Since there is a continual loss of micrometeoritic material in space because of the radiation effects, there must be a continual replenishment: otherwise, micrometeorites would have disappeared from interplanetary space.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Since the earth is rotating and the unleveled gyro-stabilized platform is fixed with respect to a reference in space, an observer on the earth will see the platform rotating ( with respect to the earth ).

Since the block headers occupied space, the usable capacity of the drive was dependent on the block size.

Since there are infinitely many vectors in the basis, this is an infinite-dimensional Hilbert space.

Since commercial signage usually has limited physical space, signage is normally in French alone.

Since a maximal ideal in A is closed, is a Banach algebra that is a field, and it follows from the Gelfand-Mazur theorem that there is a bijection between the set of all maximal ideals of A and the set Δ ( A ) of all nonzero homomorphisms from A to C. The set Δ ( A ) is called the " structure space " or " character space " of A, and its members " characters.

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 the map d restricts to 0 on I < sub > x </ sub >< sup > 2 </ sup > ( the reader should verify this ), d descends to a map from I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup > to the dual of the tangent space, ( T < sub > x </ sub > M )< sup >*</ sup >.

Since the subarachnoid space around the brain and spinal cord can contain only 135 to 150 ml, large amounts are drained primarily into the blood through arachnoid granulations in the superior sagittal sinus.

Since Cauchy sequences can also be defined in general topological groups, an alternative to relying on a metric structure for defining completeness and constructing the completion of a space is to use a group structure.

Since the corona has been photographated at high resolution in the X-rays by the satellite Skylab in 1973, and then later by Yohkoh and the other following space instruments, it has been seen that the structure of the corona is very various and complex: different zones have been immediately classified on the coronal disc

Since traditional " Euclidean " space never reaches infinity, the projective equivalent, called extended Euclidean space, must be formed by adding the required ' plane at infinity '.

Since work is defined as a force acting through a distance ( a length of space ), energy is always equivalent to the ability to exert pulls or pushes against the basic forces of nature, along a path of a certain length.

Since Euclidean space is a metric space it is also a topological space with the natural topology induced by the metric.

Since this implies that one particle is communicating with the other instantaneously across space, i. e. faster than light, this is the " paradox ".

Although catalysis of the peptide bond involves the C2 hydroxyl of RNA's P-site ( see Function section below ) adenosine in a protein shuttle mechanism, other steps in protein synthesis ( such as translocation ) are caused by changes in protein conformations. Since their catalytic core is made of RNA, ribosomes are classified as " ribozymes ," and it is thought that they might be remnants of the RNA world.

" Since no more operational Saturn V rockets were available after the Apollo program, four to five shuttle flights and extensive space architecture would have been needed to build another station as large as Skylab's volume.

Since the demise of the shuttle program at Vandenberg, SLC 6 was once again been reconfigured, this time to support polar-orbit satellite launches by the new Delta IV family of launch vehicles, utilizing a Common Core Booster for class sizes all the way up to and including the Delta IV ( Heavy ) launcher.

Since 24 September 2000, the series 310 runs the InterCitySlovenija ( ICS ) service, linking the major cities of Slovenia in one line: Koper ( only in summer ), Ljubljana, Zidani Most, Celje and Maribor, with a frequent service that acts as a high-speed shuttle.

Since the principal architect of HAL was Jim Miller, who co-authored with Hal Laning a report on the MAC system, it is a reasonable speculation that the space shuttle language is named for Jim's old mentor, and not, as some have suggested, for the electronic superstar of the Arthur Clarke movie " 2001-A Space Odyssey.

Since its crew joined Andromeda, the Maru was traditionally kept in Andromedas shuttle bays, being used when the crew need to carry out scouting missions or sneak attacks due to its smaller size.

Since the loss of Columbia in STS-107, it had been suggested that on future shuttle missions there would be a planned rescue capability involving having a second shuttle ready to fly at short notice.

Since manned space flight was one of the primary reasons for building TDRSS, the space shuttle and International Space Station voice communications are routed through the system.

Since 1918, three shuttle tracks have served it ; the southbound express track was removed and replaced by a temporary wooden platform for access to the original northbound express track.

Since 1985, the terminal has been used primarily for shuttle services between New York and Boston and Washington D. C.

Since 2009 Takao Doi, a former Japanese astronaut and a veteran of two NASA space shuttle missions, is chief of Space Applications section of the Office.

Since the opening of the new airport in the town of Cabatuan, air-conditioned airport shuttle vans have served the passengers, crew and the employees of Iloilo Airport from the designated strategic locations in the city, such as in SM City Iloilo and Plaza Jaro.

Since the state ( and ultimately the ship's insurers ) bore the expense of the passenger ferries and shuttle services, some commuters found budget savings in their commuting expenses as a meaningful offset to the inconvenience.

Since then, several Franklin and Providence / Stoughton Line trips have been rerouted via the Fairmount Line to reduce load on the three-track Southwest Corridor and supplement the shuttle service.

Since the 2000s, Minnetonka has actively tried to recruit a more diverse student body through advertising and shuttle services to inner regions of the Twin Cities metropolitan area.

Since the first shuttle EVA in 1983, 216 U. S. astronauts have performed a total of 74 shuttle EVAs, combining for greater than 470 hours in space.

Since Katrina, the 9th Ward has witnessed an uneven resurgence, with the Vietnamese community in New Orleans East establishing themselves as a dining destination and commercial hub, even as Vietnamese and other fishermen further down the Parish are suffering from the BP oil spill of April 20, 2010 and despite the projected shuttering of NASA's Michaud facility with the retirement of the current space shuttle fleet.

Since 2004 the shuttle 2. 01 had been left under open sky on a car park in Moscow, near Khimki Reservoir.

Since 2007, Rygge Station has also served as an airport rail link via a shuttle bus to the near-by Moss Airport, Rygge.

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 it was his long-standing advocacy of Athenian naval power which enabled the Allied fleet to fight at all, and it was his stratagem that brought about the Battle of Salamis, it is probably not an exaggeration to say, as Plutarch does, that Themistocles " is thought to have been the man most instrumental in achieving the salvation of Hellas ".

Since 2000, double decker buses have been introduced to the fleet and have become an icon for the city.

Since either of these options would require the assistance of the French fleet then in the West Indies, a ship was dispatched to meet with French Rear Admiral François Joseph Paul, comte de Grasse who was expected at Cap-Français ( now known as Cap-Haïtien, Haiti ), outlining the possibilities and requesting his assistance.

Since the then-new Standard Stock was too large to work in the line's tunnels, it was decided to modernise the existing fleet.

Since then Piraeus was permanently used as the navy base for the developed and powerful fleet of Athens.

Since 1941, the advanced pressurised Lockheed Constellation had been under development, and in 1946 BOAC was permitted to use dollars to purchase an initial fleet of five for the prestigious North Atlantic route ( there were no equivalent British types available ).

Since the Polish kings tried to create a fleet at Danzig, but independent Hanseatic Danzig would not allow them in their territory, some ships chartered by Poland had to land at Pautzke ( Puck ) in 1567.

Since the fleet speed was ten knots, they were soon far away from the Spanish batteries.

Since 2000, the airline has operated a fleet consisting entirely of de Havilland Canada / Bombardier Dash 8 aircraft.

Since then, its grounded fleet was gradually returned to lessors.

Since the mathematical problems stemming from nontrivial fleet scheduling easily become computationally unsolvable, the PONTIFEX idea consisted in a seamless merge of algorithms and heuristic knowledge embedded in rules.

Since Tacitus also said the Suiones had a powerful fleet, it might have been based on the leidang.

Since the Royal Navy of that era possessed the largest network of bases around the world of any fleet, the RFA at first took a relatively minor role.

Since the Dutch had invested large sums in financing sugar production in the Brazilian Northeast, a conflict began with Dutch privateers plundering the coast: they sacked Salvador in 1604, from which they removed large amounts of gold and silver before a joint Spanish-Portuguese fleet recaptured the town.

Since privatisation, three of the old railway boats are operated by Windermere Lake Cruises Ltd, along with a fleet of smaller and more modern launches.

Since its founding in 1947, Copa Airlines had several liveries during the update of its fleet from turboprops to jetliners.

Since the submarine tender, based in La Maddelena in Sardinia, changed homeports to Bremerton, Washington, the fleet has just one permanently assigned ship, the Mount Whitney.

Since the latter was a very long and slow route, this put the Italian fleet in an excellent position to interdict British supplies and reinforcements.

Since the Allied fleet was badly damaged, and since it no longer needed to defend the flank of Thermopylae, the Allies retreated from Artemisium to the island of Salamis.

Since the Moties are helpless for so long after a Jump, the ships of the human fleet can easily destroy any blockade runners with their laser weaponry, especially within the superheated photosphere of Murcheson's Eye.

Since the acquisition by US Airways, PSA has transitioned from a fleet of Dornier 328 turboprop aircraft to a fleet of Bombardier Canadair Regional Jets.

Since 2006, artisanal fleet catches have fluctuated between 2, 091t and 1, 558t per annum.