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Finitely: meaning, definitions and examples

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finitely

 

[ หˆfaษชnษชtli ]

Adverb
Context #1 | Adverb

In mathematics

Finitely refers to something that is limited in extent, not infinite. In mathematical contexts, it often describes a set or amount that can be counted or measured clearly within a specific range. The concept of finiteness is crucial in various branches of mathematics, such as calculus and set theory, where distinguishing between finite and infinite quantities helps in understanding the behavior of functions and sequences.

Synonyms

bounded, limited, restricted

Examples of usage

  • A finite number of solutions.
  • The series converges finitely.
  • Finitely represented sets are easier to analyze.

Translations

Translations of the word "finitely" in other languages:

๐Ÿ‡ต๐Ÿ‡น finito

๐Ÿ‡ฎ๐Ÿ‡ณ เคธเฅ€เคฎเคฟเคค

๐Ÿ‡ฉ๐Ÿ‡ช endlich

๐Ÿ‡ฎ๐Ÿ‡ฉ terbatas

๐Ÿ‡บ๐Ÿ‡ฆ ะบั–ะฝั†ะตะฒะพ

๐Ÿ‡ต๐Ÿ‡ฑ skoล„czony

๐Ÿ‡ฏ๐Ÿ‡ต ๆœ‰้™ใฎ

๐Ÿ‡ซ๐Ÿ‡ท fini

๐Ÿ‡ช๐Ÿ‡ธ finito

๐Ÿ‡น๐Ÿ‡ท sonlu

๐Ÿ‡ฐ๐Ÿ‡ท ์œ ํ•œํ•œ

๐Ÿ‡ธ๐Ÿ‡ฆ ู†ู‡ุงุฆูŠ

๐Ÿ‡จ๐Ÿ‡ฟ koneฤnรฝ

๐Ÿ‡ธ๐Ÿ‡ฐ koneฤnรฝ

๐Ÿ‡จ๐Ÿ‡ณ ๆœ‰้™็š„

๐Ÿ‡ธ๐Ÿ‡ฎ konฤen

๐Ÿ‡ฎ๐Ÿ‡ธ endanlegur

๐Ÿ‡ฐ๐Ÿ‡ฟ ะฐัา›ั‚ะฐะปา“ะฐะฝ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ“แƒแƒกแƒ แƒฃแƒšแƒ”แƒ‘แƒฃแƒšแƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ mรผษ™yyษ™n

๐Ÿ‡ฒ๐Ÿ‡ฝ finito

Etymology

The word 'finitely' comes from the adjective 'finite', which has its roots in the Latin word 'finitus', the past participle of 'finire' meaning 'to limit or to end'. The transition from 'finite' to 'finitely' as an adverb occurred in the late 19th century as mathematical language evolved to address the needs of formal logic and quantity interpretation. In mathematics, the distinction between finite and infinite became increasingly important, giving rise to a richer vocabulary to describe these concepts. 'Finitely' specifically highlights the idea of limits and boundaries in contrast to its opposite, 'infinitely', which suggests an absence of boundaries or an endless quantity. This term is frequently used in discussions regarding series, limits, and discrete structures in mathematics, reflecting the development of mathematical bases that rely heavily on defining quantities and their properties.

Word Frequency Rank

Positioned at #21,724, this word is part of extensive vocabulary. It's relatively rare in general usage but may be important in specific fields or formal writing.