Diophantine Set - Application To Hilbert's Tenth Problem

Application To Hilbert's Tenth Problem

Hilbert's tenth problem asks for a general algorithm deciding the solvability of Diophantine equations. The conjunction of Matiyasevich's theorem with earlier results known collectively as the MRDP theorem implies that a solution to Hilbert's tenth problem is impossible.

Read more about this topic:  Diophantine Set

Famous quotes containing the words application to, application, tenth and/or problem:

    “If you would be a favourite of your king, address yourself to his weaknesses. An application to his reason will seldom prove very successful.”
    —Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    “By an application of the theory of relativity to the taste of readers, to-day in Germany I am called a German man of science, and in England I am represented as a Swiss Jew. If I come to be regarded as a bĂȘte noire the descriptions will be reversed, and I shall become a Swiss Jew for the Germans and a German man of science for the English!”
    —Albert Einstein (1879–1955)

    “Coming out, all the way out, is offered more and more as the political solution to our oppression. The argument goes that, if people could see just how many of us there are, some in very important places, the negative stereotype would vanish overnight. ...It is far more realistic to suppose that, if the tenth of the population that is gay became visible tomorrow, the panic of the majority of people would inspire repressive legislation of a sort that would shock even the pessimists among us.”
    —Jane Rule (b. 1931)

    “... your problem is your role models were models.”
    —Jane Wagner (b. 1935)