extension field

Noun

Meaning

extension field (plural extension fields)

(algebra, field theory) A field L which contains a subfield K, called the base field, from which it is generated by adjoining extra elements.

Synonyms

Related terms

Examples

Even if a field does not contain a square root of some number, there is always a quadratic extension field which does, so the quadratic formula will always make sense as a formula in that extension field. Source: Internet

To help improve the chances for a successful late-summer seeding of forages, consider the following steps provided by Brian Lang, Iowa State University Extension field agronomist at Decorah. Source: Internet

The TCP header contains 10 mandatory fields, and an optional extension field (Options, pink background in table). Source: Internet

This field of rational functions is an extension field of K. This extension is infinite. Source: Internet

This is an extension field L of K in which the given polynomial splits into a product of linear factors. Source: Internet

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