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Further mathematical justification was provided by Claude-Louis Navier and George Gabriel Stokes in the Navier – Stokes equations, and boundary layers were investigated ( Ludwig Prandtl, Theodore von Kármán ), while various scientists such as Osborne Reynolds, Andrey Kolmogorov, and Geoffrey Ingram Taylor advanced the understanding of fluid viscosity and turbulence.
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Further and mathematical
Further work continues to find mathematical constructs that join various surrounding theories.
Further studies in the 1990s provided the mathematical equation to confirm long bone wave propagation as to that of hexagonal ( Class 6 ) crystals.
Further examples include some of the early versions of the pixel shader languages embedded in Direct3D and OpenGL extensions, or a series of mathematical formulae in a spreadsheet with no cycles.
Further scientific and mathematical concepts covered in Arcadia are the second law of thermodynamics, and in relation to it, entropy.
Further, a variety of mathematical approximations to " Strict " MML can be used — see, e. g., Chapters 4 and 5 of Wallace ( posthumous ) 2005.
Further note, that unlike the mathematical concept of a fluid parcel which can be uniquely identified — as well as exclusively distinguished from its direct neighbouring parcels — in a real fluid such a parcel would not always consist of the same particles.
The IMA runs a wide range of mathematical activities through The Higher Education Services Area and The Schools and Further Education Group committees.
Other animated segments included Dirk Niblick of the Math Brigade, who often use his mathematical skills to help his friends and neighbors in everyday situations ; The Further Adventures of Zook & Alison ; and Fax Headful, a parody of Max Headroom.
Further mathematical analysis of connectionist system relieved that connectionist systems that could contain similar content could be mapped graphically to reveal clusters of nodes that were important to representing the content.
Further details about the mathematical methods to represent the orientation of rigid bodies and planes in three dimensions are given in the following sections.
Further and justification
Further justification for new footbridge structures both upstream and downstream of the railway bridge was that Sir John Hawkshaw's railway bridge's brittle wrought iron support pillars were vulnerable to impact from riverboats.
' Further, Paul writes of sin and justification in terms of two men, Adam and Christ.
Further and was
Further separation was carried out by ion exchange, yielding a certain isotope of curium.
Further investigation and theoretical work showed that the effect was a radiationless effect more than an internal conversion effect by use of elementary quantum mechanics and transition rate and transition probability calculations.
Further separation was carried out in the presence of a citric acid / ammonium buffer solution in a weakly acidic medium ( pH ≈ 3. 5 ), using ion exchange at elevated temperature.
" Further, at the time Gallomania was published, Disraeli was in fact electioneering in High Wycombe in the Radical interest.
Further ravage was brought by the same Vandals in 409, the Visigoths in 414 and the Franks in 498, beginning a period of obscurity for the city.
Further editing was apparently done even after that-the silver quarter-shekel which Saul's servant offers to Samuel in 1 Samuel 9 almost certainly fixes the date of this story in the Persian or Hellenistic periods.
Further developed, and fully translated into English, this Communion service was included, one year later, in 1549, in a full prayer book, set out with daily offices, readings for Sundays and Holy Days, the Communion Service, Public Baptism, of Confirmation, of Matrimony, The Visitation of the Sick, At a Burial and the Ordinal ( added in 1550 ).
" Further, many had not survived their punishment, Wylde writing how the neighborhood of Adwa " was full of their freshly dead bodies ; they had generally crawled to the banks of the streams to quench their thirst, where many of them lingered unattended and exposed to the elements until death put an end to their sufferings.
Further field labor was required.
Further optimization of sulfuric acid technology resulted in the contact process in 1880s, and the Haber process was developed in 1909 – 1910 for ammonia synthesis.
Further, 43 percent of respondents said they use less than half the functionality of their existing system ; 72 percent indicated they would trade functionality for ease of use ; 51 percent cited data synchronization as a major issue ; and 67 percent said that finding time to evaluate systems was a major problem.
Further problems were caused by a notorious hooligan element among the support, which was to plague the club throughout the decade.
Time Out was followed by several albums with a similar approach, including Time Further Out: Miro Reflections ( 1961 ), using more 5 / 4, 6 / 4, and 9 / 8, plus the first attempt at 7 / 4 ; Countdown: Time in Outer Space ( dedicated to John Glenn ) ( 1962 ), featuring 11 / 4 and more 7 / 4 ; Time Changes ( 1963 ), with much 3 / 4, 10 / 4 ( which was really 5 + 5 ), and 13 / 4 ; and Time In ( 1966 ).
Further, there is no reason that relational normalization concepts cannot be applied to CODASYL databases however, in the final tally, CODASYL was very complex and required significant training and effort to produce useful applications.
: A 10-part audio adaptation of The Further Adventures of Doctor Syn ( combining and abridging The Further Adventures of Doctor Syn and The Shadow of Doctor Syn ) read by Rufus Sewell was performed on BBC Radio 7 in December 2007.
Further work was conducted by Otto von Guericke, Robert Boyle, Stephen Gray and C. F. du Fay.
This was subsequently translated into English by John Essex and published in England as For the Further Improvement of Dancing.
Further research into francium's structure was carried out by, among others, Sylvain Lieberman and his team at CERN in the 1970s and 1980s.
Further contributing to their growing separation, Garrison was worried that the North Star competed with his own National Anti-Slavery Standard and Marius Robinson's Anti-Slavery Bugle.
Further, the earliest use of feuum ( as a replacement for beneficium ) can be dated to 899, the same year a Muslim base at Fraxinetum ( La Garde-Freinet ) in Provence was established.
Further, Perutz explained that the report was to a Medical Research Council ( MRC ) committee that had been created in order to " establish contact between the different groups of people working for the Council ".
Further pressure was brought on the makers of the film, the Film i Väst film studio, who are partly financed by Swedish local authorities, including Åmål.
Further and provided
Further contributions to the Gothic genre were provided in the work of the Romantic poets.
Further analysis has provided an approximate date for his prophecy and possibilities concerning his activities and background.
Further steps were made in the early 17th century by Barrow and Torricelli, who provided the first hints of a connection between integration and differentiation.
Further, if " full-flush " points are written to the compressed stream, then corrupt data can be skipped, and the decompression will resynchronise at the next flush point-although no error recovery of the corrupt data is provided.
Further air support was provided by US Navy units and French Air Force Mirage 2000Ds.
Further research provided valuable information on the IP < sub > 3 </ sub > pathway, such as the discovery in 1986 that one of the many roles of the calcium released by IP < sub > 3 </ sub > is to work with DAG to activate protein kinase C ( PKC ).
Further support is provided by studies indicating that emission can be increased by addition of reactive oxygen species ( ROS ).
Further Education is provided by Bridgwater College which was formerly Bridgwater Technical School.
Further evidence of " metch " being a misnomer is provided by Tibetan language authority Professor David Snellgrove from the School of Oriental and African Studies at the University of London ( ca.
Further details on his family background are provided solely by the Icelandic and Norwegian sources of the 12th and 13th centuries, which are of limited and uncertain historical value and should therefore be treated with due circumspection.
Further in chapter 2, a quote from the anonymous 10th-century poem Eiríksmál is provided ( see the Fagrskinna section below for more detail about the poem and another translation ):
Further insight into Didymus ' methods of writing was provided by the discovery of a papyrus fragment of his commentary on the Philippics of Demosthenes.
Further evidence of Æthelbald's power, or at least his titles, is provided by an important charter of 736, the Ismere Diploma, which survives in a contemporary ( and possibly original ) copy.
Further help was provided to the Mumbai Police so that they could raise a SWAT team.
Education over the age of sixteen is provided by The North West Institute of Further and Higher Education.
Further accommodation is provided at Bear Lane ( across High Street ).
Further, Mudaraba is venture capital funding of an entrepreneur who provides labor while financing is provided by the bank so that both profit and risk are shared.
Further Education is provided by Park Lane College Leeds ' Otley Centre
Further details concerning Sejanus ' fall are provided by Cassius Dio, writing nearly 200 years after the facts in his Roman History.
Further experimentation is necessary to validate the new theory as opposed to the solution provided by Coulomb's Law.
Further evidence for the reported text theory is provided in how other plays are used throughout The Contention.
Further education is provided by South Worcestershire College ( previously known as Evesham and Malvern Hills College ) which caters mainly for students studying at the NVQ and BTEC level or undertaking practical vocational courses.
Further education in Northern Ireland is provided through six multi-campus colleges.
Further education in Wales is provided through:
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