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Since and only
Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.
Since the great flood of these dystopias has appeared only in the last twelve years, it seems fairly reasonable to assume that the chief impetus was the 1949 publication of Nineteen Eighty-Four, an assumption which is supported by the frequent echoes of such details as Room 101, along with education by conditioning from Brave New World, a book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.
Since the work is done by hand, the only limitation, it is said, `` is that of human conception ''.
Since two of these could be trustees of the college, actually it would be necessary to have the consent of only one elected official to impose a levy of millions of dollars of tax revenue.
Since the Santo Spirito hospital had taken only men, he had had no experience in the study of female anatomy ; ;
Since the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.
Since it requires only five players, it would seem to fall into the category of chamber music -- yet it calls for a double bass, an instrument generally regarded as symphonic.
Since the same method of shaping and fitting the dogs and notches is used throughout, we will only describe the construction of one locking bar.
Since the writer had not noticed this characteristic in married students scattered throughout the various sections previous to this experiment, nor, as a matter of fact, in those who were continuing in `` single sections '', he can only conclude that there must have been something `` contagious '' within the specific group which caused this to occur.
Since this book is concerned only incidentally with railroad rates, it will not attempt to analyze the methods by which the staff of the Interstate Commerce Commission has estimated out-of-pocket costs and apportioned residue costs.
Since the company under review is supplying what we are here regarding as only one kind of service, we might suppose that the problem of total cost apportionment would be very simple ; ;
Since then, many Protestant denominations have made separate pronouncements, in which they not only approved birth control, but declared it at times to be a religious duty.
Since the 1946 disaster there have been 15 tsunami in the Pacific, but only one was of any consequence.
Since the A.L.A.M. holdings embraced only about twenty-five per cent of motor vehicle patents, the denial of rights to independent companies did not retard technical progress in unlicensed sectors of the industry.
Since Mrs. Calhoun remembered only that the marriage had been in the spring, he started to plod through several months.
Since 1949, the only National League club that got off to a hot start and made a runaway of the race was the '55 Dodger team.
Since P was never asserted as the only sufficient condition for Q, other factors could account for Q ( while P was false ).
Since the minting of coins was a prerogative accorded in Islamic practice only to a sovereign, it can be considered that Osmanli became independent of the Mongol Khans.
Since her adulteress mother was his own sister, Afonso V had not only ambition, but the family honour to protect.
Since the difference between the U. S. and International acre is only about a quarter of the size of an A4 sheet of paper ( 0. 016 square metres, 160 square centimetres or 24. 8 square inches ), it is usually not important which one is being discussed.
Since she was Raymond's only child, they became rulers of Toulouse at Raymond's death in 1247.
Since there are only seven hotel chains in the game, placing a tile that would create an eighth chain is not permitted.
Since the implementation of the Statute of Westminster 1931 in each of the Commonwealth realms ( on successive dates from 1931 onwards ), the Act of Settlement cannot be altered in any realm except by that realm's own parliament and, by convention, only with the consent of all the other realms, as it touches on the succession to the shared throne.
Since this office was a stepping stone to higher office and the Senate, it helped to ensure that only wealthy individuals ( mostly landowners ) would win election to high office.
Since the aircraft normally approached these speeds only in a dive, pilots would report the aircraft attempting to nose over into the ground.

Since and Hausdorff
Since every compact Hausdorff space is a Tychonoff space, and every subspace of a Tychonoff space is Tychonoff, we conclude that any space possessing a Hausdorff compactification must be a Tychonoff space.
* Since every profinite group G is compact Hausdorff, we have a Haar measure on G, which allows us to measure the " size " of subsets of G, compute certain probabilities, and integrate functions on G.
Since C is Hausdorff and separable it follows that C has cardinality equal to 2 < sup > ℵ < sub > 0 </ sub ></ sup > — the same cardinality as the cardinality of the reals.
Since every subspace of a compact Hausdorff space is Tychonoff one has:
Since a Hausdorff space is the same as a preregular T < sub > 0 </ sub > space, a regular space that is also T < sub > 0 </ sub > must be Hausdorff ( and thus T < sub > 3 </ sub >).
Since compacta in X are finite subsets, all compact subsets are closed, another condition usually related to Hausdorff separation axiom.

Since and topology
Since Euclidean space is a metric space it is also a topological space with the natural topology induced by the metric.
Since radio circuits inherently possess a broadcast network topology ( i. e., many or all nodes are connected to the network simultaneously ), one of the first technical challenges faced in the implementation of packet radio networks was a means to control access to a shared communications channel.
Since the bus topology consists of only one wire, it is rather inexpensive to implement when compared to other topologies.
* Since it is a variation of bus topology, if the backbone fails, the entire network is crippled.
Since the topology on R < nowiki ></ nowiki > X < nowiki ></ nowiki > is the ( X )- adic topology and R < nowiki ></ nowiki > X < nowiki ></ nowiki > is complete, we can in particular apply power series to other power series, provided that the arguments don't have constant coefficients ( so that they belong to the ideal ( X )): f ( 0 ), f ( X < sup > 2 </ sup >− X ) and f ( ( 1 − X )< sup >− 1 </ sup > − 1 ) are all well defined for any formal power series f ∈ R < nowiki ></ nowiki > X < nowiki ></ nowiki >.
Since the latter matrices can be uniquely expressed as the exponential of symmetric traceless matrices, then this latter topology is that of ( n + 2 )( n-1 )/ 2 dimensional Euclidean space.
Since QuickRing was built in a ring topology there was no need for a dedicated switch or router, potentially making the system lower cost to deploy.
Since Y is reflexive, the continuous dual of is equal to the image J ( X ) of X under the canonical embedding J, but the topology on X is not the strong topology, that is equal to the norm topology of Y.
Since the overall chemical composition and connectivity of the DNA does not change, the tangled and untangled DNAs are chemical isomers, differing only in their global topology, thus their name.
Since T is compact, the topology on the dual group is that of uniform convergence, which turns out to be the discrete topology.
Since polynomials over a field K are zero on finite sets, or the whole of K, the Zariski topology on K ( considered as affine line ) is the cofinite topology.
The use of a rat sequence also confirmed this topology and estimated date of divergence from the swine / human strains was 7. 44 × 10 < sup > 4 </ sup > years ago ( range 2. 1 × 10 < sup > 4 </ sup > to 1. 4 × 10 < sup > 5 </ sup > years ago ) Since this date is approximately coincident with the advent of agriculture it may be that this virus originally infected rats and subsequently spread to pigs and then to humans.
Since the weak operator topology is weaker than the strong operator topology, it is also immediate that ii ) ⇒ iii ).
Since G is compact in this topology, there is a unique Haar measure μ on G. For every prime v of K not in S there is an associated Frobenius conjugacy class F < sub > v </ sub >.
Since railways are entirely linear in topology, the " mileage " is sufficient to identify a place uniquely on any given route.
Since addition and multiplication are continuous operations with respect to the usual topology of the plane, the split-complex numbers form a topological ring.
Since link-state routing requires the topology database to be synchronized across the network, OSPF and IS-IS perform topology flooding using a reliable algorithm.

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