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 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 many industrial sites appeared there.

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

Hence these words of David: In the morning I put to death all the wicked of the land, that I might cut off all the workers of iniquity from the city of the Lord.

Hence, the letter identifies Paul as its author, and these manuscripts designate the Ephesian church as its recipient.

Hence, if we know these values for any one state the constant can be calculated.

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

Hence, ( keeping these in mind ), by self-control and by making dharma ( right conduct ) your main focus, treat others as you treat yourself.

Hence, controlling for other factors, these researchers found that race is important in explaining whether or not a household has received an inheritance and the size of the inheritance.

) Hence these theories resemble the 19th century aether theories in name only.

Hence, these fragments are among the oldest objects in the solar system and have preserved information about its early history.

Hence, if social security benefits are portable, contributors to, for example, old-age pension schemes do not experience any disadvantage such as the loss of contributions and benefits associated with these contributions when moving from one job to another, from one occupation to another, or from the public to the private sector.

Hence, the traditional platyhelminth subgroup " Turbellaria " is now regarded as paraphyletic, since it excludes the wholly parasitic groups, although these are descended from one group of " turbellarians ".

Hence the name ' QSO ' ( quasi-stellar object ) is used ( in addition to ' quasar ') to refer to these objects, including the ' radio-loud ' and the ' radio-quiet ' classes.

Hence these three criteria:

Hence, these churches are also called Old Oriental Churches.

Hence any application of these concepts to practical problems needs to be performed with care.

Hence, these sequences and the information they carry may get lost.

Hence these stars emit little light, sometimes as little as that of the Sun.

Hence, the insignia and medallions for these awards bear a crown, cypher, and / or effigy of the monarch.

Hence there exists God, the promulgator of these laws.

Hence, taurine supplementation is possibly beneficial for the prevention of these diseases.

Hence the contradiction in his acting: his performance as a whole often fell short of high excellence, yet these same impersonations were lit by insight and masterly strokes of interpretation, which made the spectator feel that he was watching the performance of the most imaginative of living actors.

Hence, contrary to Dingle's assertion, there is no contradiction, nor are these relations merely " appearances ".

Hence, these provinces became known as the Spanish Netherlands or Southern Netherlands.

Hence one can debate whether the underlined strings in these examples should qualify as clauses.