Effective Results In Number Theory
For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable. Where it is asserted that some list of integers is finite, the question is whether in principle the list could be printed out after a machine computation.
Read more about Effective Results In Number Theory: Littlewood's Result, The 'Siegel Period', Later Work, Theoretical Issues
Famous quotes containing the words effective, results, number and/or theory:
“Fine art is the subtlest, the most seductive, the most effective instrument of moral propaganda in the world, excepting only the example of personal conduct; and I waive even this exception in favor of the art of the stage, because it works by exhibiting examples of personal conduct made intelligible and moving to crowds of unobservant unreflecting people to whom real life means nothing.”
—George Bernard Shaw (1856–1950)
“It amazes me when I hear any person prefer blindness to deafness. Such a person must have a terrible dread of being alone. Blindness makes one totally dependent on others, and deprives us of every satisfaction that results from light.”
—Horace Walpole (1717–1797)
“After a certain number of years our faces become our biographies. We get to be responsible for our faces.”
—Cynthia Ozick (b. 1928)
“A theory if you hold it hard enough
And long enough gets rated as a creed....”
—Robert Frost (1874–1963)