rational

English dictionary entry

Meanings

adj
  1. Capable of reasoning.
  2. Logically sound; not self-contradictory or otherwise absurd.
  3. Healthy or balanced intellectually; exhibiting reasonableness.
  4. Comprising, or expressible as, a ratio
  5. Of a number, capable of being expressed as the ratio of two integers.
  6. Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
  7. Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
  8. Of a function between varieties: acting as a morphism on an open subset of its domain.
  9. Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
  10. synonymous replacement for "condensed" in condensed formula.
noun
  1. A rational number: a number that can be expressed as the quotient of two integers.
noun
  1. The breastplate worn by Israelite high priests.

Pronunciation

ră'sh(ə)nəl /ˈɹæʃ(ə)nəl/ en-us-rational.ogg en-au-rational.ogg

Word forms

rational more rational most rational rationall rationals

Etymology

From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).

Translations

Armenian: ռացիոնալ Bulgarian: рационален Chinese Mandarin: 有理 Finnish: rationaali- German: rational Greek: ρητός Hindi: परिमेय Icelandic: ræður Japanese: 有理の Macedonian: рациона́лен Portuguese: racional Russian: рациона́льный Serbo-Croatian: рационалан Serbo-Croatian: racionalan Spanish: racional Tagalog: matwirin Ukrainian: раціона́льний
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