Rather than putting their trust in ephemeral sensations they seek form in the stable relationships of pure design, which symbolize an order more real than the disorder of the perceptual world.

But whereas the postwar American abstractionists seem to Helion to be determined to `` escape '' from the real world, or simply to rebel against it, the ordered abstractions which he and his associates of the 1930's were painting embodied the hope of `` improving '' things.

After that, he declared, `` to return to freedom was to fall to one's knees before the real world and adore it ''.

Our problem, therefore, is to devise processes more modest in their aspirations, adjusted to the real world of sovereign nation states and diverse and hostile communities.

It seems to me that N.C., in his editorial `` Confrontation '' ( SR, Mar. 25 ), has hit upon the real problem that bothers all of us in a complex world: how do we retain our personal relationship with those who suffer??

Our own freedom, and the future of freedom around the world, depend, in a very real sense, on their ability to build growing and independent nations where men can live in dignity, liberated from the bonds of hunger, ignorance and poverty.

When consciousness deserts the sleeping body and the wakeful world, it continues in the myriad progressions of the ever-present past and future, in a life as vibrant and real as the one left when the body tired and required sleep.

Just a few centuries ago the world of spirits was as populous and real as the world of material entities.

For all involved in this discussion the devil is a real entity who can really be confronted in the woods on a dark night, the demon world is populated with real creatures, and witches actually can be seen flying through the air.

Hirsch says that he has given the role certain qualities he has observed in the city toughs of the real world.

The technological, operative approach, which she calls extraverted, and the mystic, contemplative, psychological one, which she calls introverted are not mutually exclusive, but complementary instead, as meditation requires practice in the real world, and conversely.

Price wrote that the hypothetical " next world would be realms of real mental images.

George W. Snedecor, the head of Iowa State's Statistics Department, was very likely the first user of an electronic digital computer to solve real world mathematics problems.

The fantasy worlds and kingdoms gradually acquired the characteristics of real world — sovereigns, armies, heroes, outlaws, fugitives, inns, schools and publishers.

Also, in the real world, quark confinement prevents quarks from being separated by more than microscopic distances.

Academic elitism is the criticism that academia or academicians are prone to elitism, or that certain experts or intellectuals propose ideas based more on support from academic colleagues than on real world experience.

According to Steiner, a real spiritual world exists, out of which the material one gradually condensed and evolved.

AI-complete problems are hypothesised to include computer vision, natural language understanding, and dealing with unexpected circumstances while solving any real world problem.

* Dealing with unexpected circumstances while solving any real world problem, whether it's navigation or planning or even the kind of reasoning done by expert systems.

When AI researchers attempt to " scale up " their systems to handle more complicated, real world situations, the programs tend to become excessively brittle without commonsense knowledge or a rudimentary understanding of the situation: they fail as unexpected circumstances outside of its original problem context begin to appear.

While controlled clinical trials of atypicals reported that extrapyramidal symptoms occurred in 5 – 15 % of patients, a study of bipolar disorder in a real world clinical setting found a rate of 63 %, questioning the generalizability of the trials.

Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.

Strictly speaking, it refers to art unconcerned with the literal depiction of things from the visible world — it can, however, refer to an object or image which has been distilled from the real world, or indeed, another work of art.

For example, suppose that X is the set of all non-empty subsets of the real numbers.

For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

An example of such a number is the unique real root of the polynomial ( which is approximately 1. 167304 ).

For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

Some have survived and others may be deduced from accurate landscapes of real places in his later work, for example his engraving Nemesis.

For example, if a bank, operating under the Basel I accord, has to hold 8 % capital against default risk, but the real risk of default is lower, it is profitable to securitise the loan, removing the low risk loan from its portfolio.

For example, a boom in the real estate market started around 2003.

For example, the spectrum of an element of a complex Banach algebra can never be empty, whereas in a real Banach algebra it could be empty for some elements.

* In anime Bleach is an example, Ikkaku Madarame carries a bokken when in his Gigai as he wasn't allowed to carry a real sword in public.

On the other hand, some other jurisdictions have sufficiently developed bodies of law so that parties have no real motivation to choose the law of a foreign jurisdiction ( for example, England and Wales, and the state of California ), but not yet so fully developed that parties with no relationship to the jurisdiction choose that law.

For example, a perfect crystal of diamond would only contain carbon atoms, but a real crystal might perhaps contain a few boron atoms as well.

For example, Georg Cantor ( who introduced this concept ) demonstrated that the real numbers cannot be put into one-to-one correspondence with the natural numbers ( non-negative integers ), and therefore that the set of real numbers has a greater cardinality than the set of natural numbers.

An example of a compact space is the unit interval of real numbers.

The given example sequence shows the importance of including the boundary points of the interval, since the limit points must be in the space itself: an open ( or half-open ) interval of the real numbers is not compact.

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

An even more prominent example is that of Cardinal Richelieu, whose power was so great that he was for many years the real ruler of France.

Construction of a map in real time, for example by using Field-Map technology, improves productivity and quality of the result.

An example is given by the real numbers, which are complete but homeomorphic to the open interval ( 0, 1 ), which is not complete.

Another example is given by the irrational numbers, which are not complete as a subspace of the real numbers but are homeomorphic to N < sup > N </ sup > ( see the sequence example in Examples above ).