Therefore a small village settlement likely constituted a social community, and spatial subdivisions of cities and other large settlements may have formed communities.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

Therefore, the meteorite must have formed in the solar nebula before the < sup > 26 </ sup > Al had decayed.

Therefore, negotiations were hurriedly carried out, and an alliance was formed between Adrian and Manuel.

Therefore significant amounts of heavier elements are not formed during stable periods of massive star evolution, but are formed in supernova explosions.

Therefore he formed his " talking cure ", not on the basis that soldiers were repressing sexual urges, but rather their fear pertaining to their war experiences.

Therefore, a comprehensive graduate education structure is formed with disciplines in humanities, law, sciences, engineering, medicine and management.

Therefore, a Great Coalition of parties formed in order to reform the political system.

Therefore two kingdoms were formed, one a vassal of Rome and the other, of Persia.

: Therefore the plots which had previously been formed separately, often by groups of two or three, were united in a general conspiracy, since even the populace no longer were pleased with present conditions, but both secretly and openly rebelled at his tyranny and cried out for defenders of their liberty.

Therefore, reactions such as the S < sub > N </ sub > 1 reaction and the E1 elimination reaction normally do not occur if a primary carbocation would be formed.

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, based on this study, a new model was formed that highlights that consequences play a very large role in the formation of flashbulb memories.

Therefore, in 1920, he worked to prevent a split between supporters and opponents of the Russian Revolution, but the radicals seceded, taking L ' Humanité with them, and formed the SFIC.

Therefore, the Independent Pilots Association Foundation, or IPA Foundation, was officially formed in late 1993.

Therefore they formed a group of their own, initially named Combat Communiste.

Therefore, as of 2008, there were nineteen regencies and only one autonomous city ( Kupang ) in the province ; a further regency-Sabu Raijua ( comprising the Savu Islands group )-was formed in 2010 from part of the remaining Kupang Regency.

Therefore, we can decompose each polygon of our subdivision in triangles, and restrict our data structure to the case of subdivisions formed exclusively by triangles.

Therefore, in the Maldives, islands are constantly eroding and constantly being formed.

Therefore, having been composed by Sameness, Difference and Existence ( their mean ), and formed in right proportions, the soul declares the sameness or difference of every object it meets: when it is a sensible object, the inner circle of the Diverse transmit its movement to the soul, where opinions arise, but when it is an intellectual object, the circle of the Same turns perfectly round and true knowledge arises ( 37a-c ).

Therefore, an octahedral number also represents the number of points in a square pyramid formed by stacking centered squares ; for this reason, in his book Arithmeticorum libri duo ( 1575 ), Francesco Maurolico called these numbers " pyramides quadratae secundae ".

Therefore, the Township of the Archipelago was formed on April 1, 1980, when the townships of Georgian Bay South Archipelago and Georgian Bay North Archipelago merged.

The corresponding set K of vertices in G ( the vertices whose expanded cliques in G * intersect K *) is a clique in G with the property that it intersects every maximum independent set in G. Therefore, the graph formed from G by removing K has clique cover number at most one less than the clique number of G, and independence number at least one less than the independence number of G, and the result follows by induction on this number.

Therefore, article 148 of the Constitution could not be enforced and under article 149, a Provisional government was formed with a senior member of the Cour de Cassasion.

Therefore, as outlined in the example above, neither the EPR experiment nor any quantum experiment demonstrates that faster-than-light signaling is possible.

Therefore, the energy eigenstates may be classified by two angular momentum quantum numbers, ℓ and m ( both are integers ).

Therefore, any eigenstate of the electron in the hydrogen atom is described fully by four quantum numbers.

Therefore, its quantum state can be represented as a wave of arbitrary shape and extending over space as a wave function.

Therefore the entropy of a quantum system with density matrix is

All known elementary particles, including quarks, have charges that are integer multiples of e. Therefore, one can say that the " quantum of charge " is e. In this case, one says that the " elementary charge " is three times as large as the " quantum of charge ".

On the other hand, all isolatable particles have charges that are integer multiples of e. ( Quarks cannot be isolated, except in combinations like protons that have total charges that are integer multiples of e .) Therefore, one can say that the " quantum of charge " is e, with the proviso that quarks are not to be included.

Therefore one can interpret the quantum noise of a coherent state as being due to the vacuum fluctuations.

Therefore, it can be demonstrated with mathematical precision that Human beings impose a remarkable set of quantum stresses upon their home continuum, resulting in a near-inifinity of timelines for their world-all equally real.

Therefore, any of the developing theories of quantum gravity may improve our understanding of quantum foam as they are tested.

Therefore, there are two degenerate quantum states for every value of ( corresponding to ).

Therefore, the equations for the first three quantum numbers are all interrelated.

Therefore, the equations for the first three quantum numbers are all interrelated.

Therefore, the equations for the first three quantum numbers are all interrelated.

Therefore the coupling constant is a dynamical variable in string theory, unlike the case of quantum field theory where it is constant.

Therefore, problems in quantum mechanics center around the analysis of the wave function for a system.

Therefore, they discounted the possibilities of either two radical cations reacting with each other, or two radicals reacting with each other, “ because the chloride ions at the surface of the crystal would prevent the radical cations or radicals from assuming positions suitable for dimerization .” Second, using 3-methylthiophene as a prototypical monomer, they performed quantum mechanical calculations to determine the energies and the total atomic charges on the carbon atoms of the four possible polymerization species ( neutral 3-methylthiophene, the radical cation, the radical on carbon 2, and the radical on carbon 5 ).

Therefore, RHIC collisions might be described by mathematics relevant to theories of quantum gravity within AdS / CFT, but the described physical phenomena are not the same.