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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]
For example, the restriction of < from the reals to the integers is still asymmetric, and the converse or dual > of < is also asymmetric. An asymmetric relation need not have the connex property . For example, the strict subset relation ⊊ {\displaystyle \,\subsetneq \,} is asymmetric, and neither of the sets { 1 , 2 } {\displaystyle \{1,2 ...
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 basic idea is that an asymmetrical set of N phasors can be expressed as a linear combination of N symmetrical sets of phasors by means of a complex linear transformation. [1] Fortescue's theorem (symmetrical components) is based on superposition principle , [ 2 ] so it is applicable to linear power systems only, or to linear approximations ...
Asymmetrical aircraft have left- and right-hand sides which are not exact mirror images of each other. Although most aircraft are symmetrical, there is no fundamental reason why they must be, and design goals can sometimes be best achieved with an asymmetrical aircraft.
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.
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Chiral molecules are always dissymmetric (lacking S n) but not always asymmetric (lacking all symmetry elements except the trivial identity). Asymmetric molecules are always chiral. [6] The following table shows some examples of chiral and achiral molecules, with the Schoenflies notation of the point group of the molecule.