However, in recent decades, for what doubtless are multiple reasons, an unannounced but nonetheless readily observable shift has occurred in both facets of national activity.

However, it determined that neither this factor, nor `` the fact that all concerned in high executive posts in both companies acted honorably and fairly, each in the honest conviction that his actions were in the best interests of his own company and without any design to overreach anyone, including Du Pont's competitors '', outweighed the Government's claim for relief.

However, the statistical offices of both governments were assigned responsibility for the planning and analysis of these statistics.

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, while Apollo has a great number of appellations in Greek myth, only a few occur in Latin literature, chief among them Phoebus ( ; Φοίβος, Phoibos, literally " radiant "), which was very commonly used by both the Greeks and Romans in Apollo's role as the god of light.

However, no direct connection can be demonstrated, and the similarity of the abaci may be coincidental, both ultimately arising from counting with five fingers per hand.

However, ZF plus GCH implies AC, making GCH a strictly stronger claim than AC, even though they are both independent of ZF.

However, actual rainfall from year to year is irregular and occasionally may be less than, leading to severe reductions in crop yields for both rain-fed and irrigated agriculture.

However, both protons and neutrons are composite particles composed of elementary particles called quarks.

However, both Julius and Ethel wanted their children to be brought up in England, so they moved to Maida Vale, London, where Turing was born on 23 June 1912, as recorded by a blue plaque on the outside of the house of his birth, later the Colonnade Hotel.

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, 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, the Vikings lacked both the equipment necessary to undertake a siege against the burh and a developed doctrine of siegecraft, having tailored their methods of fighting to rapid strikes and unimpeded retreats to well defended fortifications.

However, he supposedly surrendered both of these out of a fear that they would hinder his search for knowledge.

However, the increasing prevalence of antibiotic-resistant bacterial infections seen in clinical practice stems from antibiotic use both within human medicine and veterinary medicine.

However, it has been argued that if both texts were written by the same individual, they should have exactly identical theologies and they should agree on historical questions.

" However, both Strabo and Pliny describe that shore.

However, they require compromises in borderline cases ; for example, nicotine contains a pyridine fragment from nicotinamide and pyrrolidine part from ornithine and therefore can be assigned to both classes.

However after the bankruptcy of old Viola, both Roma and Lazio had increased it shares ratio from 25 % to 37. 5 %.

However, his training in Wolgemut's studio, which made many carved and painted altarpieces and both designed and cut woodblocks for woodcut, evidently gave him great understanding of what the technique could be made to produce, and how to work with block cutters.

However, in 1513 and 1514 Dürer created his three most famous engravings: Knight, Death, and the Devil ( 1513, probably based on Erasmus's treatise Enichiridion militis Christiani ), St. Jerome in his Study, and the much-debated Melencolia I ( both 1514 ).

However, Otto died the same year, and although both mother and grandmother were appointed as co-regents for the child-king, Otto III, Theophano forced Adelaide to abdicate and exiled her.

However, managing and displaying a large number of sprites required much more CPU time ( both directly and indirectly since the MARIA would halt the CPU when drawing sprites ) than consoles with hardware sprites and backgrounds.

However, Alpha Centauri is a bright binary star, whose unresolved components to the naked eye are both fainter than Arcturus.

However, both the words and notes of the symphony have sources dating from earlier in Beethoven's career.

However, there always is some limit to the numbers who will spend the time and effort to acquire training.

However, if the phone you are dialling these numbers from is already registered with this company it will not announce your number.

However, the Lynx failed to achieve the sales numbers required to attract quality third party developers, and was eventually abandoned.

However, all of these legions were ' short ', and did not have the requisite numbers of troops.

However, with the Franco-Bavarian commanders reluctant to fight until their numbers were deemed sufficient, the Duke enacted a policy of plundering in Bavaria designed to force the issue.

However, the lack of manoeuvrability of the British forces, combined with lack of open-field tactics to command these numbers, put them at a disadvantage to the Romans, who were skilled at open combat due to their superior equipment and discipline.

However, sealed trains began carrying large numbers of prisoners to the Soviet Gulags.

However, both simple and high-end algorithms for computing Bernoulli numbers exist.

However, this problem has been alleviated somewhat by the development of the TransMilenio Bus Rapid System and the restriction of vehicles through a daily, rotating ban on private cars depending on plate numbers.

However, considered as a sequence of real numbers, it does converge to the irrational number.

However, there are some applications that require results other than numbers.

However, this is a relatively small number especially when playing with more than four people, so many domino sets are " extended " by introducing ends with greater numbers of spots, which increases the number of unique combinations of ends and thus of pieces.

However, most real numbers are not definable: the set of all definable numbers is countably infinite ( because the set of all logical formulas is ) while the set of real numbers is uncountably infinite ( see Cantor's diagonal argument ).

However, whether this is possible depends on how the field of complex numbers is derived in the first place: it may not be possible to distinguish a complex number from its conjugate ( say, 3 + i from 3-i ), since it is impossible to find a property of one that is not also a property of the other, without falling back on the underlying set-theoretic definition.

* However, if we think of as the field of real numbers, then the direct product does not exist-naively defining in a similar manner to the above examples would not result in a field since the element does not have a multiplicative inverse.

However, if the equation were based on the natural numbers for example, some of these operations ( like division and subtraction ) may not be valid as negative numbers and non-whole numbers are not allowed.

However, as of February 2009, at least four players must wear numbers between 50 and 79 on first, second, or third down, which by rule would make them ineligible receivers.

However, these numbers are not known to be expressible by themselves in terms of elementary functions.

However, sufficient numbers of moriscos stayed that Muslim culture remained influential in Spain.

However, the inability to maintain slave numbers without constant resupply from Africa meant the slave population, by 1789, totaled 500 000, ruled over by a white population that, by 1789, numbered only 32 000.