Therefore, as Gauss knew, P satisfies a quadratic equation with integer coefficients.

Therefore, Weber was more interested in explaining how a certain outcome was the result of various historical processes rather than predicting an outcome of those processes in the future.

Therefore, Weber states that it was this difference in social attitudes and mentality, shaped by the respective, dominant religions, that contributed to the development of capitalism in the West and the absence of it in China.

Therefore, Weber states that it was this difference in social attitudes and mentality, shaped by the respective, dominant religions, that contributed to the development of capitalism in the West and the absence of it in China.

Therefore Weber, who is keenly aware of “ Ideal Type's ” fictional nature, states that the “ Ideal Type ” never seeks to claim its validity in terms of a reproduction of or a correspondence with social reality.

Therefore all of those who vote for either of the eliminated cities chose to vote for Nashville in the second round.

Therefore, like his father and his brothers, Grace chose a professional career in medicine, though because of his cricketing commitments he did not complete his qualification as a doctor until 1879 when he was 31 years old.

Therefore Leo chose a candidate on his own, Julius Nepos, Magister militum in Dalmatia and related to the Eastern Empress Verina.

Therefore Gaiseric freed Licinia Eudoxia ( thus fulfilling Daniel's prophesy ) and her daughter Placidia ( Olybrius ' wife ), but did not stop his raids on Italian's coasts, in order to press for the election of his candidate on the Western throne, but his project failed, because Ricimer, who had become the Magister militum of the West, chose Libius Severus as new Emperor ( 461 – 465 ).

Therefore, the Belgian separatists chose Rex Belgarum.

Therefore, following Odysseus's advice, her father Tyndareus made all suitors promise to defend Helen's marriage to the man he chose for her.

Therefore all the cities liked him, and when fought against Tissaphernes, all the cities chose to support Cyrus except Miletus.

Therefore, he chose to support himself on the Isaurian component of the army, in particular to strengthen his bond with the Isaurian generals and brothers Illus and Trocundes.

Therefore, the Greeks chose the simpler of the two explanations.

Therefore, they chose to name the street in anticipation of a courthouse being built.

Therefore, he often chose to remain separate from organizations and reform movements.

Therefore, an undetermined number of Republicans cast ballots in the open Democratic primary election and chose the candidate who they believed would most likely lose the general election to their nominee, Howard " Bo " Callaway.

Therefore, Tezuka chose to have Echizen as the reserve player, but kept in secret to see if he would change.

Therefore, it is clear that Congress was quite aware in 1924 that — had it desired to do so — it could have imposed a deadline upon the Child Labor Amendment and Congress simply chose not to do so.

Therefore, when his father and uncles chose to go to West Germany on permanent work instead of living in socialist Yugoslavia, while Anto, his mother and brother lived in Osijek, Croatia ever since 1962.

Therefore, most tried to emigrate to other British colonies whenever the opportunity arose, which reduced the white population to a small minority ; and most of the white population that chose to stay eked out, at best, a subsistence living.

Therefore, he chose this pen name to remind himself not to speak too much.

Therefore, which mate will the female chose?

Therefore, in strict legal terms, Northern Ireland left the United Kingdom for a brief period along with the rest of Ireland, but then chose to opt-out of the Free State and rejoin the Union.

Therefore they chose instead to define the regions, rather than the objects, defining the scattered disc as " the region of orbital space that can be visited by bodies that have encountered Neptune " within the radius of a Hill sphere, and the Kuiper belt as its " complement ... in the a > 30 AU region "; the region of the Solar System populated by objects with semi-major axes greater than 30 AU.

Therefore, while sequences do not encode sufficient information about functions between topological spaces, nets do because collections of open sets in topological spaces are much like directed sets in behaviour.

Therefore, compression algorithms often choose to delta encode only when the compression is better than without.

Therefore, the URN syntax provides a means to encode character data in a form that can be sent in existing protocols, transcribed on most keyboards, etc.

Therefore, instead of directly deleting and / or overexpressing the genes that encode for metabolic enzymes, the current focus is to target the regulatory networks in a cell to efficiently engineer the metabolism.

The first Cobra chassis was left hand drive and given the next letter in the alphabet, i. e. C. Therefore the numbers ran CSX2 ... for all the export Cobras.

Therefore, a constructed script is always informed by at least one older writing system, making it difficult in some cases to decide whether a new script is simply an adoption or a new creation ( for example the Cyrillic and the Gothic alphabets, which are nearly identical to the Greek alphabet but were nevertheless designed by individual authors ).

Therefore, the letter " Gamma " was chosen to be added since it is the third letter of the Greek alphabet, thus corresponding with the " C " in the Latin alphabet -- " C " being the initial of Christ.

Therefore the Slovak alphabet has 46 graphemes.

Therefore, this alphabet would provide a logic of invention, opposed to that of demonstration which was known so far.

Therefore, Self and Other are limited through a language of binary codes.

Therefore, if the list has more than a few elements, other methods ( such as binary search or hashing ) will be faster, but they also impose additional requirements.

Therefore, if more than one bit in the multi-bit pointer is changing at the sampling point, a " wrong " binary value ( neither new nor old ) can be propagated.

Therefore, algorithms that reduce the multi-class task to several binary problems have to be applied ; see the multi-class SVM section.

Therefore, very often some binary divisions are stressed, such as: professional — amateur, mass — top-level, active — passive / spectator, men — women, sports-play ( as an antithesis to organized and institutionalized activity ).

Therefore any significant amount of binary data ( e. g., file transfers ) is best transmitted out-of-band, using in-band messages to coordinate.

Therefore, if the priorities are independent random numbers ( from a distribution over a large enough space of possible priorities to ensure that two nodes are very unlikely to have the same priority ) then the shape of a treap has the same probability distribution as the shape of a random binary search tree, a search tree formed by inserting the nodes without rebalancing in a randomly chosen insertion order.

Therefore, their needs call for a streamlined client for quickly grabbing binary attachments, and without the extraneous clutter of text reading and posting features for which file downloaders have little use.

Therefore many binary oppositions are organised in a hierarchy.

Therefore even financial software today usually stores values in binary representation and only converts to decimal for input and output.

Therefore, code bloat generally refers to source code size ( as produced by the programmer ), but sometimes is used to refer instead to the generated code size or even the binary file size.