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#< li value =" 4 "> It is computationally elegant and relatively robust against violations to its assumptions.

What sets it apart from other approaches, however, is its focus on developing and applying computationally intensive techniques to achieve this goal.

mainly used to establish the connection with the sum of powers because it is computationally expensive.

Calculating electronic properties of metals by solving the many-body wavefunction is often computationally hard, and hence, approximation techniques are necessary to obtain meaningful predictions.

The treatment of larger molecules that contain a few dozen electrons is computationally tractable by approximate methods such as density functional theory ( DFT ).

Pre-rendering is a computationally intensive process that is typically used for movie creation, while real-time rendering is often done for 3D video games which rely on the use of graphics cards with 3D hardware accelerators.

Context switches are usually computationally intensive and much of the design of operating systems is to optimize the use

The detail analysis of CMBR data to produce maps, an angular power spectrum, and ultimately cosmological parameters is a complicated, computationally difficult problem.

For the same reason, filter functions whose critical response is at lower frequencies ( compared to the sampling frequency 1 / T ) require a higher order, more computationally intensive FIR filter.

Factorization of large integers is believed to be a computationally very difficult problem, and the security of many modern cryptography systems is based upon its infeasibility.

Though this method of approximation ( also known as a " cheat " because it's not really a global illumination method ) is easy to perform computationally, when used alone it does not provide an adequately realistic effect.

In mathematics, Horner's method ( also known as Horner scheme in the UK or Horner's rule in the U. S .) is either of two things: ( i ) an algorithm for calculating polynomials, which consists in transforming the monomial form into a computationally efficient form ; or ( ii ) a method for approximating the roots of a polynomial.

* Computational linguistics – study of linguistic issues in a way that is ' computationally responsible ', i. e., taking careful note of computational consideration of algorithmic specification and computational complexity, so that the linguistic theories devised can be shown to exhibit certain desirable computational properties implementations.

Solution of the matrix equation Ra = r is computationally a relatively expensive process.

The system is very power efficient and computationally powerful.

The apparent motions of the compound oscillations typically appears very complicated but a more economic, computationally simpler and conceptually deeper description is given by resolving the motion into normal modes.

Although it is computationally easy for the intended recipient to generate the public and private keys, to decrypt the message using the private key, and easy for the sender to encrypt the message using the public key, it is extremely difficult ( or effectively impossible ) for anyone to derive the private key, based only on their knowledge of the public key.

Because symmetric key algorithms are nearly always much less computationally intensive than asymmetric ones, it is common to exchange a key using a key-exchange algorithm, then transmit data using that key and a symmetric key algorithm.

If a cryptographic hash function is well designed, it is computationally infeasible to reverse the function to recover a plaintext password.

Integer factorization is believed to be computationally infeasible with an ordinary computer for large integers if they are the product of few prime numbers ( e. g., products of two 300-digit primes ).

The intensive treatment program is working well.

The long-range objective is to hold the damage from destructive agencies below the level which would seriously interfere with intensive management of the National Forest System under principles of multiple use and high-level sustained yield of products and services.

It is proposed that in 10 years all commercial timberlands, all critical watersheds, and other lands in the National Forest System developed or proposed for intensive use will be given protection from fire adequate to meet the fire situation in the worst years and under serious peak loads.

Her conclusion has been borne out in the experience of many practitioners: `` short-contact interviewing is neither a truncated nor a telescoped experience but is of the same essential quality as the so-called intensive case work ''.

foamed refrigerator insulation is under intensive evaluation by every major manufacturer ; ;

Although the training is only for one month, it is intensive and thorough.

The area around Abensberg, the so-called sand belt between Siegburg, Neustadt an der Donau, Abensberg and Langquaid, is used for the intensive farming of asparagus, due to the optimal soil condition and climate.

According to the Brown Driver Briggs lexicon, the Hebrew abaddon ( Hebrew: אבדון ; avadon ) is an intensive form of the Semitic root and verb stem abad ( א ָ ב ַ ד ) " perish " ( transitive " destroy "), which occurs 184 times in the Hebrew Bible.

Bodybuilding is a form of physical exercise and body modification involving intensive muscle hypertrophy.

The text of this Convention is the result of some three years of intensive debate and negotiation at the Conference of the Committee on Disarmament at Geneva and at the United Nations.

" News " today is virtually always dramatized, at least by pitting " one side " against another in the fictional journalistic concept that all stories must contain " both sides " ( as though reality could be reduced to two sides ) or by using more intensive dramatic developments similar to feature movies.

Conventional insulinotherapy is a therapeutic regimen for treatment of diabetes mellitus which contrasts with the newer intensive insulinotherapy.

* The target range for blood glucose levels is higher than is desired in the intensive regimen.

The down side of this method is that it is difficult to achieve as good results of glycemic control as with intensive insulinotherapy.

The advantage is that, for diabetics with a regular lifestyle, the regime is less intrusive than the intensive therapy.

It is really the funeral day of scholastic science.

At the same time, I am aware that my recoil could be interpreted by readers of the tea leaves at the bottom of my psyche as an incestuous sign, since theirs is a science of paradox: if one hates, they say it is because one loves ; ;

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

On the other hand, the bright vision of the future has been directly stated in science fiction concerned with projecting ideal societies -- science fiction, of course, is related, if sometimes distantly, to that utopian literature optimistic about science, literature whose period of greatest vigor in the late nineteenth and early twentieth centuries produced Edward Bellamy's Looking Backward and H. G. Wells's A Modern Utopia.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Considering then the optimism which has permeated science fiction for so long, what is really remarkable is that during the last twelve years many science-fiction writers have turned about and attacked their own cherished vision of the future, have attacked the Childhood's End kind of faith that science and technology will inevitably better the human condition.

Because of the means of publication -- science-fiction magazines and cheap paperbacks -- and because dystopian science fiction is still appearing in quantity the full range and extent of this phenomenon can hardly be known, though one fact is evident: the science-fiction imagination has been immensely fertile in its extrapolations.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

What makes the current phenomenon unique is that so many science-fiction writers have reversed a trend and turned to writing works critical of the impact of science and technology on human life.

Not all recent science fiction, however, is dystopian, for the optimistic strain is still very much alive in Mission Of Gravity and Childhood's End, as we have seen, as well as in many other recent popular novels and stories like Fred Hoyle's The Black Cloud ( 1957 ) ; ;

Easily the best known of these three novels is The Space Merchants, a good example of a science-fiction dystopia which extrapolates much more than the impact of science on human life, though its most important warning is in this area, namely as to the use to which discoveries in the behavioral sciences may be put.

Rather what Kornbluth and Pohl are really doing is warning against the dangers inherent in perfecting `` a science of man and his motives ''.

If man is actually the product of his environment and if science can discover the laws of human nature and the ways in which environment determines what people do, then someone -- a someone probably standing outside traditional systems of values -- can turn around and develop completely efficient means for controlling people.