This arrangement was for Copernicus literally monstrous: `` With ( the Ptolemaists ) it is as though an artist were to gather the hands, feet, head and other members for his images from divers models, each part excellently drawn, but not related to a single body ; ;

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.

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.

The theme of The Walnut Trees Of Altenburg is most closely related to its immediate predecessor in Malraux's array of novels: Man's Hope ( 1937 ).

Lawrence Ferlenghetti and Bruce Lippincott have concentrated on writing a new poetry for reading with jazz that is very closely related to both the musical forms of jazz, and the vocabulary of the musician.

Closely related to his illusions about his typicality is Krim's complicated feeling about his Jewishness.

In view of the increasing shortage of usable surface and ground water in many parts of the Nation and the importance of finding new sources of supply to meet its present and future water needs, it is the policy of the Congress to provide for the development of practicable low-cost means for the large-scale production of water of a quality suitable for municipal, industrial, agricultural, and other beneficial consumptive uses from saline water, and for studies and research related thereto.

Prior to and since 1960 the rest of the support allotment is matched at rates related to the fiscal capacity of the State, with a pivot of 40% State ( or 60% Federal ) participation in total program costs.

These roads are largely of less than highway standards, and usually carry traffic which is related to use of the National Forests.

New obligational authority for 1961 recommended in this budget for aircraft procurement ( excluding amounts for related research and construction ) totals $4,753 million, which is $1,390 million below that enacted for 1960.

At that time consideration will be given to whether in the light of the United States supplies of rice available for Title 1, disposal, India's production, consumption and stocks of food grains, other imports from the United States and countries friendly to the United States, India's storage capacity, and other related factors, any increase would be possible in the portion of the total rice programmed which is currently planned for procurement during the first year.

Shape of the area is also related to the use attractions and needs of the development.

Every single problem touched on thus far is related to good marketing planning.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

Although there is no question but that the process of washing fabrics involves a number of phenomena which are related together in an extremely complicated way and that these phenomena and their interrelations are not well understood at the present, this section attempts to present briefly an up-to-date picture of the physical chemistry of washing either fabrics or hard surfaces.

This `` ejection '' momentum is linearly related to the particle energy.

The mass scale used in Table 5-1 was derived on the assumption that the motion of the glowing trail is related to the momentum transfer to the trail by the meteorite, permitting the calculation of the mass if the velocity is known ( Cook and Whipple, 1958 ).

Furthermore, conditioned reactions are fundamentally altered when the hypothalamic sympathetic reactivity is augmented beyond a critical level, and several types of behavioral changes probably related to the degree of central autonomic `` tuning '' are observed.

Several related tasks must be carried out if self-sustaining growth is to be achieved.

Closely related to this function is the fact that the religious system provides a body of ultimate ends for the society, which are compatible with the supreme eternal ends.

Establishing the truth or falsehood of the continuum hypothesis is the first of Hilbert's 23 problems presented in the year 1900.

There is, however, room to doubt whether Hilbert's own views were simplistically formalist in this sense.

* Hilbert's paradox of the Grand Hotel, a meditation on strange properties of the infinite, is often used in popular accounts of infinite cardinal numbers.

In mathematics, specifically commutative algebra, Hilbert's basis theorem states that every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated.

Hilbert's example: " the assertion that either there are only finitely many prime numbers or there are infinitely many " ( quoted in Davis 2000: 97 ); and Brouwer's: " Every mathematical species is either finite or infinite.

Work on Hilbert's 10th problem led in the late twentieth century to the construction of specific Diophantine equations for which it is undecidable whether they have a solution, or even if they do, whether they have a finite or infinite number of solutions.

In 1900, David Hilbert posed an influential question about transcendental numbers, Hilbert's seventh problem: If a is an algebraic number, that is not zero or one, and b is an irrational algebraic number, is a < sup > b </ sup > necessarily transcendental?

While he is best known for the Kolmogorov – Arnold – Moser theorem regarding the stability of integrable Hamiltonian systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory, including posing the ADE classification problem, since his first main result — the partial solution of Hilbert's thirteenth problem in 1957 at the age of 19.

Hilbert's paradox of the Grand Hotel is a mathematical veridical paradox ( a non-contradictory speculation that is strongly counter-intuitive ) about infinite sets presented by German mathematician David Hilbert ( 1862 – 1943 ).

However, in Hilbert's aptly named Grand Hotel, the quantity of odd-numbered rooms is no smaller than total " number " of rooms.

Hilbert's goals of creating a system of mathematics that is both complete and consistent were dealt a fatal blow by the second of Gödel's incompleteness theorems, which states that sufficiently expressive consistent axiom systems can never prove their own consistency.

Hilbert's geometry is mathematical, because it talks about abstract points, but in Field's theory, these points are the concrete points of physical space, so no special mathematical objects at all are needed.

This fact follows from the famous Hilbert's basis theorem named after mathematician David Hilbert ; the theorem asserts that if R is any Noetherian ring ( such as, for instance, ), R is also a Noetherian ring.

By induction, Hilbert's basis theorem establishes that, the ring of all polynomials in n variables with coefficients in, is a Noetherian ring.

The two results are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible, giving a negative answer to Hilbert's second problem.

Not all mathematicians agree with this analysis, however, and the status of Hilbert's second problem is not yet decided ( see " Modern viewpoints on the status of the problem ").

In Hilbert's axiomatization of geometry this statement is given as a theorem, but only after much groundwork.

While Hilbert's tenth problem is not a formal mathematical statement as such the nearly universal acceptance of the ( philosophical ) identification of a decision algorithm with a total computable predicate allows us to use the MRDP theorem to conclude the tenth problem is unsolvable.

According to a newspaper report of the 1961 statistics of the Church of England, the `` total of confirmed members is 9,748,000, but only 2,887,671 are registered on the parochial church rolls '', and `` over 27 million people in England are baptized into the Church of England, but roughly only a tenth of them continue ''.

The ll and ch were also considered single letters, but in 1994 the Real Academia Española changed collating order so that ll is between lk and lm in the dictionary and ch is between cg and ci, and in 2010 the tenth congress of the Association of Spanish Language Academies changed it so they were no longer letters at all < ref > Real Academia Española.

The first nine probably date from the 3rd century BC, they are usually included among the Cynic epistles, and reflect how the Cynic philosophers viewed him as prefiguring many of their ideas ; the tenth letter is quoted by Diogenes Laertius, it is addressed to Croesus, the proverbially rich king of Lydia, it too is fictitious:

Approximately nine tenths of the city is south of the Aar, and one tenth is to the north.

The Thâbit ibn Kurrah rule is a method for discovering amicable numbers invented in the tenth century by the Arab mathematician Thâbit ibn Kurrah.

It is used primarily in its decadic fraction, the decibel ( dB ), for signal strength and sound pressure level measurements, while a unit for one tenth of a byte, i. e. the decibyte, is never used.

In the American, Pacific, and both Cuban leagues, there is a tenth player, a designated hitter, who bats for the pitcher.

Unlike many power hitters, Ruth also hit for a high batting average: his. 342 lifetime average is the tenth highest in baseball history, and in one season ( 1923 ) he batted. 393, a Yankee record.

It is approximately the amount of energy needed to heat of water, which is exactly one tenth of a UK gallon or about 0. 1198 US gallons, from 39 ° F to 40 ° F ( 3. 8 ° C to 4. 4 ° C ).

The Year of Jubilee is announced in advance on the Day of Atonement, or the tenth day of the seventh Biblical month, in the forty-ninth year by the blowing of trumpets throughout the land of Israel.

For instance, a BAC of 0. 10 means that 0. 10 % ( one tenth of one percent ) of a person's blood, by volume ( usually, but in some countries by mass ), is alcohol.

Canada has the tenth largest economy in the world ( measured in US dollars at market exchange rates ), is one of the world's wealthiest nations, and is a member of the Organization for Economic Co-operation and Development ( OECD ) and Group of Eight ( G8 ).

It is one of the largest collections of monophonic ( solo ) songs from the Middle Ages and is characterized by the mention of the Virgin Mary in every song, while every tenth song is a hymn.

The significance of this manoevre is that in advanced play, making a break that includes the tenth hoop ( called 4-back ) is penalized by granting the opponent a lift ( entitling him to take the next shot from either baulk line ).

In this context, a decimal is a tenth part, and decimals become a series of nested tenths.