Subsequent formalizations were framed as attempts to define " effective calculability " or " effective method "; those formalizations included the Gödel – Herbrand – Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's " Formulation 1 " of 1936, and Alan Turing's Turing machines of 1936 – 7 and 1939.

Subsequent attempts by Emperor Augustus to annex territories east of the Rhine were abandoned, after Arminius annihilated three Roman legions at the Battle of the Teutoburg forest in 9 AD.

Subsequent attempts to prove Salisbury's involvement, such as Francis Edwards's 1969 work Guy Fawkes: the real story of the gunpowder plot ?, have similarly foundered on the lack of any clear evidence.

Subsequent attempts to verify the claims requested payroll cards from employers to verify employment, and found that the minimum wage increases were followed by decreases in employment.

Subsequent attempts to forge an agreement in the 1930s came to naught as the Ontario government of Mitchell Hepburn, along with Quebec, got in the way.

Subsequent measurement attempts arrived at values ranging from 2, 500 to 6, 000 km, or from slightly smaller than our Moon to nearly half the diameter of Earth.

Subsequent attempts to climb Lenin Peak could not begin until 1950, when the USSR began to recover from the Second World War.

Subsequent attempts to train homing behaviour into swallows and other passerines had difficulty establishing a statistically significant success rate, although the birds have been known to trap themselves repeatedly in order to obtain bait from traps.

Subsequent attempts to replicate the study by injecting sufficient venom to ensure envenomation have failed to produce necrotic lesions, and there is even question as to whether the lesions observed in the original study were necrotic.

Subsequent kings of France sought to control Brittany in part because of the attempts of the king of England and the king of Spain to control the Duchy.

Subsequent attempts to revive the generalship have failed to garner the support of the community as a whole and the military survives primarily as an honor guard for the Maya Church.

( Subsequent episodes touched on her attempts to adjust to her new world ).

Subsequent rebuilding attempts were also dismantled.

Subsequent attempts by scholars to view the manuscript have been unsuccessful.

Subsequent attempts to find a gay leader who would give an apologetic statement proved unsuccessful.

Subsequent funding cutbacks at the government-supported CBC, however, led to Beachcombers being cancelled even though it was still popular in its homeland and had been syndicated around the world, though attempts to revamp the series by giving it more suspenseful storylines and making it more action-oriented had met with much fan criticism.

Subsequent attempts to rehabilitate the rapist character of Todd, however, unnerved Howarth.

Subsequent attempts by producers to have him return in 2005 and 2006 did not meet with success.

Subsequent repair attempts by the crew cause an explosive decompression that breaks open a medical shipment of Senegal Flu, and the plane is refused landing rights in Europe.

Subsequent attempts to ' complete ' the National Monument have never borne fruit for reasons of either cost or lack of local enthusiasm.

Subsequent and prolonged comeback attempts all failed, and by the end of the season, Milwaukee released Vuckovich.

Subsequent attempts to describe the behavior of polarity items rely on a broader notion of nonveridicality.

Subsequent attempts by the Catholics to regain the property through legal proceedings against the Calvinists were hindered by the fact that the exact location of the documents pertaining to the church were unknown.

Subsequent attempts to locate this site have been unsuccessful.

Subsequent issues ( possibly separated by advertising breaks on commercial stations ) are begun by McLaughlin in a similar fashion, but open heated debate begins more quickly.

Subsequent to these efforts, several other groups, mostly at the major genome sequencing centers, built large-scale assemblers, and an open source effort known as AMOS was launched to bring together all the innovations in genome assembly technology under the open source framework.

Subsequent approval made it an open standard adoptable by all computer developers.

Subsequent to this, the south side of the ground was covered over, and Pittodrie Stadium was proclaimed as the country's first all-seated, all-covered ground, although the southern corners of the ground remained open to the skies.

Subsequent state tournaments, which were open to all member schools, provided the IHSA with fiscal independence, an important new vehicle to spread its message, and ever-increasing name recognition among the public.

Subsequent pages will load faster because no style information will need to be downloaded – the CSS file will already be in the browser's cache.

Subsequent existential philosophers retain the emphasis on the individual, but differ, in varying degrees, on how one achieves and what constitutes a fulfilling life, what obstacles must be overcome, and what external and internal factors are involved, including the potential consequences of the existence or non-existence of God.

Subsequent measurements of Vega at 193 μm showed a lower than expected flux for the hypothesized particles, suggesting that they must instead be on the order of 100 μm or less.

Subsequent dates on H. erectus pushed the fossils back to well before Acheulean tools ; that is, H. erectus must have initially used Mode 1.

Subsequent leader Joseph Stalin, who viewed the Soviet Union as a " socialist island ", stated that the Soviet Union must see that " the present capitalist encirclement is replaced by a socialist encirclement.

Subsequent Soviet leader Joseph Stalin, who viewed the Soviet Union as a " socialist island ", stated that the Soviet Union must see that " the present capitalist encirclement is replaced by a socialist encirclement.

( c ) Subsequent to 1 March 1961, a Soldier must have been:

( d ) Subsequent to 24 May 1965, to qualify for the CIB, personnel serving in U. S. units must meet the requirements of b ( 1 ), above.

Subsequent writers who work as script doctors must contribute more than half of the final screenplay to receive formal credit on a film.

Subsequent assemblies will be held at Stranahan High School Tuesday, at Pompano Beach High Wednesday, and at Fort Lauderdale high Thursday.

Subsequent generations in the city would be strongly influenced by the tide of Baroque styles pre-eminent in other parts of Italy.

Subsequent mentions in Supreme Court opinions beginning in the mid-20th century have assumed that it would today be found unconstitutional.

* 1946 – The " Subsequent Nuremberg Trials " begin with the " Doctors ' Trial ", prosecuting doctors alleged to be involved in human experimentation.

Subsequent fossil discoveries, notably Lucy, and reinterpretation of older fossil materials, notably Ramapithecus, showed the younger estimates to be correct and validated the albumin method.

Subsequent events that can be traced to the Revolution include the Napoleonic Wars, two separate restorations of monarchy ( Bourbon Restoration and July Monarchy ), and two additional revolutions ( 1830 and 1848 ) as modern France took shape.

Subsequent to the resolution of the dispute, the Gibraltar telephone numbering plan has been increased to eight digits for land lines, adding a prefix of 200 to the existing Gibtelecom five digit numbers which is required to be dialled from October 2008.

" Among those included were the previous decrees placing various heliocentric works on the Index ("... which we will should be considered as though it were inserted in these presents, together with all, and singular, the things contained therein ...") and using his Apostolic authority he bound the faithful to its contents ("... and approve with Apostolic authority by the tenor of these presents, and: command and enjoin all persons everywhere to yield this Index a constant and complete obedience ...") Subsequent to Alexander VII's pontificate, the Index underwent a number of revisions.

Subsequent sightings between this date and 1829 were made by other Europeans, but as in the case of the sighting and observations made by Vlamingh, the area was considered to be inhospitable and unsuitable for the agriculture which would be needed to sustain a settlement.

Subsequent to this, the UK Privy Council deemed the amnesty invalid but expressed the view that it would be improper to re-arrest the 114 accused.

Subsequent work at the Royal Aircraft Establishment investigated axial turbine designs that could be used to supply power to a shaft and thence a propeller.

Subsequent observations showed Halley's deuterium ratio to be far higher than that in found in the Earth's oceans, making such comets unlikely sources for Earth's water.

Subsequent models soon incorporated mechanical coupling between the lens and the camera body, indicating the working aperture to the camera while allowing the lens to be at its maximum aperture for composition and focusing ; this feature became known as automatic aperture control or automatic diaphragm control.

Subsequent releases would be less successful, but the band continued to tour on the nostalgia circuit well into the 2000s.

Subsequent studies have confirmed a role for recombination in telomere maintenance by ALT ( Dunham et al., 2000 ), however the exact mechanism of this pathway is yet to be determined.

Subsequent development requires planning permission, which will be granted or refused with reference to the development plan as a material consideration.

Subsequent measurements ( to ensure treatment is effective ), may be taken from a normal blood test taken from a vein, as there is little difference between the arterial and the venous pH.

Subsequent scholars have found Langdon's work, including his tablet transcriptions, to be not entirely reliable.

Subsequent authors, including Hamilton, sometimes reformulate this with a regression, which, unlike probabilities, can be negative.

Subsequent to the widespread use in commerce, many halocarbons have also been shown to be serious pollutants and toxins.

Subsequent engine design would be accomplished by one central office with all designs being shared by each brand.

Subsequent investigation, however, revealed the story to be a fabrication.