| 词汇 | residue-field |
| 释义 | BETA residue fieldcollocation in Englishmeanings of residueand fieldThese words are often used together. Click on the links below to explore the meanings. residue noun[ Cusually singular ] uk /ˈrez.ɪ.dʒuː/ us /ˈrez.ə.duː/ formal the part that is left after the main part has gone or been taken away, or a substance that remains after a chemical process such ... See more at residue field noun uk /fiːld/ us /fiːld/ an area of land, used for growing crops or keeping animals, usually surrounded by ... See more at field Examples of residue fieldresidue field The image of a place is a field called the residuefield of "p". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this article, a local field is non-archimedean and has finite residuefield. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Equivalently, the product is over all points whose residuefield is finite. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. However, some authors consider a more general notion, requiring only that the residuefield be perfect, not necessarily finite. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There is an equivalent definition of non-archimedean local field: it is a field that is complete with respect to a discrete valuation and whose residuefield is finite. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From the geometric point of view, "n" -dimensional local fields with last finite residuefield are naturally associated to a complete flag of subschemes of an "n" -dimensional arithmetic scheme. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since morphisms of fields are injective, the surjection of the residue fields induced by "g" is an isomorphism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Finally, the morphism on residue fields may be assumed to be an isomorphism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In contrast to one-dimensional local fields, higher local fields have a sequence of residue fields. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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