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, degree, field and/or extension:
“A certain degree of fear produces the same effects as rashness.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“I’ve always credited the private detective with a high degree of omniscience. Or is that only true in rental fiction?”
—John Paxton (1911–1985)
“Something told the wild geese
It was time to go.
Though the fields lay golden
Something whispered—”Snow.””
—Rachel Lyman Field (1894–1942)
“Slavery is founded on the selfishness of man’s nature—opposition to it on his love of justice. These principles are in eternal antagonism; and when brought into collision so fiercely as slavery extension brings them, shocks and throes and convulsions must ceaselessly follow.”
—Abraham Lincoln (1809–1865)