completion

Completion is the act or state of making something complete or ending a process. It is used across disciplines to denote bringing parts together, satisfying requirements, or reaching a final, satisfactory state. In everyday and professional contexts, completion often refers to finishing tasks, projects, or stages of development.

In mathematics, completion describes a formal process that renders a structure complete in a given sense. In metric spaces, the Cauchy completion adjoins limit points of Cauchy sequences, yielding a complete space in which the original space embeds densely. The real numbers can be viewed as the completion of the rationals under the usual metric. More generally, completion often involves a universal property: there exists a unique, structure-preserving dense embedding into a complete space. Completion enables limits, convergence, and analysis to extend beyond the original setting.

In computing, autocompletion (or code completion) is a user interface feature that suggests the rest of a word or statement as the user types. Implementations range from simple dictionary lookups to statistical and machine-learning models, and they are common in editors, IDEs, and search boxes. Autocompletion aims to speed writing and reduce errors, though it can bias users toward common or familiar terms.

In project management and manufacturing, completion marks the point at which work meets all criteria and is ready for delivery, typically tracked by milestones or completion percentages. In linguistics, completion tasks or cloze tests assess a speaker’s or reader’s ability to supply missing material, highlighting the cognitive aspect of predicting or finishing sequences.