ideal vs standard

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. 

standard

noun
  • A level of quality or attainment. 

  • Something used as a measure for comparative evaluations; a model. 

  • The proportion of weights of fine metal and alloy established for coinage. 

  • The upper petal or banner of a papilionaceous corolla. 

  • The sheth of a plough. 

  • A collar of mail protecting the neck. 

  • A rule or set of rules or requirements which are widely agreed upon or imposed by government. 

  • An inverted knee timber placed upon the deck instead of beneath it, with its vertical branch turned upward from that which lies horizontally. 

  • One of the upright members that supports the horizontal axis of a transit or theodolite. 

  • A sturdy, woody plant whose upright stem is used to graft a less hardy ornamental flowering plant on, rather then actually planting it. 

  • Any upright support, such as one of the poles of a scaffold. 

  • A manual transmission vehicle. 

  • A bottle of wine containing 0.750 liters of fluid. 

  • A large drinking cup. 

  • standard idiom, a prestigious or standardized language variety; standard language 

  • A tree of natural size supported by its own stem, and not dwarfed by grafting on the stock of a smaller species nor trained upon a wall or trellis. 

  • A musical work of established popularity. 

  • An object supported in an upright position, such as a lamp standard. 

  • The flag or ensign carried by a military unit. 

  • Grade level in primary education. 

adj
  • Having a manual transmission. 

  • Conforming to the standard variety. 

  • Of a usable or serviceable grade or quality. 

  • As normally supplied (not optional). 

  • Falling within an accepted range of size, amount, power, quality, etc. 

  • Having recognized excellence or authority. 

  • Growing alone as a free-standing plant; not trained on a post etc. 

intj
  • An expression of agreement. 

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