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 lack of obvious racist graffiti does not necessarily mean that there actually is none.

Hence the country is rich in brooks and hot springs as well as medicinal springs and spas ; as of 2003, there are 1250 springs that provide water warmer than 30 degrees.

Hence, there are censoring mosaics in Japan, and scene removals and different ages of characters in America.

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, citizens in those states can invoke the jurisdiction of local courts to enforce rights granted under international law wherever there is incorporation.

Hence, there is a temptation to look for ' external ' influences ...

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, at any given level in the inheritance chain, there can be at most one implementation of any method.

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

Hence, there is not always a sharp distinction between neurology and psychiatry on a biological basis.

Hence, there can be neither void nor vacuum ; and true reality can neither come into being nor vanish from existence.

Hence there was a vacancy of nearly eleven months between the death of Pope John III and the arrival of the imperial confirmation of Benedict's election on 2 June 575.

Hence, there is a strong imperative to " publish or perish ".

Hence ( its way ) is near to ( that of ) the Tao " and " There is nothing in the world more soft and weak than water, and yet for attacking things that are firm and strong there is nothing that can take precedence of it — for there is nothing ( so effectual ) for which it can be changed.

— Hence there grew up, what has been rare in the history of the world, a kind of tolerance in the midst of cruelty, tyranny and rapine.

Hence there was no year 0 AD / CE.

Hence the saying that " if there is any possible justification of civil disobedience it must come from outside the legal system.

In addition, lighter skin is able to generate more vitamin D ( cholecalciferol ) than darker skin so it would have represented a health benefit in reduced sunlight if there were limited sources of vitamin D. Hence the leading hypothesis for the evolution of human skin colour proposes that:

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 there exists a close connection and communication between sacred Tradition and sacred Scripture.

Hence, the formation of helium-4 is delayed until the universe becomes cool enough to form deuterium ( at about T = 0. 1 MeV ), when there is a sudden burst of element formation.

Hence, the swastika has become strongly associated with Nazism and related ideologies such as fascism and white supremacism in the Western world and is now largely stigmatized there.

Hence all teachers, good and bad, who have been teaching for a given number of years are paid the same salary.

Hence it is difficult to conceive of a packing of the atoms in this material in which the oxygen atoms are far from geometrical equivalence.

Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.

* Hence, the set of algebraic numbers has Lebesgue measure zero ( as a subset of the complex numbers ), i. e. " almost all " complex numbers are not algebraic.

Hence, from the point of view of the reader, numerals in Western texts are written with the highest power of the base first whereas numerals in Arabic texts are written with the lowest power of the base first.

Hence, armed groups are regularly entering the country from Chad and Sudan.

Hence servers usually are high speed computers with large hard disk capacity.

Hence, domestic and females employees working business are not concubines and sex is forbidden, unless Nikkah or Muta ( Temporary Marriage Only Permissible in Shi ' ism ) is committed with mutual consent.

Hence either one of the metals is partially or fully oxidised or reduced, or ion vacancies are created.

Hence, readers are recommended to consult instead the alphabetical index or the Propædia, which organises the Britannicas contents by topic.

Hence for both logic and mathematics, the different formal categories are the objects of study, not the sensible objects themselves.

Hence, the wine and the bread are merely symbols ( sometimes referred to as " emblems "), but they have a profound meaning for Jehovah's Witnesses.

Hence Bede ’ s dates are inconsistent.

Hence, as longer time passes more of traces are subject to decay and as a result the information is forgotten.

Hence, it is not the electromagnetic repulsion between electrons and nuclei that is responsible for two wood blocks that are left on top of each other not coalescing into a single piece, but rather it is the exclusion principle applied to electrons and protons that generates the classical macroscopic normal force.

Hence GSSPs are usually described in terms of transitions between different faunal stages, though far more faunal stages have been described than GSSPs.

Hence interactions between these galaxies are relatively frequent, and play an important role in their evolution.

Hence a grapheme can be regarded as an abstraction of a collection of glyphs that are all semantically equivalent.

Hence their states ' governments are not referred to by the traditional parliamentary model head of state styles of " His / Her Majesty's Government " or " His / Her Excellency's Government.

Hence, the Acts are referred to as the Union of the Parliaments.

Hence they grow old beardless and their young men are without comeliness, because a face furrowed by the sword spoils by its scars the natural beauty of a beard.