31. This would allow variation in initial conditions , but not in the truly fundamental constants. 32. For a particular solution, boundary conditions along with initial conditions need to be specified. 33. These nonlinear equations must be solved numerically with the appropriate boundary and initial conditions . 34. Each computation starts with initial conditions originating from recent measurements. 35. In reality most materials behave quite independently of initial conditions . 36. Given certain initial conditions a system may be in steady state from the beginning. 37. The double pendulum undergoes chaotic motion, and shows a sensitive dependence on initial conditions . 38. The following initial conditions ( SI units ) were used: 39. A wave model requires as initial conditions information describing the state of the sea. 40. Quantum and semiclassical treatments of system sensitivity to initial conditions are known as quantum chaos.