Refinement of The Notion of Choice Function
A function is said to be a selection of a multivalued map φ:A → B ( that is, a function from A to the power set ), if
The existence of more regular choice functions, namely continuous or measurable selections (see: ) is important in the theory of differential inclusions, optimal control, and mathematical economics.
Read more about this topic: Choice Function
Famous quotes containing the words refinement of, refinement, notion, choice and/or function:
“You know that your toddler needed love and approval but he often seemed not to care whether he got it or not and never seemed to know how to earn it. Your pre-school child is positively asking you to tell him what does and does not earn approval, so he is ready to learn any social refinement of being human which you will teach him....He knows now that he wants your love and he has learned how to ask for it.”
—Penelope Leach (20th century)
“You know that your toddler needed love and approval but he often seemed not to care whether he got it or not and never seemed to know how to earn it. Your pre-school child is positively asking you to tell him what does and does not earn approval, so he is ready to learn any social refinement of being human which you will teach him....He knows now that he wants your love and he has learned how to ask for it.”
—Penelope Leach (20th century)
“Modern thought has transferred the spectral character of Death to the notion of time itself. Time has become Death triumphant over all.”
—John Berger (b. 1926)
“If we pretend to respect the artist at all, we must allow him his freedom of choice, in the face, in particular cases, of innumerable presumptions that the choice will not fructify. Art derives a considerable part of its beneficial exercise from flying in the face of presumptions.”
—Henry James (1843–1916)
“No one, however powerful and successful, can function as an adult if his parents are not satisfied with him.”
—Frank Pittman (20th century)