asymptotic
Endlessly approaching, never arriving
Asymptotic describes something that approaches a limit but never quite reaches it.
In mathematics, a curve is asymptotic to a line if it draws infinitely closer without touching: The graph approaches zero asymptotically.
The word extends to any process of diminishing returns or endless approach: Progress became asymptotic—each improvement smaller than the last.
Process of approaching sameness
- approachWay of handling something
- boundSecured or destined
- thresholdPoint of beginning
- saturationState of complete permeation
plateau · ceiling · tendency · approximation · closeness · nearness · steady state · equilibrium
Process of approaching sameness
- divergenceSeparation from common origin
- seriesOrdered set of related items
- expansionIncrease in scope
- approximationNear but inexact value
estimation · order · complexity · notation · bounds · growth rate · scaling · runtime
Smooth, angleless line
- tangentLine touching curve once
- axisRotation reference line
- hyperbolaCurve with two branches
- plotStoryline or land parcel
function · slope · intercept · exponential · logarithmic · coordinate · inflection · tail
Inclination toward a behavior
- trendDirection of change
- long-termLasting extended period
- eventualOccurring after delay
- ultimateHighest or most extreme
limiting · infinity · large-scale · stabilization · decay · growth · oscillation · damping
convergence
Process of approaching sameness
saturation · plateau · ceiling · tendency · approximation · closeness · nearness · steady state · equilibrium · homeostasis
convergence
Process of approaching sameness
- divergenceSeparation from common origin
- seriesOrdered set of related items
- expansionIncrease in scope
approximation · estimation · order · complexity · notation · bounds · growth rate · scaling · runtime · algorithm
curve
Smooth, angleless line
plot · function · slope · intercept · exponential · logarithmic · coordinate · inflection · tail · growth curve
tendency
Inclination toward a behavior
ultimate · limiting · infinity · large-scale · stabilization · decay · growth · oscillation · damping
- Algorithm Analysisruntime, running time, growth rate, complexity, linear
- functionslinear function, function, quadratic function, polynomial function, exponential function
- Estimationballpark estimate, estimator, educated guess, guesstimate, rough estimate
- numerical methodsbisection, interpolation, Gaussian elimination, least squares, convergence
- Simplificationsideal gas, frictionless, point source, rigid body, blackbody
- stability theorystructural stability, instability, equilibrium, Lyapunov exponent, attractor
asymptoticintersecting
Meeting at a point
crossing · secant · tangent · coincident · touching
asymptoticdivergent
Deviating from the norm
unbounded · oscillating · explosive · chaotic · unstable
asymptoticexponential
Increasing by constant ratio
accelerating · instantaneous · immediate · linear · abrupt