Results
Wang (1980) proved the Jacobian conjecture for polynomials of degree 2, and Bass, Connell & Wright (1982) showed that the general case follows from the special case where the polynomials are of degree 3. Moh (1983) checked the conjecture for polynomials of degree at most 100 in 2 variables.
The Jacobian conjecture is equivalent to the Dixmier conjecture.
Read more about this topic: Jacobian Conjecture
Famous quotes containing the word results:
“Social improvement is attained more readily by a concern with the quality of results than with the purity of motives.”
—Eric Hoffer (1902–1983)
“How can you tell if you discipline effectively? Ask yourself if your disciplinary methods generally produce lasting results in a manner you find acceptable. Whether your philosophy is democratic or autocratic, whatever techniques you use—reasoning, a “star” chart, time-outs, or spanking—if it doesn’t work, it’s not effective.”
—Stanley Turecki (20th century)
“For every life and every act
Consequence of good and evil can be shown
And as in time results of many deeds are blended
So good and evil in the end become confounded.”
—T.S. (Thomas Stearns)