set of antisymmetry
11List of character tables for chemically important 3D point groups — This lists the character tables for the more common molecular point groups used in the study of molecular symmetry. These tables are based on the group theoretical treatment of the symmetry operations present in common molecules, and are useful… …
12Dialectic — The School of Athens, by Raphael. Dialectic (also dialectics and the dialectical method) is a method of argument for resolving disagreement that has been central to Indic and European philosophy since antiquity. The word dialectic originated in… …
13Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… …
14Total order — In set theory, a total order, linear order, simple order, or (non strict) ordering is a binary relation (here denoted by infix ≤) on some set X. The relation is transitive, antisymmetric, and total. A set paired with a total order is called a… …
15Order theory — For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …
16Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …
17Construction of the real numbers — In mathematics, there are several ways of defining the real number system as an ordered field. The synthetic approach gives a list of axioms for the real numbers as a complete ordered field. Under the usual axioms of set theory, one can show that …
18Ordinal optimization — In mathematical optimization, ordinal optimization is the maximization of functions taking values in a partially ordered set ( poset ). Ordinal optimization has applications in the theory of queuing networks. Contents 1 Mathematical foundations 1 …
19Hasse diagram — In the mathematical discipline known as order theory, a Hasse diagram (pronEng|ˈhɑːsə HAHS uh ), named after Helmut Hasse (1898 ndash;1979)) is a simple picture of a finite partially ordered set, forming a drawing of the transitive reduction of… …
20Specialization (pre)order — In the branch of mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces that are considered in practice, namely for all those that satisfy… …
