Hence, the axiom of regularity is equivalent, given the axiom of dependent choice, to the alternative axiom that there are no downward infinite membership chains.

Hence, the angular momentum before an event involving only internal torques or no torques is equal to the angular momentum after the event.

Hence Paul can use the term Christos with no confusion as to who it refers to, and as in and he can use expressions such as " in Christ " to refer to the followers of Jesus.

Hence I can see no reason to doubt that natural selection might be most effective in giving the proper colour to each kind of grouse, and in keeping that colour, when once acquired, true and constant.

Hence, the social constructionism and role-taking theory of hypnosis suggests that individuals are enacting ( as opposed to merely playing ) a role and that really there is no such thing as a hypnotic trance.

Hence the Krebs Cycle can start at acetyl-CoA when fat is being broken down for energy if there is little or no glucose available.

Hence it is that what names theirs carried, ours do the like, and the Fathers make no scruple at it — no more need we.

Hence there are no Sikh or Bahá ’ í monk conclaves or brotherhoods.

Hence, the use of the operational amplifier is simplified because no external compensation is required for unity gain stability ; amplifiers without this internal compensation such as the 748 may require external compensation or closed-loop gains significantly higher than unity.

Hence it receives no religious sanction.

Hence, in this kind of supersessionism, those Jews who do not accept Jesus ' messiahhood are still part of the covenant in the sense of ' what God has put together let no man put asunder ' original.

Hence it gives us a TSP tour no more than twice as long as the optimal one.

Hence, he found no objection to surrendering to an international body jurisdiction over the nation's rights in international affairs.

Hence there was no year 0 AD / CE.

Hence since no sensible magnitude is infinite, it is impossible to exceed every assigned magnitude ; for if it were possible there would be something bigger than the heavens.

Hence Protestant clerics, Catholic lay parishioners, and Protestants have no religious restrictions on hunting.

Hence there was no heir apparent during the reign of George VI, who had no sons: Princess Elizabeth was heiress presumptive, and was hence not eligible to be titled Princess of Wales.

Hence, frequency no longer measures the number of cycles per unit time, but is still closely related.

Hence, no canonical source has given any family names to any Vulcan characters, and indeed, every one of the personal names previously mentioned are all officially described as being only Latin-alphabetical and English-phonetic approximations of the real ones.

Hence, François Rabelais, also of the 16th century, imagines an inscription over the door of his Utopian Abbey of Thélème, " Here enter no hypocrites, bigots ..." slipping in a slighting reference to " Gotz " and " Ostrogotz.

Hence the bare instrumentalist view of quantum mechanics outlined in the previous section is not an interpretation at all, for it makes no claims about elements of physical reality.

Hence such a feat made Apollonius look like a good Pythagorean who spared no pains in his efforts to discover the sources of oriental piety and wisdom.

Hence, contrary to Dingle's assertion, there is no contradiction, nor are these relations merely " appearances ".

Hence the PowerBook 100's design does not match those of the rest of the series, as it was actually designed after the 140 & 170 and further benefited from improvements learned during their development.

Hence it is more likely to have been produced as the result of a relatively recent breakup of a moderate-sized ( or larger ) comet or asteroid, which then further fragmented as the result of collisions between the smaller components and other bodies.

Hence further upward transfer of energy is completely blocked and a very rapid easterly deceleration and the polar warming occur at this critical level, which must then move downward until eventually the warming and zonal wind reversal affect the entire polar stratosphere.

Hence the Sefirot must not be conceived as emanations in the ordinary sense of the word, but rather as modifications of the spirit of God, which first changes to air, then becomes water, and finally fire, the last being no further removed from God than the first.

Hence the name Meithe Togmaill, Stoat Neck ” and when he kills Medb ’ s handmaid: “ He slung a stone at her from the heights of Cuincu and killed her on the flat place that bears her name, Reid Locha, Locha ’ s Level, in Cualinge ” Mebd ’ s behavior further illustrates the importance of the landscape when she goes to great lengths to permanently alter it to show her contempt for Ulster.

Hence a gravitational field induces a further gravitational field.

Hence cap cells can differentiate into myoepithelial and luminal ( duct ) epithelial cells, and the increased amount of activated MMPs can degrade surrounding ECM helping duct buds to reach further in the fat pads.

Hence, foreign made assault rifles and machine guns such as the AK-47, the FN FAL or the Heckler & Koch MP5 could no longer be imported into the United States for civilian ownership ( however, semi-automatic models of the same weapons were permitted until the definition of " sporting purpose " was further tightened in 1989 ).

Hence, the diffusion rate is more than 97 %, and the market is said to be saturated ; i. e. further growth of sales of refrigerators will occur basically only as a result of population growth and in cases where one manufacturer is able to gain market share at the expense of others.

Hence, the buried chemicals had a further opportunity to migrate and seep from the canal.

Hence, the processes investigated can be studied with no further broadening than the Doppler width ( which is about 1 GHz ).

Hence, the further hearings of the Tribunal and its final report are now enjoined on the outcome of the Supreme Court hearing of the Presidential reference.

Hence the further a planet lies from the galactic center or a spiral arm, the less likely it is to be struck by a large bolide.

Hence, unexplained newly onset dyspepsia in people over 55 or the presence of other alarming symptoms may require further investigations.

He further deduces that the whole point of the exercise was to obtain Pycroft's signature so that a ' fake ' Pycroft may be employed at Mawsons ( Hence why they asked him to not officially resign his post ).

It is further to state that there is no letter of English F. Hence, Ph should be used for writing a Changmha word

Hence it can be argued that the split between the state leadership and the leading nobles ( civil servants and officers ), in particular in Finland, was further aggravated due to the reaction to the Anjala affair, particularly if the government's reaction for exactly that reason was intentionally lenient.

Hence, the kalma required further confession the third phrase “ Ali-un-vali-ul-lah ”, means “ Ali is his ( Mohammad ’ s ) “ Wali " ," vasi ", the real care taker, stressing the need that for continuation of faith there is requirement of “ Wali ”, which is one and only “ Imam after Imam ”, which are really taking care of Islam, hence this is also known as the confession of " Imamat ".

Hence, trade creation's essence is in elimination of customs tariffs on inner border of unifiying states ( usually already trading with each other ), causing further decrease of price of the goods, while there may be a case of new trade flow creation of the goods between the states decided to economically integrate.

Hence this oil has to be periodically tested to ascertain its basic electrical properties, make sure it is suitable for further use, and ascertain the need for maintenance activities like filtration / regeneration.

Hence, as in the case of so many villages, development in the 20th century extended further from the parish church, in this case towards Porth Bean and Henver Roads, leading into Newquay.