adjoint
Conjugate transpose matrix
In mathematics, an adjoint is a related entity derived through a specific transformation.
An adjoint matrix (or classical adjoint) is formed from cofactors of the original.
In linear algebra, the adjoint of an operator is its conjugate transpose.
Adjoint functors in category theory form pairs where one reverses the other's mappings.
The word also appears in differential equations and quantum mechanics, always denoting a complementary or dual mathematical object.
Modify verbs grammatically
- operatorOne who works machinery
- observableCapable of being detected
- quantumSmallest discrete unit
- DiracTheoretical physicist, antimatter predictor
symmetry · eigenstate · measurement · boundary conditions · propagator · gauge · field theory
Modify verbs grammatically
- transposeReverse order of elements
- dualHaving two parts
- boundedConfined within limits
- unboundedHaving no limits
spectral · eigenvalue · eigenvector · functional · bilinear · adjunction · involution
Reverse order of elements
- inverseOpposite in position
- matrixOrdered numerical arrangement
- determinantMatrix-derived scalar quantity
- cofactorEnzyme-activating compound
minor · eigenvalue · eigenvector · diagonalization · rank · nullity · trace · symmetric
Attaching one thing another
- unitIndividual part or measure
- universal propertyMorphism-based defining trait
- equivalenceState of being equal
- isomorphismStructure-preserving bijective map
category · limit · representable · monad
conjugate
Modify verbs grammatically
- operatorOne who works machinery
- observableCapable of being detected
- quantumSmallest discrete unit
Dirac · symmetry · eigenstate · measurement · boundary conditions · propagator · gauge · field theory
conjugate
Modify verbs grammatically
unbounded · spectral · eigenvalue · eigenvector · functional · bilinear · adjunction · involution
transpose
Reverse order of elements
- inverseOpposite in position
- matrixOrdered numerical arrangement
- determinantMatrix-derived scalar quantity
cofactor · minor · eigenvalue · eigenvector · diagonalization · rank · nullity · trace · symmetric · orthogonal
adjunction
Attaching one thing another
- unitIndividual part or measure
- universal propertyMorphism-based defining trait
- equivalenceState of being equal
isomorphism · category · limit · representable · monad