However, because of the relatively small diffusion rates in solids, the corresponding chemical reactions are very slow in comparison to liquid and gas phase reactions.

However, the Theorema Egregium of Carl Friedrich Gauss showed that already for surfaces, the existence of a local isometry imposes strong compatibility conditions on their metrics: the Gaussian curvatures at the corresponding points must be the same.

However she had been corresponding with her uncle Raymond, King and holder of family properties in Antioch where he was seeking further protection from the French crown.

However, other British government officials were beginning to worry more about the rising political dominance of the Russian Empire in eastern Europe and the corresponding decline of the Ottoman Empire.

However, it was never argued by the " Joint Seven-Powers " that put forward the draft resolution, during the corresponding discussions, that it in any way afforded the Assembly new powers.

However, full cutoff fixtures may also trap more light in the fixture than other types of luminaires, corresponding to lower luminaire efficiency, suggesting a re-design of some luminaires may be necessary.

However, in the 11th century, the Pirqe de-Rabbi Eliezer, drawing on ancient legends of the fallen angel or angels, brought back to the mainstream of rabbinic thought the personification of evil and the corresponding myth.

However, appropriate symbols are easy to make by adding a lateral-fricative belt to the symbol for the corresponding lateral approximant ( see below ).

However no corresponding political liberalization has occurred as happened in eastern European countries.

However, creating more data to input to machine-learning systems simply requires a corresponding increase in the number of man-hours worked, generally without significant increases in the complexity of the annotation process.

The year is stated as the ninth year of Ptolemy V's reign ( equated with 197 / 196 BC ), and it is confirmed by naming four priests who officiated in that same year: Aëtus son of Aëtus was priest of the divine cults of Alexander the Great and the five Ptolemies down to Ptolemy V himself ; his three colleagues, named in turn in the inscription, led the worship of Berenice Euergetis ( wife of Ptolemy III ), Arsinoe Philadelpha ( wife and sister of Ptolemy II ) and Arsinoe Philopator, mother of Ptolemy V. However, a second date is also given in the Greek and hieroglyphic texts, corresponding to, the official anniversary of Ptolemy's coronation.

However, the downside of the real estate boom was a corresponding rise in the levels of personal debt ; as prospective homeowners had struggled to meet asking prices, the average level of household debt tripled in less than a decade.

However, this five races under one union principle and the corresponding flag were abandoned in 1927.

However, Hutchison also introduced interchange symbols ( circles for Underground-only, squares for connections with British Rail ) that were black and allowed multiple lines through them, as opposed to Beck who used one circle for each line at an interchange, coloured according to the corresponding line.

However, proportionality of corresponding sides is not by itself sufficient to prove similarity for polygons beyond triangles ( otherwise, for example, all rhombi would be similar ).

However, antennae, mandibles and oral papillae are probably not homologous to the corresponding features in arthropods, i. e., they probably developed independently.

However, because of the reduced mass, the frequencies associated with the spectral lines are less than half of those of the corresponding hydrogen lines.

However, the corresponding text will have the words “ failure ” and “ success ” swapped compared with the previous case.

However, no bio-defense solution seems to be able to compete with a simple reduction of import volumes, and its corresponding reduction in risk of any accidents.

However, if the random variable has an infinite but countable probability space ( i. e. corresponding to a die with infinite many faces ) the 1965 paper demonstrates that for a dense subset of priors the Bernstein-von Mises theorem is not applicable.

However, when we set corresponding coefficients equal in this case, the equation for x < sup > 3 </ sup > is

However, they are still far less compact than the corresponding representations in bases such as decimal — see below for a compact way to codify ternary using nonary and septemvigesimal.

However, since 7s shell completely does not participate, the VSEPR-predicted structure would be trigonal pyramidal ( AX < sub > 3 </ sub > E < sub > 1 </ sub >); UusF < sub > 3 </ sub > has, however, this structure not energetically favored, picking instead the trigonal planar structure ( corresponding to a formula of AX < sub > 3 </ sub >) up.

However, there are no built-in tamper protection mechanisms ( that is, users who can use the RCS tools to version a file also, by design, are able to directly manipulate the corresponding version control file ) and this is leading some security conscious administrators to consider client / server version control systems that restrict users ' ability to alter the version control files.

However, upon change of geometry, i. e., change of, the LCAO coefficients obtain different values and we see corresponding changes in the functional form of the MO.

However, when volunteers generously placed the interests of others before their own by making charitable donations, another brain circuit was selectively activated: the subgenual cortex / septal region.

However, if we look for the peoples in the region from the upper Main in the north, south to the Danube and east to the Czech Republic where the Quadi and Marcomanni were located, Ptolemy does not give any tribes.

However, Sargon took this process further, conquering many of the surrounding regions to create an empire that reached westward as far as the Mediterranean Sea and perhaps Cyprus ( Kaptara ); northward as far as the mountains ( a later Hittite text asserts he fought the Hattite king Nurdaggal of Burushanda, well into Anatolia ); eastward over Elam ; and as far south as Magan ( Oman ) — a region over which he reigned for purportedly 56 years, though only four " year-names " survive.

However, Amesbury in Wiltshire is in a different dialect region and does not easily fit into the pattern of the Midland dialect place names.

However, by the Archaic and Classical periods, the term ' Achaeans ' referred to inhabitants of the much smaller region of Achaea.

However, in the 17th and 18th centuries Bern encouraged industrial development in Unteraargau and by the late 18th century it was the most industrialized region in the city-state.

However, it was recovered on 27 August 1922, a key moment in the great Turkish counter-attack in the Aegean region.

However, the region is visited by more than 40, 000 tourists annually, the most popular destinations being the Antarctic Peninsula area ( especially the South Shetland Islands ) and South Georgia Island.

However, as occurred so often in this region, the demise in 1030 of this military genius who had expanded the empire to its farthest reaches was the death knell of the dynasty itself.

However, the growing influence of Latin began to drive Basque out from the less mountainous portions of the region.

However, it has not incorporated the general Eastern umlaut of all synchronic or even historic " ya " sounds into " e " before front vowels – e. g. поляна ( polyana ) vs полени ( poleni ) " meadow – meadows " or even жаба ( zhaba ) vs жеби ( zhebi ) " frog – frogs ", even though it co-occurs with the yat alternation in almost all Eastern dialects that have it ( except a few dialects along the yat border, e. g. in the Pleven region ).

However, certain physical phenomena can be modeled assuming the materials exist as a continuum, meaning the matter in the body is continuously distributed and fills the entire region of space it occupies.

However, metal electrode surfaces can cause a region of the vacuum to become conductive by injecting free electrons or ions through either field electron emission or thermionic emission.

However during the Orinoco's flood stage, that single, simply defined " origin of the canal " is turned into a region, and an entire strip along the southern bank of the Orinoco River.

However, many systems use a combination of approaches, including other techniques such as stack allocation and region inference.

However, in regions where the sylvatic habitat and its fauna are thinned by economic exploitation and human habitation, such as in newly deforested areas, piassava palm culture areas, and some parts of the Amazon region, a human transmission cycle may develop as the insects search for new food sources.

However, it was French explorer Jacques Cartier who made the first detailed reconnaissance of the region for a European power, and in so doing, claimed the region for the King of France.

However, for Young Religious Unitarian Universalists ( YRUU ) programming in Canada, the " Central " and " Eastern " regions are combined to form a youth region known as " QuOM " ( Quebec, Ontario and the Maritimes ), giving the youth only three regions for their activities.

However, once occupied by the Quito hosts of Huayna Capac ( 1593 – 1595 ), the Incas developed an extensive administration and began the colonization of the region.

However, the region where a partial eclipse can be observed is much larger.

However with the signing of the Treaty of Paris in 1814 the region was handed back to the French, though a Portuguese presence remained until 1817.

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, Presidents Álvaro Arzú and his successors Alfonso Portillo, Óscar Berger and Álvaro Colom, have used a constitutional clause to order the army on a temporary basis to support the police in response to a nationwide wave of violent crime product of the Mexican criminal organizations going across the north-west region.

However, it is not cooked in any other region of Greece.