ideal vs presence

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. 

presence

noun
  • A quality that sets an individual out from others; a quality that makes them noticed and/or admired even if they are not speaking or performing. 

  • The part of space within one's immediate vicinity. 

  • Something (as a spirit) felt or believed to be present. 

  • A quality of poise and effectiveness that enables a performer to achieve a close relationship with their audience. 

  • The fact or condition of being present, or of being within sight or call, or at hand. 

  • Synonym of room tone 

  • The state of being closely focused on the here and now, not distracted by irrelevant thoughts. 

  • A company's business activity in a particular market. 

verb
  • To make or become present. 

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