n-th

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Definition
  1. Adjective:
    • Being the last or greatest in an indefinitely large series; denoting an unspecified member in a sequence, often implying the ultimate or extreme case.
Usage
  • The adjective "n-th" is used primarily in mathematical, logical, and figurative contexts to refer to an unspecified ordinal position in a sequence, where 'n' can represent any number. It often emphasizes the concept of an indefinite or very large number in a series.
  • It is commonly used in the phrase "to the nth degree", which means to the utmost extent or to the greatest possible degree.
Examples
  • Adjective:
    • We had to check every n-th entry in the massive ledger for errors. (We had to check an unspecified, possibly every, entry in the series.)
    • The formula calculates the value of the n-th term in the progression. (The formula finds the value of the term whose position is represented by the variable 'n'.)
    • Her patience was tested to the nth degree. (Her patience was tested to the absolute maximum limit.)
Advanced Usage
  • "to the nth": A shortened, informal form of "to the nth degree," meaning to the greatest possible extent.
    • He is meticulous to the nth, checking every single detail.
  • In mathematics and computing, it denotes an arbitrary iteration or element.
    • The algorithm's efficiency is evaluated for the n-th iteration.
Variants and Related Words
  • Nth (adj): An alternative spelling without the hyphen: .
    • This is the nth time I've reminded you.
  • Umpteenth (adj, informal): A non-numerical synonym meaning a very large, indefinite number in a series.
    • For the umpteenth time, please close the door.
Synonyms
  • Ultimate: furthest or final in a progression.
  • Indefinite ordinal: referring to an unspecified position in a sequence.
Related Phrases
  • To the nth degree: (Idiom) To the utmost possible extent or limit.
    • She is reliable to the nth degree.
  • The nth power: (Mathematics) A number multiplied by itself n times.
    • The equation involves a variable raised to the nth power.
Adjective
  1. last or greatest in an indefinitely large series
    • to the nth degree

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