11. Sublevel sets are important in convexity of all the sublevel sets characterizes quasiconvex functions. 12. Note that convexity can be positive or negative. 13. The positivity of convexity can also be proven analytically for basic interest rate securities. 14. Here, the total convexity of the assets exceed the convexity of the liabilities. 15. Here, the total convexity of the assets exceed the convexity of the liabilities. 16. Relaxing the conditions for convexity generates a further 10 nonconvex regular 4-polytopes. 17. Extensions of convex functions include generalized convexity ( " abstract convex analysis " ). 18. Convexities reduce their rate of firing further still.19. The Millennium Green contains a sculpture called Convexity created by local artist Matthew Sanderson. 20. At least one of the is strictly positive, say; therefore by convexity inequality:
