complement vs ideal

complement

noun
  • Given two sets, the set containing one set's elements that are not members of the other set (whether a relative complement or an absolute complement). 

  • Fullness (of the moon). 

  • A nucleotide sequence in which each base is replaced by the complementary base of the given sequence: adenine (A) by thymine (T) or uracil (U), cytosine (C) by guanine (G), and vice versa. 

  • An angle which, together with a given angle, makes a right angle. 

  • Something which completes, something which combines with something else to make up a complete whole; loosely, something perceived to be a harmonious or desirable partner or addition. 

  • A word or group of words that completes a grammatical construction in the predicate and that describes or is identified with the subject or object. 

  • A voltage level with the opposite logical sense to the given one. 

  • A bit with the opposite value to the given one; the logical complement of a number. 

  • One of several blood proteins that work with antibodies during an immune response. 

  • Obsolete spelling or misspelling of compliment. 

  • The radix complement of a number; the two's complement of a binary number. 

  • The whole working force of a vessel. 

  • An interval which, together with the given interval, makes an octave. 

  • The diminished radix complement of a number; the nines' complement of a decimal number; the ones' complement of a binary number. 

  • The numeric complement of a number. 

  • Synonym of alexin 

  • An expression related to some other expression such that it is true under the same conditions that make other false, and vice versa. 

  • The color which, when mixed with the given color, gives black (for mixing pigments) or white (for mixing light). 

  • The totality, the full amount or number which completes something. 

verb
  • To complete, to bring to perfection, to make whole. 

  • To provide what the partner lacks and lack what the partner provides, thus forming part of a whole. 

  • To change a voltage, number, color, etc. to its complement. 

ideal

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

  • 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 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 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 complement and ideal occurred in a corpus of books? (source: Google Ngram Viewer )