However, as 1 + ( k + 1 ) x + kx < sup > 2 </ sup > ≥ 1 + ( k + 1 ) x ( since kx < sup > 2 </ sup > ≥ 0 ), it follows that ( 1 + x )< sup > k + 1 </ sup > ≥ 1 + ( k + 1 ) x, which means the statement is true for r = k + 1 as required.

However Newton's laws of motion apply only in the stationary frame and describe dynamics in terms of the absolute acceleration d < sup > 2 </ sup > r / dt < sup > 2 </ sup >.

However, this is a specific property of hydrogen and is no longer true for more complicated atoms which have a ( effective ) potential differing from the form 1 / r ( due to the presence of the inner electrons shielding the nucleus potential ).

However, r < sub > 2 </ sub >( n )/ 4 is multiplicative.

However, some languages also allow other sounds to form the nucleus of a syllable, such as the syllabic l in the English word table ( the stroke under the l indicates that it is syllabic ; the dot separates syllables ), or the r in Serbo-Croatian vrt " garden ".

However, Zhang was barred from assisting the committee due to his controversial views on apocrypha and his objection to the relegation of Emperor Gengshi's ( r. 23 – 25 ) role in the restoration of the Han Dynasty as lesser than Emperor Guangwu's.

However, the a in car does not have its regular " short " sound ( as in cat ) because it is controlled by the r. The r changes the sound of the vowel that precedes it.

However, palace eunuch Sun Cheng ( d. 132 CE ) masterminded a successful overthrow of her regime to enthrone Emperor Shun of Han ( r. 125 – 144 CE ).

)< sup > 10 </ sup > However, it certainly is not directly derived from it, as the substitution of r for rr in Iberian Romance languages was not a known occurrence.

However, according to the Royal Academy of the Basque Language, the origin may be another: The name is first found on Muslim chronicles of the 8th century referring to the Alavese Plains ( Spanish Llanada Alavesa, Basque Arabako Lautada ), laua in old Basque ( currently lautada ) with the Arab article added ( al + laua ), developing into Spanish Álava and Basque Araba ( a typical development of l to r between vowels ).

However, we have, for example, r f r

( In the proposed orthography for Central Rotokas, these are written v, r, g. However, b, d, g would work equally well.

However, when Duke Wen of Jin ( r. 636 – 628 BC ) came to power, he capitalized on the reforms of his father, Duke Xian ( r. 676 – 651 BC ), who had centralized the state, killed off relatives who might threaten his authority, conquered sixteen smaller states, and even absorbed some Rong and Di peoples to make Jin much more powerful than it had been previously.

" ( Celtic people actually settled much of Spain and Portugal beginning in the 700s BC )< sup > 5 </ sup > However, it certainly is not directly derived from it, as the substitution of r for rr in Ibero-Romantic languages was not a known occurrence.

However, many scholars, including Leonhard Euler, believe it originates from the letter " r ", the first letter of the Latin word " radix " ( meaning " root "), referring to the same mathematical operation.

r − W = W. However, 0 / 0, W / W, W + W, W − W, 0W and W0 remain undefined.

However, his liberalising initiative was undone by Pope Pius X ( r: 1903-1914 ), a traditionalist who had more sympathy with the French monarchists than with the Third Republic.

( Hideyuki 2005 ) However, they include three imperial-family shamans identified with her: Yamato-totohi-momoso-hime-no-mikoto, the aunt of Emperor Sujin ( legendary 10th Japanese emperor, r. 97-30 BCE ); Yamatohime-no-mikoto, the daughter of Emperor Suinin ( legendary 11th, r. 29 BCE-70 CE ); and Empress Jingū ( r. ca.

However, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.

However, in this case as elsewhere it was necessary to arrive at a single standard to be applied to all situations, representing an averaging of conditions, and thus to fix particular points in time which would be considered the dividing points between daytime and nighttime conditions.

However, the nonspecific staining by the Af in tumor sections was considered bright enough to be confused with the staining of small amounts of WTV antigen.

However, all admitted that the `` hindsight '' was not altogether lost.

However, she was able to relax and yield to the moment.

However, in this case the district manager was led to see the errors of his ways.

However, there was no real question of the justice of creating a strong Poland, both industrially and agriculturally, and one unplagued by large minorities of Germans or Russians.

However, the sovereign was not Hobbes' absolute monarch but rather the parliamentary sovereign of Austin.

However, a similar privilege was not specifically provided in section 168 for a person acquiring emergency facilities.

However, the Attorney General of California, at the request of the Secretary of Labor, sought to have the jurisdiction over the issue removed to the Federal District Court, on grounds that it was predominantly a Federal issue since the validity of the Secretary's Regulation was being challenged.

However, the Federal Court held that since the State had accepted the provisions of the Wagner-Peyser Act into its own Code, and presumably therefore also the regulations, it was now a State matter.

However nothing on four legs was supposed to be faster than a lion over a short distance, unless it was a cheetah.

However, it was virtually impossible to screen the mob outside, even if Bonner had manpower available for the purpose.

However likely it was, Pauling said, he couldn't limit himself to it.

However, Haney knew it was not a dream.

However, the confession, which was the only evidence against him, was retracted before the trial.

However, compared with March 1960 new car sales of 4,441, this March was off 23 per cent.

( However, there is little evidence that the late Lumumba was a Communist.

However, lacking requested reinforcements from McClellan, now commanding the Army of the Potomac, Pope was soundly defeated at the Second Battle of Bull Run in the summer of 1862, forcing the Army of the Potomac to defend Washington for a second time.

However Copperhead rhetoric argued that emancipation was a stumbling block to peace and reunification.

However, Plato reports that syntax was devised before him, by Prodicus of Ceos, who was concerned by the correct use of words.

However, the tree constructed by the living tree project, a collaboration between ARB-Silva and LPSN where a 16S ( and 23S if available ) tree of all validated species was constructed, the genus Bacillus contains a very large number of nested taxa and majorly in both 16S and 23S it is paraphyletic to Lactobacillales ( Lactobacillus, Streptococcus, Staphylococcus, Listeria, etc.

However, a permanent race track was not constructed until after the war, using communications roads built by the occupying German army.

However, man-made diving platforms are sometimes constructed in popular swimming destinations.

However, in 2002, Amnon Neeman and Pierre Deligne constructed an example of such a system in a category satisfying ( AB4 ) ( in addition to ( AB4 *)) with lim < sup > 1 </ sup > A < sub > i </ sub > ≠ 0.

However, the rocket constructed for the TV show did not adhere closely to Evliya Çelebi's description.

However, the other walls were moved when the Old Light was constructed in 1819.

However, where railways were constructed, roads often either preceded them for construction or quickly followed it when the newly accessible land started to be settled more closely.

However, the ring constructed in this way contains zero divisors and thus cannot be a field.

However, the Soviet Union, and later Russia, have constructed a number of manned drifting stations on a generally annual basis since 1937, some of which have passed over or very close to the Pole.

However, new fortifications, designed to withstand gunpowder weapons, were soon constructed throughout Europe.

However, there are no details provided regarding what tefillin are or how they are to be constructed.

However, the Golden Gate was only constructed in 1037 and the sword is actually dated to the late 12th or 13th century.

However, there were problems with this system, exemplified by the transcontinental telegraph line constructed in 1861 by the Western Union Company between Saint Joseph, Missouri, and Sacramento, California.

However, only one original Bauhaus building was constructed during 1919-1925, the Haus am Horn, now used for exhibitions and events on Bauhaus culture.

However, some scholars argue that they may have been constructed by a queen from the Assyrian city, Nineveh.

However, it took until 1985 before any HOV project was constructed in Los Angeles County, and by 1993 there were only of HOV lanes countywide.

However, the team spent its inaugural season as a road team while TD Bank Park was being constructed.

However, if the trail is properly designed and constructed, maintenance should be limited to clearing downed trees, trimming back brush and clearing drainages.

However in the Masoretic commands an altar to be constructed on Mount Ebal ( which is changed to Gerizim in the Samaritan ).

However, the Second Temple, which was completed in 515 BCE, had been constructed under the auspices of a foreign power, and there were lingering questions about its legitimacy.

However, stability would not have been seriously affected if the harbor had not been constructed over a geological fault line that runs along the coast.

However multi-story buildings are also built, while a number of buildings of three to five floors are being constructed in the city.

However, most of the buildings in the new town were newly constructed and many of the early merchants were from places other than Senex.