grade vs ideal

grade

noun
  • A degree or level of something; a position within a scale; a degree of quality. 

  • A slope (up or down) of a roadway or other passage 

  • Performance on a test or other evaluation(s), expressed by a number, letter, or other symbol; a score. 

  • An area that has been flattened by a grader (construction machine). 

  • In a linear system of divisors on an n-dimensional variety, the number of free intersection points of n generic divisors. 

  • A harsh scraping or cutting; a grating. 

  • A rating. 

  • A taxon united by a level of morphological or physiological complexity that is not a clade. 

  • A level of primary and secondary education. 

  • A gradian. 

  • An eyeglass prescription. 

  • The degree of malignity of a tumor expressed on a scale. 

  • Degree (any of the three stages (positive, comparative, superlative) in the comparison of an adjective or an adverb). 

  • The level of the ground. 

  • A student of a particular grade (used with the grade level). 

verb
  • To describe, modify or inflect so as to classify as to degree. 

  • To pass imperceptibly from one grade into another. 

  • To pass from one school grade into the next. 

  • To assign scores to the components of an academic test, or to overall academic performance. 

  • To flatten, level, or smooth a large surface, especially with a grader. 

  • To remove or trim part of a seam allowance from a finished seam so as to reduce bulk and make the finished piece more even when turned right side out. 

  • To apply classifying labels to data (typically by a manual rather than automatic process). 

  • To organize in grades. 

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. 

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