noun🔗Share理想A perfect standard of beauty, intellect etc., or a standard of excellence to aim at."A good teacher strives for the ideal of creating a supportive learning environment for all students. "良い教師は、すべての生徒にとって協力的な学習環境を作り出すという理想を目指します。"The ideal student in our class is always prepared and actively participates in discussions. "私たちのクラスの理想的な生徒は、常に準備万端で、積極的に議論に参加します。philosophymindqualityvaluebeingessentialChat with AIVocabulary GamePractice Reading
noun🔗ShareイデアルA subring closed under multiplication by its containing ring."The set of even numbers is an ideal in the ring of all integers. "偶数の集合は、すべての整数の環におけるイデアルです。mathessentialChat with AIVocabulary GamePractice Reading
noun🔗Shareイデアル(lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins)."The set of possible exam scores is an ideal in the partially ordered set of all possible grades. "可能な試験のスコアの集合は、すべての可能な成績の部分順序集合におけるイデアルです。theorymathessentialChat with AIVocabulary GamePractice Reading
noun🔗Shareイデアル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."The set of small, insignificant details about a student's daily schedule forms an ideal, as every aspect of their day and any two activities combined are also part of that collection. "学生の毎日のスケジュールに関する小さく、重要性のない詳細の集合はイデアルを形成します。なぜなら、彼らの日のあらゆる側面と2つの活動の組み合わせもそのコレクションの一部だからです。maththeoryessentialChat with AIVocabulary GamePractice Reading
noun🔗Shareイデアル(Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍."The ideal of the student club was to raise funds for a local charity. "学生クラブのイデアルは、地元の慈善団体への資金集めでした。maththeoryessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share理想的な, 最適なOptimal; being the best possibility."A quiet study environment is the ideal place for focusing on my schoolwork. "静かな学習環境は、私の学校の勉強に集中するのに理想的な場所です。qualityphilosophyvalueessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share理想的な, 完璧なPerfect, flawless, having no defects."Her presentation was ideal; it covered all the necessary points without any errors. "彼女のプレゼンテーションは理想的で、必要なすべてのポイントをエラーなく網羅していました。qualitycharacterphilosophyessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share理想的な, 観念的なPertaining to ideas, or to a given idea."My ideal weekend involves a relaxing morning at home, followed by a picnic in the park. "私の理想的な週末は、家でのんびりとした午前を過ごし、その後公園でピクニックをすることです。philosophymindtheoryessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share観念的な, 想像上のExisting only in the mind; conceptual, imaginary."My ideal vacation home is a cozy cabin nestled in the mountains. "私の理想の別荘は、山の中に佇む居心地の良いキャビンです。mindphilosophytheoryqualityessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share観念論の, 理想的なTeaching or relating to the doctrine of idealism."the ideal theory or philosophy"理想的な理論または哲学philosophydoctrineeducationessentialChat with AIVocabulary GamePractice Reading
adjective🔗Share理想的なNot actually present, but considered as present when limits at infinity are included."An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle."双曲円盤における理想的な三角形は、円上で正確に交わる3つの測地線によって囲まれています。mathessentialChat with AIVocabulary GamePractice Reading
