simplifies

Simplifies is the third-person singular present tense of the verb simplify. To simplify something is to make it easier to do or understand by removing complexity, reducing the number of steps, or expressing it in a clearer form.

Etymology and relation: The verb derives from the Latin simplex through the French simplifier and the English word simple. The related noun simplification and the adjectives simple and simplistic share the same root. The form simplifies is part of standard English conjugation for the verb.

Usage in mathematics and science: In mathematics, to simplify means to reduce an expression to its most straightforward form, such as reducing fractions, combining like terms, or removing radicals where possible. For example, (2x^2+4x)/2x simplifies to x+2, and sqrt(18) simplifies to 3*sqrt(2). In science and engineering, simplifying models or procedures helps focus on essential factors and makes calculations or communication more efficient, while preserving essential behavior.

Usage in language and computing: In everyday language, simplifying can mean making explanations more accessible or steps more approachable. In computing and data analysis, simplification often aims to reduce algorithmic complexity, data volume, or user interface clutter, with careful attention to not omit critical details.

Cautions: Oversimplification can misrepresent information, overlooking important nuances or constraints. Effective simplification balances clarity and accuracy, tailoring the degree of reduction to the audience and purpose.

See also: simplify, simplification.