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 a measurement of any dramatic change to the H → γγ cross section predicted by the Standard Model is crucial in probing the physics beyond it.

Hence the change in styling from King of the Picts to King of Alba.

Hence, the purpose of the Leninist vanguard party is to establish a democratic dictatorship of the proletariat ; supported by the working class, the vanguard party would lead the revolution to depose the incumbent Tsarist government, and then transfer power of government to the working class, which change of ruling class — from bourgeoisie to proletariat — makes possible the full development of socialism.

Hence, the passing of time was more discernible in the very early years, such as the graduation of Spider-Man ; and what started as children or teenaged characters, such as Kitty Pryde, Franklin Richards, Valeria Richards, Power Pack, or the New Mutants are all allowed to age at wildly shifting rates ( in the second case even backwards at times ), whereas surrounding characters somewhat dependent on a certain age limit do not change at all.

Hence it has three main elements: description of the phenomena ; developing a general theory about the causes of various types of change ; and applying those theories to specific facts.

Hence, the owner usually requires a final record to show all changes or, more specifically, any change that modifies the tangible portions of the finished work.

Hence, it is possible to speak of, for example, the loss of initial / j / in unstressed syllables in the Vulgar Latin of Cantabria ( the area in northern Spain that gave birth to modern Spanish ), while it is inaccurate to speak of a similar change in the " Proto-Romance of Cantabria ".

Hence, philosophic contradiction is central to the development of dialectics — the progress from quantity to quality, the acceleration of gradual social change ; the negation of the initial development of the status quo ; the negation of that negation ; and the high-level recurrence of features of the original status quo.

Hence, out of this general natural tendency, a quantitative measure as to how near or far a potential reaction is from this minimum is when the calculated energetics of the process indicate that the change in Gibbs free energy ΔG is negative.

Hence energy in minus energy out equals the change in energy.

: Hence, if the registrant wishes to change his initial number holder operator ( that might also coincide being his gateway operator ) there have to be provisions for the ENUM number to be ported from the initial operator to other number holder operators.

Hence, a dating of the ostraca to Horemheb's reign on the basis of the Year change is eminently plausible.

Hence, to firmly state a specific threshold on how large the intensity change between two neighbouring pixels must be for us to say that there should be an edge between these pixels is not always simple.

Hence, the internal energy is constant, and the net change in internal energy is ZERO.

Hence the equation expresses the change in the predator population as growth fueled by the food supply, minus natural death.

Hence, every time there is a change in address space, such as a context switch, the entire TLB has to be flushed.

Hence a large force, which is larger than the tension in the chain, is required to change the transmission diameter.

Hence, though there is continuity, there is also development and change.

Hence there was likely a gradual change in historic writing practices and a reorientation of the vocation and place of writing rather than the elimination of the art.

Hence, the show was completely revamped which followed a name change to what is currently known as " Catholic High Music Awards ", which was the brainchild of its founder Mr Wang Jiunn, who was a teacher of Catholic High school.

Hence our understanding of Peirce's graphical logic is likely to change as the remaining 23 volumes of the chronological edition appear.

Hence, the impact of the Norwegian Coastal Current on climate change is relatively small.