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Ideal vs Pursuit - What's the difference?

ideal | pursuit |

As nouns the difference between ideal and pursuit

is that ideal is (a perfect standard of beauty, intellect etc.)A perfect standard of beauty, intellect etc., or a standard of excellence to aim at while pursuit is the act of pursuing.

As an adjective ideal

is optimal; being the best possibility.

As a proper noun Ideal

is a city in Georgia, USA.

ideal

English

Adjective

(en adjective)
  • Optimal; being the best possibility.
  • Perfect, flawless, having no defects.
  • * Rambler
    • There will always be a wide interval between practical and ideal excellence.
  • Pertaining to ideas, or to a given idea.
  • 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 , , [[s:Frankenstein/Chapter 4, 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.
  • Teaching or relating to the doctrine of idealism.
    • the ideal theory or philosophy
  • (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.

    Synonyms

    * See also

    Related terms

    * ideality * idealless * ideally * idealism * idealistic * idealize

    Noun

    (en noun)
  • 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 -
  • (mathematics, order theory) A non-empty]] lower set (of a partially ordered set) which is [[closure, closed under binary suprema (a.k.a. joins).[http://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem#Prime_ideal_theorems]
    • If (1) the empty set were called a "small" set, and (2) any subset of a "small" set were also a "small" set, and (3) the union of any pair of "small" sets were also a "small" set, then the set of all "small" sets would form an ideal .
  • (for example, algebra) A subring closed under multiplication by its containing ring.
    • Let \mathbb{Z} be the ring of integers and let 2\mathbb{Z} be its ideal of even integers. Then the quotient ring \mathbb{Z} / 2\mathbb{Z} is a Boolean ring.
    The product of two ideals \mathfrak{a} and \mathfrak{b} is an ideal \mathfrak{a b} which is a subset of the intersection of \mathfrak{a} and \mathfrak{b}. This should help to understand why maximal ideals' are prime ' ideals . Likewise, the union of \mathfrak{a} and \mathfrak{b} is a subset of \mathfrak{a + b}.

    Antonyms

    * (order theory) filter

    Derived terms

    * left ideal * right ideal * two-sided ideal * principal ideal

    External links

    * (wikipedia)

    Anagrams

    * ----

    pursuit

    English

    Alternative forms

    * (l) (obsolete)

    Noun

    (en noun)
  • The act of pursuing.
  • * {{quote-book, year=1922, author=(Ben Travers), title=(A Cuckoo in the Nest)
    • , chapter=2 citation , passage=Mother
  • * {{quote-news, year=2011, date=September 27, author=Alistair Magowan, work=BBC Sport
    • , title= Bayern Munich 2-0 Man City , passage=Not only were Jupp Heynckes' team pacey in attack but they were relentless in their pursuit of the ball once they had lost it, and as the game wore on they merely increased their dominance as City wilted in the Allianz Arena.}}
  • A hobby or recreational activity, done regularly.
  • (cycling) A discipline in track cycling where two opposing teams start on opposite sides of the track and try to catch their opponents.
  • (legal, obsolete) prosecution
  • * Fuller
    • That pursuit for tithes ought, and of ancient time did pertain to the spiritual court.

    Derived terms

    * curve of pursuit, pursuit curve * in pursuit * individual pursuit * pursuit plane * team pursuit

    External links

    * ("pursuit" on Wikipedia)