Outrageously Funny Word Dictionary :: Simplicial

👉 In mathematics, a simple object is an object that has one or more properties and can be expressed as a binary relation. These properties are typically taken to be equalities and inequalities, but they may also include other mathematical structures such as functions, relations, or even sets. For example, in the context of linear algebra, a vector space is a set equipped with two operations: addition (denoted by +) and scalar multiplication (denoted by
). A simple object in this context is an

simplicially

👉 In mathematics, a simplicial complex is an abstract mathematical structure that generalizes the concept of graphs to include additional features such as faces and vertices. These complexes are used in various areas of modern mathematics, including algebraic topology, combinatorics, and geometric group theory. A simplicial complex consists of two main components: the underlying set of points (the vertices) and the simplices that are closed subsets of this set. The vertices are called cells or elements of the complex, while

simplicial