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Page "Stone–Čech compactification" ¶ 39
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Since and is
Since the Supreme Court's decision of that year this is more doubtful ; ;
( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.
Since it is not far from Viareggio, he will visit Puccini's house, as he never fails to do, to pay his respects to the memory of the composer of La Boheme, which he considers one of Puccini's masterpieces.
Since attack serves to stimulate interest in broadcasts, I added to my opening statement a sentence in which I claimed that German youth seemed to lack the enthusiasm which is a necessary ingredient of anger, and might be classified as uninterested and bored rather than angry.
Since the air is a continuum, the network of communication remains intact regardless of the positions or motions of the points ( the people ) in the net.
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 difficulty of drawing the net is great, we will merely discuss it.
Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.
Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Since more is known about Quiney than about any other acquaintance of Shakespeare in Stratford, his career may be followed to its sudden end in 1602.
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 Laos is of no more purely military value to Moscow itself than it is to Washington, this approach might be expected to head off Mr. Khrushchev for the moment.
Since little is known about autism, and almost nothing has been written for the layman, we'd like to share one experienced mother's comments.
Since the work is done by hand, the only limitation, it is said, `` is that of human conception ''.
Since the apparatus is new, it requires experimentation and changes in technique.
Since the obvious is not always true, the Republican National Committee wisely analyzed its defeat of last autumn and finds that it occurred, as suspected, in the larger cities.
Since he has just shown who is top dog, he may not be ready to receive this highest honor in the gift of the Soviet people.
Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.
Since the goal of our international planners is a World Government, this Atlantic Community would mark a giant step in that direction for, once American economic autonomy is absorbed, a larger grouping is a question of time.

Since and discrete
Since the energy levels of electrons in atoms are discrete, each element and each molecule emits and absorbs its own characteristic frequencies.
Since there is generally a clear separation between the browser and the plug-in, the results are discrete objects embedded within a webpage.
( Since the sub-structure is usually represented in the computer by a set of integer variables with constraints, these problems can be viewed as special cases of constraint satisfaction or discrete optimization ; but they are usually formulated and solved in a more abstract setting where the internal representation is not explicitly mentioned.
Terminal objects in a category C may also be defined as limits of the unique empty diagram ∅ → C. Since the empty category is vacuously a discrete category, a terminal object can be thought of as an empty product ( a product is indeed the limit of the discrete diagram
Since it is of the discrete form, then the absorption coefficient and CD of the line are given by
Since Rader's algorithm only depends upon the periodicity of the DFT kernel, it is directly applicable to any other transform ( of prime order ) with a similar property, such as a number-theoretic transform or the discrete Hartley transform.
Since there is generally a clear separation between the browser and the plug-in, the results are discrete objects embedded within a webpage.
Since displays have a discrete number of points, the frequency span measured is also discretized.
Since T is compact, the topology on the dual group is that of uniform convergence, which turns out to be the discrete topology.
Since every map from a discrete space is continuous, the topological homomorphisms between discrete groups are exactly the group homomorphisms between the underlying groups.
Since topological groups are homogeneous, one need only look at a single point to determine if the topological group is discrete.
Since the only Hausdorff topology on a finite set is the discrete one, a finite Hausdorff topological group must necessarily be discrete.
Since the intensity function of a digital image is only known at discrete points, derivatives of this function cannot be defined unless we assume that there is an underlying continuous intensity function which has been sampled at the image points.
Since a digital computer is a discrete system, the Laplace transform is replaced with the Z-transform.
Since the early days, it has been recognized that the PIC method is susceptible to error from so-called discrete particle noise.
Since BGL ( R )< sup >+</ sup > is path connected and K < sub > 0 </ sub >( R ) discrete, this definition doesn't differ in higher degrees and also holds for n = 0.
Since the discrete logarithm problem reduces to Gauss sum estimation, an efficient classical algorithm for estimating Gauss sums would imply an efficient classical algorithm for computing discrete logarithms, which is considered unlikely.
Since the term was first coined by archaeologists, further excavation and analysis has indicated that it consisted of several discrete cultures such as the Hembury and the Abingdon cultures ; and that " Windmill Hill culture " is too general a term.
Since his retirement from the Puerto Rico Supreme Court, he announced that he would abstain from political activity for one year, and on March 14, 2006 announced that within a month would begin attending New Progressive Party of Puerto Rico meetings, as former party president, to provide discrete advice.
Since a discrete signal is a sequence ( merely a series of symbols ; typically, numbers ) it contains no direct information as to determine the frequency of the corresponding continuous signal.

is and discrete
In many cases it is not possible to divide the process into a finite number of discrete stages, since the state of the stream is transformed in a continuous manner through the process.
This is the most common conception, and it attempts to describe a task in discrete, " mechanical " means.
Computers ( and computors ), models of computation: A computer ( or human " computor ") is a restricted type of machine, a " discrete deterministic mechanical device " that blindly follows its instructions.
The concept that matter is composed of discrete units and cannot be divided into arbitrarily tiny quantities has been around for millennia, but these ideas were founded in abstract, philosophical reasoning rather than experimentation and empirical observation.
It differs from a digital signal, in which a continuous quantity is represented by a discrete function which can only take on one of a finite number of values.
For an example of its use, analysis of the concentration of elements is important in managing a nuclear reactor, so nuclear scientists will analyze neutron activation to develop discrete measurements within vast samples.
Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry.
That is, the discrete molecular nature of a gas is ignored.
The discrete equivalent of the notion of antiderivative is antidifference.
The same result is true if the discrete point masses discussed above are replaced by a continuous distribution of matter.
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.
For example, an 8-bit CPU deals with a range of numbers that can be represented by eight binary digits ( each digit having two possible values ), that is, 2 < sup > 8 </ sup > or 256 discrete numbers.
It is a form of intellectual property ( like the patent, the trademark, and the trade secret ) applicable to any expressible form of an idea or information that is substantive and discrete.
These sheets are rolled at specific and discrete (" chiral ") angles, and the combination of the rolling angle and radius decides the nanotube properties ; for example, whether the individual nanotube shell is a metal or semiconductor.
The conspiracy is held to be responsible for a limited, discrete event or set of events.
Costume jewelry is considered a discrete category of fashion accessory, and displays many characteristics of a self-contained industry.
The work factor for breaking Diffie-Hellman is based on the discrete logarithm problem, which is related to the integer factorization problem on which RSA's strength is based.
The Copenhagen Interpretation denies that the wave function is anything more than a theoretical concept, or is at least non-committal about its being a discrete entity or a discernible component of some discrete entity.

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