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:
“I think of a hero as someone who understands the degree of responsibility that comes with his freedom.”
—Bob Dylan [Robert Allen Zimmerman] (b. 1941)
“I began to realize that it was bigotry of the worst kind to say that it’s better to be dead than to be born retarded or blind or without a limb. It’s a value judgment you’re making about someone’s life, based on their degree of perfection.”
—Juli Loesch (b. c. 1953)
“In the beginning, I wanted to enter what was essentially a man’s field. I wanted to prove I could do it. Then I found that when I did as well as the men in the field I got more credit for my work because I am a woman, which seems unfair.”
—Eugenie Clark (b. 1922)
“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)