different between standard vs ideal

English

Etymology

From Middle English, from the Old French estandart (“gathering place, battle flag”), from Old Frankish *standhard (literally “stand firm, stand hard”), equivalent to stand +? -ard. Alternative etymology derives the second element from Old Frankish *ord (“point, spot, place”) (compare Old English ord (“point, source, vanguard”), German Standort (“location, place, site, position, base”, literally “standing-point”)). More at stand, hard, ord.

Pronunciation

• (Received Pronunciation) IPA^(key): /?stænd?d/
• (General American) IPA^(key): /?stænd??d/, [?ste?nd?d]
• Hyphenation: stan?dard

Adjective

standard (comparative more standard, superlative most standard)

1. Falling within an accepted range of size, amount, power, quality, etc.
2. (of a tree or shrub) Growing alone as a free-standing plant; not trained on a post etc.
   • 1863, Anthony Trollope, Rachel Ray:

     There are women who cannot grow alone as standard trees;—for whom the support and warmth of some wall, some paling, some post, is absolutely necessary […].

3. Having recognized excellence or authority.

   standard works in history; standard authors

4. Of a usable or serviceable grade or quality.
5. (not comparable, of a motor vehicle) Having a manual transmission.
6. As normally supplied (not optional).
7. (linguistics) Conforming to the standard variety.

Antonyms

• nonstandard, non-standard

Derived terms

Related terms

Translations

Noun

standard (plural standards)

1. A principle or example or measure used for comparison.
   1. A level of quality or attainment.
   2. Something used as a measure for comparative evaluations; a model.
      • 1712, Jonathan Swift, A Proposal For Correcting, Improving, and Ascertaining the English Tongue

        the court, which used to be the standard of propriety and correctness of speech

      • 1790, Edmund Burke, Reflections on the Revolution in France

        A disposition to preserve, and an ability to improve, taken together, would be my standard of a statesman.

   3. A musical work of established popularity.
   4. A rule or set of rules or requirements which are widely agreed upon or imposed by government.
   5. The proportion of weights of fine metal and alloy established for coinage.
      • 1727, John Arbuthnot, Tables of Ancient Coins, Weights and Measures. Explain'd and exemplify'd in several dissertations

        By the present standard of the coinage, sixty-two shillings is coined out of one pound weight of silver.

   6. A bottle of wine containing 0.750 liters of fluid.
   7. (India) Grade level in primary education.

2. A vertical pole with something at its apex.
   1. An object supported in an upright position, such as a lamp standard.
   2. The flag or ensign carried by a military unit.

      • His armies, in the following day, / On those fair plains their standards proud display.

   3. One of the upright members that supports the horizontal axis of a transit or theodolite.
   4. Any upright support, such as one of the poles of a scaffold.
   5. A tree of natural size supported by its own stem, and not dwarfed by grafting on the stock of a smaller species nor trained upon a wall or trellis.
   6. The sheth of a plough.
3. A manual transmission vehicle.
4. (botany) The upper petal or banner of a papilionaceous corolla.
5. (shipbuilding) An inverted knee timber placed upon the deck instead of beneath it, with its vertical branch turned upward from that which lies horizontally.
6. A large drinking cup.
7. (sociolinguistics) standard idiom, a prestigious or standardized language variety; standard language

Hyponyms

Derived terms

Descendants

Translations

Interjection

standard

1. (slang) An expression of agreement

References

Anagrams

• Randstad, sand dart

Czech

Pronunciation

• IPA^(key): [?standart]

Noun

standard m

1. standard

Related terms

See also

• norma
• m??ítko

Further reading

• standard in P?íru?ní slovník jazyka ?eského, 1935–1957
• standard in Slovník spisovného jazyka ?eského, 1960–1971, 1989

Danish

Etymology

From English standard.

Pronunciation

• IPA^(key): /?stan?dar?t/, [?sd?an?d????d?]
• Homophone: standart

Noun

standard c (singular definite standarden, plural indefinite standarder)

1. standard

Inflection

French

Etymology

Borrowed from English standard.

Pronunciation

• IPA^(key): /st??.da?/

Noun

standard m (plural standards)

1. standard
2. switchboard

Adjective

standard (feminine singular standarde, masculine plural standards, feminine plural standardes)

1. standard

Usage notes

• Often treated as invariable (with the single form standard used for masculine and feminine, singular and plural), but dictionary accounts vary.

Synonyms

• normal

References

Further reading

• “standard” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Italian

Alternative forms

• standar (misspelling)

Etymology

Borrowed from English.

Adjective

standard (invariable)

1. standard

Noun

standard m (invariable)

1. standard

Related terms

• standardizzare
• standardizzazione

Norwegian Bokmål

Etymology

From Old French estandart, via English standard

Adjective

standard (singular and plural standard, comparative mer standard, superlative mest standard)

1. standard

Noun

standard m (definite singular standarden, indefinite plural standarder, definite plural standardene)

1. a standard

Derived terms

• levestandard

References

• “standard” in The Bokmål Dictionary.
• “standard_1” in Det Norske Akademis ordbok (NAOB).
• “standard_2” in Det Norske Akademis ordbok (NAOB).

Norwegian Nynorsk

Etymology

From Old French estandart, via English standard

Adjective

standard (singular and plural standard, comparative meir standard, superlative mest standard)

1. standard

Noun

standard m (definite singular standarden, indefinite plural standardar, definite plural standardane)

1. a standard

Derived terms

• levestandard

References

• “standard” in The Nynorsk Dictionary.

Polish

Etymology

From English standard, from Middle English, from Old French estandart (“gathering place, battle flag”), from Old Frankish *standhard (literally “stand firm, stand hard”).

Pronunciation

• IPA^(key): /?stan.dart/

Noun

standard m inan

1. standard

Declension

Derived terms

• (noun) standaryzacja
• (adjective) standardowy

Further reading

• standard in Wielki s?ownik j?zyka polskiego, Instytut J?zyka Polskiego PAN
• standard in Polish dictionaries at PWN

Romanian

Etymology

From French standard.

Noun

standard n (plural standarde)

1. standard

Declension

Serbo-Croatian

Pronunciation

• IPA^(key): /st?ndard/
• Hyphenation: stan?dard

Noun

stàndard m (Cyrillic spelling ?????????)

1. standard

Declension

Swedish

Noun

standard c

1. a standard, a norm

Declension

Related terms

• standardisera

See also

• standar

English

Etymology

From French idéal, from Late Latin ide?lis (“existing in idea”), from Latin idea (“idea”); see idea.
In mathematics, the noun ring theory sense was first introduced by German mathematician Richard Dedekind in his 1871 edition of a text on number theory. The concept was quickly expanded to ring theory and later generalised to order theory. The set theory and Lie theory senses can be regarded as applications of the order theory sense.

Pronunciation

• Rhymes: -i??l
• IPA^(key): /a??d??l/, /a??di?.?l/

Adjective

ideal (comparative more ideal, superlative most ideal)

1. Optimal; being the best possibility.
2. Perfect, flawless, having no defects.
   • 1751 April 13, Samuel Johnson, The Rambler, Number 112, reprinted in 1825, The Works of Samuel Johnson, LL. D., Volume 1, Jones & Company, page 194,

     There will always be a wide interval between practical and ideal excellence; […] .

3. Pertaining to ideas, or to a given idea.
4. 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.

5. Teaching or relating to the doctrine of idealism.

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

Synonyms

• See also Thesaurus:flawless

Related terms

Derived terms

Translations

Noun

ideal (plural ideals)

2. 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

3. (algebra, ring theory) A subring closed under multiplication by its containing ring.

   Let ${\displaystyle \mathbb {Z} }$ be the ring of integers and let ${\displaystyle 2\mathbb {Z} }$ be its ideal of even integers. Then the quotient ring ${\displaystyle \mathbb {Z} /2\mathbb {Z} }$ is a Boolean ring.

   The product of two ideals ${\displaystyle {\mathfrak {a}}}$ and ${\displaystyle {\mathfrak {b}}}$ is an ideal ${\displaystyle {\mathfrak {ab}}}$ which is a subset of the intersection of ${\displaystyle {\mathfrak {a}}}$ and ${\displaystyle {\mathfrak {b}}}$. This should help to understand why maximal ideals are prime ideals. Likewise, the union of ${\displaystyle {\mathfrak {a}}}$ and ${\displaystyle {\mathfrak {b}}}$ is a subset of ${\displaystyle {\mathfrak {a+b}}}$.

   • 2004, K. R. Goodearl, R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, 2nd Edition, Cambridge University Press, page 47,

     In trying to understand the ideal theory of a commutative ring, one quickly sees that it is important to first understand the prime ideals.

   • 2009, John J. Watkins, Topics in Commutative Ring Theory, Princeton University Press, page 45,

     If an ideal I of a ring contains the multiplicative identity 1, then we have seen that I must be the entire ring.

   • 2010, W. D. Burgess, A. Lashgari, A. Mojiri, Elements of Minimal Prime Ideals in General Rings, Sergio R. López-Permouth, Dinh Van Huynh (editors), Advances in Ring Theory, Springer (Birkhäuser), page 69,

     However, every R has a minimal prime ideal consisting of left zero-divisors and one of right zero-divisors.

4. (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).
   • 1992, Unnamed translator, T. S. Fofanova, General Theory of Lattices, in Ordered Sets and Lattices II, American Mathematical Society, page 119,

     An ideal A of L is called complete if it contains all least upper bounds of its subsets that exist in L. Bishop and Schreiner [80] studied conditions under which joins of ideals in the lattices of all ideals and of all complete ideals coincide.

   • 2011, George Grätzer, Lattice Theory: Foundation, Springer (Birkhäuser), page 125,

     1.35 Find a distributive lattice L with no minimal and no maximal prime ideals.

   • 2015, Vijay K. Garg, Introduction to Lattice Theory with Computer Science Applications, Wiley, page 186,

     Definition 15.11 (Width Ideal) An ideal Q of a poset P = (X,?) is a width ideal if maximal(Q) is a width antichain.

5. (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.

   Formally, an ideal ${\displaystyle I}$ of a given set ${\displaystyle X}$ is a nonempty subset of the powerset ${\displaystyle {\mathcal {P}}(X)}$ such that: ${\displaystyle (1)\ \emptyset \in I}$, ${\displaystyle (2)\ A\in I\land B\subseteq A\implies B\in I}$ and ${\displaystyle (3)\ A,B\in I\implies A\cup B\in I}$.

6. (algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) ???? of a given Lie algebra ???? such that the Lie bracket [????,????] is a subset of ????.
   • 1975, Che-Young Lee (translator), Zhe-Xian Wan, Lie Algebras, Pergamon Press, page 13,

     If ???? is a Lie algebra, ???? is an ideal and the Lie algebras ???? and ????/???? are solvable, then ???? is solvable.

   • 2006, W. McGovern, The work of Anthony Joseph in classical representation theory, Anthony Joseph, Joseph Bernstein, Vladimir Hinich, Anna Melnikov (editors), Studies in Lie Theory: Dedicated to A. Joseph on His Sixtieth Birthday, Springer (Birkhäuser), page 3,

     What really put primitive ideals in enveloping algebras of semisimple Lie algebras on the map was Duflo's fundamental theorem that any such ideal is the annihilator of a very special kind of simple module, namely a highest weight module.

   • 2013, J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, page 73,

     Next let ${\displaystyle L}$ be an arbitrary semisimple Lie algebra. Then ${\displaystyle L}$ can be written uniquely as a direct sum ${\displaystyle L_{1}\oplus \dots \oplus L_{t}}$ of simple ideals (Theorem 5.2).

Synonyms

• (type of Lie subalgebra): Lie ideal

Antonyms

• (order theory): filter

Hyponyms

• (mathematics): maximal ideal, principal ideal

Derived terms

Translations

References

Further reading

• Ideal (ring theory) on Wikipedia.Wikipedia
• Ideal (order theory) on Wikipedia.Wikipedia
• Ideal (set theory) on Wikipedia.Wikipedia
• Ideal point on Wikipedia.Wikipedia
• Ideal triangle on Wikipedia.Wikipedia
• Lie algebra#Subalgebras, ideals and homomorphisms on Wikipedia.Wikipedia

Anagrams

• Delia, Elida, ailed, ladie

Asturian

Etymology

From Latin ide?lis.

Pronunciation

Adjective

ideal (epicene, plural ideales)

1. ideal

Noun

ideal m (plural ideales)

1. ideal

Catalan

Etymology

From Latin ide?lis.

Pronunciation

• (Balearic, Central, Valencian) IPA^(key): /i.de?al/

Adjective

ideal (masculine and feminine plural ideals)

1. ideal

Derived terms

• idealment

Noun

ideal m (plural ideals)

1. ideal

Galician

Etymology

From Latin ide?lis.

Pronunciation

Adjective

ideal m or f (plural ideais)

1. ideal

Derived terms

• idealmente

Noun

ideal m (plural ideais)

1. ideal

German

Etymology

Borrowed from Late Latin ide?lis (“existing in idea”), from Latin idea (“idea”). Doublet of ideell.

Pronunciation

• IPA^(key): /ide?a?l/
• Rhymes: -a?l

Adjective

ideal (comparative idealer, superlative am idealsten)

1. ideal (optimal, perfect)

Declension

Derived terms

• idealerweise

Further reading

• “ideal” in Duden online
• “ideal” in Digitales Wörterbuch der deutschen Sprache

Indonesian

Etymology

From Dutch ideaal, from French idéal, from Medieval Latin ide?lis.

Pronunciation

• IPA^(key): [??d?eal]
• Hyphenation: idé?al

Adjective

ideal

1. ideal:
   1. optimal; being the best possibility.
   2. pertaining to ideas, or to a given idea.

Noun

ideal (plural ideal-ideal, first-person possessive idealku, second-person possessive idealmu, third-person possessive idealnya)

1. (mathematics) ideal: a subring closed under multiplication by its containing ring.

Alternative forms

• idiil

Affixed terms

Related terms

Further reading

• “ideal” in Kamus Besar Bahasa Indonesia (KBBI) Daring, Jakarta: Badan Pengembangan dan Pembinaan Bahasa, Kementerian Pendidikan dan Kebudayaan Republik Indonesia, 2016.

Luxembourgish

Pronunciation

• IPA^(key): /ide?a?l/, [id??a?l], /idi?a?l/

Adjective

ideal (masculine idealen, neuter ideaalt, comparative méi ideal, superlative am ideaalsten)

1. ideal

Declension

Norwegian Bokmål

Etymology

From French idéal, from Late Latin ide?lis (“existing in idea”), from Latin idea (“idea”)

Noun

ideal n (definite singular idealet, indefinite plural ideal or idealer, definite plural ideala or idealene)

1. ideal

References

• “ideal” in The Bokmål Dictionary.

Norwegian Nynorsk

Etymology

From French idéal, from Late Latin ide?lis (“existing in idea”), from Latin idea (“idea”)

Noun

ideal n (definite singular idealet, indefinite plural ideal, definite plural ideala)

1. ideal

References

• “ideal” in The Nynorsk Dictionary.

Piedmontese

Pronunciation

• IPA^(key): /ide?al/

Adjective

ideal

1. ideal

Noun

ideal m

1. ideal

Portuguese

Etymology

From Latin ide?lis.

Pronunciation

• (Portugal) IPA^(key): /i?ðja?/
• (Brazil) IPA^(key): /i.de?aw/
• Hyphenation: i?de?al

Adjective

ideal m or f (plural ideais, comparable)

1. ideal
2. notional

Derived terms

• idealmente

Noun

ideal m (plural ideais)

1. ideal
2. fantasy

Romanian

Etymology

From French idéal, from Latin idealis.

Adjective

ideal m or n (feminine singular ideal?, masculine plural ideali, feminine and neuter plural ideale)

1. ideal

Declension

Related terms

• idealism
• idealist
• idealiza

Serbo-Croatian

Pronunciation

• IPA^(key): /id?a?l/
• Hyphenation: i?de?al

Noun

idè?l m (Cyrillic spelling ??????)

1. ideal

Declension

Spanish

Etymology

From Latin ide?lis.

Pronunciation

• IPA^(key): /ide?al/, [i.ð?e?al]

Adjective

ideal (plural ideales)

1. ideal

Derived terms

Noun

ideal m (plural ideales)

1. ideal

Swedish

Pronunciation

Noun

ideal n

1. ideal; perfect standard
2. (mathematics) ideal; special subsets of a ring

Declension

Anagrams

• ilade

Turkish

Etymology

Borrowed from French idéal.

Pronunciation

• IPA^(key): /ide?a?/
• Hyphenation: i?de?al

Adjective

ideal (comparative daha ideal, superlative en ideal)

1. ideal

Noun

ideal (definite accusative ideali, plural idealler)

1. ideal

Declension

Synonyms

• ülkü