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These and assumptions
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These are reasonable assumptions with low viscosity fluids suspended in high viscosity fluids which are subjected to low rates of shear.
These assumptions and the resulting forms of the momentum equations are outlined below.
These assumptions are then used to explain why players choose Nash equilibrium strategies.
These claims are founded on assumptions about nature that constitute what is now known as local realism.
These assumptions, the cornerstones of the Bohr model, were not fully correct but did yield the correct energy answers.
These assumptions have no obvious physical foundation but led to predictions which agreed with many experimental observations, including the Arago spot.
These measures work best when returns follow normal distributions without autocorrelation, and these assumptions are often not met in practice.
These deductions are logical consequences of the stated assumptions, and are general properties of space-time, typically without regard to a consideration of properties pertaining to the structure of individual objects like atoms or stars, nor to the mechanisms of clocks.
These two assumptions together are known as the Cosmological Principle.
These assumptions cause no loss of generality.
These assumptions can be summarised as: Let ( Ω, F, P ) be a measure space with P ( Ω )= 1.
These must be made with care, because inappropriate assumptions can generate wildly inaccurate conclusions.
These assumptions involve the joint probability distributions of either the observations themselves or the random errors in a model.
These assumptions limit both the validity and the precision of the mmHg as a unit of pressure.
These assumptions are the elementary theorems of the particular theory, and can be thought of as the axioms of that field.
These deists, while maintaining individual positions, still shared several sets of assumptions and arguments that Paine articulated in The Age of Reason.
These tend to be more varied, as different assumptions can lead to vastly different types of warfare, but there has been no real concern with subdividing the genres more closely.
These assumptions are justified partly by their adherence to the types of occurrence of which we are directly conscious, and partly by their success in representing the observed facts with a certain generality, devoid of ad hoc suppositions.
These assumptions are:
These " Bloomsbury assumptions " are also reflected in members ' criticisms of materialistic realism in painting and fiction, influenced above all by Clive Bell's " concept of ' Significant Form ', which separated and elevated the concept of form above content in works of art ": it has been suggested that, with their " focus on form ... Bell's ideas have come to stand in for, perhaps too much so, the aesthetic principles of the Bloomsbury Group ".
These assumptions include the average retirement age and lifespan of the employees, the returns to be earned by the pension plan's investments and any additional taxes or levies, such as those required by the Pension Benefit Guaranty Corporation in the U. S. So, for this arrangement, the benefit is relatively secure but the contribution is uncertain even when estimated by a professional.
These assumptions are made using organizational principles, like Gestalt, an individual's ability of depth perception and motion perception, and perceptual constancy.
These illusions exploit the audience's assumptions about the physical world.
These assumptions were hotly debated within the physics community, notably with Nobel laureates Einstein on one side and Niels Bohr on the other.

These and required
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 required a longer exposure time to make the details visible.
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.

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