For this reason, too, their language is more forthright and earthy.

For this reason, he appears as an independent and self-reliant figure, whose rugged individualism need not be pressed into the mold of a 9 to 5 routine.

For some happy reason Doric, Ionic, and Corinthian have always stuck in my mind.

For some reason, none of them were impressed with the territorial capital.

For this reason, then, poetry tends to weaken the power of control, the reason, because it tempts one to indulge his passions, and even the best of men, he maintains, may be corrupted by this subtle influence.

For this reason, he would banish indecent pictures and speeches from the stage ; ;

For this reason, then I want to describe, first, two examples of the puritanical attacks: Stephen Gosson's The School Of Abuse, 1579, and his later Playes Confuted, published in 1582.

For that reason any democratic reform and effort to bring genuine representative government to the Dominican Republic will need the greatest sympathy and help.

For some compulsive reason which would have fascinated Dr. Freud, Communists of all shapes and sizes almost invariably impute to others the very motives which they harbor themselves.

For this reason, the more uncertain skywave service was denominated `` secondary '' in our rules, as compared to the steadier, more reliable groundwave `` primary service '', and, for both skywave service and skywave interference, signal strength is expressed in terms of percentage of time a particular signal-intensity level is exceeded -- 50 percent of the time for skywave service, 10 percent of the time for skywave interference.

For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;

For this reason, U.S. Camera has prepared this special U.S.A. vacation feature.

For no particular reason, other than that the writer felt it might -- just might -- encourage both mates to be in attendance.

For the reason just suggested, I shall assume the use of the first subtype of fully distributed cost apportionment in the following simplified example.

For the same reason, the output fiber plate is planoconcave, its exposed flat side permitting contact photography if a permanent record is desired.

For that reason, he informed her, the Lord made the sky blue.

For fifty-five years he had lived, progressing towards a no-goal, eating, working, breathing without plan, without reason.

For this reason, he says, the density of the universe always remains the same even though the galaxies are zooming away in all directions.

For some reason, this ellipsis in the conversation spread until it swallowed up every other topic.

For this reason, the two gods withdrew their pursuit, and had her wed Peleus.

For this reason tadpoles can have horny ridges instead of teeth, whisker-like skin extensions or fins.

For this reason, ANOVAs are useful in comparing two, three, or more means.

For this reason the examples given below are grouped by voltage level.

For many years, the Swedish Academy interpreted " ideal " as " idealistic " () and used it as a reason not to give the prize to important but less Romantic authors, such as Henrik Ibsen and Leo Tolstoy.

For examples of simple addition algorithms specified in the detailed manner described in Algorithm characterizations, see Algorithm examples.

Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist.

For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.

For example, algorithms are known for factoring an n-bit integer using just over 2n qubits ( Shor's algorithm ).

For this reason cryptologists tend to look at indicators that an algorithm or key length shows signs of potential vulnerability, to move to longer key sizes or more difficult algorithms.

For example, machines, unlike humans, can support a wide selection of learning algorithms, and controversy has arisen over the relative ethical merits of these options.

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 other points of view on online inputs to algorithms, see streaming algorithm ( focusing on the amount of memory needed to accurately represent past inputs ), dynamic algorithm ( focusing on the time complexity of maintaining solutions to problems with online inputs ) and online machine learning.

For this method of analysis, the offline algorithm knows in advance which edges will fail and the goal is to minimize the ratio between the online and offline algorithms ' performance.

For a set of polynomial equations in several unknowns, there are algorithms to decide if they have a finite number of complex solutions.

For this reason, many online gambling sites provide descriptions of their shuffling algorithms and the sources of randomness used to drive these algorithms, with some gambling sites also providing auditors ' reports of the performance of their systems.

For more details on the sequences of operations used for various quantum algorithms, see universal quantum computer, Shor's algorithm, Grover's algorithm, Deutsch-Jozsa algorithm, amplitude amplification, quantum Fourier transform, quantum gate, quantum adiabatic algorithm and quantum error correction.

The number required to factor integers using Shor's algorithm is still polynomial, and thought to be between L and L < sup > 2 </ sup >, where L is the number of bits in the number to be factored ; error correction algorithms would inflate this figure by an additional factor of L. For a 1000-bit number, this implies a need for about 10 < sup > 4 </ sup > qubits without error correction.

For example, loss of a packet in audio application may result in loss of a fraction of a second of audio data, which can be made unnoticeable with suitable error concealment algorithms.

It is important to realize that the word problem is in fact solvable for many groups G. For example, polycyclic groups have solvable word problems since the normal form of an arbitrary word in a polycyclic presentation is readily computable ; other algorithms for groups may, in suitable circumstances, also solve the word problem, see the Todd – Coxeter algorithm and the Knuth – Bendix completion algorithm.

* For specific optimization problems and problem instances, other optimization algorithms may find better solutions than genetic algorithms ( given the same amount of computation time ).

For points in two and three dimensions, output-sensitive algorithms are known that compute the convex hull in time O ( n log h ).

For commodity processors, this means installing an ever-increasing amount of high-speed cache memory and using increasingly sophisticated algorithms to avoid " cache misses ".

For algorithms that NSA has participated in the development of, see NSA cryptography.

For instance, once an image is digitized it can become data that sophisticated algorithms can act upon.

For computer screens, where each individual pixel can mean the difference between legible and illegible characters, some digital fonts use hinting algorithms to make readable bitmaps at small sizes.

For example, given sequence data structures, e. g. singly linked list, vector etc., and algorithms to operate on them, e. g., etc., a direct approach would implement each algorithm specifically for each data structure, giving combinations to implement.

For example, feature extraction algorithms attempt to reduce a large-dimensionality feature vector into a smaller-dimensionality vector that is easier to work with and encodes less redundancy, using mathematical techniques such as principal components analysis ( PCA ).