Finally, the Institute also organizes a number of summer schools, conferences, workshops, public lectures, and outreach activities aimed primarily at junior mathematicians ( from the high school to postdoctoral level ).

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, it is a basic tool for proving theorems in modern number theory, such as Lagrange's four-square theorem and the fundamental theorem of arithmetic ( unique factorization ).

Finally, colonizing other parts of the Solar System would prevent the whole human species from being exterminated by any one of a number of possible events ( see Human extinction ).

Finally, the city of Mainz was sacked in 1462, driving many ( including a number of printers and punch cutters ) into exile.

Finally, in July 2004, the Medical Journal of Australia reported that Cade's 1949 article, " Lithium salts in the treatment of psychotic excitement ", was the number one most cited MJA article.

Finally, 32 proportional representation ( PR ) seats are assigned according to national votes to the party or coalition in relation to the total number of votes obtained nationally.

Finally, the number of molecular orbitals that form must equal the number of atomic orbitals in the atoms being combined to form the molecule.

Finally, the territorial Congress is allowed to pass statutes that are derogatory to French law in a certain number of areas.

Finally, the relative frequency of straights versus three of a kind is also sensitive to the deck composition ( and to the number of cards dealt ), so some places may consider three of a kind to be superior to a straight, but the difference is small enough that this complication is not necessary for most games.

Finally, the skyrocketing price of soybeans and cotton led farmers to quadruple the number of hectares planted with these two crops.

Finally, the temperature gets high enough that any nucleus can be partially broken down, most commonly releasing an alpha particle ( helium nucleus ) which immediately fuses with another nucleus, so that several nuclei are effectively rearranged into a smaller number of heavier nuclei, with net release of energy because the addition of fragments to nuclei exceeds the energy required to break them off the parent nuclei.

Finally the mound springs of the Great Artesian Basin are important habitat for a number of plants, fish, snails and other invertebrates.

Finally, it is necessary to consider the extent, or the number of people affected by the action.

Finally, the Beijing Games saw the emergence of China as a major sports power, with the highest number of titles for the first time.

Finally, as with other popular liquors, there exist a number of shot-related drinking games and " stunt " drinks such as body shots.

Finally, a large number of small poles, or a flat wooden board, will be required for the deck.

Finally, ontological reductionism is the belief that reality is composed of a minimum number of kinds of entities or substances.

Finally, each province comprises a number of municipalities.

Finally, the act imposed a number of procedural and substantive standards that unions and employers must meet before they may use employer funds to provide pensions and other employee benefit to unionized employees.

Finally, in the 1990s the overall price of the American stock market increased, which reduced the number of situations in which a company's share price was low with respect to the assets that it controlled.

Finally, the voortrekkers migrated further north and established a number of smaller republics across the Vaal river, in the area known as the Transvaal, later to be united as the Zuid Afrikaanse Republiek ( South African Republic ), or ZAR.

Finally, on April 20, 2003, the song rose and peaked at number 24.

Finally, they assure that the proceedings have a number of witnesses.

Finally, although Dio states that Crassus was voted a Triumph in Rome by the Senate, there is no evidence in inscriptions of that year ( 27 BC ) that it was actually celebrated.

Finally the marginal inscriptions were added to the four sides of the sheet using a separate roller and the plate hardened ready for use in production.

Finally there are abecedaria and nonsense inscriptions, though these are largely confined to black-figure pots.

Finally it was Otto Jahn's 1854 catalogue Vasensammlung of the Pinakothek, Munich, that set the standard for the scientific description of Greek pottery, recording the shapes and inscriptions with a previously unseen fastidousness.

Finally a third, more plausible explanation claims that the tortellini reproduce the shape of a turtle in an effort to replicate the famous architectural features of Modena, where many 17th-century buildings allude to the turtle motif.

Finally, eyewitnesses were able to describe the chupacabras.

Finally in 1985, at the first Umami International Symposium in Hawaii, the term umami was officially recognized as the scientific term to describe the taste of glutamates and nucleotides.

Finally, note that for some idealized geometries, the critical mass might formally be infinite, and other parameters are used to describe criticality.

Finally, Artaud used the term to describe his philosophical views, which will be outlined in the following section.

Finally, Kenneth Kitchen rejects the term co-regency to describe the relationship between Seti I and Ramesses II ; he describes the earliest phase of Ramesses II's career as a " prince regency " where the young Ramesses enjoyed all the trappings of royalty including the use of a royal titulary and harem but did not count his regnal years until after his father's death.

Finally, it offers some caveats that describe in general terms how this non-technical explanation fails to capture the full detail of the concept that is found in the mathematics.

Finally, in the broadest sense, it could be used to describe all those who spoke languages of the East Greek group, which included Attic.

Finally it may describe an entirely imaginary and non-existing work of art, as though it were factual and existed in reality.

Finally, out is also often used to describe motion along a linear path where the containing landmark is implied and not defined at all:

Finally, Cook and Lewandowsky describe studies that people abhor incomplete explanations – the two write " In the absence of a better explanation, opt for the wrong explanation ".

Finally, a third view is that the term " Arab Jew " has a certain legitimacy, but should only describe the Jewish communities of Arabia itself, such as the Banu Qaynuqa of the time of Muhammad and, possibly, the Yemenite Jews: see Arab Jewish tribes.

Finally, without half-time there would be no occasion to use one of the most enduring clichés to describe football: that " it's a game of two halves.

Finally, the NMS report must describe the adequacy of capabilities — the “ means ”— required to achieve objectives within an acceptable level of military and strategic risk.

Finally, the term was initially proposed to describe the low blood oxygen seen at high altitude and, had a general, non-technical definition-a defective oxygenation of the blood Current dictionaries and web sites track the original definition, generally defining the term as insufficient oxygenation of the ( arterial ) blood.