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, 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, by metonymy, it would be employed to denote at times the shield which it supported, and at other times a cuirass, or chlamys, the purpose of which it in part served.

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, a GIS developed for an application, jurisdiction, enterprise, or purpose may not be necessarily interoperable or compatible with a GIS that has been developed for some other application, jurisdiction, enterprise, or purpose.

Hence the textual evidence for the Gospel of John is commonly accepted as both earlier and more reliable than that for any other of the canonical Gospels.

Hence the directional double quotation marks « and » used for some European languages were included, but not the directional double quotation marks “ and ” used for English and some other languages.

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, although the experience of God is like none other, the occasions for experiencing Him, for having a consciousness of Him, are manifold, even if we consider only those that call for Berakot.

Hence, usually most of the students from towns and cities other than Kolkata take up accommodation in guest houses and as paying guests in residences in the vicinity.

Hence the same question may be loaded in one context, but not in the other.

Hence, close air support of the ground troops along the border between North Korea and South Korea was vital, and the American and other U. N. aviators turned to napalm B as an important weapon for defending against communist ground attacks.

Hence, bending a surface will not alter the Gaussian curvature and other surfaces with constant positive Gaussian curvature can be obtained by cutting a small slit in the sphere and bending it.

Hence epileptic seizures, neurological dysfunctions and sleepwalking may be considered acceptable excusing conditions because the loss of control is not foreseeable, but falling asleep ( especially while driving or during any other safety-critical activity ), may not be because natural sleep rarely overcomes an ordinary person without warning.

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, Aquinas acknowledges the principle which today is known as Occam's Razor, but prefers causal explanations to other simple explanations ( cf.

Hence the prefix and the suffix combine to indicate someone who has wrought words, themes, and other elements into a dramatic form, someone who crafts plays.

Hence, Gothic architecture, art and other " Gothic " motifs appeal more to paganism and occult traditions in the Middle (" Dark ") Ages to the present.

Hence, a menu is a menu item that contains menu items which may contain other menu items, etc.

Hence the bogus Lopukhina Conspiracy and other attempts of Frederick the Great and Louis XV to get rid of Bestuzhev ( making the Russian court the centre of a tangle of intrigue during the earlier years of Elizabeth's reign.

Hence, the flow of time is this game system is most often a lot faster than in other RPGs, since player characters primarily advance in the down time between adventures.

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, " audio dubbing " and " video dubbing ", where either the audio or video are re-recorded on tape ( without disturbing the other ), were supported features on prosumer linear video editing-decks.