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 many industrial sites appeared there.

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, 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, gene therapy can address only some genes that cause a particular disease.

Costume jewelry is meant to complement a particular fashionable garment or " costume "; Hence the name, " costume jewelry ".

Hence, scientists and physicians sometimes talk for example about the ( geno ) type of a particular cancer, that is the genotype of the disease as distinct from the diseased.

Hence, Mediolanum could signify the central town or sanctuary of a particular Celtic tribe.

Hence optical depth is dimensionless, and in particular is not a length ; however, the optical depth to an object will typically approach zero as the distance to the object decreases.

Hence the extent of electricity lost in transmission and the level of congestion on any particular branch of the network will influence the economic dispatch of the generation units.

Hence he inferred that the quadrature of the circle was impossible ; this was accepted by Montucla, but it is not conclusive, for it is conceivable that some particular sector might be squared, and this particular sector might be the whole circle.

Hence, stairs are typically custom made to fit the particular floor to floor height and horizontal space available.

Hence, there is scope for customizing the offering as per customer requirements and the actual customer encounter therefore assumes particular significance.

Hence particular care has to be taken in designing the service offering.

Hence a strain image may, under particular simplifying assumptions, be interpreted as representative of the underlying Young's modulus distribution.

Hence the reputation of a particular central bank is not necessarily tied to past performance, but rather to particular institutional arrangements that the markets can use to form inflation expectations.

Hence, it is this particular species in which this behavior was first noted.

Hence, this particular duty is effectively shared between the parliament and the president.

Hence, someone's level of intelligence, for example, could be literally " read off " from the size of a particular bump on his posterior parietal lobe.

Hence the central provision under EU law asks whether a concentration would if it went ahead " significantly impede effective competition ... in particular as a result of the creation or strengthening of a dominant position ..."

In particular, if A is a sentence of arithmetic then True ( g ( A )) holds in N if and only if A is true in N. Hence for all A, the Tarski T-sentence True ( g ( A )) ↔ A is true in N. But the diagonal lemma yields a counterexample to this equivalence, by giving a " Liar " sentence S such that S ↔ ¬ True ( g ( S )) holds.

Hence, his particular version of deflationism is commonly referred to as the redundancy theory.

Hence, an older woman with a serum creatinine of 1. 4 mg / dL may actually have a moderately severe degree of renal insufficiency, whereas a young muscular male, in particular if African American, can have a normal level of renal function at this serum creatinine level.

Hence, it would be of adaptive value in caves, with no vision available, to profit from underwater hearing by recognizing particular sounds and eventual localization of prey or other sound sources, i. e. acoustical orientation in general.