Could you please scratch my back?

A Belieber is sustained by the hope of someday being followed by, and receiving a direct message from Justin on Twitter.

Already late for work, I shovelled breakfast into my mouth as fast as possible.

One of the most important developments of algebraic number theory is the creation of ideal numbers. All ideal numbers can be classified into ideal number classes. Both the study of ideal numbers and the computation of ideal number classes are important problems of algebraic number theory. The introduction of ideal numbers was meant originally for the number theory, but now ideal numbers have become an important tool in algebra.