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 karmas are the subtle matter surrounding the consciousness of a soul.

Hence " it is evident that wisdom, knowledge and understanding are eternal and self-subsistent things, superior to matter and all sensible beings, and independent upon them "; and so also are moral good and evil.

Hence God must call upon other powers to aid Him in the creation of man, as He can have nothing to do with matter, which constitutes the physical nature of man: with evil He can have no connection ; He can not even punish it.

Hence, no matter what the infant may have done, there cannot be a criminal prosecution.

Hence, whether to keep or to synonymize it is entirely a matter of philosophy, as the scientific facts would agree with either approach.

Hence, depending on their mass, axions could plausibly explain the dark matter problem of physical cosmology.

Hence I have little information to offer in the matter.

Hence, the definition for an inorganic versus an organic compound in a multidisciplinary context spans the division between living ( or animate ) and non-living ( or inanimate ) matter and remains open to debate according to the way that one views the world.

Hence the matter is academic, both being somewhat distant from the last sovereigns of Ulster ( to 1607 ), whose plentiful descendants eventually fell into comparative obscurity.

Hence part of the art of using IDL ( or any other array programming language, for that matter ) for numerically heavy computations is to make use of the built-in vector operations.

Hence, NEWater is free from viruses and bacteria and contains very low levels of salts and organic matter.

Hence Achilles can never catch the Tortoise, no matter how fast he runs, since the Tortoise will always be moving ahead.

Hence some stalactites have their tips under water long enough to allow tassels of crystals to grow on them, which, in a drier season, are again coated over with stalactitic matter ; and thus singular distortions are occasioned.

Hence, the spinal ganglia can be regarded as gray matter of the spinal cord that became translocated to the periphery.

Hence one deduces a Creator, non-contingent and not composed of matter.

Hence this effect is responsible for most of the mass of ordinary matter.

Hence, whether a supranational court or tribunal will have jurisdiction and, if so, over what subject matter and over what period of time, will be decided by the sovereign government of the day.

Hence the song's " mild dissonance " and " nasally sarcastic " key-changes have been said to complement the " suppressed bitterness " of Harrison's lyric, which features such self-referential lines as: " It doesn't really matter what chords I play / What words I say or time of day it is / As it's only a Northern Song.

Hence, ' mind ' and ' matter ' cannot be the polar opposites that Dualism suggests.

Hence, every law has both a territorial and a personal application so it is applied by courts within the boundaries of the state yet, as an aspect of the social contract, it also claims to bind those individuals who owe the government allegiance, no matter where they may be.