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, there are two different conceptions of art in aesthetics: art as knowledge or art as action, but aesthetics is neither epistemology nor ethics.

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 the prime issue, as I see it, is whether a democratic or free society can master technology for the benefit of mankind, or whether technology will rule and develop its own society compatible with its own needs as a force of nature.

Hence government must establish greater controls upon corporations so that their activities promote what is deemed essential to the national interest.

Hence, the only defensible procedure is to repress any and every notion, unless it gives evidence that it is perfectly safe.

Hence the natural setting of tragedy is the palace gate, the public square, or the court chamber.

Hence, the condition of freedom is a necessary condition for choice.

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 the minimal polynomial for Af is Af.

Hence the totality of singular lines is the T order complex of lines which meet Aj.

Hence, thought of as a line in a particular plane **yp, any tangent to Q has a unique image and moreover this image is the same for all planes through L.

Hence C' is a Af curve on Q.

Hence, when the address Af is computed from Af, the cell Af and all Y-cells in its chain must be inspected to determine whether Af is already in the form list or whether it should be added to the form list and the chain.

Hence, the Af factor for the output fiber coupler is Af.

Hence P is the increase in value of the stream minus the cost of operation, that is, the net profit.

Hence, if what is in question is whether in a given theology myth is or is not completely rejected, it is unimportant whether only a little bit of myth or a considerable quantity is accepted ; ;

Hence he was in his lifetime, as is the memory of him afterwards, a canker within the liberal sensitivity.

Hence, such an appellate court will not consider an appellant's argument if it is based on a theory that is raised for the first time in the appeal.

Hence, if a dish contains significant amounts of any of these ingredients, it has most likely been Americanized.

Hence " entering marriage with the intention of never having children is a grave wrong and more than likely grounds for an annulment.

Hence in 1988 it was likely that a solution would have to wait until the war ended.

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 revolution is most likely to appear in third world countries, which again will weaken imperialism opening up for revolutions in other countries too.

Hence it is unlikely that most of the prime factors of N < sub > p </ sub > and N < sub > q </ sub > are the same, and it is quite likely that while computing eP, we will encounter some kP that is modulo p but not modulo q, or vice versa.

Hence, adsorption of gas molecules to the surface is more likely to occur around gas molecules that are already present on the solid surface, rendering the Langmuir adsorption isotherm ineffective for the purposes of modelling.

Hence the name of the province literally means City Heaven, but more likely it is meant Heavenly City.

Hence states may file briefs as amici curiae when their laws are likely to be affected, as in the Supreme Court case McDonald v. Chicago, when thirty-two states under the aegis of Texas ( and California independently ) filed such briefs.

Hence, given that much of the late -' 60s wave of groundbreaking rock music developed within rock's famous " San Francisco Sound ," it seems very likely that the writers of the San Francisco Renaissance had an influence on the lyrics, both artistically and in terms of attitudes to living.

Hence, males in a group are more likely to be related and have closer bonds than females.

Hence third born children are not only third in birth order, but they are also more likely to come from larger, poorer families than firstborn children.

Hence one would expect a robust co-evolutionary trajectory between language competency and culture: proto-humans capable of the first, and presumably rudimentary, versions of protolanguage would have better access to cultural understandings, and cultural understandings, conveyed in protolanguages that children's brains could readily learn, were more likely to be transmitted, thereby conferring the benefits accrued.

Hence it is most likely that Homo habilis and Homo erectus during the Lower Pleistocene had some form of communication intermediate between that of modern humans and that of other primates.

Hence the link to Rochester probably does not indicate that the coins were minted there ; it is more likely that they were produced in London, which was under Mercian control.

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, OPL will most likely never be made available for the newer generation of Symbian OS phones such as Sony Ericsson P990, M600, W950, P1i and Nokia E61i and E90.

Hence pakicetids were most likely an aquatic wader.

Hence, they can be less likely to identify patterns that span several advertisers.

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, anyone who feels offended by any content published on a blog, an online newspaper and, most likely, even on Wikipedia would have the right for a statement (" correction ") to be shown, unaltered, on the page, aimed to contradict and disprove the allegedly harmful contents, regardless of the truthfulness of the information deemed as offensive, and its sources.

Hence, those 40 years suggest more strongly than can any set of formulaic tests that few individuals, whatever their system of beliefs, are likely to have understood the monument as amounting, in any significantly detrimental way, to a government effort to favor a particular religious sect, primarily to promote religion over nonreligion, to " engage in " any " religious practic ," to " compel " any " religious practic ," or to " work deterrence " of any " religious belief.

Hence, in black-box implementations ( e. g., smartcards ) the attack is likely to go entirely unnoticed.

Hence, that person is more likely to exercise the self-controlled decision to wake up, rather than to fall back in bed for a little more sleep.