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Therefore, the greatest common divisor g must divide r < sub > N − 1 </ sub >, which implies that g ≤ r < sub > N − 1 </ sub >.
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Therefore and greatest
Therefore, the legislation of a society is vital to maintaining a society with optimum pleasure and the minimum degree of pain for the greatest amount of people.
Therefore, the human that lacks food, love, esteem, or safety would consider the greatest of his / her needs to be food.
Therefore, minting the phoenix was one of Governor Kapodistrias ' greatest priorities, and he signed a decree authorising it on the 12th of April 1828.
When Reynolds died, North Carolina's governor Thomas Walter Bickett said: " Therefore, the greatest eulogy that can be offered would be to refer to his life of rugged honesty, his wide usefulness and his kindly dealings with his fellowmen, which he himself deemed his first duty.
Therefore and common
Therefore, communication is social interaction where at least two interacting agents share a common set of signs and a common set of semiotic rules.
Therefore, all Indian classical dances are to varying degrees rooted in the Natyashastra and therefore share common features: for example, the mudras, some body positions, and the inclusion of dramatic or expressive acting or abhinaya.
Therefore, a pair of words whose earlier forms are distinct, yet similar, as far back as they have been traced, could in theory have come from a common root in an even earlier language, making them real cognates.
Therefore, at common law, notarial service is distinct from the practice of law, and giving legal advice and preparing legal instruments is forbidden to lay notaries such as those appointed throughout most of the United States of America.
Originally, the Supreme Court held that the Sixth Amendment right to a jury trial indicated a right to “ a trial by jury as understood and applied at common law, and includes all the essential elements as they were recognized in this country and England when the Constitution was adopted .” Therefore, it was held that juries had to be composed of twelve persons and that verdicts had to be unanimous, as was customary in England.
Therefore, is the least common multiple of at most minimal polynomials for odd indices, each of degree at most.
Therefore, real collaboration technologies deliver the functionality for many participants to augment a common deliverable.
Therefore, it has become common practice for larger cities to build roads for faster through traffic.
Therefore the concept is especially good at explaining many forms of altruism, regardless of a common misuse of the term along the lines of a selfishness gene.
Therefore, according to its meaning in common usage in English, any given people, ethnic group or community may be described as being indigenous in reference to some particular region or location.
Therefore, it is not common to refer to " Portuguese America " ( like Spanish America, Dutch America, etc.
Therefore, it is common to define " factory methods " that are not polymorphic to create objects in order to gain these other benefits.
" Therefore, ProEnglish " works through the courts and in the court of public opinion to defend English's historic role as America's common, unifying language, and to persuade lawmakers to adopt English as the official language at all levels of government.
Therefore and divisor
Therefore, for a perfect number M, τ ( M ) is even and the average of the divisors is the product of M with the unit fraction 2 / τ ( M ); thus, M is a harmonic divisor number.
Therefore the standard form of hypothesis H is that if Q defined as above has no fixed prime divisor, then all f < sub > i </ sub >( n ) will be simultaneously prime, infinitely often, for any choice of irreducible integral polynomials f < sub > i </ sub >( x ) with positive leading coefficients.
Therefore, unless otherwise noted, the resulting number should be evaluated for divisibility by the same divisor.
Therefore and g
Therefore, local changes in concentration ( e. g. Creaming and Sedimentation ) and global changes in size ( e. g. flocculation, coalescence ) are detected and monitored.
Therefore, Spearman and others have regarded g as the ( perhaps genetically determined ) real essence of intelligence.
Therefore, the optimal mutation rate for a species is a trade-off between costs of a high mutation rate, such as deleterious mutations, and the metabolic costs of maintaining systems to reduce the mutation rate, such as DNA repair enzymes .< ref name = Sniegowski > Viruses that use RNA as their genetic material have rapid mutation rates, which can be an advantage since these viruses will evolve constantly and rapidly, and thus evade the defensive responses of e. g. the human immune system.
Some have been used as the basis for a title, e. g. I Shop, Therefore I Am: Compulsive Buying and the Search for Self by April Lane Benson.
Therefore, the United States and the Soviet Union went to great lengths to establish connections in these countries by offering economic and military support in order to gain strategically located alliances ( e. g. United States in Vietnam or Soviet Union in Cuba ).
Therefore, when moving in a favorable direction, the concentration of the chemical attractant increases and " tumbles " are continually suppressed ; however, when the cell's direction of motion is unfavorable ( e. g., away from a chemical attractant ), tumbles are no longer suppressed and occur much more often, with the chance that the cell will be thus reoriented in the correct direction.
Therefore, most individuals are diagnosed after symptoms ( e. g. sinopulmonary disease and GI manifestations ) prompt an evaluation for cystic fibrosis.
Therefore, if the testicular artery is ligated, e. g., during a Fowler-Stevens orchiopexy for a high undescended testis, the testis will usually survive on these other blood supplies.
Therefore large variety of euphemisms were used instead, including comparisons, human names and other anthropomorphic terms – e. g. snakes were likened to ropes or called brides, while wolf was named Juris or Ansis or referred to as man ( also brother or friend ) of the forest.
Therefore, only é and è are normally contrasted, typically in words ending in-ché, such as perché (" why / because "); in the conjugated copula è (" is "); in ambiguous monosyllables such as né (' neither ') vs. ne (' of it ') and sé (' itself ') vs. se (' if '); and some verb forms, e. g. poté (" he / she / it could " ( past tense )).
Therefore any significant amount of binary data ( e. g., file transfers ) is best transmitted out-of-band, using in-band messages to coordinate.
Therefore, the optimal mutation rate for a species is a trade-off between costs of a high mutation rate, such as deleterious mutations, and the metabolic costs of maintaining systems to reduce the mutation rate, such as DNA repair enzymes .< ref name = Sniegowski > Viruses that use RNA as their genetic material have rapid mutation rates, which can be an advantage since these viruses will evolve constantly and rapidly, and thus evade the defensive responses of e. g. the human immune system.
Therefore, it would not be uncommon for 16th-century map to apply the label " China " just to the coastal region already well known to the Europeans ( e. g., just Guangdong on Abraham Ortelius ' 1570 map ), and to place the mysterious Cathay somewhere inland.
Therefore, characters will start at different points in time and they may never have opportunities to encounter some of the other characters ( e. g.: Zhuge Liang will never meet Lü Bu or Dong Zhuo in his Musou Mode ).
Therefore the international necktie day is celebrated on October 18 in Croatia and in various towns throughout the world, e. g. in Dublin, Tübingen, Como, Tokyo, Sydney and other towns.
Furthermore, if, and if the Frobenius endomorphism of F is an automorphism, g may be written as, and in particular, ; a contradiction of the irreducibility of f. Therefore, if F possesses an inseparable irreducible ( non-zero ) polynomial, then the Frobenius endomorphism of F cannot be an automorphism ( where F is assumed to have prime characteristic p ).
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