The arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives, including the Apollo program which culminated in landing people on the Moon.

He was also responsible, along with the regent Bardas, for initiating a far-reaching educational program within the Empire which culminated in the establishment of the University of Magnaura, where Cyril was to teach.

In 1958 the navy started the Typhon Combat System, a prophetic program culminated in the futuristic, but unreliable AN / SPG-59 phased array radar which was never made viable and was canceled in 1963 to be replaced by the ASMS.

Its program was structured around a series of anonymous competitions that culminated in the grand prix de l ' Académie Royale, more familiar as the Grand Prix de Rome, for its winner was awarded a bourse and a place at the French Academy in Rome.

However, the first Chinese crewed flight program only began in earnest several decades later, when an accelerated program of technological development culminated in Yang Liwei's successful 2003 flight aboard Shenzhou 5.

The Soyuz 16 mission was the final rehearsal and first manned mission in a program which culminated in the Apollo-Soyuz ( ASTP ) mission seven months later.

In 1977, as Minister of Defence he began a secret nuclear weapons program, which culminated in the production of six nuclear bombs destroyed only in the early 1990s.

This allegation of racial chauvinism culminated in a two-piece television program broadcast on government controlled TV channel RTM entitled “ Bahaya Cauvinisme ”.

Nash then engaged in a brief program with TNA Heavyweight Champion Kurt Angle, which eventually culminated in Nash aiding Angle.

These declarations had the unintended consequence of providing fresh fodder for New World Order conspiracism, and culminated in talk show host Sean Hannity stating on his Fox News Channel program Hannity that " conspiracy theorists were right ".

This economic program has culminated in Panama ’ s sovereign debt rating being upgraded to “ investment grade ” by Fitch, Moody ’ s, and Standard & Poor ’ s.

Often referred to as " Pakal the Great ", this ruler righted a kingdom that had been unstabilized by enemy attacks and oversaw a building program that culminated in the Temple of the Inscriptions.

Washington's tenure had culminated in the creation of a coalition of minority and progressive council members who were poised to enact a program of reforms when he died unexpectedly.

James F. Ziegler led a program of work at IBM which culminated in the publication of a number of papers ( Ziegler and Lanford, 1979 ) demonstrating that cosmic rays also could cause soft errors.

From 1995-1996, she was a driving force behind the creation of the historic USA Basketball Women's Senior National Team program that culminated with a 60-0 record and the gold medal at the 1996 Atlanta Olympics.

Achievement of this program opened the door, in December of the same year, to the signing with the IMF of a Three-Year Arrangement under the Poverty Reduction Growth Facility ( PRGF ) which culminated in the normalisation of the country's relations with the international financial community.

The year-long program featured the first Thermal River archaeological investigation on the Marshall Hotel in the Firehole River and culminated in a published book on the archaeology of the site garnering PAST the National Park Service John L. Cotter Award for Excellence in American Archaeology.

The Master of Education degree was changed to the Master of Behavioral Studies and, subsequently, the University was approved to offer a graduate program in business which culminated in the degree of Master of Administrative Studies.

An additional benefit of a structured program will be one that lends itself to proofs of correctness using mathematical induction.

Dijkstra objected noting that the resulting proofs are long and cumbersome, and that the proof gives no insight on how the program was developed.

The early development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program.

An important use of specification languages is enabling the creation of proofs of program correctness ( see theorem prover ).

But these meta-mathematical proofs cannot be represented within the arithmetical calculus ; and, since they are not finitistic, they do not achieve the proclaimed objectives of Hilbert's original program.

For example, proofs of properties or refinement from the specification to a program may be undertaken.

As previously mentioned, the spur for the mathematical investigation of proofs in formal theories was Hilbert's program.

The central idea of this program was that if we could give finitary proofs of consistency for all the sophisticated formal theories needed by mathematicians, then we could ground these theories by means of a metamathematical argument, which shows that all of their purely universal assertions ( more technically their provable sentences ) are finitarily true ; once so grounded we do not care about the non-finitary meaning of their existential theorems, regarding these as pseudo-meaningful stipulations of the existence of ideal entities.

It borrows directly from the notion of running a program on itself as input, which is also used in various proofs in theoretical computer science, such as the proof that the halting problem is undecidable.

It allows the expression of mathematical assertions, mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof of its formal specification.

They allow the clean specification of computer programs and the formulation of proofs about program behavior.

#* Abstract interpretation was developed to allow proofs of certain program properties ;

* Coq – Which allows the expression of mathematical assertions, mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof of its formal specification.

:: Proof theory grew out of David Hilbert's ambitious program to formalize all the proofs in mathematics.

Subsequent proofs of the theorem addressed practical shortcomings of the Böhm-Jacopini proof with constructions that maintained or improved the clarity of the original program.

It borrows directly from the notion of running a program on itself as input, which is also used in various proofs in theoretical computer science, such as the proof that the halting problem is undecidable.

Dr. Andrew Weil, director of the program in Integrative Medicine at University of Arizona, wrote the book Eating Well for Optimum Health.

The Langlands program is a far-reaching web of these ideas of ' unifying conjectures ' that link different subfields of mathematics, e. g. number theory and representation theory of Lie groups ; some of these conjectures have since been proved.

He has made outstanding contributions to Langlands ' program in the fields of number theory and analysis, and in particular proved the Langlands conjectures for the automorphism group of a function field.

The Langlands program is a web of far-reaching and influential conjectures that relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles.

In fact the Langlands program ( or philosophy ) is much more like a web of unifying conjectures ; it really does postulate that the general theory of automorphic forms is regulated by the L-groups introduced by Robert Langlands.

In the Smithsonian Channel TV program, " Davinci Detective " Dr Maurizio Seracini conjectures that, upon seeing the preliminary drawings for the altar piece they had commissioned, they rejected it due to the sensational scenario presented to them.

Further increases arise from the civilian employee health program enacted by the Congress last year.

The last exercise of Roland Claude's prescribed program for Henri is a single exercise, done in individual sets with a bit longer pause between sets.

The last essential to the beginner's gymnastic program is the somersault, or forward roll.

Much progress has been made in the last two decades in developing techniques for understanding children, yet in almost any classroom today can be found children whose needs are not being met by the school program.

This last point is important because if high school pupils are aware that few, if any, graduates who have chosen a certain vocational program have obtained a job as a consequence of the training, the whole idea of relevance disappears.

Some anti-organization Democrats saw in the program an opportunity to end the bitter internal fight within the Democratic party that has been going on for the last three years.

The rise in sales last winter was checked when the Government's new feed grain program was adopted ; ;

There are other good representations of peasants and people of the court by actors who are finely costumed and magnificently photographed in this last of the Russian films to reach this country in the program of joint cultural exchange.

In recent years Anna Xydis has played with the New York Philharmonic and at Lewisohn Stadium, but her program last night at Town Hall was the Greek-born pianist's first New York recital since 1948.

Ellie Mao, soprano, and Frederick Fuller, baritone, presented a program of folksongs entitled `` East Meets West '' in Carnegie Recital Hall last night.

In the last decade the number of Negro-appeal radio program hours has risen at least 15 per cent, and the number of Negro-appeal stations has increased 30 per cent, according to a research man quoted by Sponsor.

The last program of this festival, which during two weeks had sampled most compositional categories, brought the Cologne Rundfunk-Sinfonie-Orchester and Rundfunkchor to Bonn's gold-filled hall for a performance of the Missa Solemnis.

As Apollo 16 was the penultimate mission in the Apollo program and there was no new hardware or procedures to test on the lunar surface, the last two missions ( the other being Apollo 17 ) presented opportunities for astronauts to clear up some uncertainties in understanding the Moon's properties.

It was in the writings of his last two years that he laid out the research program of Linguistic relativity.

The biggest, and most important, program of the FAB in the last years is the SIPAM ( Sistema de Proteção da Amazônia-Amazonian Protection System ), the operational part of the SIPAM is known by SIVAM ( Sistema de Vigilância da Amazônia-Amazon Vigilance System ).

The program terminates when the instruction pointer moves past the last command.

Here, the difference between the two notions of program mentioned in the last paragraph becomes clear ; one is easily recognized by some grammar, while the other requires arbitrary computation to recognize.

The reachability definition of " garbage " is not optimal, insofar as the last time a program uses an object could be long before that object falls out of the environment scope.

Ever since the shift to the three segment format, it has been a running joke to refer to the last segment as " the third half " of the program.

In 1971, the BIOT Commissioner ordered the extermination of feral dogs following the departure of the last plantation workers, and the program continued through 1975, when the last feral dog was observed and shot.

The last horse was observed in 1995, and by 2005, just two cats were thought to have survived an island-wide eradication program.

* 1972 – Apollo program: Eugene Cernan is the last person to walk on the moon, after he and Harrison Schmitt complete the third and final Extra-vehicular activity ( EVA ) of the Apollo 17 mission.

“ This doctrine is rooted in Aristotle's conception of the soul, and has antecedents in Hobbes's conception of the mind as a ‘ calculating machine ’, but it has become fully articulated ( and popularly endorsed ) only in the last third of the 20th century .” In so far as it mediates stimulus and response, a mental function is analogous to a program that processes input / output in automata theory.