| 词汇 | example_english_null-set |
| 释义 | null setcollocation in Englishmeanings of nulland setThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with set. null adjective uk /nʌl/ us /nʌl/ having no ... See more at null set noun uk /set/ us /set/ a group of similar things that belong together in ... See more at set Examples of null setThese 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. The nullset represents in virtue of its property of lacking members or of being zero-membered. We further define 0, which is the nullset. Two functions f and g are equal almost everywhere (a. e.) if they differ on a nullset. Consider the way it is with the membership of the nullset. If sets can bear properties, and these do not reduce to properties of their members, this should reduce one's resistance to the following claim: the nullset isn't sheer nothingness. More generally, whenever an ideal is taken as understood, then a nullset is any element of that ideal. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Any measurable subset of a nullset is itself a nullset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is assumed that the set is not a nullset, and is endowed with the conditional measure. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In set theory, the nullset is the set with zero elements; and in measure theory, a nullset is a set with zero measure. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In the nullset, this is always false. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The set of non-normal numbers, though small in the sense of being a nullset, is large in the sense of being uncountable. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The unit set has the nullset as its only member. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A negligible set need not be measurable, but every measurable negligible set is automatically a nullset. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A subset of a nullset is called a "negligible set". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In measure theory, any set of measure 0 is called a nullset (or simply a measure-zero set). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Some references require a nullset to be measurable; however, subsets of null sets are still negligible for measure-theoretic purposes. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A standard probability space may contain a nullset of any cardinality, thus, it need not be countably separated. 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. Want to learn more? Go to the definition of null Go to the definition of set See other collocations with set |
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