However, if there is no additional complex of singular lines, the order of the image regulus of a pencil is precisely Af.

However a comparable performing digital system is more complex and can require more bandwidth than its analog counterpart.

However, legislating for alterations to the Act is a complex process, since the act is a common denominator in the shared succession of all the Commonwealth realms and the Statute of Westminster 1931 acknowledges by established convention that any changes to the rules of succession may be made only with the agreement of all of the states involved, with concurrent amendments to be made by each state's parliament or parliaments.

However, the mechanistic explanation of catalysis is complex.

However, both cnidarians and ctenophores are more complex than sponges as they have: cells bound by inter-cell connections and carpet-like basement membranes ; muscles ; nervous systems ; and some have sensory organs.

However, both cnidarians and ctenophores have a type of muscle that, in more complex animals, arises from the middle cell layer.

However, what one sees as complex and what one sees as simple is relative and changes with time.

However, recent investigations of languages with very complex click systems such as Nǁng have revealed that the supposed velar – uvular contrast is actually a contrast of a simple clicks versus click – plosive airstream contours ( or consonant clusters, depending on analysis ).

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, none of Justinian's surviving edicts dealing with Jewish matters is explicitly directed against the Jewish calendar, making the interpretation of Procopius's statement a complex matter.

However, the design of complex software systems is often the domain of software engineering, which is usually considered a separate discipline.

However, it is considered to be a complex process because the contents in solution have to be analyzed in half reactions, whether reduced or oxidized.

However, the Union complex as a whole remained in rebel hands.

However, there could still be an even more complex flash-back construction in American films in the case of W. S. Van Dyke ' sThe Lady of the Dugout ( 1918 ).

However, later research showed that triple-stranded, quadruple-stranded and other more complex DNA molecular structures required Hoogstein bonds.

However, if the shape is complex with many features, the algorithm spends a large amount of time tracing the edges of the region trying to ensure that all can be painted.

However, BBC books such as The Infinity Doctors and Unnatural History imply that the Doctor's origin is complex and that every version is somehow " true " ( such as Susan's claim in the original version of An Unearthly Child that she was born in the 49th century ).

However, while this simple correspondence between an allele and a trait works in some cases, most traits are more complex and are controlled by multiple interacting genes within and among organisms.

However, the actual genetic mechanisms of haplodiploid sex determination may be more complex than simple chromosome number.

However, Ambroise-Auguste Liébeault and Bernheim introduced more complex hypnotic " depth " scales, based on a combination of behavioural, physiological and subjective responses, some of which were due to direct suggestion and some of which were not.

However, more expressive languages are likely to require more complex logic and algorithms to construct equivalent inferences.

However, the complex pronunciation of the ' v ' in Kariva saw the Western constructors produce a sound much like a ' b ' hence the creation of the word Kariba.

However while some animals may acquire large numbers of words and symbols, none have been able to learn as many different signs as is generally known by an average 4 year old human, nor have any acquired anything resembling the complex grammar of human language.

However, XML eliminated many of the more complex and human-oriented features of SGML to simplify implementation environments such as documents and publications.

However, whether you arrange to have a European or American model, if you rent a car with the proper seating capacity in relation to the number of people in your party, your transportation expense will average very close to $10.00 per day per passenger.

However, in the actual assessment of the cutting force by instrumental methods for any thickness of coating a number of spurious effects occur which must be taken into account and which make the measured value larger than the true cutting force indicated by eqn. ( 1 ).

However, a witness with a high level of empathic concern is likely to assume personal responsibility entirely regardless of the number of bystanders.

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, prior to 1915, the word Zahl ( simply number ) was used for an element's assigned number in the periodic table.

However, another randomized controlled trial found primary closure led to 35 % failing to heal primarily and primary closure longer median number of days to closure ( 8. 9 versus 7. 8 ).

However, the rail link between Abkhazia and Georgia proper has been closed for a number of years, forcing Armenia to receive rail cars laden with cargo only through the relatively expensive rail-ferry services operating between Georgian and other Black Sea ports.

However, Mormon doctrine differs from Arianism in a number of ways, particularly in the doctrines of eternal progression and exaltation.

However, success rates of this therapy have not been firmly established, because only a limited number of clinical trials testing the efficacy of phage therapy have been conducted.

However, despite a push for new antibiotic therapies there has been a continued decline in the number of newly approved drugs.

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

However, Mary II died childless in 1694, after which William III did not remarry, and Princess Anne's last surviving child, Prince William, Duke of Gloucester, died six years later, after which it was unlikely she would have any more children due to her age and the large number of miscarriages she had previously suffered.

However, the situation has not returned to the pre-1968 level and the number of successful hijackings continues to be high-an average of 18 per annum during the 10-year period between 1988 and 1997, as against the pre-1968 average of five.

However his style here is a development of that of a number of miniatures of battle-scenes he had done much earlier for Maximilian I in his illuminated manuscript Triumphal Procession in 1512-14.

However, a number of false-positives and false-negatives are known.

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 this introduced a new resonant mode, and a number of planes were lost before this was discovered.

However the large number of copper-zinc alloys now known suggests that at least some were deliberately manufactured and many have zinc contents of more than 12 % wt which would have resulted in a distinctive golden color.

However, in the same poll, when respondents were asked to name the worst president since World War II, Clinton was placed number three behind Richard Nixon and George W. Bush.

However, prior to 1950 the strip went through a number of significantly different formats.

However, earlier controversies over impact of the Boston extension of the Massachusetts Turnpike, particularly on the heavily populated neighborhood of Brighton, and the large number of additional homes that would have had to be destroyed, led to massive community opposition to both the Inner Belt and the Boston section of I-95.

However, there is considerable variation on this pattern in almost every respect, including length, number of lines and rhyming scheme, making the strict definition of a ballad extremely difficult.

However, block ciphers may also be used as building blocks in other cryptographic protocols, such as universal hash functions and pseudo-random number generators.

However, because of the increasing number of TEM-and SHV-derived β-lactamases, they were divided into two subclasses, 2a and 2b.