Search results
Results from the WOW.Com Content Network
Simplexity is a neologism which proposes a possible complementary relationship between complexity and simplicity.. One of the first formally published instances of the word was in the journal 'Childhood Education' (1924), in the article it appears to be used to discuss education and psychology related issues.
A simplicial 3-complex. In mathematics, a simplicial complex is a structured set composed of points, line segments, triangles, and their n-dimensional counterparts, called simplices, such that all the faces and intersections of the elements are also included in the set (see illustration).
Comic of a spherical cow as illustrated by a 1996 meeting of the American Astronomical Association, in reference to astronomy modeling. The spherical cow is a humorous metaphor for highly simplified scientific models of complex phenomena.
[1] [2] The term is generally used to characterize something with many parts where those parts interact with each other in multiple ways, culminating in a higher order of emergence greater than the sum of its parts. The study of these complex linkages at various scales is the main goal of complex systems theory.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
Something easy to understand or explain seems simple, in contrast to something complicated. Alternatively, as Herbert A. Simon suggests, something is simple or complex depending on the way we choose to describe it. [1] In some uses, the label "simplicity" can imply beauty, purity, or clarity. In other cases, the term may suggest a lack of ...
Similarly, if is a complex semisimple Lie algebra, every finite-dimensional representation of is a sum of irreducibles. [10] Weyl's original proof of this used the unitarian trick : Every such g {\displaystyle {\mathfrak {g}}} is the complexification of the Lie algebra of a simply connected compact Lie group K {\displaystyle K} .
AC – Axiom of Choice, [1] or set of absolutely continuous functions. a.c. – absolutely continuous. acrd – inverse chord function. ad – adjoint representation (or adjoint action) of a Lie group. adj – adjugate of a matrix. a.e. – almost everywhere. AFSOC - Assume for the sake of contradiction; Ai – Airy function. AL – Action limit.