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:
“But in every constitution some large degree of animal vigor is necessary as material foundation for the higher qualities of the art.”
—Ralph Waldo Emerson (18031882)
“The degree of tolerance attainable at any moment depends on the strain under which society is maintaining its cohesion.”
—George Bernard Shaw (18561950)
“If we are made in some degree for others, yet in a greater are we made for ourselves.”
—Thomas Jefferson (17431826)
“It is through attentive love, the ability to ask What are you going through? and the ability to hear the answer that the reality of the child is both created and respected.”
—Mary Field Belenky (20th century)
“We are now a nation of people in daily contact with strangers. Thanks to mass transportation, school administrators and teachers often live many miles from the neighborhood schoolhouse. They are no longer in daily informal contact with parents, ministers, and other institution leaders . . . [and are] no longer a natural extension of parental authority.”
—James P. Comer (20th century)