41. An equilibrium point with an exponential dichotomy has many of the properties of a hyperbolic equilibrium point in autonomous systems. 42. For an evolving state vector \ vec x ( t ) and with equilibrium point \ vec x ^ *. 43. As indifference curve is downward sloping, the equilibrium point would always be on the right of the maximum profit point. 44. The exact thickness of the liquid layer at a given temperature is the equilibrium point between the competing Landau potentials. 45. "You can't expect it to stabilize and I don't think there is an equilibrium point for the dollar, " said Soros. 46. Now that atmospheric levels of many of these pollutants have dropped below the equilibrium point , the lakes are starting to exhale. 47. This provides a formalism that generalizes the equilibrium point solution to the degrees of freedom problem to movement trajectories. 48. If the equilibrium points at the start and end of the orbit are the same, the orbit is a homoclinic orbit. 49. The price keeps on falling until P, where the demand and the supply curves intersect : their intersection is the equilibrium point . 50. The coexisting equilibrium point for these systems has a very simple form given by the inverse of the sum of the row