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 open the file must be compatible with all previously granted sharing-access to the file.

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 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 sections on grants describe the other categories of the grant structure.

Subsequent books describe Corinth, Laconia, Messenia, Elis, Achaia, Arcadia, Boetia, Phocis and Ozolian Locris.

Subsequent investigation revealed that 60 Minutes had not disclosed they had engineered the vehicle's behavior – fitting a canister of compressed air on the passenger-side floor, to pump fluid via a hose to a hole drilled into the transmission – the arrangement executed by one of the experts who had testified on behalf of a plaintiff in a then pending lawsuit against Audi's parent company.

Subsequent work by Hale demonstrated a strong tendency for east-west alignment of magnetic polarities in sunspots, with mirror symmetry across the solar equator ; and that the magnetic polarity for sunspots in each hemisphere switched orientation, from one sunspot cycle to the next.

Subsequent work demonstrated a strong tendency for east-west alignment of magnetic polarities in sunspots, with mirror symmetry across the solar equator ; and that the polarity in each hemisphere switched orientation from one sunspot cycle to the next.

Subsequent models included the " Shark ", introduced to the United States in the 1960s and so-named due to the serrated loading auger which was designed to tear up garbage sacks and other large soft items as they were dragged into the drum.

Subsequent to this, new walls were built to defend the city, and the fleet on the Danube improved.

Subsequent investigations proved that the appearance of flying rods on video was an optical illusion created by the slower recording speed of the camera.

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 warps are then tied in to the existing warp with the help of a knotting robot which ties each new thread on individually.

Subsequent sets have featured no new cards featuring Nevinyrral, although the character is sporadically quoted on the flavor text of various cards.

Subsequent meetings of an OAU Implementation Committee proposed a cease-fire, a UN peacekeeping force, and an interim administration to assist with an OAU-UN-supervised referendum on the issue of independence or annexation.

Subsequent repression, including the crackdown on peaceful protestors in September 2007, further strained the relationship.

Subsequent repression, including the brutal crackdown on peaceful protestors in September 2007, further strained the relationship.

Subsequent ' numerologists ' including Lynn Buess ( 1978 ), Mark Gruner ( 1979 ), Kathleen Roquemore ( 1985 ), and Florence Campbell ( 1983 ), expanded on the use of numerology for assessing major aspects of personality and cyclical patterns in life.

Subsequent artists to have releases on the label include Ape School, Cougar, cross-genre punk band The Death Set and The Heavy.

" 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 protests throughout the country shook the government, and after an escalated protest with university professors taking to the streets on April 25, Rhee handed in his formal resignation on April 26.

Subsequent to joining the military effort, the two countries signed an agreement in late 1992 allowing for US bases on Emirate soil.

Findings of the Independent Commission of Inquiry into the Israeli Attack on USS Liberty, the Recall of Military Rescue Support Aircraft while the Ship was Under Attack, and the Subsequent Cover-up by the United States Government

Subsequent plays may put tiles on the board and on top of tiles already played, so long as all words formed are found in the dictionary being used.

Subsequent to his conviction, Eastman continuously appealed against his conviction, attempting to win a retrial on the basis that he was mentally unfit during his original trial.

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 medical waste discoveries on beaches in Coney Island and in Monmouth County, New Jersey force the closure of numerous New York – area beaches in the middle of one of the hottest summers on record in the American Northeast.

Subsequent inspection on MABOT showed that the Iraqi forces had not primed their explosives having been unwilling to destroy the facility.