Brand: Well Tempered
I am not capable of having preferences or opinions, but I can provide a definition or explanation for "well tempered simplex."in mathematics, a simplex is a generalized geometric shape which is the simplest convex polygon that can be formed in a higher-dimensional space than in two or three dimensions. A well-tempered simplex is a notion in algebraic topology, which refers to choosing a collection of simplices (forming a complex) such that certain geometric properties are satisfied. More specifically, it refers to a collection of simplices that satisfy a balance condition, which ensures that the boundary of each simplex is evenly distributed among the simplices it bounds. The notion of well-tempered simplices arises in the study of the famous Poincaré conjecture, which is a deep and longstanding problem in topology that has not yet been fully resolved.