antisymmetric
Sign flips transposed
Antisymmetric describes a relation where if A stands in that relation to B, and B stands in that relation to A, then A and B must be identical.
The classic example is "less than or equal to" in mathematics: if x ≤ y and y ≤ x, then x = y.
The term appears in logic, set theory, and abstract algebra.
Not to be confused with asymmetric, which forbids any reciprocal relationship whatsoever.
Ordered numerical arrangement
- relationConnection or kin
- commutatorRotating contact that reverses current
- bilinearLinear in both arguments
- tensorMultilinear algebraic object
determinant · eigenvalue · operator · transformation · linear algebra · orthogonal · adjoint · permutation
Half-spin matter constituents
- spinRapid rotation around axis
- wave functionQuantum system's complete description
- quantum mechanicsPhysics at nanoscopic scales
- parityState of being equal
particle physics · bosons · antiparticles · field theory · quarks · leptons · neutrinos · standard model
Placing in sequence
- hierarchyRanked authority structure
- directedGave guidance or orders
- acyclicLacking repeated patterns
- dominanceSuperior influence over others
precedence · divisibility · subset · ancestor · implication · strict order · transitivity · comparability
matrix
Ordered numerical arrangement
- relationConnection or kin
- commutatorRotating contact that reverses current
- bilinearLinear in both arguments
tensor · determinant · eigenvalue · operator · transformation · linear algebra · orthogonal · adjoint · permutation · eigenvector
fermions
Half-spin matter constituents
- spinRapid rotation around axis
- wave functionQuantum system's complete description
- quantum mechanicsPhysics at nanoscopic scales
parity · particle physics · bosons · antiparticles · field theory · quarks · leptons · neutrinos · standard model · superposition
ordering
Placing in sequence
dominance · precedence · divisibility · subset · ancestor · implication · strict order · transitivity · comparability · incomparability
antisymmetricsymmetric
Equal on both sides
symmetrical · reflexive · commutative · bidirectional · mutual
antisymmetricsymmetric
Equal on both sides
symmetrical · balanced · mirrored · reciprocal · bilateral
symmetry, symmetrical, symmetric, asymmetry, asymmetric, symmetrically, asymmetrically