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, 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 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, the angular momentum before an event involving only internal torques or no torques is equal to the angular momentum after the event.

Hence, the " Turning Swallow Cut " has been reconstructed as a technique involving striking downward from above and then instantly striking again in an upward motion from below.

Hence regardless of the theme and plot, an elaborate song and dance routine involving spectacularly lavish sets, costumes, special effects, extras and dancers would invariably be featured in a film.

Hence stack operations become assignments involving the stack variables.

Hence, the title was amended as part of the more ancient royal courts and titles of Tui-Aana, Tui-Atua.

Hence, such a term as " ancient Tunisia " is frankly anachronistic.

Hence it is probable, that in ancient times there may have been excellent singers, but of corrupt morals, on the coast of Sicily, who by seducing voyagers, gave rise to this fable.

Hence it was widely used in buildings in ancient times, before the advent of composite structures.

Hence it is found in most ancient structures, the apex of the dome is stiffened or the shape modified to avoid the infinite stress.

Hence the prominence of the " lex talionis " in ancient law.

Hence the natural inference that the country about these great lakes was the ancient residence of the Aztecs.

Hence the worship of this figure is a syncretism which can be best seen during the week of Ash Wednesday when many clad in Aztec dress dance and perform ancient rituals in front of the parish church below and the sanctuary church on the hill.

Hence, Lubao is synonymous to its ancient name Baba.

Hence great caution needs to be exercised in explaining ancient toponyms by reference to St Chad.

Hence medals were not awarded at the ancient Olympic Games.

Hence, in ancient times it was known as < em >' the town on the Dearne '</ em >.

Hence, there is very good evidence this virus is quite ancient, and may well have evolved more than one time over the last 10, 000, 000 years.

) Hence it has been supposed that the ancient Boura stood upon the coast, and after its destruction was rebuilt inland ; but neither Pausanias nor Strabo states that the ancient city was on the coast, and their words render it improbable.

Hence they were an ancient warlike tribe which got civilised over the centuries to become prosperous and very well-cultured.

Hence the Byzantine stories are traditional in their plot structure and setting ( featuring complex turns of events taking place in the ancient Mediterranean, complete with the ancient gods and beliefs ) but are also medieval, clearly belonging to the era of the Crusades as they reflect customs and beliefs of that time.

Hence this place in the ancient period also can be identified with the name of Munger or Ang Pradesh.

Hence, the early settlers who migrated from the province of Cotabato found their new haven as not unlucky or “ Di Nas ” because the mouths of all rivers emptying into the coastlines are facing East which according to their ancient belief is a sign of good luck.