Closed and Exact Differential Forms/poincar%C3%A9 Lemma

Famous quotes containing the words closed and, closed, exact, differential and/or forms:

    “Because you live, O Christ,
    the spirit bird of hope is freed for flying,
    our cages of despair no longer keep us closed and life-denying.
    The stone has rolled away and death cannot imprison!
    O sing this Easter Day, for Jesus Christ has risen!”
    —Shirley Erena Murray (20th century)

    “The return of the asymmetrical Saturday was one of those small events that were interior, local, almost civic and which, in tranquil lives and closed societies, create a sort of national bond and become the favorite theme of conversation, of jokes and of stories exaggerated with pleasure: it would have been a ready- made seed for a legendary cycle, had any of us leanings toward the epic.”
    —Marcel Proust (1871–1922)

    “Men are qualified for civil liberty in exact proportion to their disposition to put moral chains upon their own appetites; in proportion as their love to justice is above their rapacity; in proportion as their soundness and sobriety of understanding is above their vanity and presumption; in proportion as they are more disposed to listen to the counsels of the wise and good, in preference to the flattery of knaves.”
    —Edmund Burke (1729–1797)

    “But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
    —Antonin Artaud (1896–1948)

    “‘Tis education forms the common mind,
    Just as the twig is bent, the tree’s inclined.”
    —Alexander Pope (1688–1744)