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)
“Silence is to all creatures thus attacked the only means of salvation; it fatigues the Cossack charges of the envious, the enemy’s savage ruses; it results in a cruising and complete victory.”
—Honoré De Balzac (1799–1850)
“Can it be, that the Greek grammarians invented their dual number for the particular benefit of twins?”
—Herman Melville (1819–1891)
“Every theory is a self-fulfilling prophecy that orders experience into the framework it provides.”
—Ruth Hubbard (b. 1924)