global maximum

Overall greatest value

The highest value a function reaches over its entire domain.

Unlike a local maximum, which is merely higher than nearby points, a global maximum is the absolute peak—no value anywhere exceeds it.

The function has several peaks, but only one global maximum.

In optimization problems, finding the global maximum (or minimum) is often the goal, though local maxima can trap algorithms short of the true answer.

mathematical

peak

Utmost height attained

critical point · convergence · local minimum · optimization · algorithm · heuristic · genetic algorithm · calculus · derivative · saddle point

achievement

pinnacle

Utmost summit or spire

  • apexUppermost point or culmination
  • zenithPoint straight overhead
  • summitPeak or diplomatic gathering

acme · culmination · peak performance · crowning achievement · high point · magnum opus · tour de force · masterpiece · career peak · personal best

goal

aspiration

Strong desire for achievement

destination · ideal · dream · endgame · purpose · vision · north star · gold standard · excellence · mastery

Opposites
optimization extremum type

global maximumabsolute minimum

Lowest possible threshold

lowest point · nadir

scope of extremum

global maximumlocal maximum

Highest nearby, not overall

Family

global, globally, globalize, globalization, globe, globes, globular, globule, maximum

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Used worldwide · Timeless · Abstract · Rated G