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Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection). [1] Symmetry is an important property of both physical and abstract systems and it may be displayed in precise terms or in more aesthetic terms. [ 2 ]
An asymmetric relation need not have the connex property. For example, the strict subset relation is asymmetric, and neither of the sets {,} and {,} is a strict subset of the other. A relation is connex if and only if its complement is asymmetric.
Asymmetric warfare (or asymmetric engagement) is a type of war between belligerents whose relative military power, strategy or tactics differ significantly. This type of warfare often, but not necessarily, involves insurgents , terrorist groups , or resistance militias operating within territory mostly controlled by the superior force.
An asymmetric cell division produces two daughter cells with different cellular fates. This is in contrast to symmetric cell divisions which give rise to daughter cells of equivalent fates. Notably, stem cells divide asymmetrically to give rise to two distinct daughter cells: one copy of the original stem cell as well as a second daughter ...
In case of directional asymmetry, most individuals of a species are asymmetric to the same side, even though some individuals can be symmetric, or even asymmetric to the opposite side (cf., e.g., handedness). The relation between directional and fluctuating asymmetry is comparable to the concepts of accuracy and precision in empirical measurements.
This type of asymmetry can be called de jure asymmetry (Brown 2). The second type reflects agreements which come out of national policy, opting out, and (depending on one's definition of the term) bilateral and ad hoc deals with specific provinces, none of which are entrenched in the constitution. This type of asymmetry is known as de facto ...
The definition of antisymmetry says nothing about whether actually holds or not for any . An antisymmetric relation R {\displaystyle R} on a set X {\displaystyle X} may be reflexive (that is, a R a {\displaystyle aRa} for all a ∈ X {\displaystyle a\in X} ), irreflexive (that is, a R a {\displaystyle aRa} for no a ∈ X {\displaystyle a\in X ...
Asymmetric relation, in set theory; Asymmetric synthesis, in organic synthesis; Asymmetric warfare, in modern war; Asymmetric Publications, a video game company; Asymmetry (Mallory Knox album), 2014; Asymmetry (Karnivool album), 2013; Asymmetry (population ethics) Asymmetry (novel), a 2018 novel by Lisa Halliday