Definizione monolingua

ideal

ideal (plural ideals)

1. A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

   Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny - Carl Schurz

2. (mathematics, order theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).^[2]
3. (for example, algebra) A subring closed under multiplication by its containing ring.

   Let be the ring of integers and let be its ideal of even integers. Then the quotient ring is a Boolean ring.

ideal (comparative more ideal, superlative most ideal)

1. Optimal; being the best possibility.
2. Perfect, flawless, having no defects.
3. Existing only in the mind; conceptual, imaginary.
   • 1796, Matthew Lewis, The Monk, Folio Society 1985, p. 256:

     The idea of ghosts is ridiculous in the extreme; and if you continue to be swayed by ideal terrors —

   • 1818, Mary Shelley, Frankenstein, or the Modern Prometheus,^[1] Chapter 4,

     Life and death appeared to me ideal bounds, which I should first break through, and pour a torrent of light into our dark world.

4. (mathematics) Not actually present, but considered as present when limits at infinity are included.

   ideal point

   An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.

ideal

1. ideally

Definizione dizionario ideal

	ideale
	a perfect standard of beauty, intellect etc.

Altri significati:

Optimal; being the best possibility.

'''(algebra)'''

conceptual

an unattainable state

(mathematics, order theory) A subset of a partially ordered set comprising an element and all elements less than it.

being perfect

Perfect, flawless, having no defects.

being optimal

Existing only in the mind; conceptual, imaginary.

(for example, algebra) A subring closed under multiplication by its containing ring.

A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

'''(order theory)'''

(mathematics) Not actually present, but considered as present when limits at infinity are included.