minimum vs ultimate

minimum

noun
  • The lowest limit. 

  • The smallest amount. 

  • He always tries to get away with doing the minimum. 

  • A period of minimum brightness or energy intensity (of a star). 

  • The smallest member of a batch or sample or the lower bound of a probability distribution. 

  • A lower bound of a set which is also an element of that set. 

adj
  • To the lowest degree. 

ultimate

noun
  • The greatest extremity; the maximum 

  • The most basic or fundamental of a set of things 

  • The final or most distant point; the conclusion 

adj
  • Being the most distant or extreme; farthest. 

  • That will happen at some time; eventual. 

  • Final; last in a series. 

  • Last in a word or other utterance. 

  • Being the greatest possible; maximum; most extreme. 

  • Last in a train of progression or consequences; tended toward by all that precedes; arrived at, as the last result; final. 

  • Incapable of further analysis; incapable of further division or separation; constituent; elemental. 

How often have the words minimum and ultimate occurred in a corpus of books? (source: Google Ngram Viewer )