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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.
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Thus and while
Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.
Thus while his theory or technique may not be oversubscribed, it is commonplace for bullish and bearish positions to become temporarily over-subscribed.
Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.
Thus `` America '', the most widely sung of the patriotic songs, was written by a New England Baptist clergyman, Samuel Francis Smith ( 1808-1895 ), while a student in Andover Theological Seminary.
Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.
Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.
Thus, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.
Thus while among his own colleagues he seemed merely a hypocritical and arrogant priest, in his relations with his brother humanists, such as Cosimo de ' Medici, he appeared as the student of classical antiquities and especially of Greek theological authors ".
Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.
Thus while Athens was increasing her navy with the funds they contributed, a revolt always found itself without enough resources or experienced leaders for war.
Thus, on January 16, 1997, the Diamondbacks were officially voted into the National League while their expansion counterparts in Tampa Bay were voted into the American League.
Thus the use of abeyance provided the security of a settlement for the pro-life campus club, while preserving the student society's voting membership's ability to take the matter back to court should they choose in the future to deny resources to the club.
Thus, oil paint is said to be " oil-based ", while acrylic paint is " water-based " ( or sometimes " water-borne ").
Thus, an outdoors utility knife suited for camping or hunting might use a broad three to five-inch fixed blade, while a utility knife designed for the construction industry might feature a replaceable utility or razor blade for cutting packaging, cutting shingles, marking cut lines, or scraping paint.
Thus, while the book exhibits considerable unity and probably reflects much of the historic Ezekiel, it is the product of a long and complex history and does not necessarily preserve the very words of the prophet.
Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.
Thus natural languages are mainly oral, while Blissymbols is just a writing system dealing with semantics, not phonetics.
Thus one finds brass instruments made of wood, like the alphorn, the cornett, the serpent and the didgeridoo, while some woodwind instruments are made of brass, like the saxophone.
Thus, while Nozick's side-constraints are absolute restrictions on behavior, Amartya Sen proposes a theory that recognizes the importance of certain rules, but these rules are not absolute.
Thus sodium carbonate is basic, sodium bicarbonate is weakly basic, while carbon dioxide itself is a weak acid.
Thus, Leibniz ' argument is in esse, while Aquinas ' argument is both in fieri and in esse.
Thus the concept ' computable ' is in a certain definite sense ' absolute ', while practically all other familiar metamathematical concepts ( e. g. provable, definable, etc.
) Thus the alveolar click sounds something like a cork pulled from a bottle ( a low-pitch pop ), at least in Xhosa ; while the dental click is like English tsk!
Thus, while values above one are common for newborns, the ratio dwindles until it is well below one for the older population.
Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.
Thus and probability
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 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 he stressed the probability of finding particles in the phase space, each state having volume h < sup > 3 </ sup >, and discarding the distinct position and momentum of the particles.
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 ).
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