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An asymmetric relation is a binary relation defined on a set of elements such that if holds for elements and , then must be false. Stated differently, an asymmetric relation is characterized by a necessary absence of symmetry of the relation in the opposite direction.
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 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.
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.
The asymmetric transmission phenomenon arises from different, e.g. left-to-right, circular polarization conversion efficiencies for opposite propagation directions of the incident wave and therefore the effect is referred to as circular conversion dichroism.
Symmetry in physics has been generalized to mean invariance—that is, lack of change—under any kind of transformation, for example arbitrary coordinate transformations. [17] This concept has become one of the most powerful tools of theoretical physics, as it has become evident that practically all laws of nature originate in symmetries.
Starbucks has used its image of a double-tailed siren since the early 1970s, but as the company has grown, she has undergone a number of changes.. While many of the alterations simply involved ...
Asymmetric cryptography, in public-key cryptography Asymmetric digital subscriber line , Internet connectivity Asymmetric multiprocessing , in computer architecture