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Page "Spherical harmonics" ¶ 22
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Finally and equation
Finally, the reaction is balanced by multiplying the number of electrons from the reduction half reaction to oxidation half reaction and vice versa and adding both half reactions, thus solving the equation.
Finally, Nernst divided through by the amount of charge transferred to arrive at a new equation which now bears his name:
Finally, the last equation tells us that a < sub > 1 </ sub > is also − 1.
Finally, we may " cancel out " the numbers 1, 2, ..., p − 1 from both sides of this equation, obtaining
Finally, a transport equation, usually of heat ( sometimes of light element concentration ):
Finally Niels Henrik Abel proved, in 1824, that the equation of degree 5 and equations of higher degree are not always solvable using radicals.
Finally, multiplying throughout the equation by-1, the equation turns into:
Finally, in some constructions, it is the equation between cleft clause and cleft constituent that brings about the newsworthy information, rather than any of the elements of the cleft themselves ( Lambrecht 2001 ).
Finally, we have the geodesic equation
Finally reaching a point where he finds no real meaning in life, Rhino hands Spider-Man, having deduced his identity via an equation he developed that allows him to calculate the secret identities of superheroes, information with which he can bring down Rhino's crime empire.
Finally, inserting this relation in the response equation for the KS system and comparing
Finally, split and the equation into their real and imaginary parts to obtain the forms quoted above.
Finally, it is important to realize that Lighthill's equation is exact in the sense that no approximations of any kind have been made in its derivation.
Finally, if d > b then the points ± d are still solutions to the Cartesian equation of the curve, but the curve does not cross these points and they are acnodes.

Finally and for
Finally, Mama did mention to Mrs. Coolidge that she felt sorry for the little dogs, and then Mrs. Coolidge decided to leave the radio on for them while she was gone, even though her husband disapproved of the waste of electricity.
Finally we got them out of the house, after the boy had run away four times looking for other Nazis, threatening to murder village schoolchildren and bragging that he was to be the next Fuhrer.
Finally, colleges and clubs took the line that speakers from England were not wanted any longer, even speakers like S.K., so unlike the novelists and poets who had patronized the Americans for many years.
`` Finally, all I needed was to throw a little piece of red wood that looked like a firecracker and that dumb dog would run ki-yi-ing for his life ''.
Finally, at Ye Olde Gasse Filling Station on Avocado Avenue, they learned that their man, having paused to get oil for his car, had asked about the route to San Diego.
Finally, information is retrieved from the dictionary as required by stages of the translation process -- the grammatical description for sentence-structure determination, equivalent-choice information for semantic analysis, and target-language equivalents for output construction.
Finally, since the public requires some restraint on the part of the companies, larger wage increases call for less than proportionately larger price increases ( e.g., if a wage increase of 5% allows a price increase of 7%, a wage increase of 10% allows a price increase of something less than 14% ).
Finally he reported that Nasser was ready to make a concrete commitment in return for Israeli concessions.
Finally, there was a wide area of agreement on the value of the President's making a final effort in the summit spotlight for a nuclear test accord.
Finally, it did seem clear as day to these clergymen, as Gannett's son explained in the biography of his father, they had always contended for the propriety of their claim to the title of Christians.
Finally, just as no different issues are posed for thoughtful analysis by the foreshortening of time that may yet pass before the end of human life on this earth, but only stimulation and alarm to the imagination, the same thing must be said in connection with the question of what we may perhaps already be doing, by human action, to accelerate this end.
Finally, the prologue to Britten's Serenade for Tenor, Horn and Strings, played on horn without the use of valves but equally suited to the alphorn, is a beautiful, inspired example of the lyric possibilities of natural harmonics.
Second … it offered a solution to the unemployment for the former samurai class … Finally, development promised to yield the needed natural resources for a growing capitalist economy .’
Finally, they traded Casey Fossum to the Tampa Bay Devil Rays for José Cruz, Jr.
Finally a replacement for the aging Z80 processor was being developed in the form of an Intel 8086 board, and additional 512K 16 bit memory boards.
Finally, the agitation for and against the liberal ideas brought about a schism in the entire Jewish population in southern France and Spain.
Finally, dropping prices of home computers like the Commodore 64 had caused many to believe that buying a home computer was a better investment because it provided more detailed gameplay and could be used for other purposes such as word processing.
Finally, a third reason was long-term air support for areas with a low threat level ( Iraq, Afghanistan ).
Finally in 1992, President Fernando Henrique Cardoso, then candidate to the Presidency, declared that in its plan of government the quarrel for creation of the Ministry of Defense was foreseen.
Finally, for 1950 only, runners would be credited with a stolen base if they were " well advanced " toward the base they were attempting to steal ", and the pitcher is charged with a balk, with the further exception of a player attempting to steal, who would otherwise have been forced to advance on the balk by a runner behind them.
Finally, some archaeologists consider broch sites individually, doubting that there ever was a single common purpose for which every broch was constructed.

Finally and R
Finally, one can use the norm to define a metric ( or distance function ) on R < sup > n </ sup > by
Second is the mass – luminosity relation, which relates the luminosity L and the mass M. Finally, the relationship between M and R is close to linear.
Finally if G is a divisible group and R is a real closed field, then R (( G )) is a real closed field, and if R is algebraically closed, then so is R (( G )).
Finally, on June 15, 1874, the board accepted the suggestion of pioneer settler R. W. Moberly that the township be named after Olney, Illinois, county seat of Richland County, Illinois.
Finally released in June 2003, After the Storm debuted at number one on Billboard ` s Top R & B / Hip-Hop albums chart, and on top of the official Billboard 200, with sales of 186, 000 copies emerging as Monica's first and only number-one album to date.
# Finally, yet another equivalent definition is the set of equivalence classes of R < sup > 3 </ sup >
Finally, on February 18, 1935, the Supreme Court held in Norman v. Baltimore & Ohio R. Co., 294 U. S. 240 ( 1935 ), that the government had the power to abrogate private contracts but not public ones.
Dorothy and the Wizard in Oz: A Faithful Record of Their Amazing Adventures in an Underground World ; and How with the Aid of Their Friends Zeb Hugson, Eureka the Kitten, and Jim the Cab-Horse, They Finally Reached the Wonderful Land of Oz is the fourth book set in the Land of Oz written by L. Frank Baum and illustrated by John R. Neill.
Finally on September 26, 1943, the President announced the resignation of Welles and the appointment of Edward R. Stettinius as the new Under-Secretary of State.
He had two more R & B top ten singles during the 1980s including the Patti LaBelle duet, " Love Has Finally Come at Last " and " I Wish He Didn't Trust Me So Much ".
Finally, Brian Vollmer published his autobiography, Gimme An R, in December 2005.
Finally, in 1988, astronomer R. A. Fesen and others using the 4-meter Mayall telescope at Kitt Peak discovered the iron-rich remnant of the explosion.
Finally, the X-tree can be seen as a R *- tree variant that can also decide to not split a node, but construct a so-called super-node containing all the extra entries, when it doesn't find a good split ( in particular for high-dimensional data ).
Finally released on August 23, 2011, The R. E. D.
Finally, in the 1980s the first part was translated by Marion Faber and completely translated by R. J. Hollingdale the same decade.
Finally, " R. Gatineau " appears on the chart of William Henderson in 1831, and on the one of Thomas Guesses, in 1861.
Finally, J. R. drove a facelifted W126 560SEL beginning the 1986 season.
Finally, D is defined: a D b if and only if there exists a c in S such that a L c and c R b. In the language of lattices, D is the join of L and R. ( The join for equivalence relations is normally more difficult to define, but is simplified in this case by the fact that a L c and c R b for some c if and only if a R d and d L b for some d .)

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