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Absorption Department - translation to spanish
![Liquid water absorption [[spectrum]] across a wide [[wavelength]] range](https://commons.wikimedia.org/wiki/Special:FilePath/Absorption spectrum of liquid water.png?width=200 "Liquid water absorption [[spectrum]] across a wide [[wavelength]] range")
.svg?width=200 "Part of the pure rotation absorption spectrum of water vapour")
![hitraniaoru}} Green color - water vapor, WN – [[wavenumber]] (caution: lower [[wavelength]]s on the right, higher on the left). Water vapor concentration for this gas mixture is 0.4%.](https://commons.wikimedia.org/wiki/Special:FilePath/Synthetic atmosphere absorption spectrum.gif?width=200 "hitraniaoru}} Green color - water vapor, WN – [[wavenumber]] (caution: lower [[wavelength]]s on the right, higher on the left). Water vapor concentration for this gas mixture is 0.4%.")
Ex: The use of fabric softener may however reduce the water absorption capabilities of the fabric, and is contraindicated in some articles like microfibre.
Ex: At present, the library board consists of: a housewife, who is serving as chairwoman, a stockbroker, a retired head of the health department, an owner of a hardware store, and an attorney = En la actualidad, la comisión de biblioteca consta de un ama de casa, que actúa de presidenta, un agente de bolsa, un director del departamento de sanidad jubilado, el propietario de una ferretería y un abogado.
Definition
Wikipedia
In algebra, the absorption law or absorption identity is an identity linking a pair of binary operations.
Two binary operations, ¤ and ⁂, are said to be connected by the absorption law if:
- a ¤ (a ⁂ b) = a ⁂ (a ¤ b) = a.
A set equipped with two commutative and associative binary operations ("join") and ("meet") that are connected by the absorption law is called a lattice; in this case, both operations are necessarily idempotent.
Examples of lattices include Heyting algebras and Boolean algebras, in particular sets of sets with union and intersection operators, and ordered sets with min and max operations.
In classical logic, and in particular Boolean algebra, the operations OR and AND, which are also denoted by and , satisfy the lattice axioms, including the absorption law. The same is true for intuitionistic logic.
The absorption law does not hold in many other algebraic structures, such as commutative rings, e.g. the field of real numbers, relevance logics, linear logics, and substructural logics. In the last case, there is no one-to-one correspondence between the free variables of the defining pair of identities.
