For the case of power-of-two, Papadimitriou ( 1979 ) argued that the number of complex-number additions achieved by Cooley – Tukey algorithms is optimal under certain assumptions on the graph of the algorithm ( his assumptions imply, among other things, that no additive identities in the roots of unity are exploited ).

For such data, a function that extracts the numeric part k of the file name and returns k mod n would be nearly optimal.

For many other instances with millions of cities, solutions can be found that are guaranteed to be within 1 % of an optimal tour.

For many years Lin – Kernighan – Johnson had identified optimal solutions for all TSPs where an optimal solution was known and had identified the best known solutions for all other TSPs on which the method had been tried.

For example, the first 30 ' of a 6wt fly line should weigh between 152-168 grains, with the optimal weight being 160 grains.

For patients with diabetes mellitus type 2, the importance of monitoring and the optimal frequency of monitoring are not clear.

For instance, if we abstract sets of couples ( x, y ) of real numbers by enclosing convex polyhedra, there is no optimal abstraction to the disc defined by x < sup > 2 </ sup >+ y < sup > 2 </ sup > ≤ 1.

For example, bigger stones are first scanned to get the three-dimensional shape, which is then used to find the optimal usage.

For optimal EMI performance high frequency signals are routed in internal layers between power or ground planes as power plane behaves as ground for AC.

For optimal dissolution, the tablet must disintegrate into its primary pa des as quickly as possible.

For most missions a single RL-10 is optimal ( or adequate ), hence a substantial reliability and cost benefit was realized .< sup > p.

For optimal accuracy, the color difference between the two species should be as clear as possible, and the narrower the pH range of the color change the better.

For many of these enzymes the optimal substrate is hydrogen peroxide, but others are more active with organic hydroperoxides such as lipid peroxides.

For example, given constraints C1, C2, and C3, where C1 dominates C2, which dominates C3 ( C1 >> C2 >> C3 ), A is optimal if it does better than B on the highest ranking constraint which assigns them a different number of violations.

For example, given a graph G =( V, E ), the shortest path p from a vertex u to a vertex v exhibits optimal substructure: take any intermediate vertex w on this shortest path p. If p is truly the shortest path, then the path p < sub > 1 </ sub > from u to w and p < sub > 2 </ sub > from w to v are indeed the shortest paths between the corresponding vertices ( by the simple cut-and-paste argument described in CLRS ).

For cataloguing purposes, the optimal position for the INFO chunk is near the beginning of the file.

For example, in economics the optimal profit to a player is calculated subject to a constrained space of actions, where a Lagrange multiplier is the change in the optimal value of the objective function due to the relaxation of a given constraint ( e. g. through a change in income ); in such a context is the marginal cost of the constraint, and is referred to as the shadow price.

For example, in a two-sample testing situation with a given total sample size n, it is optimal to have equal numbers of observations from the two populations being compared ( as long as the variances in the two populations are the same ).

For the above reasons, wireless radio systems have the advantage of being optimal for lower-information-capacity broadcast communications delivered over longer paths.

For instance, in 2007 it was announced that checkers has been ( weakly, but not strongly ) solved — optimal play by both sides also leads to a draw — but this result was a computer-assisted proof.

For example, its earliest application was in finding mixture models with the optimal number of classes.

For the mean-square error distortion criterion, it can be easily shown that the optimal set of reconstruction values is given by setting the reconstruction value within each interval to the conditional expected value ( also referred to as the centroid ) within the interval, as given by:

For example, the idea of the taste of an orange is far inferior to the impression ( or sensation ) of actually eating one.

For David Hume, delicacy of taste is not merely " the ability to detect all the ingredients in a composition ", but also our sensitivity " to pains as well as pleasures, which escape the rest of mankind.

For example, they remove the color, bitterness, and taste generally associated with beer, ale, porter, stout, and other malt beverages.

For example, eating one food too often will cause a person to lose taste for it.

For ease of transport, Cretan painters specialized in panel paintings, and developed the ability to work in many styles to fit the taste of various patrons.

For the best taste, glasses are filled in two stages.

For instance, the taste is strongly influenced by its odor.

For example, the English developed a taste for acidic foods — such as oranges for the upper class — and started to use vinegar heavily.

For example, the Old English verb ceosan ' choose ' had the past plural form curon and the past participle ( ge ) coren ← * keusanan: * kuzún ~ * kuzánaz ← *: * ~ * ' taste, try '.

For cooking, the stalks are often cut into pieces and stewed ( boil in water ); it is necessary only to barely cover the stalks with water because rhubarb stalks contain a great deal of water on their own ; 1 / 2 to 3 / 4 cup of sugar is added for each pound of rhubarb ; Spices such as cinnamon and / or nutmeg can be added to taste.

For the fullest taste, fresh leaves are crumpled, steamed, and dried, yielding dark brown tea leaves.

" What makes Coming Up For Air so peculiarly bitter to the taste is that, in addition to calling up the twin spectres of totalitarianism and workless poverty, it also declares the impossibility of ' retaining one's childhood love of such things as trees, fishes, butterflies ' - because it postulates a world in which these things are simply not there any more.

For example, California-style marmalade is made from the peel of sweet oranges and consequently lacks the bitter taste of Seville orange marmalade.

*" And many recent recordings of pop music demonstrate how music is killed by a metronome for they are as square as a draftsman's T. For the convenience of recording engineers, each player has to record their part on a separate track while listening to a click track — a metronome — and the clicks are then used to synchronize the tracks while the technicians adjust them to their taste and mix them.

For instance, north Misiones Province has a heavier taste than Corrientes Province, and mate harvested in summer is higher in caffeine than that of spring and fall.

For example, a wide range of statues located around campus gives visitors and students alike a taste of the Gonzaga culture.

For politics he had no taste, and adhered to the king's cause merely from motives of personal loyalty, from hatred of " whatsoever was like to disturb the public peace ," and because the monarchy " was the foundation and support of his own greatness ".

For example, the National Institute on Deafness and Other Communication Disorders is looking into the mechanisms underlying the key receptors on taste cells and applying this knowledge to the future of medications and artificial food products.

For the period 1520 – 1550 there are separate chapters on ancient literature, theology, speculative philosophy and jurisprudence, the literature of taste, and scientific and miscellaneous literature ; and the subdivisions of subjects is carried further in later periods.

For it was said in Sandman 21: ' One day in every century, Death takes on mortal flesh, better to comprehend what the lives she takes must feel like, to taste the bitter tang of mortality.

* http :// kidshealth. org / kid / talk / qa / taste_buds. html For kids about taste buds!

For example, the sensory register takes in via the five senses: visual, auditory, tactile, olfactory, and taste.

For a taste of authentic Chinese food, visit Hei Wa En.

For example, a person who has never tasted an apple will never fully understand through language what the taste of an apple is.