subsets of finite sets, specifically dealing with collections of independent sets in matroids.

In the context of combinatorics and algebra, a **supersolvable arrangement** refers to a special type of hyperplane arrangement with specific algebraic properties. Hyperplane arrangements can be thought of as a collection of hyperplanes in a vector space that partition the space into various regions. A hyperplane arrangement is said to be **supersolvable** if it satisfies certain conditions related to its characteristic polynomial and the way its lattice of regions behaves.

Born rigidity is a concept in the field of relativistic physics, particularly in the context of special relativity. It refers to the idea of an object's ability to maintain its shape and size while moving through spacetime without undergoing any deformation due to relativistic effects. The term comes from the work of Hermann Minkowski and is named after Max Born, who contributed significantly to the understanding of the topic.

The Born–Landé equation is an important formula in the field of solid-state physics and crystallography. It is used to calculate the lattice energy of ionic crystals, which is the energy required to separate one mole of a solid ionic compound into its gaseous ions. Lattice energy is a crucial factor in understanding the stability and strength of ionic compounds.

The Born–von Karman boundary condition is a mathematical technique used in solid state physics, particularly in the study of periodic systems such as crystals. This condition is employed to simplify the analysis of wave phenomena in materials by imposing periodic boundary conditions on a finite-sized sample, effectively allowing it to be treated as if it were infinite. ### Key Features of Born–von Karman Boundary Condition: 1. **Periodic Boundary Conditions**: The condition assumes that the material is infinitely periodic.

A **weighted matroid** is an extension of the concept of a matroid in which elements are assigned weights, and these weights can influence the properties and structures of the matroid. ### Basic Definitions: 1. **Matroid**: A matroid is a combinatorial structure that generalizes the notion of linear independence in vector spaces.

A ball detent is a mechanical component used to provide a locking or positioning function in various applications. It typically consists of a spherical ball that is housed in a cavity, often in conjunction with a spring. The ball can move into and out of a groove or a notch in a mating part, thereby locking it in place or allowing it to move freely.

Variable Air Volume (VAV) is a type of heating, ventilation, and air conditioning (HVAC) system that provides precise temperature control across different spaces by adjusting the flow of air. Unlike constant air volume (CAV) systems, which maintain a steady air flow regardless of the indoor temperature requirements, VAV systems can vary the volume of air delivered to different areas based on the specific heating or cooling load of each zone.

Impossiball is a type of game that involves bouncing a ball through a series of obstacles or challenges, often designed to be increasingly difficult. The gameplay may include various physics mechanics, puzzles, or time-based challenges. The term "Impossiball" could refer to different games or concepts depending on the context, such as video games, mobile apps, or even physical games. Specific features or rules can vary significantly between versions.

Born is a lunar impact crater located on the surface of the Moon. It is situated in the southern hemisphere of the Moon's near side, to the north of the larger crater Goclenius. The Born crater is relatively small, with a diameter of about 24 kilometers (15 miles). The features of Born include a circular rim that is generally well-defined, although it may show some signs of erosion due to subsequent impacts over time.

Ampère's circuital law is a fundamental principle in electromagnetism that relates the circulation of the magnetic field around a closed loop to the electric current passing through that loop.

Gauss's law for magnetism is one of the four Maxwell's equations, which are fundamental to electromagnetism. Specifically, Gauss's law for magnetism states that the total magnetic flux passing through a closed surface is zero.

Engine tuning instruments are tools and devices used to optimize the performance and efficiency of an internal combustion engine. These instruments help automotive technicians and enthusiasts adjust various parameters of an engine to improve horsepower, torque, fuel efficiency, emissions, and overall drivability. Here are some common types of engine tuning instruments: 1. **Dyno (Dynamometer)**: Measures the power output and torque of an engine. It helps in tuning by providing data on how changes affect performance.

The Cauchy–Born rule is a principle in theoretical solid mechanics and material science that relates the microscopic behavior of materials at the atomic level to their macroscopic continuum behavior. Specifically, it provides a way to connect discrete atomic or molecular interactions (described by molecular dynamics) to the continuum mechanics of solid materials.