noting a relation in which one element’s dependence on a second implies that the second element is not dependent on the first, as the relation “greater than.”.
(logic) (of a relation) never holding between a pair of arguments x and y when it holds between y and x except when x = y, as “…is no younger than…” See nonsymmetric
(maths) symmetric except for a change of sign Compare asymmetric, symmetric (sense 1)
A relation R is antisymmetric if,
for all x and y, x R y and y R x => x == y.
I.e. no two different elements are mutually related.
Partial orders and total orders are antisymmetric. If R is also symmetric, i.e.
x R y => y R x
x R y => x == y
I.e. different elements are not related.
the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts. the proper or due proportion of the parts of a body or whole to one another with regard to size and form; excellence of […]
a form or development of trade unionism, originating in France, that aims at the possession of the means of production and distribution, and ultimately at the control of society, by federated bodies of industrial workers, and that seeks to realize its purposes through general strikes, terrorism, sabotage, etc. an economic system in which workers own […]
a group of individuals or organizations combined or making a joint effort to undertake some specific duty or carry out specific transactions or negotiations: The local furniture store is individually owned, but is part of a buying syndicate. a combination of bankers or capitalists formed for the purpose of carrying out some project requiring large […]
an assembly of ecclesiastics or other church delegates, convoked pursuant to the law of the church, for the discussion and decision of ecclesiastical affairs; ecclesiastical council. any council. Contemporary Examples Bartholomew said that he and Francis wanted to leave the synod as a “legacy to ourselves and our successors.” Plotting Nicea III Could Be Pope […]