fixed points
Stable under transformation
Fixed points are locations or values that remain unchanged under some operation or transformation.
In mathematics, a fixed point of a function is an input that equals its output—if f(x) = x, then x is a fixed point.
The concept extends to physics and computing: The algorithm iterates until it reaches a fixed point.
Fixed points often represent stable states or equilibrium conditions in dynamic systems.
Repeated procedural pass
- convergenceProcess of approaching sameness
- attractorConvergence point for systems
- functionPurpose or duty
- mappingDiagram of correspondences
theorem · contraction · recursion · orbit · periodic · limit · sequence · operator
Convergence point for systems
- stabilityResistance to displacement
- equilibriumState of balance
- basinConcave water receptacle
- orbitCurved celestial path
trajectory · bifurcation · chaos · saddle · node · spiral · manifold · eigenvalue
Secures ships to seabed
- steady stateUnchanging system condition
- homeostasisBiological internal stability maintenance
- equilibriumState of balance
- balanceSteadiness or amount owed
robust · resilient · reliable · secure · persistent · enduring · self-correcting · feedback
Thorough change in form
- symmetryInvariance under transformation
- mappingDiagram of correspondences
- rotationTurning on an axis
- reflectionReturned light or thought
isometry · permutation · identity · kernel · stabilizer · orbit · preserved · unchanged
iteration
Repeated procedural pass
- convergenceProcess of approaching sameness
- attractorConvergence point for systems
- functionPurpose or duty
mapping · theorem · contraction · recursion · orbit · periodic · limit · sequence · operator · equation
attractor
Convergence point for systems
- stabilityResistance to displacement
- equilibriumState of balance
- basinConcave water receptacle
orbit · trajectory · bifurcation · chaos · saddle · node · spiral · manifold · eigenvalue · linearization
anchor
Secures ships to seabed
- steady stateUnchanging system condition
- homeostasisBiological internal stability maintenance
- equilibriumState of balance
balance · robust · resilient · reliable · secure · persistent · enduring · self-correcting · feedback · regulation
transformation
Thorough change in form
reflection · isometry · permutation · identity · kernel · stabilizer · orbit · preserved · unchanged · projection