Consequences
If the Birch and Swinnerton-Dyer conjecture were proved, Tunnell's theorem would give a full resolution to the congruent number problem (Tunnell 1983).
Read more about this topic: Birch And Swinnerton-Dyer Conjecture
Famous quotes containing the word consequences:
“Without being forgiven, released from the consequences of what we have done, our capacity to act would ... be confined to one single deed from which we could never recover; we would remain the victims of its consequences forever, not unlike the sorcerer’s apprentice who lacked the magic formula to break the spell.”
—Hannah Arendt (1906–1975)
“Cultivate the habit of thinking ahead, and of anticipating the necessary and immediate consequences of all your actions.... Likewise in your pleasures, ask yourself what such and such an amusement leads to, as it is essential to have an objective in everything you do. Any pastime that contributes nothing to bodily strength or to mental alertness is a totally ridiculous, not to say, idiotic, pleasure.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“The consequences of our actions grab us by the scruff of our necks, quite indifferent to our claim that we have “gotten better” in the meantime.”
—Friedrich Nietzsche (1844–1900)