asymptotically's Usage Examples:

It is true matter can never be completely resolved into motion, but the irreducible remainder may be treated like the 7rpc.)T fl van of Aristotle as an abstraction which we asymptotically approach but never reach.

It will be seen that unless the conditions be exactly adjusted for a circular orbit the particle will either recede to infinity or approach the pole asymptotically.

Those solutions belong (or asymptotically tend) to a certain invariant linear subspace - cluster manifold.

Even more challenging is the problem of asymptotically optimal tracking of parameters which may change slowly through time.

The case of 2BT=ri, exactly, is therefore a critical case; it may be shown that the instantaneous axis either coincides permanently with the axis of mean moment or approaches it asymptotically.

If A, B have the same sign, this is equivalent to au = cosh mO, (23) if the origin of 0 be suitably adjusted; hence r has a maximum value a, and the particle ultimately approaches the pole asymptotically by an infinite number of convolutions.

This may be described as a simple harmonic oscillation whose amplitude diminishes asymptotically to zero according to the law ehlr.

this shows that the velocity ii will send asymptotically to a certain limit V (called the terminal velocity) such that kVf = g.

Finally, it is on the whole in keeping with Mill's presuppositions to admit even in the case of the method of difference that in practice it is approximative and instructive, while the theoretical formula, to which it aims at approaching asymptotically as limit, if exact, is in some sense sterile.

Taking this ideal limit as a theoretical or absolute zero, the value of H may be represented on the diagram by the whole area included between the two adiabatics BAZ, CDZ' down to the points where they intersect the isothermal of absolute zero, or the zero isopiestic OV asymptotically at infinity.