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 the dawn of Newtonian science with its vision of simple mechanical principles governing the entire universe, some philosophers have been tempted by the idea that consciousness could be explained in purely physical terms.

Since opposite charges attract via a simple electromagnetic force, the negatively charged electrons that are orbiting the nucleus and the positively charged protons in the nucleus attract each other.

Since Icon uses success or failure for all flow control, this simple code:

Since it depends only on the basic mechanic of betting in rounds, strip poker can be played with any form of poker ; however, it is usually based on simple variants with few betting rounds, like five card draw.

Since has a simple pole at and stays analytic, the left hand side in the previous inequality tends to, a contradiction.

Since a pidgin language is a fundamentally simpler form of communication, the grammar and phonology are usually as simple as possible, and usually consist of:

Since many real-world programs spend most of their time executing simple operations, some researchers decided to focus on making those operations as fast as possible.

Since the dawn of computing, the sorting problem has attracted a great deal of research, perhaps due to the complexity of solving it efficiently despite its simple, familiar statement.

However, C language programming is much easier to obtain skilled people in, so most if not all new development is done in C. Since z / TPF allows assembler programs to be repackaged into 1 logical file, critical legacy applications can be maintained and actually improve efficiency-the cost of entering one of these programs will now come at the initial enter when the entire program is fetched into core and logical flow through the program is accomplished via simple branch instructions, instead of a dozen or so IBM instructions previously needed to perform what is known as ' core resident enter / back '.

Since wireframe renderings are relatively simple and fast to calculate, they are often used in cases where a high screen frame rate is needed ( for instance, when working with a particularly complex 3D model, or in real-time systems that model exterior phenomena ).

Since S is a simple group, its only quotient groups are itself and the trivial group.

Since the average value and the root-mean-square value of a waveform need not be the same, simple rectifier-type circuits may only be accurate for sinusoidal waveforms.

Since it is a proper, non-identity subgroup, the group is not simple.

Since a one sided maximal ideal A is not necessarily two-sided, the quotient R / A is not necessarily a ring, but it is a simple module over R. If R has a unique maximal right ideal, then R is known as a local ring, and the maximal right ideal is also the unique maximal left and unique maximal two-sided ideal of the ring, and is in fact the Jacobson radical J ( R ).

Since transposition does not affect the frequency of individual symbols, simple transposition can be easily detected by the cryptanalyst by doing a frequency count.

Since all of these additions were implemented as extensions to PostScript, it was possible to write simple PostScript code that would result in a running, onscreen, interactive program.

Since Head was simultaneously collaborator and experimental subject, extensive precautions were taken to make sure that no outside factors influenced his subjective appreciation of what he was perceiving: " No questions were asked until the termination of a series of events ; for we found it was scarcely possible ... to ask even simple questions without giving a suggestion either for or against the right answer ...

Since the 1950s, European integration has seen the development of a supranational system of governance, as its institutions move further from the concept of simple intergovernmentalism and more towards a European Superstate.

( Since activity coefficients tend to unity at low concentrations, activities in the Nernst equation are frequently replaced by simple concentrations.

Since the early 1800s, when feudalism was abolished in the various Italian states, it has often been granted as a simple hereditary title without any territorial designation or predicato.

Since wavelength and frequency are tied together through a simple directly inverse relationship, the two terms actually describe the same concept.

Since after Brand New Day no one knows the secret identity of Spider-Man anymore, the animosity between Jameson and Parker is retconned as a simple financial question, with Jameson's heart attack coming right after a monetary request from Peter.

Since the first nontrivial normal subgroup of the symmetric group on n letters is always the alternating group on n letters, and since the alternating groups on n letters for are always simple and non-abelian, and hence not solvable, it also says that the general polynomials of all degrees higher than the fifth also have no solution in radicals.

Since computers can make arithmetic calculations much faster and more accurately than humans, it was thought to be only a short matter of time before the technical details could be taken care of that would allow them the same remarkable capacity to process language.

Since the hour number starts over after it reaches 12, this is arithmetic modulo 12.

Since the axioms in the schema in ( 5 ) cannot be replaced by any finite number of axioms, Presburger arithmetic is not finitely axiomatizable.

Since that time, patents on various well-known arithmetic coding techniques have also expired.

Since any such axiom system would contain the finitary arithmetic as a subsystem, Gödel's theorem implied that it would be impossible to prove the system's consistency relative to that ( since it would then prove its own consistency, which Gödel had shown was impossible ).

Since the earliest days of computer architecture, some CPUs have added several additional arithmetic logic units ( ALUs ) to run in parallel.

Since the fundamental theorem of arithmetic applied to a non-zero integer n that is neither 1 nor − 1 also asserts uniqueness of the representation for p < sub > i </ sub > prime and e < sub > i </ sub > positive, a primary decomposition of ( n ) is essentially unique.

Since there are two elements in this remaining list, the median is their arithmetic mean, ( 3 + 7 )/ 2

Since then, floating-point arithmetic and " arbitrary-precision " modes have been added, the latter of which emulates an arbitrarily large mantissa in RAM.

Since arithmetic and geometric means are equal iff the variables are constant, see, inequality of arithmetic and geometric means, we establish the claim of unit modulus.

Since early times, Chinese understood basic arithmetic ( which dominated far eastern history ), algebra, equations, and negative numbers with counting rods.

Since an arithmetic operation may produce a result larger than the maximum representable value, a potential error condition may result.

Since universal codes are simpler and faster to encode and decode than Huffman codes ( which is, in turn, simpler and faster than arithmetic encoding ), the universal code would be preferable in cases where D < sub > KL </ sub >( q || p ) is sufficiently small.

Since complex scalar fields admit two different kinds of annihilation operators, which are related by conjugation, such fields describe charged bosons.

Since 31 December 2003, the system has been closed to new users, at that time, it covered 100 % of the Spanish population, but now some antennas have been given to GSM operators.

Since virtually every calculation in quantum mechanics involves vectors and linear operators, it can involve, and often does involve, bra-ket notation.

Since the live operators are cutting from one live feed to another, the physical action of the shots matches very closely.

Since the liberalization of the telecommunications market, OTE has been slowly losing market share to " alternative ", competing telecom operators, such as Vivodi, Q-Telecom, Tellas and Forthnet.

Since the early 1940s, Kingman Reef has had very little human contact, though amateur radio operators from around the world have occasionally visited the reef to put it " on the air " in what is known as a DX-pedition.

Since 1878, telephone communications were handled by telephone switchboards, staffed by telephone operators.

Since SSTV systems operate on voice frequencies, amateurs use it on shortwave ( also known as HF by amateur radio operators ), VHF and UHF radio.

Since it was used by individual operators, vehicles would vary greatly in wheel spacing ( gauge ) and the plate rail coped better.

Since the deregulation of the postal sector, different postal operators can install mail collection boxes in New Zealand's streets.

Since most of the line is single track, the extra trains display a green disk with a diagonal white line on the front to indicate to station staff and signal operators that there is a train following in the same direction

Since May 2011, the WinMX network has been under protocol level attack from a disgruntled developer who disagrees with those operating the network support infrastructure ( user support forums & peer cache operators ).

Since the early 1920s amateur radio operators, limited to lower transmitter power than commercial radio, have taken advantage of skywave for long distance or DX communication.

Since operators corresponding to different modes operate in different sub-spaces of the Hilbert space, the entire field is a direct product of over all the modes:

The binary temporal operators Since and Until were introduced by Hans Kamp in his 1968 Ph.

Since the operators are spacelike separated, a different order can only create states that differ by a phase.

Since and are second quantization operators defined in every point in space they are called quantum field operators.

Since the effects on the users of a server under a UDP can be significant, if the users want to post, the impact of a UDP can induce the operators of an offending server to address problems quickly.

Since operators charge admission to use their amenities, the Cubs asserted that they were pirating a copyrighted game — normally a license would be paid for the privilege of viewing Major League Baseball — and sued for royalties.

Since its completion, Harvie Passage has been a popular attraction for watercraft operators along the Bow while still supplying water to its irrigation district.

Since draglines are typically large, complicated and very expensive, training new operators can be a tricky process.

Since most satellite phones are built under license or the manufacturing of handsets is contracted out to OEMs, operators have a large influence over the selling price.

Since the introduction of full mobile number portability in Ireland, access codes have become less relevant as mobile telephone users may now retain their mobile telephone numbers when moving between mobile network operators.