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, when names are concerned ( e. g. in phone books or in author catalogues in libraries ), umlauts are often treated as combinations of the vowel with a suffixed e ; Austrian phone books now treat characters with umlauts as separate letters ( immediately following the underlying vowel ).

" However, the DSM is based on an underlying structure that assumes discrete medical disorders that can be separated from each other by symptom patterns.

However, unlike some orthographies, English orthography often represents a very abstract underlying representation ( or morphophonemic form ) of English words.

However the article goes on to state that it is imperative to note that both neglect and aphasia are not the underlying causes of pusher syndrome.

However, because host ( web site ) addresses and port numbers are necessarily part of the underlying TCP / IP protocols, HTTPS cannot protect their disclosure.

However, more recently researchers have brought attention to potential underlying causes of OCBs, including social pressure, coercion, and other external forces.

However, it may mask the symptoms of the underlying problem, and therefore make diagnosis more difficult for a veterinarian.

However, this practice is not extensively used in regular Leet ; more often it is seen in situations where the argot ( i. e., " secret language ") characteristics of the system are required, either to exclude newbies or outsiders in general, i. e., anything that the average reader cannot make sense of is valid ; a valid reader should himself try to make sense, if deserving of the underlying message.

However, it has become clear that the two theories are related in some fashion ; they appear as different limits of a single underlying theory.

However, using them is not so straightforward and a relatively good understanding of the underlying theory is essential.

However there is some debate about a possible underlying mechanism that enables this correlation to occur even when the separation distance is large.

However, the key deficits of receptive aphasia do not come from damage to Wernicke's area ; instead, most of the core difficulties are proposed to come from damage to the medial temporal lobe and underlying white matter.

( However, in the variety of Iranian underlying Old Persian, fricativization occurs in all clusters, thus Old Persian hafta " seven ".

However, the Roman Catholic Church believes that, when Jesus made that declaration, the underlying reality ( the " substance ") of the bread was converted to that of his body.

However, the major sign that would lead a doctor to consider an underlying condition is a dilated aorta or an aortic aneurysm.

However, there is no change in the underlying DNA sequence of the organism ; instead, non-genetic factors cause the organism's genes to behave ( or " express themselves ") differently.

However, in every respect, the concepts underlying the two systems are identical: in each, a new piece of information gets pegged to something that is already known.

However the Jin bureaucracy forgot an underlying threat: Living in areas well south of the Great Wall and closer than ever before to the capital of China at Luoyang, any widespread uprising by the Wu Hu would be impossible to halt.

However, caution should be exerted in considering such a statement because it is an idealized model of the process, introduced to describe the fundamental ideas underlying the process.

Josephus wrote: “ Although the location was generally unfavorable, contended with the difficulties so well that the solidity of the construction could not be overcome by the sea, and its beauty seemed finished off without impediment .” However, there were underlying problems that led to its demise.

However, Schoenberg and other theorists who used his ideas as a point of departure see the theme and variations as having an underlying role in the construction of formal music, calling the process continuing variation, and argue from this idea that the sonata-allegro form is a means of structuring the continuing variation process.

However, in Demetriou's theory, one of the neo-Piagetian theories of cognitive development, Gardner is criticized for underestimating the effects exerted on the various domains of intelligences by processes that define general processing efficiency, such as speed of processing, executive functions, working memory, and meta-cognitive processes underlying self-awareness and self-regulation.

However, self-localization requires that the underlying product first be engineered to support such activities, which is a non-trivial endeavor.

However needed this may be, the fundamental problem is not information but active commitment to the total mission of the church of Christ in the world.

However, during the time of Arianism's flowering in Constantinople, the Gothic convert Ulfilas ( later the subject of the letter of Auxentius cited above ) was sent as a missionary to the Gothic barbarians across the Danube, a mission favored for political reasons by emperor Constantius II.

However, after the cancellations of Apollo 18 and Apollo 19 were finalized in September 1970 it meant that this crew would not rotate to a lunar mission as planned.

However, Bede ignores the fact that at the time of Augustine's mission, the history between the two was one of warfare and conquest, which, in the words of Barbara Yorke, would have naturally " curbed any missionary impulses towards the Anglo-Saxons from the British clergy.

However, a primary mission of the Soviet Navy's attack submarines was to shadow every CVBG and, on the outbreak of hostilities, sink the carriers.

However, it remains ambiguous whether the discovery predates arrival of Europeans because of the presence of a Patagonian Missionary Society mission station on Keppel Island, founded in 1856.

However, Francis ' mission was primarily, as ordered by King John III, to restore Christianity among the Portuguese settlers.

However, the mission was further delayed by the hiatus in launches that occurred after the Space Shuttle Challenger disaster.

However, there are provisions in international law to perform the same diplomatic functions, or at least part of them, such as accrediting, with a lower title with the head of government, or functioning within another mission.

However, Western Medicine was introduced to China in the 19th Century, mainly by medical missionaries sent from various Christian mission organizations, such as the London Missionary Society ( Britain ), the Methodist Church ( Britain ) and the Presbyterian Church ( USA ).

However, Luthor is outraged when he learns that not only is Superman's mission genuine, but his defining moment of tragedy is the loss of his father.

However, his first mission, in which he killed one of his father's old enemies, Dr. Petrie, ended with Shang-Chi learning of Fu Manchu's true, evil nature.

However, the Filipino mission was later recalled as collateral for the release of a Filipino hostage.

However, Butler is thought to have been in the employment of the Duke of Buckingham in the summer of 1670, and accompanied him on a diplomatic mission to France.

However, Kim and Chakotay succeed in their mission, erasing the alternate time line.

However, the 1960 shootdown of a CIA U-2 by an SA-2 Guideline surface-to-air missile ( SAM ) while on a clandestine reconnaissance mission over the Soviet Union suddenly complicated the introduction of these new aircraft.

However, on November 14, 2009, the New York Times announced that " President Obama and other world leaders have decided to put off the difficult task of reaching a climate change agreement ... agreeing instead to make it the mission of the Copenhagen conference to reach a less specific " politically binding " agreement that would punt the most difficult issues into the future ".

However, the Athenian mission led by the Athenian general Laches is unable to offer much help.

However, Tracy ended up back on Earth when the Apollo 11 mission in 1969 showed that the moon was barren of all life.

However, as most of the mission schools had been assimilated into the national education system, they are referred to as " sekolah menengah " in Malay.

However, she did get along with Lieutenant Reginald Barclay, so when Data had to leave on a mission at the same time Spot's kittens were due, he persuaded Barclay to take care of her (" Genesis ").

Since Knox was largely a figurehead, there were few major roles for Stevenson, However, in early 1944 he joined a mission to Sicily and Italy for the Foreign Economic Administration to report on the country's economy.

However doubts about the willingness and capability of Italian forces to cooperate, and the distance of the mission far beyond support by the Allied military, resulted in the artillery commander of the 82nd, Brig.

However, many of the Indians who had sought refuge in the neighboring mountains during the revolt returned to the mission.