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These traditional problems often lay unsolved for centuries, and mathematicians gradually came to understand their depth ( in some cases ), rather than treat them as puzzles.
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These and traditional
These terms have historically been applied to any astronomical object orbiting the Sun that did not show the disk of a planet and was not observed to have the characteristics of an active comet, but as small objects in the outer Solar System were discovered, their volatile-based surfaces were found to more closely resemble comets, and so were often distinguished from traditional asteroids.
These days Aleuts eat their traditional food but also with the new processed foods the outside world brought in.
These texts also share an interest in challenging traditional views of the nature of divine justice.
These bite-sized portions are prepared using traditional cooking methods such as frying, steaming, stewing and baking.
These vehicles have greater high speed mobility than traditional heavy equipment and are protected against the effects of blast and fragmentation.
These used computing power to simulate traditional analog waveforms and circuitry such as envelopes and filters.
These composers, like many of their predecessors, both made arrangements of folk songs and incorporated traditional material into original classical compositions.
These films differed from traditional westerns by being filmed in Europe on limited budgets, but featured vivid cinematography.
These can be used in most restaurants, supermarkets and traiteurs ; however, workers having lunch in this way typically do not eat all three dishes of a traditional lunch due to price and time considerations.
These include the half toe loop ( ballet jump ), half loop, half flip, walley jump, split jump ( there are two kinds of split jump, Russian split, performed in a position that is similar to that of a straddle split and ladies split performed in the position of the more traditional split, facing the direction of your front leg ), waltz jump, inside Axel, and one-foot Axel.
These anti-feminists argue, for example, that social acceptance of divorce and non-married women is wrong and harmful, and that men and women are fundamentally different and thus their different traditional roles in society should be maintained.
These included resentment of royal absolutism ; resentment by peasants, laborers and the bourgeoisie toward the traditional seigneurial privileges possessed by the nobility ; resentment of the Church's influence over public policy and institutions ; aspirations for freedom of religion ; resentment of aristocratic bishops by the poorer rural clergy ; aspirations for social, political and economic equality, and ( especially as the Revolution progressed ) republicanism ; hatred of Queen Marie-Antoinette, who was falsely accused of being a spendthrift and an Austrian spy ; and anger toward the King for firing finance minister Jacques Necker, among others, who were popularly seen as representatives of the people.
These women continued to adhere to traditional practices such as Christian burials and naming their children after saints in spite of revolutionary decrees to the contrary.
These same visible lines, accompanied by the emission lines of trivalent europium and trivalent terbium, and further accompanied by the emission continuum of divalent europium in the blue region, comprise the more discontinuous light emission of the modern trichromatic phosphor systems used in many compact fluorescent lamp and traditional lamps where better color rendition is a goal.
These products, which should not be confused with smokeless powders, aim to produce less fouling ( solid residue ), while maintaining the traditional volumetric measurement system for charges.
These other gelling agents may also be preferred for certain traditional cuisines or dietary restrictions.
These vehicles are often converted full-size station wagons that may or may not feature a traditional landau roof and bars, although in recent years, following the end of the full-size station wagon era, the preference has shifted towards minivans with slide-over landau bar panels for the third row windows.
These and problems
These problems frequently arise where a firm is making items for the Government not directly along the lines of its normal civilian business or where the Government specifications require operations that the firm did not understand when it undertook the contract.
These headquarters engineers, headed by the vice-president -- Engineering, counsel and advise divisional managers and chief engineers on product problems as well as aid with design ; ;
These artifacts do not always reveal the specific process used for solving problems, but the characteristics of the particular numeral system strongly influence the complexity of the methods.
Finding the right method for constructing such " objective " priors ( for appropriate classes of regular problems ) has been the quest of statistical theorists from Laplace to John Maynard Keynes, Harold Jeffreys, and Edwin Thompson Jaynes: These theorists and their successors have suggested several methods for constructing " objective " priors:
These problems are resolved by a brief period of cosmic inflation, which drives the universe to flatness, smooths out anisotropies and inhomogeneities to the observed level, and exponentially dilutes the monopoles.
These theories of integrative function present solutions to two classic problems associated with consciousness: differentiation and unity.
These problems are time consuming to solve, but usually faster than trying all possible keys by brute force.
These estimates assume no major breakthroughs in solving the underlying mathematical problems that ECC is based on.
These types of analytics are increasing in popularity as companies demand greater visibility into the performance of call centers and other service and support channels, in order to correct problems before they affect satisfaction levels.
These problems led to a series of crises in the 1990s, which nearly led to the election of Yeltsin's Communist challenger, Gennady Zyuganov, in the 1996 presidential election.
These seven problems are considered by CMI to be " important classic questions that have resisted solution over the years ".
These sounds are then amplified through the PA and are all the audience hears, and can be amplified to any level without the feedback problems associated with microphones.
These " post-environmental movement " thinkers argue that the ecological crises the human species faces in the 21st century are qualitatively different from the problems the environmental movement was created to address in the 1960s and 1970s.
These brute-force algorithms are computationally manageable for n = 8, but would be intractable for problems of n ≥ 20, as 20!
These cause severe spacing problems due to length and these words being used as units ( hence closely associated to the preceding figure ).
These problems, together with some conceptual puzzles, led many physicists to believe that a theory more complete than quantized general relativity must describe the behavior near the Planck scale.
0.255 seconds.