Thus, the most productive areas are not necessarily the most stressed.

Thus, some modern historians have stressed the critical and incendiary role that militant preachers played in shaping ordinary lay beliefs, both Catholic and Protestant.

Thus one can become used to an intense life, or television, and suffer withdrawal when they are removed, from lack of stimulation, and it is possible to also be unhappy and stressed due to additional abnormal stimulation.

Thus the importance of health promotion and disease prevention — informed by the political-economic and social determinants of health — is stressed, over a merely reactive treatment of health problems as they occur.

Thus he was an anti-Normanist who stressed the Slavic origins of Rus ', put the emphasis upon internal discord as the primary reason for the fall of Kievan Rus ', and emphasized the native Ukrainian ethnic makeup and origins of the Ukrainian Cossacks.

Thus, Ivan Bilodid ( 1972 ), Mykhaylo Zhovtobryukh ( 1976 ), and Vasyl Nimchuk ( 1985 ) have stressed Ukrainian features of his language, whereas Aleksandr Sobolevskiy ( 1906 ), Vatroslav Jagić ( 1907 ), James Dingley ( 1972 ) and Yuriy Shevelov ( 1979 ) have pointed out its Belarusian aspects.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus, if is the total number of trials and is the number of trials where the event occurred, the probability of the event occurring will be approximated by the relative frequency as follows:

Thus, while the probability might be extremely small that any particular universe would have the requisite conditions for life ( as we understand life ) to emerge and evolve, this does not require intelligent design per the teleological argument as the only explanation for the conditions in the Universe that promote our existence in it.

Thus, while the outcome of any particular hand significantly involves chance, the long-run expectations of the players are determined by their actions chosen on the basis of probability, psychology and game theory.

Thus talk about physical probability makes sense only when dealing with well defined random experiments.

Thus, measuring a quantum state described by complex coefficients ( a, b ,..., h ) gives the classical probability distribution and we say that the quantum state " collapses " to a classical state as a result of making the measurement.

) Thus the asymptotic probability that s numbers are coprime is given by a product over all primes,

Thus, for Agricola, dialectic was an open field ; the art of finding ' whatever can be said with any degree of probability on any subject ' ( Hamilton, David.

Thus, this would let light of the right frequency to make this happen sum to a larger probability amplitude, and as such possess a larger probability of reaching the appropriate final point.

Thus if n is a large even integer and m is a number between 3 and n / 2, then one might expect the probability of m and n − m simultaneously being prime to be.

Thus the probability of failure,, is given by

Thus, the Trinity River of today was, in all probability, known as the Arkokisac River.

Thus, the conditional probability distribution is:

A loss which exceeds the VaR threshold is termed a “ VaR break .” Thus, VaR is a piece of jargon favored in the financial world for a percentile of the predictive probability distribution for the size of a future financial loss.

Thus, it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions.

Thus, each row ( or column ) of a stochastic matrix is a probability vector, which are sometimes called stochastic vectors.

Thus a possible diagnostic outcome would be that all tosses yield the same outcome, and the probability of 5 of a kind is 6 % under the null hypothesis.

Thus whatever the probability of an aftershock are on the first day, the second day will have 1 / 2 the probability of the first day and the tenth day will have approximately 1 / 10 the probability of the first day ( when p is equal to 1 ).

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

Thus, computing includes designing and building hardware and software systems for a wide range of purposes ; processing, structuring, and managing various kinds of information ; doing scientific studies using computers ; making computer systems behave intelligently ; creating and using communications and entertainment media ; finding and gathering information relevant to any particular purpose, and so on.

Thus, for example, in the ( still used ) local North American subdivision paleontologist finding fragments of the trilobite Olenellus would identify the beds as being from the Waucoban Stage whereas fragments of a later trilobite such as Elrathia would identify the stage as Albertan.

Thus, finding any evidence of extraterrestrial life similar to ours would lend credibility to exogenesis.

Thus, in evaluating a collision between two vehicles, the court must not only make a finding that both drivers were negligent, but it must also apportion the contribution made by each driver as a percentage, e. g. that the blame between the drivers is 20 % attributable to the plaintiff / claimant: 80 % to the defendant.

Thus, the gameplay centers on Keen finding and rescuing the eight elders.

Thus, finding the virus by various methods in the dog's conjunctival cells gives a definitive diagnosis.

In one direction, the Hamiltonian path problem for graph G is equivalent to the Hamiltonian cycle problem in a graph H obtained from G by adding a new vertex and connecting it to all vertices of G. Thus, finding a Hamiltonian path cannot be significantly slower ( in the worst case, as a function of the number of vertices ) than finding a Hamiltonian cycle.

Thus, Aronson reinterpreted the findings of the original Festinger and Carlsmith study using the induced-compliance paradigm, stating that the dissonance was between the cognition, " I am an honest person " and the cognition, " I lied to someone about finding the task interesting.

Thus, Pyrrhonian achieves ataraxia not by finding certain knowledge, but rather by suspending judgment on whether not finding certain knowledge is an inherently bad thing in the first place ( as was assumed previously ).

Thus, the sustainable management requires finding out what business activities fit into the Earth ’ s carrying capacity, and also defining the optimal levels of those activities.

In such cases, the family relationship between two distant family members A and C can often be demonstrated by finding an additional family member B that shares significant similarity with both A and C. Thus, B provides a connecting link between A and C. Another approach is to examine distant alignments for highly conserved matches.

Thus, they declare the Second Foundation destroyed after finding the roughly 50 mentalist agents on Terminus, and are content to forget the matter.

Thus a yeast cell, finding itself in a sugar solution, will turn on genes to make enzymes that process the sugar to alcohol.

Thus the main task in determining V is finding the number of interior vertices.

Thus, concluding that currently there is no exact method for finding the true origin of mirror writing.

Thus, in 1972 Erskine Hamilton Childers started the process of finding an official biographer.

Thus, people attribute success to themselves when they expect it and take actions to achieve it, while finding external causes for the failure.

Thus, the U. S. strike force returned to their carriers without finding or attacking the Japanese warships.

Thus eigenvalue algorithms that work by finding the roots of the characteristic polynomial can be ill-conditioned even when the problem is not.

Thus, the first essential component of knowledge engineering is a large “ knowledge base .” Dendral has specific knowledge about the mass spectrometry technique, a large amount of information that forms the basis of chemistry and graph theory, and information that might be helpful in finding the solution of a particular chemical structure elucidation problem.