However, the algorithm can be improved by adopting the method of the assumed mean.

However, much to his professional detriment, Lavoisier discovered no new substances, devised no really novel apparatus, and worked out no improved methods of preparation.

However, many details have been improved, especially since the advent of modern materials and computer-aided design.

However, as printers have improved in quality and performance, many jobs which used to be done by professional print shops are now done by users on local printers ; see desktop publishing.

However, the cost of calculators fell as components and their production techniques improved, and the effect of economies of scale were felt.

However, on CRT displays with a similar pixel arrangement as flat-panel displays, such as aperture grille and Trinitron CRT displays, it can result in a slightly improved readability.

However, since 1989 relations have steadily improved.

However, with changes to the governments of both countries relations improved, to the extent that in 1990 Venezuela sponsored Guyana's bid for OAS membership in 1990.

However, conditions improved following a surge in U. S. troops in 2007-2008, and the war was declared formally over in December 2011, with the U. S. troops leaving the country.

However, Iraqi leaders remain hard pressed to translate macroeconomic gains into improved lives for ordinary Iraqis.

However, since 1989 relations have steadily improved.

However, as a result of conservative fiscal policies and a sound financial system, in 2010 the country credit rating improved slightly to BB + and was kept at that level in 2011.

However, people at Systems Concepts were better at designing machines than at mass producing or selling them ; the company continually improved the design, but lost credibility as delivery dates continued to slip.

However, party members believed that Stalin had improved his reputation in 1923 and ignored Lenin's order.

However, due to AT & T policy regarding source-code distribution, this improved curses library did not have much acceptance in the BSD community.

However the collapse of the Communist regime in 1989, reforms in the 2000s ( decade ) and its recent entry to the European Union have led to an improved economic outlook.

However, it was necessary to limit the length of the messages to 128 bytes ( later improved to 140 bytes, or 160 seven-bit characters ) so that the messages could fit into the existing signaling formats.

However, greatly improved distance measurements to globular clusters using the Hipparcos satellite and increasingly accurate measurements of the Hubble constant resolved the paradox, giving an age for the universe of about 13 billion years and an age for the oldest stars of a few hundred million years less.

However, Allen's strategy turned the Redskins around as the team improved to a 9 – 4 – 1 record in 1971, and finished the 1972 season with an NFC-best 11-3 record.

However, relations have improved with the 1998 ratification of the bilateral Treaty of Friendship and Cooperation.

However, as computational and experimental methods improved over the next decades, it became feasible to deduce reliable atomic positions for more complicated two-and three-dimensional arrangements of atoms in the unit-cell.

However, as food stores improved and women took on lesser roles in providing food for the family, they increasingly became subordinate to men.

However, in the past 50 years, the proportion of patients with botulism who die has fallen from about 50 % to 7 % due to improved supportive care.

However it typically costs much more, due to it having a much greater current AC-to-DC battery-charger / rectifier, and with the rectifier and inverter designed to run continuously with improved cooling systems.

However, they are not expected to take as long as the previous projects due to the discovery of an improved algorithm.

However, an understanding was definitely reached, enabling the Athenians to focus their attention on events in Greece proper.

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, unlike Alberti and Leonardo, Dürer was most troubled by understanding not just the abstract notions of beauty but also as to how an artist can create beautiful images.

However, there is sometimes a lack of understanding by researchers in developed countries about the actual needs of prospective beneficiaries in developing countries.

However, an understanding of the way words in the two languages evolve from Proto-Indo-European ( PIE ) roots shows that they cannot be cognate ( see for example Grimm's law ).

However, this understanding of original sin is what lies behind the Christian emphasis on the need for spiritual salvation from a spiritual Saviour, who can forgive and set aside sin even though humans are not inherently pure and worthy of such salvation.

" However, Marx also criticized classical materialism as another idealist philosophy due to its transhistorical understanding of material contexts.

However, Sapir often showed little understanding for Benedicts private thoughts and feelings, and particularly his conservative gender ideology jarred with Benedict's struggles as a female professional academic.

However, what is missing from this chart is any understanding of how much work has been accomplished during the project.

However, Butler's understanding of Self and Other is Eurocentric itself because she writes that one cannot recognize Self unless it is through the Other.

However, technology maturity requires a further understanding of the technology itself.

However, FLARE has most likely not reached optimal design requirements and further understanding of FLARE and how it works is completely necessary to ensure the evolution of the technology.

However some scholars have disputed the Pythagorean interpretation of this tablet ; see Plimpton 322 for details .</ ref > indicating, in particular, that there was sophisticated understanding on the topic " in Mesopotamia in 1850 BCE.

However, in this view the Torah is still held as mankind's record of its understanding of God's revelation, and thus still has divine authority.

However, consumers have shown a tendency to prefer low deductibles and to prefer to insure relatively high-probability, small losses over low-probability, perhaps due to not understanding or ignoring the low-probability risk.

However, our understanding of the molecular mechanisms behind genomic imprinting show that it is the maternal genome that controls much of the imprinting of both its own and the paternally-derived genes in the zygote, making it difficult to explain why the maternal genes would willingly relinquish their dominance to that of the paternally-derived genes in light of the conflict hypothesis.

However, the quote in context shows that Darwin actually had a very good understanding of the evolution of the eye.

However, the variety of single parent families regarding gender of the main parent has rarely been taken into reason when understanding the relation between family and child's negative outcomes.

However, this was not ultimately successful and he eventually moved toward a new understanding with the IMF in 1989.

However, it is possible to identify some of the significant steps towards our modern understanding of gravitational mass and its relationship to the other mass phenomena.

However, in recent years our increased understanding of the basic mechanisms of NMT and autoimmunity has led to the development of novel treatment strategies.

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

However, practitioners across a wide range of academic disciplines have also developed the method into a way of recording, understanding, and archiving narrated memories.

However, Sapir showed little understanding for Benedicts private thoughts and feelings, particularly his conservative gender ideology jarred with Benedict's struggle for emancipation.

However, a more careful examination of the existing literature leads to a more comprehensive understanding of what should be the key critical supply chain components, the " branches " of the previous identified supply chain business processes, that is, what kind of relationship the components may have that are related to suppliers and customers.