perfect power

(redirected from Perfect powers)

perfect power

[¦pər·fikt ′pau̇·ər]
(mathematics)
A number or polynomial which equals another number or polynomial raised to an integral power greater than one.
References in classic literature ?
I several times caught this same lizard, by driving it down to a point, and though possessed of such perfect powers of diving and swimming, nothing would induce it to enter the water; and as often as I threw it in, it returned in the manner above described.
It must not be inferred from these remarks that any of the grades of wing-structure here alluded to, which perhaps may all have resulted from disuse, indicate the natural steps by which birds have acquired their perfect power of flight; but they serve, at least, to show what diversified means of transition are possible.
You don't need perfect powers of deduction to explore well-signposted Torquay on foot and the Imperial Hotel in Park Hill Road is a good place to start.
In this paper, we are interested in Fibonacci and Lucas numbers which are sum of three perfect powers of some prescribed distinct bases.
Maybe the most outstanding result on this subject is due to Bugeaud, Mignotte and Siksek [1, Theorem 1] who showed that 0, 1, 8, 144 and 1, 4 are the only Fibonacci and Lucas numbers, respectively, of the form [y.sup.t], with t > 1 (perfect power).
We find little trouble in understanding the older actors who have perfect powers of enunciation.
Indeed, even if she has perfect powers of deduction, and higher-level physical facts are a priori deducible from lower-level ones, Mary may still lack concepts which are required in order to deduce from the lower-level physical facts what it is like to see red.
Perfect powers, gather collectible gear, and vanquish arch enemies.
Florentin Smarandache has posed many problems that deal with perfect powers. See [1] for example.