Over the past year, their yields have not been appreciably different from their taxable cousins'.
Over all, the proposal totals about $64 billion and will not be appreciably different from last year's budget.
In other areas, no one seriously thinks the policies of a McCain-Lieberman administration would be appreciably different from those, say, of a McCain-Pawlenty administration.
They don't see their assignment as being appreciably different from what it always was, and to them that includes doing much of what Mr. Gottlieb is proposing.
Consequently, the solutions obtained in these two cases are appreciably different.
As a direct result of their structural differences, the diameters of the two networks (computed as the maximum shortest path length) are appreciably different.
If some process tends to produce such superpositions, then the reducing dynamics induces the localization of the centre of mass (the associated wave function being appreciably different from zero only in a narrow and precise interval).
The latter concerns a completely different situation, i.e., that in which one is confronted with a superposition with comparable weights of two macroscopically separated wave functions, both of which possess tails (i.e., have non-compact support) but are appreciably different from zero only in far-away narrow intervals.
It is shown that when the properties of liquids 1 and 2 are appreciably different, the bubble growth rate can experience a significant increase or decrease when the thermal boundary layer extends into liquid 2. The present calculations are also compared with available data and the agreement is reasonable.
