idealとは 意味・読み方・使い方
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idealの学習レベル | レベル:3英検:準2級以上の単語学校レベル:高校2年以上の水準TOEIC® L&Rスコア:470点以上の単語大学入試:センター試験対策レベル |
研究社 新英和中辞典での「ideal」の意味 |
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「ideal」を含む例文一覧
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The ideal environment例文帳に追加
最適な環境 - Weblio Email例文集
to realize (a high ideal)発音を聞く 例文帳に追加
(高い理想に)気づくこと - Weblio Email例文集
the difference between reality and ideal発音を聞く 例文帳に追加
現実と理想の差 - Weblio Email例文集
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ハイパー英語辞書での「ideal」の意味 |
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Wiktionary英語版での「ideal」の意味 |
ideal
語源
From French idéal, from Late Latin ideālis (“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.
形容詞
ideal (comparative more ideal, superlative most ideal)
- 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.
- 1818, [Mary Shelley], “Chapter 4”, in Frankenstein; or, The Modern Prometheus. […], volumes (please specify |volume=I to III), London: […] [Macdonald and Son] for Lackington, Hughes, Harding, Mavor, & Jones, →OCLC:
- Life and death appeared to me ideal bounds, which I should first break through, and pour a torrent of light into our dark world.
- 1836 March – 1837 October, Charles Dickens, “(please specify the chapter name)”, in The Posthumous Papers of the Pickwick Club, London: Chapman and Hall, […], published 1837, →OCLC:
- At first, he began to doubt the reality of his adventures, but the acute pain in his shoulders when he attempted to rise, assured him that the kicking of the goblins was certainly not ideal.
- Teaching or relating to the doctrine of idealism.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
- ideal point
同意語
派生語
- ideal gas
- ideal gas law
- ideal number
- ideal point
- ideal-seeking behavior
- ideal triangle
- ideal-typical
- in an ideal world
関連する語
名詞
- 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
- 1945 April 16, Harry S. Truman, MP72-20 President Roosevelt’s Funeral and Procession; Truman – New President of U.S.[2], Harry S. Truman Presidential Library and Museum, National Archives Identifier: 595162, 9:21 from the start:
- With great humility, I call upon all Americans to help me keep our nation united in defense of those ideals which have been so eloquently proclaimed by Franklin Roosevelt. I want in turn to assure my fellow Americans and all of those who love peace and liberty throughout the world that I will support and defend those ideals with all my strength and all my heart.
- (algebra, ring theory) 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.
- The product of two ideals and is an ideal which is a subset of the intersection of and . This should help to understand why maximal ideals are prime ideals. Likewise, the union of and is a subset of .
- 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.
- 2010, W. D. Burgess; A. Lashgari; A. Mojiri, “Elements of Minimal Prime Ideals in General Rings”, in 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.
- (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).[1]
- 1992, Unnamed translator, T. S. Fofanova, General Theory of Lattices, in Ordered Sets and Lattices II, American Mathematical Society, page 119,
- 2015, Vijay K. Garg, Introduction to Lattice Theory with Computer Science Applications, Wiley, page 186:
- (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) of a given Lie algebra such that the Lie bracket [,] is a subset of .
- 2006, W. McGovern, “The work of Anthony Joseph in classical representation theory”, in 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:
- (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.[2]
- The set of natural numbers with multiplication as the monoid operation (instead of addition) has multiplicative ideals, such as, for example, the set {1, 3, 9, 27, 81, ...}. If any member of it is multiplied by a number which is not a power of 3 then the result will not be a power of three.
下位語
派生語
参照
- ^ Boolean prime ideal theorem#Prime ideal theorems on Wikipedia.
- ^ Vaughan Pratt (2004) Chapter 1 : Lattice Theory[1], boole.stanford.edu, §1.3.5
Further reading
- Ideal (ring theory) on Wikipedia.
- Ideal (order theory) on Wikipedia.
- Ideal (set theory) on Wikipedia.
- Ideal point on Wikipedia.
- Ideal triangle on Wikipedia.
- Lie algebra#Subalgebras, ideals and homomorphisms on Wikipedia.
Weblio例文辞書での「ideal」に類似した例文 |
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ideal
being ideal
the realization of an ideal
realization of one's ideal
理想家だ
「ideal」を含む例文一覧
該当件数 : 2444件
an ideal family model developed by Confucius, called Confucianist family発音を聞く 例文帳に追加
儒者の家 - EDR日英対訳辞書
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