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 began to realize that it was bigotry of the worst kind to say that its better to be dead than to be born retarded or blind or without a limb. Its a value judgment youre making about someones life, based on their degree of perfection.”
—Juli Loesch (b. c. 1953)
“I began to realize that it was bigotry of the worst kind to say that its better to be dead than to be born retarded or blind or without a limb. Its a value judgment youre making about someones life, based on their degree of perfection.”
—Juli Loesch (b. c. 1953)
“A field of water betrays the spirit that is in the air. It is continually receiving new life and motion from above. It is intermediate in its nature between land and sky.”
—Henry David Thoreau (18171862)
“The medium is the message. This is merely to say that the personal and social consequences of any mediumthat is, of any extension of ourselvesresult from the new scale that is introduced into our affairs by each extension of ourselves, or by any new technology.”
—Marshall McLuhan (19111980)