英和和英

語源

From maximum +‎ -al.

発音

• IPA: /ˈmæksɪməl/

形容詞

maximal

1. Largest, greatest (in magnitude), highest, most.

   Synonyms: extreme, maximum, ultimate; see also Thesaurus:extreme

   Antonym: minimal

   • 2016 March 2, “Dietary Iodine Sufficiency and Moderate Insufficiency in the Lactating Mother and Nursing Infant: A Computational Perspective”, in PLOS ONE‎, →DOI:

     The organification of iodide in the thyroid gland was described using a second order rate constant (KthybindC, /nmol/L*hr/kg thyroid weight) fitted to provide thyroidal iodide stores near the maximal value, which increased with age.

2. (mathematics, of a sequence) Larger than any previous term in the sequence.

   Antonym: minimal

   In the sequence (1, 2, 10, 5, 12, 6), the fifth term, f(5) = 12, is a maximal term, as each of the first 4 terms are smaller than 12.

3. (mathematics, of an element of a poset) Such that no other element is greater (with respect to the given partial order).

   Antonym: minimal

   With respect to the ordering induced by set-theoretic inclusion, the set ${\displaystyle \{\{2\},\{1,2\},\{2,3\}\}}$ has two maximal elements: ${\displaystyle \{1,2\}}$ and ${\displaystyle \{2,3\}}$

派生語

関連する語

• maximative

名詞

maximal (plural maximals)

1. (mathematics) The element of a set with the greatest magnitude.
2. (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).
3. (logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.

同意語

• maximum

参照

• maximal on Wikipedia.Wikipedia