31. Van Zwet derived an inequality which provides sufficient conditions for this inequality to hold. 32. This theory allowed him to formulate a sufficient condition for the constructibility of regular polygons: 33. Trade liberalization is obviously not a sufficient condition for democracy, since there are free-trading autocracies. 34. This is the necessary and sufficient condition for diagonalizability and the canonical approach of diagonalization. 35. In the necessary and sufficient conditions that are required for therapeutic change to take place. 36. For a necessary and sufficient condition , see cyclic number. 37. A necessary and sufficient condition is that h [ n ], the impulse response, satisfies 38. Lakoff is not trying to establish necessary and sufficient conditions for being liberal or conservative. 39. A Poisson distribution is a necessary and sufficient condition that all detections are statistically independent. 40. A sufficient condition for similarity of polygons is that corresponding sides and diagonals are proportional.
