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What (who) is absorption spectrum - definition

THEOREM

Absorption identities; Absorption Identities; Absorption Law; Absorption laws; Absorption identity

Absorption (acoustics)

TRANSFER OF SOUND ENERGY INTO INTERNAL ENERGY OF THE ABSORBER

Sound absorption; Acoustic insulator

Acoustic absorption refers to the process by which a material, structure, or object takes in sound energy when sound waves are encountered, as opposed to reflecting the energy. Part of the absorbed energy is transformed into heat and part is transmitted through the absorbing body.

https://en.wikipedia.org/wiki/Absorption_(acoustics)

Spectrum (functional analysis)

TERM USED IN FUNCTIONAL ANALYSIS

Approximate eigenvalue; Operator spectrum; Spectrum of an operator; Compression spectrum; Spectral representation; Point spectrum; Continuous spectrum (functional analysis)

In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalues of a matrix. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if T-\lambda I is not invertible, where I is the identity operator.

https://en.wikipedia.org/wiki/Spectrum_(functional_analysis)

spectrum

CONTINUOUS RANGE OF VALUES, SUCH AS WAVELENGTHS IN PHYSICS

Energy spectrum; Spectracular; Energy spectra; Spectroscopic observations; Spectral density (physical science); Spectrum of disease; Spectrum (physics)

(spectra, or spectrums)

1.

The spectrum is the range of different colours which is produced when light passes through a glass prism or through a drop of water. A rainbow shows the colours in the spectrum.

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2.

A spectrum is a range of a particular type of thing.

Politicians across the political spectrum have denounced the act...

The term 'special needs' covers a wide spectrum of problems.

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3.

A spectrum is a range of light waves or radio waves within particular frequencies.

Vast amounts of energy, from X-rays right through the spectrum down to radio waves, are escaping into space...

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Wikipedia

Absorption law

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 $\scriptstyle \lor$ ("join") and $\scriptstyle \land$ ("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 $\scriptstyle \lor$ and $\scriptstyle \land$ , 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.

https://en.wikipedia.org/wiki/Absorption law