upper bound
Highest possible value
An upper bound is a value that a quantity cannot exceed.
In mathematics, it's a number greater than or equal to every element in a set.
The term extends to practical limits: The budget sets an upper bound on what we can spend.
An upper bound may or may not be reachable—it marks the ceiling, not necessarily what's achieved.
Covering for top
- ceilingRoom's upper surface
- limitMaximum allowed extent
- peakUtmost height attained
- maximumGreatest permitted quantity
apex · threshold · top · height · summit · pinnacle · zenith · climax
Finite problem-solving procedure
- complexityState of being complicated
- worst-caseMost unfavorable outcome imaginable
- performanceCarrying out a task
- optimizationMaximizing efficiency or performance
constraint · heuristic · parameter · benchmark · efficiency · polynomial · exponential · logarithmic
Bound on extent
- restrictionLimit on action
- boundaryLine marking a limit
- capCovering for top
- barrierObstruction preventing passage
containment · restraint · curtailment · check · control · regulation · confine · prohibition
Unreached bounding curve
- convergenceProcess of approaching sameness
- inequalityUnequal distribution of resources
- intervalDuration between two points
- set theoryMathematics of abstract collections
calculus · bounded · monotonic · epsilon · continuity · sequence · series · topology
cap
Covering for top
maximum · apex · threshold · top · height · summit · pinnacle · zenith · climax · acme
algorithm
Finite problem-solving procedure
- complexityState of being complicated
- worst-caseMost unfavorable outcome imaginable
- performanceCarrying out a task
optimization · constraint · heuristic · parameter · benchmark · efficiency · polynomial · exponential · logarithmic · runtime
limitation
Bound on extent
- restrictionLimit on action
- boundaryLine marking a limit
- capCovering for top
barrier · containment · restraint · curtailment · check · control · regulation · confine · prohibition · inhibition
asymptote
Unreached bounding curve
- convergenceProcess of approaching sameness
- inequalityUnequal distribution of resources
- intervalDuration between two points
set theory · calculus · bounded · monotonic · epsilon · continuity · sequence · series · topology · proof
- extremesbest, worst, biggest, smallest, highest
- limitslimit, limits, limitation, lower limit, time limits
- Pushing Limitsmax, peak, redline, breaking point, threshold
- boundslower limit, limit, boundary, ceiling, floor
- order theorylattice, comparable, incomparable, reflexivity, well-ordering
- asymptoticsorder of magnitude, growth rate, decay rate, exponential growth, exponential decay
upper boundlower bound
Minimum possible value
minimum · floor · lower limit · baseline · minimum threshold
bound, upper, update, upgrade, upbeat, uphold, upbraid, uppermost, uppercut