Therefore, under independent voting, Af or 0.36 of the couples would cast two votes for picture A, and Af or 0.16 would cast two votes for picture B.

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, Hong Kong continues to play an active role in the international arena and maintains close contact with its international partners. Furthermore, Hong Kong continues to be an active, independent member of the World Trade Organization ( WTO ) and the Asia-Pacific Economic Cooperation ( APEC ) forum in the name of Hong Kong, China.

Therefore, with British permission, the Va ' ad raised its own taxes and ran independent services for the Jewish population.

Therefore, he stands third in the line of succession to the thrones of sixteen independent sovereign states known as the Commonwealth realms, and to the governorship of the Church of England, preceded by his father and elder brother, Prince William, Duke of Cambridge.

Therefore, when a merger with a controlling stockholder was: 1 ) negotiated and approved by a special committee of independent directors ; and 2 ) conditioned on an affirmative vote of a majority of the minority stockholders, the business judgment standard of review should presumptively apply, and any plaintiff ought to have to plead particularized facts that, if true, support an inference that, despite the facially fair process, the merger was tainted because of fiduciary wrongdoing .″

Therefore, the generals all hesitated and could not make independent decisions.

Therefore, if P ( A ') can be described as 23 independent events, P ( A < nowiki >'</ nowiki >) could be calculated as P ( 1 ) × P ( 2 ) × P ( 3 ) × ... × P ( 23 ).

Therefore, an independent purely ' objective ' reality could never be experienced.

Therefore, it is likely that she was never an independent deity, but was created as his female counterpart.

Therefore, the northern necks declared themselves ' an entire separate and independent beat or district.

Therefore it was decreed in the Order about the area settlement around the Hermann-Göring-Werke Salzgitter, effective from 1 April 1942, to form a unified city district ( independent city ).

Therefore, we don't have a vigilant, independent press whose interest is the American people.

Therefore, it is different from its predecessors of Cartesian dualism ( advocating independent mental and physical substances ) and Skinnerian behaviourism and physicalism ( declaring only physical substances ) because it is only concerned with the effective functions of the brain, through its organization or its ‘ software programs ’.

Therefore, error or variance in the criterion is not independent of the predictor variable ( s ).

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 Latvia was proclaimed a fully independent nation whose judicial foundation stemmed back to the statehood that existed before the occupation on June 17, 1940.

Therefore, is linearly independent and indeed a basis of image T. This proves that the dimension of image T is n, as desired.

Therefore, the column vectors of constitute a set of linearly independent solutions for.

Therefore, even if Iran becomes the most peaceful, secular and progressive, yet still independent state on the planet, the U. S. would be unable to tolerate it.

Therefore sometimes redox indicators are also divided into two general groups: independent or dependent on pH.

Therefore, the first Number of the ratio completely loses its independent significance and only functions as a determinate Quantum in relation to an other.

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, “ for the Protection of its special interests … in the free water of the Persian Gulf and on the borders belonging to the independent Shaykhs from the south of al-Qatar up to the Indian Ocean ,” the British were able to continue exercising, as in the past, the following measures ( Article 16 ):

Therefore it is Excellent in the beginning ( Sīla — Moral principles ), Excellent in the middle ( Samadhi — Concentration ) and Excellent in the end ( Pańña — Wisdom ).

Therefore, one should teach principles, not facts.

" Therefore in this early period it was Wycliffe who recognised and formulated one of the two major formal principles of the Reformation — the unique authority of the Bible for the belief and life of the Christian.

Therefore any judgements would not be taken according to the influence of politics but the principles and rules of law i. e. the judiciary is subject only to law.

Therefore, one should teach principles, not facts.

Therefore it is only suitable as a medium for the Socratic method where the principles are known by teachers and likely to be known by students.

Therefore, the question of whether the treaties are void depends on the question of whether NATO's use of force was in violation of the principles of the United Nations.

“ Therefore, the committee desires to express to the public as its firm belief that both the public and the employees aforesaid have equitable rights and interests in the said mill which cannot be modified or diverted without due process of law ; that the employees have the right to continuous employment in the said mill during efficiency and good behavior without regard to religious, political or economic opinions or associations ; that it is against public policy and subversive of the fundamental principles of American liberty that a whole community of workers should be denied employment or suffer any other social detriment on account of membership in a church, a political party or a trade union ; that it is our duty as American citizens to resist by every legal and ordinary means the unconstitutional, anarchic and revolutionary policy of the Carnegie Company, which seems to evince a contempt public and private interests and a disdain the public conscience.

" Therefore the Charter of Fundamental Rights of the European Union has become an integral part of European Union law, codifying the fundamental rights which were previously considered general principles of European Union law.

Therefore, many of those who learn TRIZ or have attended seminars are taught quite wrongly that TRIZ is primarily composed of the 40 principles and contradiction matrix, the truth is ARIZ is the core methodology of TRIZ.

Heb 6: 1 Therefore leaving the principles of the doctrine of Christ, let us go on unto perfection ; not laying again the foundation of repentance from dead works, and of faith toward God,

Therefore, we affirm that every slaveholder is a man-stealer … To steal a man is to rob him of himself .” She reiterates well-known principles from the Declaration of Independence regarding the equality of man.

Therefore designing sites in accordance with Web accessibility principles helps enable meaningful access for all users.

Therefore, the fact that Islam is the religion of Malaysia does not by itself import Islamic principles into the Constitution but it does contain a number of specific Islamic features:

Therefore, systems engineers have long used the principles of the design of experiments.

" Therefore, one of his fundamental principles of halakhic ruling is that lenient rulings should be preferred over chumra.

Therefore, based on the principles of fluid dynamics, in a tube of cross sectional area, A, and an average fluid velocity, u, the volume flow rate is given by the equation:

Therefore the same principles of attribution that govern the one hold good also for the other.

Therefore it is believed that the requirement of four witnesses ( with all its restrictions and specifications ) is considered a merciful measure from God in order to not only avoid incriminating innocent people, but also to preserve the privacy of Muslims, which is one of the most valued principles in Islam.

Therefore a very simplified model can be created providing a general idea and understanding of the basic physical principles behind these aspects of sloped armour design.

Therefore, although the principles of BIS and other monitors are well known, the exact method in each case is not.

Therefore, the development of human resource must be focused on the principles of tauhid and good behaviour without ignoring standing of intellectuality.

Therefore, this model argues that principles or cues may be present from the onset of word learning, but the use of a wide range of cues develops over time.

Therefore, FYC faculty may have a particular, invested interest in identifying the principles and practices of e-portfolio development that prioritize student learning.