Furthermore, if b < sub > 1 </ sub > and b < sub > 2 </ sub > are both coprime with a, then so is their product b < sub > 1 </ sub > b < sub > 2 </ sub > ( modulo a it is a product of invertible elements, and therefore invertible ); this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.

Furthermore, because the Julian calendar's lunar age is now about four to five days behind the mean lunations, Julian Easter always follows the start of Passover.

Furthermore, for a sequence of positive weights with sum we can define weighted power means as follows:

Furthermore, this fixed point can be found as follows: start with an arbitrary element x < sub > 0 </ sub > in X and define an iterative sequence by x < sub > n </ sub >

Furthermore, by considering the limit independently on either side of P, this definition of the curvature can sometimes accommodate a singularity at P. The formula follows by verifying it for the osculating circle.

Furthermore, according to some, if as creatures our concepts are all drawn from the creation, it follows from this and divine simplicity that God's attributes can only be spoken of by analogy — since it is not true of any created thing that its properties are identical to its being.

Furthermore, since each case of " grey " or " circular " is different, it follows that universals themselves cannot be sensed.

Furthermore, the nasal vein vascularisation of the nose generally follows the arterial pattern of nasal vascularisation.

Furthermore, monetary policies are described as follows: accommodative, if the interest rate set by the central monetary authority is intended to create economic growth ; neutral, if it is intended neither to create growth nor combat inflation ; or tight if intended to reduce inflation.

Furthermore, the Faroese alphabet uses the Icelandic eth, which follows the D. Five of the six vowels A, I, O, U and Y can get accents and are after that considered separate letters.

Furthermore, it follows the policies of the Association of American Universities and the Council of Graduate Schools: a professional doctorate ( e. g., M. D.

Furthermore, in this case the structure group of the normal bundles is the circle group ; it follows that the choice of embeddings can be canonically identified with the group of homotopy classes of maps from to the circle, which in turn equals the first integral cohomology group.

Furthermore, in multicellular organisms, gene regulation drives the processes of cellular differentiation and morphogenesis, leading to the creation of different cell types that possess different gene expression profiles, and hence produce different proteins / have different ultrastructures that suit them to their functions ( though they all possess the genotype, which follows the same genome sequence ).

Furthermore, by implementing the Einstein relation and assuming the semiconductor is nondegenerate ( i. e. the product is independent of the Fermi energy ) it follows that

* Furthermore, it follows that all solvable groups are amenable.

Furthermore, MSU ’ s current vision is “ to be a premier supra-regional university committed to the social, political and economic development of Mindanao while achieving international recognition as leading institution of higher learning .” Its mission statement is as follows:

Furthermore, the term coping generally refers to reactive coping, i. e., the coping response follows the stressor.

Furthermore, it follows that is a neighbourhood of iff is a subset of the interior of.

Furthermore, it follows that for all t.

Furthermore, defendants may waive their jury-trial rights, and so it follows that they may also waive their Blakely rights in appropriate situations.

Furthermore, the division into chapters follows the conventions established by printers of the Hebrew text, which occasionally differs from English Bibles.

Furthermore, he showed, the field equation of Nordström's second theory follows from the Lagrangian

Furthermore, Liedtke introduced the concept of the direct process switch, where during an IPC execution an ( incomplete ) context switch is performed from the sender directly to the receiver.

Furthermore, having only one method of civil execution was seen as an expression of equality among citizens.

Furthermore, it is the tool paramount in the execution of a related and major magic realist phenomenon: textualization.

Furthermore, modern CPUs have instruction pipelines that queue instructions for execution.

Furthermore she was perceived as aloof, as she was an outsider to the HP culture, and also as a result of her high visibility and " rock star status " in the press which led to the board of directors complaining that she was " spending too much time on the road, neglecting the nuts-and-bolts execution of her own strategic ideas ".

Furthermore, their execution of their superior's ( the Fallen ) plan to destroy the Sun reveals that numerous Decepticons are present on Earth, which more than justifies the Autobots ' participation in National Defense affairs.

Furthermore, the suppression of POUM in May 1937 and the execution of Bukharin and other " rights " in the Soviet Union had convinced many that the Communist International could not be reformed and the idea of being an " opposition " within it was untenable.

Furthermore, many modern CPUs support out-of-order execution and other advanced optimization heuristics.

Furthermore, Brown claims that Oroonoko is not alone during his execution because “ narrator ’ s mother and Sister were by him ”.

Furthermore, the flexibility of the UVC is more important than the speed of execution.

Furthermore, asphyxiation in the gas chamber was the authorized method of execution, not electrocution.

Furthermore it is Qur ' an 4: 89 that is often quoted in Sharia courts as justification for the execution of an Apostate.

Furthermore, Bern decrees that we must do as we are ordered by the Council, preach only the word of God and stop meddling in politics ''!!

Furthermore, the exchange would not be expected to be sensitive to trace amounts of impurities because it would not be apt to be a chain reaction since the activation energy for abstraction of chlorine by a chlorine atom would be expected to be too high ; ;

Furthermore, it may be possible to estimate the error due to bias in method ( as distinguished from sampling error ) in each of these sources, on such subjects as fertility, mortality, and migration during a given interval by using information from two largely independent sources in conjunction.

Furthermore, the hydrolysis of paraoxon was studied in mammalian sera, and it was found that it is hydrolyzed by albumin ( or a factor attached to it ) in addition to arylesterase.

Furthermore, the middle number of the Lo Shu is not only the physical mean between every opposing pair of the other numbers, by reason of its central position ; ;

Furthermore, Roger Garrison argues that a false boom caused by artificially low interest rates would cause a boom in consumption goods as well as investment goods ( with a decrease in " middle goods "), thus explaining the jump in unemployment at the end of a boom.

Furthermore, Armenian exports fell by about one percent to $ 520 million USD.

Furthermore, Wesley did not teach a salvation by perfection, but rather says that, " Even perfect holiness is acceptable to God only through Jesus Christ.

Furthermore, to aid the conspiracy Maria had adopted Alexios as her son, though she was only five years older than he Maria was persuaded to do so on the advice of her own " Alans " and her eunuchs, who had been instigated to do his by Isaac Komnenos.

Furthermore, its activity was not inhibited by biological constituents such as pus, unlike the synthetic sulfonamides.

Furthermore, Cassidy believes that Luke ’ s work serves to “ equip his readers to handle such trials ” by providing examples of the disciples ’ suffering and to encourage them to “ show the same faithfulness of testimony when under trial as Jesus and the leading disciples .”

Furthermore, when on trial, the church responds to the authorities by professing the name of Jesus Christ ( Acts 4: 20, 28-29 ; 5: 29-32 ).

Furthermore, there is no proposed mechanism of action by which the positions and motions of stars and planets could affect people and events on Earth that does not contradict well understood, basic aspects of biology and physics.

Furthermore, only bishops and presbyters ( priests ) ordained by bishops in the apostolic succession can validly celebrate or " confect " several of the other sacraments, including the Eucharist, reconciliation of penitents, confirmation and anointing of the sick.

Furthermore, they claim that in the Bible there's no evidence showing that the office must be conveyed by laying on of hands and no Biblical command that it must be by a special class of bishops ( the laying on of hands is repeatedly used to give a commission to some person in scripture.

Furthermore, the persistent nature of dioxins, erosion caused by loss of protective tree cover, and loss of seeding forest stock, meant reforestation was difficult or impossible in many areas.

Furthermore, John Murray believed that Disraeli had caricatured him and abused his confidence – an accusation denied at the time, and by the official biography, although subsequent biographers ( notably Blake ) have sided with Murray.

Furthermore, he opined that art should not be judged by the medium for which it is created ( i. e., there is no " high " art or " low " art — just art ).

Furthermore, he says, the story of the defeat of the ten kingdoms has been deleted and replaced by 19: 9-10.

Furthermore, grading services are not free, and by using them collectors funnel money into an ancillary aspect of the hobby, instead of purchasing additional material for their collections.

Furthermore, the large elliptical galaxy and the edge-on spiral galaxy, both of which have active nuclei, are connected by a stream of stars and dust, indicating that they too are interacting.

Furthermore, Cyprus was dealt a severe blow by the Evangelos Florakis Naval Base explosion in July 2011, with the cost to the economy estimated at € 1 – 3 billion, or up to 17 % of GDP.

Furthermore, because f is differentiable at g ( a ) by assumption, Q is continuous at g ( a ).