crop vs ideal

crop

noun
  • A group, cluster or collection of things occurring at the same time. 

  • Tin ore prepared for smelting. 

  • The lashing end of a whip. 

  • A plant, especially a cereal, grown to be harvested as food, livestock fodder, or fuel or for any other economic purpose. 

  • A photograph or other image that has been reduced by removing the outer parts. 

  • The foliate part of a finial. 

  • The head of a flower, especially when picked; an ear of corn; the top branches of a tree. 

  • An entire short whip, especially as used in horse-riding; a riding crop. 

  • An outcrop of a vein or seam at the surface. 

  • An entire oxhide. 

  • A rocky outcrop. 

  • A pouch-like part of the alimentary tract of some birds (and some other animals), used to store food before digestion or for regurgitation; a craw. 

  • A short haircut. 

  • The natural production for a specific year, particularly of plants. 

  • A group of vesicles at the same stage of development in a disease. 

  • The act of cropping. 

verb
  • To remove the outer parts of a photograph or other image, typically in order to frame the subject better. 

  • To remove the top end of something, especially a plant. 

  • To cause to bear a crop. 

  • To beat with a crop, or riding-whip. 

  • To yield harvest. 

  • To mow, reap or gather. 

  • To cut (especially hair or an animal's tail or ears) short. 

ideal

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

  • 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. 

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