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Rational
Definitions
- 1 Capable of reasoning.
"Man is a rational creature."
- 2 Logically sound; not self-contradictory or otherwise absurd.
"His statements were quite rational."
- 3 Healthy or balanced intellectually; exhibiting reasonableness.
"rational conduct"
- 4 Comprising, or expressible as, a ratio; Of a number, capable of being expressed as the ratio of two integers. not-comparable
"¾ is a rational number, but √2 is an irrational number."
- 5 Comprising, or expressible as, a ratio; Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials. not-comparable
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- 6 Comprising, or expressible as, a ratio; Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space not-comparable
- 7 Comprising, or expressible as, a ratio; Of a function between varieties: acting as a morphism on an open subset of its domain. not-comparable
- 8 Comprising, or expressible as, a ratio; 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). not-comparable
- 9 synonymous replacement for "condensed" in condensed formula. obsolete
- 1 having its source in or being guided by the intellect (as distinguished from experience or emotion) wordnet
- 2 of or associated with or requiring the use of the mind wordnet
- 3 consistent with or based on or using reason wordnet
- 4 capable of being expressed as a quotient of integers wordnet
- 1 A rational number: a number that can be expressed as the quotient of two integers.
"The quotient of two rationals is again a rational."
- 2 The breastplate worn by Israelite high priests. historical
"The Rationale of iudgement alſo thou shalt mke with embrodered worke of diuers colours, according to the workmanship of the Ephod of gold, hyacinth, and purple, and ſcarlet twiſe died, and twiſted ſilke."
- 3 an integer or a fraction wordnet
Etymology
From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).
From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).
From Old French rational, from Medieval Latin rationale (“a pontifical stole, a pallium, an ornament worn over the chasuble”), neuter of Latin rationalis (“rational”), for which see the first etymology. Translation of λογεῖον (logeîon) or perhaps λόγιον (lógion, “oracle”) in the Septuagint version of Exodus 28.
See also for "rational"
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