Degree of A Field Extension
Given a field extension K/F, the field K can be considered as a vector space over the field F. The dimension of this vector space is the degree of the extension and is denoted by .
Read more about this topic: Degree (mathematics)
Famous quotes containing the words degree of a, degree of, degree, field and/or extension:
“In all pointed sentences, some degree of accuracy must be sacrificed to conciseness.”
—Samuel Johnson (17091784)
“There can be a true grandeur in any degree of submissiveness, because it springs from loyalty to the laws and to an oath, and not from baseness of soul.”
—Simone Weil (19091943)
“Wonderful Force of Public Opinion! We must act and walk in all points as it prescribes; follow the traffic it bids us, realise the sum of money, the degree of influence it expects of us, or we shall be lightly esteemed; certain mouthfuls of articulate wind will be blown at us, and this what mortal courage can front?”
—Thomas Carlyle (17951881)
“Frankly, Id like to see the government get out of war altogether and leave the whole field to private industry.”
—Joseph Heller (b. 1923)
“Tis the perception of the beautiful,
A fine extension of the faculties,
Platonic, universal, wonderful,
Drawn from the stars, and filtered through the skies,
Without which life would be extremely dull.”
—George Gordon Noel Byron (17881824)