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Thus, a ' square ' is a member of both the genus ' rectangle ' and the genus ' rhombus '.
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Thus and square
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 all differences were leveled, and all contrasts erased, in a realm of no distinction, and the harmonious balance of the Lo Shu square could effectively symbolize the world in balanced harmony around a powerful central axis.
Thus areas can be measured in square metres ( m < sup > 2 </ sup >), square centimetres ( cm < sup > 2 </ sup >), square millimetres ( mm < sup > 2 </ sup >), square kilometres ( km < sup > 2 </ sup >), square feet ( ft < sup > 2 </ sup >), square yards ( yd < sup > 2 </ sup >), square miles ( mi < sup > 2 </ sup >), and so forth.
Thus, a square and a circle are homeomorphic to each other, but a sphere and a donut are not.
Thus, degree of dissociation of a weak electrolyte is proportional to the square root of dilution.
Thus, sunlight's composition at ground level, per square meter, with the sun at the zenith, is about 527 watts of infrared radiation, 445 watts of visible light, and 32 watts of ultraviolet radiation.
Thus the secular power of the Bishop of Rome, i. e., the Pope, was reduced to one square mile, the smallest sovereign nation on earth ( as a result of the 1929 Lateran Treaty which established a Concordat between Vatican City and the nation of Italy ).
Thus the strength of the field is inversely proportional to the square of the distance from the source.
Thus, each square has a unique identification of file letter followed by rank number.
Thus a square has four axes of symmetry, because there are four different ways to fold it and have the edges all match.
Thus, 1 indicates the first black square from the left ( a1 in algebraic notation ), 2 indicates the second black square from the left ( c1 ), 3 indicates the third ( e1 ), and 4 indicates the fourth ( g1 ).
Thus, to have equal kinetic energies, the velocities of two different molecules would have to be in inverse proportion to the square roots of their masses.
Thus, the `` square root " may be omitted from these equations with no expected difference in the results of optimization.
Thus she had the baby in a pavilion tent in the market square of the town, and invited the town matrons to witness the birth.
:* Thus, rural areas comprise open country and settlements with fewer than 2, 500 residents ; areas designated as rural can have population densities as high as 999 per square mile or as low as 1 person per square mile.
Thus and is
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
Thus jazz is transmuted into something holy, the sacred road to integration of being.
Thus the fictional detective is much more than a simple businessman.
Thus the cocktail party would appear to be the ideal system, but there is one weakness.
Thus in both types attention is focused on the community itself, and its phenomenological life.
Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.
Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.
Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.
Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.
Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.
Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.
Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.
Thus there is a clearer division of authority, administrative and legislative.
Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.
Thus, the need for the B-70 as a strategic weapon system is doubtful.
Thus technical efficiency is achieved at the expense of actual experience.
Thus, there is an added incentive to stay on the job.
Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.
Thus T is not diagonalizable.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.
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 we do not score the number of bull's-eyes, and the random variable is not the number of successes.
Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.
Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.
Thus and member
Thus the member of an industrial union comes to regard his officers as business agents who may proceed without interference or recall ; ;
Thus the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).
Thus Alexios Angelos was a member of the extended imperial family.
Thus, for an American to say that he or she is a member of the Democratic or Republican party, is quite different from a Briton's stating that he or she is a member of the Conservative or Labour party.
Thus, Zurich became the fifth member of the Confederacy, which was at that time a loose confederation of de facto independent states.
Thus the identifier " Model T " identifies the class ( model ) of automobiles that Ford's Model T comprises ; whereas the unique identifier " Model T Serial Number 159, 862 " identifies one specific member of that class — that is, one particular Model T car, owned by one specific person.
Thus, the Postmaster General is no longer a member of the Cabinet and is no longer in Presidential succession.
Thus, Afghanistan's foreign minister commented that Afghanistan was a democratic but not yet socialist republic, while a member of the People's Democratic Party of Afghanistan's Politburo predicted that " Afghanistan will not see socialism in my lifetime " in an interview with a British journalist in 1981.
Thus Jonathan becomes the first member of his family to achieve appointment as High Priest.
Thus if S. tchadensis is an ancestral relative of the chimpanzees ( or gorillas ) then it represents the first known member of their lineage.
Thus, the responsibility for instituting a new and comprehensive National Health Service, as well as tackling the country's severe post-war housing shortage, fell to the youngest member of Attlee's Cabinet in his first ministerial position.
Thus, Isaac was a member of the extended imperial clan.
Thus, f < sub > g </ sub > is a permutation of G, and so is a member of Sym ( G ).
Thus Robert Bridges has contributed to phonetics and he was also a founder member of Society for Pure English.
Thus, M87 was the eighty seventh member of Messier's catalogue.
“ The truth is that there is not enough of the right kind of freedom, the fundamental freedom to choose to be free or not to be free, according to one's preference .... Thus I demand, for each and every member of human society, freedom of association according to inclination and of activity according to aptitude.
Service flags have a deep Blue Star for each living member in the service and a Gold Star for each member who has died .” Thus, the Gold Star and the term Gold Star Mother, as applied to mothers whose sons or daughters died in World War I, were accepted ; they have continued to be used in reference to all American military engagements since that time.
Thus, the mare becomes a permanent member of a new harem.
Thus, for example, whenever the United Nations makes reference to Taiwan, which does not appear on its member countries list, it uses the designation " Taiwan, Province of China ", and organizations that follow UN standards usually do the same, such as the International Organization for Standardization in its listing of ISO 3166-1 country codes.
Thus he became a member of the House of Lords, the powers of which had been curtailed in the Liberal Parliamentary Reform of 1911.
Thus the estimate can be considered a hazard ratio, that is, the ratio between the predicted hazard for a member of one group and that for a member of the other group, holding everything else constant.
3.781 seconds.