Corollary: meaning, definitions and examples
๐
corollary
[ kษหrษl.ษ.ri ]
mathematics, logic
A corollary is a statement that follows readily from a previous statement or proposition that has been proven. It is often considered an easy or obvious consequence that requires little additional proof because it is logically derived from established results. Corollaries provide insight and additional information about the original statement, and they are frequently used in mathematical and logical contexts. For example, if a theorem is proved, a corollary can be easily inferred from that theorem without extensive additional research.
Synonyms
consequence, implication, outcome, result.
Examples of usage
- The triangle inequality is a corollary of the properties of absolute values.
- From the theorem, we can derive a corollary that simplifies our calculations.
- The corollary states that with the assumptions made, the following must also be true.
Translations
Translations of the word "corollary" in other languages:
๐ต๐น corolรกrio
๐ฎ๐ณ เคเคชเคธเคเคนเคพเคฐ
๐ฉ๐ช Korollar
๐ฎ๐ฉ korolari
๐บ๐ฆ ะบะพัะพะปัั
๐ต๐ฑ korolarny
๐ฏ๐ต ่ฃ้ก
๐ซ๐ท corollaire
๐ช๐ธ corolario
๐น๐ท korolarya
๐ฐ๐ท ๋ถ๊ฐ๋ช ์
๐ธ๐ฆ ูุชูุฌุฉ
๐จ๐ฟ korolรกล
๐ธ๐ฐ korolรกr
๐จ๐ณ ๆจ่ฎบ
๐ธ๐ฎ korolar
๐ฎ๐ธ afleiรฐing
๐ฐ๐ฟ าะพััััะฝะดั
๐ฌ๐ช แแแ แแแแ แ
๐ฆ๐ฟ korolyar
๐ฒ๐ฝ corolario
Etymology
The word 'corollary' originates from the Latin term 'corollarium', which means 'a garland' or 'a crown', derived from 'corolla', meaning 'little crown'. The etymology reflects the idea that a corollary is an addition to something already established, much like a garland that adorns a statue or a king's crown that signifies power. The term was adopted into English in the early 17th century, entering the vocabulary of mathematics and logic as a technical term for an inference drawn from an already proven theorem. Over time, it has retained its academic roots while also being used in broader contexts to refer to any result or consequence that follows logically from a preceding statement or event.
Word Frequency Rank
At position #12,991, this word is part of sophisticated English vocabulary. It's useful for academic or professional contexts where precise language is needed.
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- 12988 veiled
- 12989 forefront
- 12990 subsidence
- 12991 corollary
- 12992 masculinity
- 12993 subunit
- 12994 repealing
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