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, many international travelers visit Helsinki on a stop-over between Asia and Europe.

Hence, an entire line of program code could express the same idea a small number of characters that other programming languages might easily take 5 to 10 times as many characters to express.

Hence the many predictions involving ancient figures such as Sulla, Gaius Marius, Nero, and others, as well as his descriptions of " battles in the clouds " and " frogs falling from the sky.

Hence, not only the ideas of the Muslim political philosophers but also many other jurists and ulama posed political ideas and theories.

Hence, many of the irregularities which have troubled scribes and scholars perhaps merely reflect the everyday usages of the careless and untrained tongues which Plautus heard about him .” Looking at the overall use of archaisms within Plautus, one will notice that they commonly occur in promises, agreements, threats, prologues, or speeches.

Hence many other Christians saw the Anabaptists as subversive of all order.

Hence, they participated in many of the major public religious roles that non-levitical men could, albeit less often and on a somewhat smaller and generally more discreet scale.

Hence, many of these countries expressed their support for the Whites, including the provision of troops and supplies.

Hence, many beliefs have formed around this worship, such as the " missing sun " found in many cultures.

Hence, for many large companies this allows you to understand the WHY behind the visitors ' intents when visiting a website or mobile site.

Hence a particular number of CCS can be carried in infinitely many ways as calls are established and cleared over time.

Hence, the band have been cited as an influence by many other musicians.

Hence the long-standing desire of many colonial administrators to establish a unified structure became feasible.

Hence, even having an algorithm, it remains unknown how many moves an optimal solution requires and how many optimal solutions exist for 1000 disks and 10 pegs.

Hence, government services are not centralized in one location, as they are in many American counties.

Hence he and many of his pupils ( in particular Carl Stumpf and Edmund Husserl ) thought that the natural sciences could only yield hypotheses and never universal, absolute truths as in pure logic or mathematics.

Hence, more mature women can be virgins ( The Virgin Queen ), men can be virgins, and potential initiates into many fields can be colloquially termed virgins ; for example, a skydiving " virgin ".

Hence, many of the commercial establishments in this area are designed for long-distance drivers.

Hence the Earth deviates from a perfect sphere by only a third of a percent, sufficiently close to treat it as a sphere in many contexts and justifying the term " the radius of the Earth ".

Hence, Microsoft's and other variants of BASIC constituted a significant and visible part of the user interface of many home computers ' rudimentary operating systems.

Hence, the book is of great value to the student of the Greek dialects, while in the restoration of the text of the classical authors generally, and particularly of such writers as Aeschylus and Theocritus, who used many unusual words, its value can hardly be exaggerated.

) Hence, although several graduate programs offer Ph. D. and postdoctoral training in medicinal chemistry, the broader education of a top-tier synthetic or physical chemistry graduate program most frequently provides the entry level skills sought for industrial medicinal chemistry.

Hence, an initial stimulus can trigger the expression of a large number of genes, leading to physiological events like the increased uptake of glucose from the blood stream and the migration of neutrophils to sites of infection.

Hence, it has three interlocking reproductive strategies: dominance of local habitats by clonal growth, survival of long inhospitable periods with buried seeds, and dispersal to new sites with wind-dispersed seeds.

Hence, biosurfactant-producing microorganisms may play an important role in the accelerated bioremediation of hydrocarbon-contaminated sites.

Hence, a challenge is how data publishers can coordinate in order to fix problems in the data or blacklist sites which do not provide reliable data.

Hence as a large number of people left the Catholic Church in Europe, a large number of new Catholics appeared in Mexico, maintaining the overall strength of the Catholic Church.

Hence, in the triumph which Aurelian celebrated at Rome in the year 274, no Persian captives appeared in the procession, but Persian envoys were exhibited instead, who bore with them the presents wherewith their master had appeased the anger of the emperor.

Hence, for example, the whole edition of the Croatian Orthography (' Hrvatski pravopis ') edited by Babić-Finka-Moguš ( 1971 ) was destroyed in a paper factory just because it had been titled " Croatian " Orthography instead of " Serbocroatian " or " Croatoserbian " Orthography No Croatian dictionaries ( apart from the historical " Croatian or Serbian " dictionaries, conceived in the 19th century ) appeared until 1985, when Communist centralism was well in the process of decay.

Hence, if a man with the knowledge of I A mythical person of great powers appeared, the world had no use for him.

Hence much of her science fiction first appeared in Boucher's magazine.

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.