[ahy-dee-uh l, ahy-deel] /aɪˈdi əl, aɪˈdil/
a conception of something in its perfection.
a standard of perfection or excellence.
a person or thing conceived as embodying such a conception or conforming to such a standard, and taken as a model for imitation:
Thomas Jefferson was his ideal.
an ultimate object or aim of endeavor, especially one of high or noble character:
He refuses to compromise any of his ideals.
something that exists only in the imagination:
To achieve the ideal is almost hopeless.
Mathematics. a subring of a ring, any element of which when multiplied by any element of the ring results in an element of the subring.
conceived as constituting a standard of perfection or excellence:
regarded as perfect of its kind:
an ideal spot for a home.
existing only in the imagination; not real or actual:
Nature is real; beauty is ideal.
advantageous; excellent; best:
It would be ideal if she could accompany us as she knows the way.
based upon an ideal or ideals:
the ideal theory of numbers.
a conception of something that is perfect, esp that which one seeks to attain
a person or thing considered to represent perfection: he’s her ideal
something existing only as an idea
a pattern or model, esp of ethical behaviour
conforming to an ideal
of, involving, or existing in the form of an idea
early 15c., “pertaining to an archetype or model,” from Late Latin idealis “existing in idea,” from Latin idea in the Platonic sense (see idea). Sense of “perfect” first recorded 1610s.
“perfect person or thing,” 1796, in a translation of Kant, from ideal (adj.).
ideal i·de·al (ī-dē’əl, ī-dēl’)
1. Ideal DEductive Applicative Language. A language by Pier Bosco and Elio Giovannetti combining Miranda and Prolog. Function definitions can have a guard condition (introduced by “:-“) which is a conjunction of equalities between arbitrary terms, including functions. These guards are solved by normal Prolog resolution and unification. It was originally compiled into C-Prolog but was eventually to be compiled to K-leaf.
2. A numerical constraint language written by Van Wyk of Stanford in 1980 for typesetting graphics in documents. It was inspired partly by Metafont and is distributed as part of Troff.
[“A High-Level Language for Specifying Pictures”, C.J. Van Wyk, ACM Trans Graphics 1(2):163-182 (Apr 1982)].
In domain theory, a non-empty, downward closed subset which is also closed under binary least upper bounds. I.e. anything less than an element is also an element and the least upper bound of any two elements is also an element.
- Ideal crystal
noun 1. (chem) a crystal in which there are no defects or impurities
- Ideal element
noun 1. any element added to a mathematical theory in order to eliminate special cases. The ideal element i = √–1 allows all algebraic equations to be solved and the point at infinity (ideal point) ensures that any two lines in projective geometry intersect
[ahy-dee-uh, ahy-deeuh ] /aɪˈdi ə, aɪˈdiə/ noun 1. any conception existing in the mind as a result of mental understanding, awareness, or activity. 2. a thought, conception, or notion: That is an excellent idea. 3. an impression: He gave me a general idea of how he plans to run the department. 4. an opinion, view, […]
noun, Physics. 1. a gas composed of molecules on which no forces act except upon collision with one another and with the walls of the container in which the gas is enclosed; a gas that obeys the ideal gas law. noun 1. a hypothetical gas which obeys Boyle’s law exactly at all temperatures and pressures, […]