Coarse Geometry
In coarse geometry, the integer lattice is coarsely equivalent to Euclidean space.
Read more about this topic: Integer Lattice
Famous quotes containing the words coarse and/or geometry:
“There is no country in which so absolute a homage is paid to wealth. In America there is a touch of shame when a man exhibits the evidences of large property, as if after all it needed apology. But the Englishman has pure pride in his wealth, and esteems it a final certificate. A coarse logic rules throughout all English souls: if you have merit, can you not show it by your good clothes and coach and horses?”
—Ralph Waldo Emerson (1803–1882)
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)