These machines produce the higher quality stretch yarns required in weaving stretch and textured fabrics.

These models solve the horizon problem through an expanding epoch well before the Big Bang, and then generate the required spectrum of primordial density perturbations during a contracting phase leading to a Big Crunch.

These physical properties are then represented by tensors, which are mathematical objects that have the required property of being independent of coordinate system.

These range from simplified forms of the first-principles equations that are easier or faster to solve, to approximations limiting the size of the system ( for example, periodic boundary conditions ), to fundamental approximations to the underlying equations that are required to achieve any solution to them at all.

These crankshafts tend to be very expensive due to the large amount of material that must be removed with lathes and milling machines, the high material cost, and the additional heat treatment required.

These algorithms almost all rely on psychoacoustics to eliminate less audible or meaningful sounds, thereby reducing the space required to store or transmit them.

These officers were required to hold to account the prytanes ( councillors ), strategoi ( generals ) and hipparchoi ( cavalry officers ) of the preceding year until their accounts had been audited.

These military measures, severe as they were, did not succeed in reducing the local Druze to the required degree of subordination.

These representatives did not, however, have any means of forcing their will upon the king — except by withholding the financial means required to execute his plans .< ref > William Dawson Johnston, The history of England from the accession of James the Second Volume I, Boston and New York, Houghton, Mifflin and company, 1901.

These contrasting traditions may be vestiges of historical performance settings: large concert halls in which violins were played required more instruments, before electronic amplification, than did more intimate dance halls and houses fiddles were played in.

These may include source code, in the case of open source software, so that users can make any required or desired changes themselves.

These were carefully cut to what is approximately a face slope with a seked of 5½ palms to give the required dimensions.

These certifications hold great legal weight and are required in most states as a prerequisite to doing business there.

These battles were usually short and required a high degree of discipline.

These noblemen also required the Assembly to be dissolved through threats of war, but, instead of cowing the French, it infuriated them.

These insurers also are required to contribute to state guarantee funds, which are used to pay for losses if an insurer becomes insolvent.

These companies have more flexibility and can react faster than standard line insurance companies because they are not required to file rates and forms.

These are various forms of livelocks, when the system spends all of its time processing interrupts, to the exclusion of other required tasks.

These juries differed from the modern sort by being self-informing ; instead of getting information through a trial, the jurors were required to investigate the case themselves.

These instruments, with up to 26-35 strings, required innovations in the structure of the lute.

These high-hour ceilings, combined with a competitive job market, often motivate American workers to work more hours than required.

These exams last up to three hours, and may cover any required or elective course offered by the major department.

These subsets, called ' Profiles ', limit the size of the tool set a decoder is required to implement.

These magnets are widely used in such products as microphones, professional loudspeakers, in-ear headphones, and computer hard disks, where low magnet mass or volume, or strong magnetic fields are required.

These finishes protect the adobe wall from water damage, but need to be reapplied periodically, or the walls can be finished with other nontraditional plasters providing longer protection.

These Articles ( though no longer binding ) have had an influence on the ethos of the Communion, an ethos reinforced by their interpretation and expansion by such influential early theologians as Richard Hooker, Lancelot Andrewes, John Cosin, and others.

These single-cell fibers of the sciatic nerve may extend a meter or even longer.

These three cuisines have become so ingrained in the American culture that they are no longer foreign to the American palate.

These drugs stop production of stomach acid and provide longer lasting relief but they do not neutralize any stomach acid already present in the stomach.

These elections constitutionally must be held no longer than every five years apart, however elections can be called whenever the Government so chooses to seek a new mandate or loses a vote of no confidence in Parliament.

These may be day trips or longer excursions incorporating hotel stays.

These longer strips include The Bash Street Kids Adventures written and drawn by Kev F Sutherland which since 2004 have featured parodies of famous comic strip images, including Amazing Fantasy's first Spider-Man cover, Action Comics ' first Superman cover, and most recently the cover of X Men # 100.

These canals known as contour canals would take longer winding routes, along which the land was a uniform altitude.

These " theoretical radionuclides " have half-lives at least 100 million times longer than the estimated age of the universe.

These longer chain acids tend to be rather soluble in less-polar solvents such as ethers and alcohols.

These electrons are bound to the metal lattice but no longer to an individual atom.

These higher speeds better serve the longer distances involved.

These groups are sometimes referred to as ex-gay organizations, though many no longer use the term.

These atoms could no longer absorb the thermal radiation, and the universe became transparent instead of being an opaque fog.

These discs are usually faster, more stable, and have a longer range than a putter.

These terms, like their relatives in other European languages, are no longer clearly distinguished in popular folklore.

These preprocesors would typically support structured programming, variable names longer than six characters, additional data types, conditional compilation, and even macro capabilities.

These nerves are longer in the giraffe than in any other living animal ; the left nerve is over long.

These are sometimes described as intercalary, although the word intercalation strictly applies only to periods of 24 hours or longer.

These animals were thought to be the evolutionary predecessors of monkeys and apes, but this is no longer considered correct.

These Pacific-oriented rivers are longer and slower running than those of the Caribbean side.

These developments supported Francia's policy of economic self-sufficiency, no longer being reliant on another nation.

These precautions do not completely eliminate reflection because of diffraction, especially at longer wavelengths.