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 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, Lenin was philosophically positioned between historicist Marxism ( Labriola ) and determinist Marxism — a political position close to " social Darwinism " ( Kautsky ).

Hence, with respect to an inertial frame, an object or body accelerates only when a physical force is applied, and ( following Newton's first law of motion ), in the absence of a net force, a body at rest will remain at rest and a body in motion will continue to move uniformly — that is, in a straight line and at constant speed.

Hence the " nausea " referred to in the title of the book ; all that he encounters in his everyday life is suffused with a pervasive, even horrible, taste — specifically, his freedom.

Hence it is that what names theirs carried, ours do the like, and the Fathers make no scruple at it — no more need we.

Hence, the purpose of the Leninist vanguard party is to establish a democratic dictatorship of the proletariat ; supported by the working class, the vanguard party would lead the revolution to depose the incumbent Tsarist government, and then transfer power of government to the working class, which change of ruling class — from bourgeoisie to proletariat — makes possible the full development of socialism.

Hence, depending on jurisdiction, a specialist physician ( internist ) often does not achieve recognition as a specialist until twelve or more years after commencing basic medical training — five to eight years at university to obtain a basic medical qualification, and up to another nine years to become a specialist.

Hence, the question of which is the largest peninsula in Europe is a debatable one, depending on arbitrary human definitions of where the peninsulas begin — and on which century one chooses to consider: sometimes, Scandinavia as a peninsula has not existed.

Hence, correlation does not imply causation ; in example, Gould said that the measures of the changes, over time, in " my age, the population of México, the price of Swiss cheese, my pet turtle ’ s weight, and the average distance between galaxies " have a high, positive correlation — yet that correlation does not indicate that Gould ’ s age increased because the Mexican population increased.

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, e. g., a TCP segment is carried in one or more IP Layer packets, which are each carried in one or more Ethernet frames — though the mapping of TCP, IP, and Ethernet, to the layers of the OSI model is not exact.

Hence, philosophic contradiction is central to the development of dialectics — the progress from quantity to quality, the acceleration of gradual social change ; the negation of the initial development of the status quo ; the negation of that negation ; and the high-level recurrence of features of the original status quo.

Hence the great importance of the ideology justifying a society ; it politically confuses the alienated groups of society via false consciousness, such as in the case of commodity fetishism — the belief that value is inherent to a commodity, rather than external, added to it via labor.

Hence, Mata Durga is also known as Mahishasurmardhini — the slayer of Mahishasur.

Hence, introducing the formal system of logic stops the infinite regression — that is, because the regress would stop at the axioms or rules, per se, of the given game, system, etc.

" Hence he called his work Flores Historiarum — a title appropriated in the 14th century to a long compilation by various hands.

Hence, when the proletarian working-class become a sufficiently developed political force, they will effect a revolution and re-orient the relations of production to the means of production — from a capitalist mode of production to a communist mode of production.

Hence, each worker could direct his and her labour to productive work suitable to his and her innate abilities — rather than be forced into a narrowly defined, minimal-wage “ job ” meant to extract maximal profit from the labour of the individual worker, as determined by and dictated under the capitalist mode of production.

Hence he turned to South Africa — itself playing geo-political games in the region — which gave him a soft loan of 300 million rand.

Hence for Hegel and his successors, dialectics inevitably lead to the approval of the status quo — indeed, Hegel's philosophy served as a justification for Christian theology and the Prussian state.

Hence there is something — the referent of " Pegasus " — that does not exist.