However, it is used extensively in establishing results about well-ordering and the ordinals in general.

However, Aspdin's methods were " rule-of-thumb ": Vicat is responsible for establishing the chemical basis of these cements, and Johnson established the importance of sintering the mix in the kiln.

However, in 1981, Rawlings deposed the new civilian government again, this time establishing the Provisional National Defence Council.

However, it was the British, who after initially establishing bases at Jesselton, Kuching, Penang and Singapore, ultimately secured their hegemony across the territory that is now Malaysia.

However, common use reduced ISDN to be limited to Q. 931 and related protocols, which are a set of protocols for establishing and breaking circuit switched connections, and for advanced calling features for the user.

However, al-Mahdi persecuted the Manichaeans, establishing an inquisition to root out their " heresy ", even resorting to outright massacre against them.

However, in moving the mass back to the equilibrium position, it has acquired momentum which keeps it moving beyond that position, establishing a new restoring force in the opposite sense.

However, Data East and its related developer Technōs Japan's Karate Champ from 1984 is credited with establishing and popularizing the one-on-one fighting game genre.

However, they were far less successful in establishing settlements in the Middle East, due to the more centralised Islamic power.

However, many Chinese historians extend the starting point of this period back to various years during the collapse of the Han dynasty, such as to the Yellow Turban Rebellion in 184 ; the year after the beginning of the rebellion, 185 ; Dong Zhuo deposing and murdering Emperor Shao of Han and establishing Emperor Xian of Han in 189 ; Dong Zhuo sacking Luoyang and moving the capital to Chang ' an in 190 ; or Cao Cao placing the emperor under his control in Xuchang in 196.

However, DNA tests on Dunbar's son and nephew revealed the two were not related, thus establishing that the boy found in 1912 was not Bobby Dunbar, whose real fate remains unknown.

However, under the unusual rules for establishing writing credits on television series ( where writers are often credited as " producers "), the principal writer is almost always credited as an executive producer rather than the more descriptive title of " head writer ".

However, in the following century, the two kingdoms, along with the Dutch Republic, succeeded in establishing permanent colonies.

However, establishing such a capability is very expensive.

However, in the Star Trek: Voyager episode " The Void ", the text of the founding document is shown on screen ( the preamble is a slightly reworded version of the UN Charter ), and it is clearly called the " Charter of the United Federation of Planets ," canonically establishing that as the name of the founding document.

However, a storm thwarted their attempts at establishing a colony.

However, players can mitigate the effects of these restrictions to a considerable extent by joining many tables at the same time ( which in itself is both acceptable and somewhat commonplace ) or by establishing accounts on different sites and rotating play between them ( note that while there is nothing unacceptable about someone playing in as many online poker rooms as he pleases, establishing multiple accounts on the same site violates virtually all online poker rooms ' terms and conditions and is thus by definition cheating ).

However, the federal government has been a strong supporter of establishing Canada as a bilingual country and has helped pioneer the French immersion programs in the public education systems throughout Canada.

However, at about this time, a group of investors were trying to promote development at Mackinaw City and due to their influence, in February 1858, the State Legislature passed an act establishing Mackinaw City as the county seat.

However, perhaps due to the rocky soil, the settlers eventually migrated west, some establishing the town of Granville, Ohio.

However, a dispute between the two hospitals regarding the successor to Sir Astley Cooper resulted in Guy's Hospital establishing its own medical school in 1825.

However in the summer of 1792 Claude was appointed Ingénieur-Télégraphiste and charged with establishing a line of stations between Paris and Lille, a distance of 230 kilometres ( about 143 miles ).

However, scholarly journals still play an important role in quality control and establishing scientific credit.

However, by comparing the TV snatches, two different radio station re-runs, and the censored Los Angeles Times version, I found that the radio stations had edited out questions ( ABC removed the one regarding Laos ) or even a paragraph out of the middle of the President's answer.

However, neither of these two cities is on the desired July 1 to June 30 fiscal year.

However, the jury said it believes `` these two offices should be combined to achieve greater efficiency and reduce the cost of administration ''.

However, there is a crucial difference between the two histories.

However, we sent a third vessel out, a much smaller and faster one than the first two.

However, the Greeks thought of the two qualities as complementary: the two gods are brothers, and when Apollo at winter left for Hyperborea, he would leave the Delphic oracle to Dionysus.

However, a dozen Ugaritic tablets from the fourteenth century BC preserve the alphabet in two sequences.

However Juhanen ( 1992 ) is skeptical about an affiliation of Japanese to Altaic languages, while Róna-Tas ( 1998: 77 ) remarked that a relationship between Altaic and Japanese, if it ever existed, must be more remote than the relationship of any two of the Indo-European languages.

However, the dispute over the Armenian Genocide and the recent war over Nagorno-Karabakh have created tense relations with two of its immediate neighbors, Azerbaijan and Turkey.

However, for most alloys there is a particular proportion of constituents ( in rare cases two )— the eutectic mixture — which gives the alloy a unique melting point.

However, to minimize the extent of the movement ignores the facts that at least two Roman emperors, Constantius II and Valens, became Arians, as did prominent Gothic, Vandal and Lombard warlords both before and after the fall of the Western Roman Empire.

However, to prevent confusion, the two conventions are never mixed.

However, Robert Rines, who previously made two underwater photographs allegedly showing the monster, countered with the fact that they can also be arranged into " Yes, both pix are monsters, R ."

However, tyrannosaurid forelimbs were extremely small for their body size and retained only two digits.

However, this division into two groups is considered by some modern scholars to be too simplistic and often it is practically impossible to know whether a lyric composition was sung or recited, or whether or not it was accompanied by musical instruments and dance.

However, Ealdred did not receive the other two dioceses that Lyfing had held, Crediton and Cornwall ; King Edward the Confessor ( reigned 1043 – 1066 ) granted these to Leofric, who combined the two sees at Crediton in 1050.

However the efficiencies of any two " reasonable " implementations of a given algorithm are related by a constant multiplicative factor called a hidden constant.

However, even with Mozart and Salieri being rivals for certain jobs, there is very little evidence that the relationship between the two composers was at all acrimonious beyond this, especially after 1785 or so when Mozart had become established in Vienna.

However, a few families were permitted to live in two villages, Endingen and Lengnau, in Aargau which became the Jewish ghetto in Switzerland.

However, from ground level, this sunset would be obscured by a ridge in the landscape, and the viewer would need to be raised by two meters: another observation platform was needed.

However, because organisms can be carriers of genes for albinism without exhibiting any traits, albinistic offspring can be produced by two non-albinistic parents.

However, two subsets are commonly chosen.

However, Medieval and later drawings often show it with two or more scaled feet, particularly chicken feet, and feathered wings.