31. Thus, the total energy increases transiently ( before tending asymptotically to zero ). 32. This is the weak convergence of laws without laws being defined except asymptotically . 33. As the message grows, however, the compression ratio tends asymptotically to the maximum. 34. Sometimes vague or implicit assumptions can make it unclear whether an algorithm is asymptotically optimal. 35. However, the construction only works asymptotically , up to a certain order of approximation. 36. Then the implied normal volatility can be asymptotically computed by means of the following expression: 37. This number of memory transfers has been shown to be asymptotically optimal for comparison sorts. 38. Two functions on the natural numbers are asymptotically equivalent if their quotient tends to 1. 39. In the context of an asymptotically flat spacetime, the boundary conditions are given at infinity. 40. The average age asymptotically converges on five years as the " solera " continues.