Since this holds true when performing addition on any real numbers, we say that " addition of real numbers is an associative operation.

Since those boards generally lacked multiplier and voltage adjustment, and normally only supported 133 MHz FSB, adjustments would still be needed for full speed operation.

Since this depends on a choice of orientation, curl is a chiral operation.

Since Version 0. 7 ( 2008 ), it offers two modes of operation: a darknet mode in which it connects only to friends, and an opennet-mode in which it connects to any other Freenet user.

Since the lifts were not yet in operation, the ascent was made by foot, and took over an hour, Eiffel frequently stopping to make explanations of various features.

Since ancient times, hydropower has been used for irrigation and the operation of various mechanical devices, such as watermills, sawmills, textile mills, dock cranes, domestic lifts and paint making.

Since 1995 Rau was aware of his dangerous aneurysm in the abdominal aorta, but declined an operation out of respect for his office and the upcoming election as president.

Since July 2012, Odyssey has been back in full, nominal operation mode following three weeks of ' safe ' mode on remote maintenance.

Since the gradient coils are within the bore of the scanner, there are large forces between them and the main field coils, producing most of the noise that is heard during operation.

Since early gonococcal infection may be asymptomatic, regular screening of individuals at risk for common agents ( history of multiple partners, history of any unprotected sex, or people with symptoms ) or because of certain procedures ( post pelvic operation, postpartum, miscarriage or

Since this operation PLAN has sought the leadership of the ‘ Shared Awareness and Deconfliction ’ body ( SHADE ), which would require an increase in the number of vessels contributing to the anti-piracy fleet.

* Since November 1997, Slovenia has participated in its first United Nations peacekeeping operation, contributing 27 troops to an Austrian UNFICYP contingent on Cyprus.

Since Phase 2, there have been no changes to the Short Message operation packages in MAP, although other operation packages have been enhanced to support CAMEL SMS control.

Since the height of a tree corresponds to the worst-case access time, this means that the actual cost of an operation can be slow.

Since then, the name Steenbeck has become widely known in the film editing community and more than 25, 000 machines are in operation around the world.

" Since World War II, every major military action has been technically a U. S. military operation or a U. N. " police action ", which are deemed legally legitimate by Congress, and various United Nations Resolutions because of decisions such as the Gulf of Tonkin Resolution or the Authorization for Use of Force.

Since its inception in 1948, the U. S. Navy nuclear program has developed 27 different plant designs, installed them in 210 nuclear powered ships, taken 500 reactor cores into operation, and accumulated over 5, 400 reactor years of operation and 128, 000, 000 miles safely steamed.

Since the typical vector operation would involve loading a small set of data into the vector registers and then running several operations on it, the vector system of the new design had its own separate pipeline.

Since 1960, when the big pumps at the head of the California Aqueduct in the Delta began their operation, the outflow of fresh water into the Pacific has been reduced to a trickle leaving the fish confused as to where to go, resulting in many generations dying off because they have not been able to find their way upstream.

Since power varies with the cube of velocity, the power required for the operation is also less.

Since the join operation ∨ in a Boolean algebra is often written additively, it makes sense in this context to denote ring addition by ⊕, a symbol that is often used to denote exclusive or.

Since it was quite easy to stack interconnections ( wires ) inside the embedding matrix, the approach allowed designers to forget completely about the routing of wires ( usually a time-consuming operation of PCB design ): Anywhere the designer needs a connection, the machine will draw a wire in straight line from one location / pin to another.

Since the islets had an " undefined internal status ", the immigrants did not benefit from the Spanish immigration laws and, under a joint operation, Spanish troops tended to the women, children, and medical needs of the immigrants, then turned them back over to Morocco.

Since the apparatus is new, it requires experimentation and changes in technique.

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 < tt > ns1 </ tt > is contained in < tt > example. org </ tt >, this requires resolving < tt > example. org </ tt > first, which presents a circular dependency.

Since capital goods and labor are highly heterogeneous ( i. e. they have different characteristics that pertain to physical productivity ), economic calculation requires a common basis for comparison for all forms of capital and labour.

Since 1968, however, the lowest published count for power-of-two was long achieved by the split-radix FFT algorithm, which requires real multiplications and additions for.

Since annealing brass requires heating it to about 660 F ( 350 C ), the heating must be done in such a way as to heat the neck to that temperature, while preventing the base of the case from being heated and losing its hardness.

Since the people of Lesotho believe sex requires a penis, however, they do not consider their behavior sexual, nor label themselves lesbians.

Since nearly all known chemistry requires a solvent, Smalley felt that Drexler's proposal to use a high vacuum environment was not feasible.

Since the early 1980s, an elegant solution has been the near-frictionless air bearing linear arm which requires no tracking drive mechanism other than the record groove itself.

Since radio waves travel at the speed of light, accurate distance measurement requires high-performance electronics.

Since the two-round system requires more information from each voter than a single ordinal ballot provides, one can't fit the criteria that are formulated expressly for voters with ordinal preferences without making a generalization as to how the voters will behave.

Since bundle theory states that all concrete particulars are merely constructions or ' bundles ' of attributes, or qualitive properties, the substance theorist's indiscernibility argument claims that the ability to recognize numerically different concrete particulars, such as concrete objects, requires those particulars to have discernible qualitative differences in their attributes and that the metaphysical realist who is also a bundle theorist must therefore concede to the existence of ' discernible ( numerically different ) concrete particulars ', the ' identity of indiscernibles ', and a ' principle of constituent identity '.

Since the tube requires a vacuum to operate, convection cooling of the plate is not generally possible ( except in special applications where the anode forms a part of the vacuum envelope ; this is generally avoided due to the shock hazard from the anode voltage ).

Since overhead transmission wires depend on air for insulation, design of these lines requires minimum clearances to be observed to maintain safety.

Since the only known way to solve that problem requires factoring the modulus, the difficulty of Integer factorization is generally regarded as providing security.

Since the C language is not object-oriented, the IDL to C mapping requires a C programmer to manually emulate object-oriented features.

Since the flow of services from ecosystems requires that they function as whole systems, the structure and diversity of the system are important components of natural capital.

# Since the scheme requires a continual stream of investments to fund higher returns, once investment slows down, the scheme collapses as the promoter starts having problems paying the promised returns ( the higher the returns, the greater the risk of the Ponzi scheme collapsing ).

Since it requires less energy to place a satellite into a LEO and the LEO satellite needs less powerful amplifiers for successful transmission, LEO is still used for many communication applications.

Since the volume-specific corollary of the Dulong-Petit specific heat capacity relationship requires that atoms of all elements take up ( on average ) the same volume in solids, there are many departures from it, with most of these due to variations in atomic size.

Since it does not ordinarily pass through cell membranes, protein pores in cell membranes are used to provide a channel through which it can be ' pumped ' -- an activity which requires energy if done against a concentration gradient.

Since phosphorylation of any site on a given protein can change the function or localization of that protein, understanding the " state " of a cell requires knowing the phosphorylation state of its proteins.

Since the RFC requires that the SMTP-sender use the order given in the A record query, the DNS server is free to carefully manipulate its balancing based on any method, including round robin DNS, mail server load, or some undisclosed priority scheme.