What Americans did was more important than invent new principles; in the telling phrase of John Adams, "they realized the theories of the wisest writers".
An algorithm has been proposed to realize the developed theory.
The other source is experienced players of online games who have detected patterns from their play and then realized the game theory implications of it.
David Awschalom, professor in spintronics and quantum information at University of Chicago's Institute for Molecular Engineering, realized the new theory could be used to speed up the diamond-based quantum devices in his labs, following discussions with members of his own group and Clerk's group.
New scientific knowledge has led us to realize that the theory of evolution is no longer a mere hypothesis.
Insofar as both phenomena represent reactions against aristocratic rule, it is reasonable loosely to associate the two, but it is important to realize that the theory, however seductive, is in its strict form a modern construction.
One-parameter semigroup theory started to be an important branch of mathematics in the thirties when it was realized that the theory has direct applications to partial differential equations, random processes, infinite dimensional control theory, mathematical physics, etc.
Pope John Paul II, in an address to the Pontifical Academy of Sciences on October 22 , 1996 deplored interpreting the Bible's texts as scientific statements rather than religious teachings, adding: New scientific knowledge has led us to realize that the theory of evolution is no longer a mere hypothesis.
It is now realized that the theory of impulsive differential equations provides a general framework for mathematical modelling of many real world phenomena.
Nowadays, with the rapid development of science and technology, many people have realized that the theory of impulsive differential equations is not only richer than the corresponding theory of differential equations but it also represents a more natural framework for mathematical modeling of real world phenomena.
What many biology instructors may not realize is the theory of evolution is also conceptually difficult for students to understand.
