ideal
IPA: aɪdˈiɫ
noun
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- (algebra, ring theory) A subring closed under multiplication by its containing ring.
- (algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- (set theory) 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.
- (algebra, Lie theory) 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.
- (algebra) 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 city in Georgia, United States.
- An unincorporated community in Illinois.
- An unincorporated community in South Dakota.
adjective
- Optimal; being the best possibility.
- Perfect, flawless, having no defects.
- Pertaining to ideas, or to a given idea.
- Existing only in the mind; conceptual, imaginary.
- Teaching or relating to the doctrine of idealism.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
Advertisement
Examples of "ideal" in Sentences
- Utopia is an idealized society.
- She likes the millennial ideal.
- The dress is ideal for the party.
- It is the ideal haven for joggers.
- But, the vegetarian diet was the original ideal.
- The city was the ideal location for the meeting.
- Ideally, the separation of the signals is complete.
- Beethoven was attracted to the ideals of the Enlightenment.
- Perfection is the ideal, while ambivalence is its application.
- The title also references the word utopia, the state of ideal perfection.
Advertisement
Advertisement