ideal vs part

ideal

noun
  • A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. 

  • A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it. 

  • A subring closed under multiplication by its containing ring. 

  • A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins). 

  • A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection. 

  • A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍. 

adj
  • Not actually present, but considered as present when limits at infinity are included. 

  • Optimal; being the best possibility. 

  • Existing only in the mind; conceptual, imaginary. 

  • Pertaining to ideas, or to a given idea. 

  • Perfect, flawless, having no defects. 

  • Teaching or relating to the doctrine of idealism. 

part

noun
  • A constituent of character or capacity; quality; faculty; talent; usually in the plural with a collective sense. 

  • A unit of relative proportion in a mixture. 

  • The melody played or sung by a particular instrument, voice, or group of instruments or voices, within a polyphonic piece. 

  • Share, especially of a profit. 

  • A section of a document. 

  • Duty; responsibility. 

  • Each of two contrasting sides of an argument, debate etc.; "hand". 

  • A group inside a larger group. 

  • In the Hebrew lunisolar calendar, a unit of time equivalent to 3⅓ seconds. 

  • The dividing line formed by combing the hair in different directions. 

  • A fraction of a whole. 

  • Position or role (especially in a play). 

  • A distinct element of something larger. 

  • 3.5 centiliters of one ingredient in a mixed drink. 

  • A section of land; an area of a country or other territory; region. 

  • A room in a public building, especially a courtroom. 

verb
  • To separate by a process of extraction, elimination, or secretion. 

  • To leave (an IRC channel). 

  • To cut hair with a parting; shed. 

  • To leave the company of. 

  • To divide in two. 

  • To be divided in two or separated; shed. 

  • To separate or disunite; to remove from contact or contiguity; to sunder. 

adj
  • Fractional; partial. 

adv
  • Partly; partially; fractionally. 

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