These authors proved, however, that no optical system can justify these suppositions, since they are contradictory to the fundamental laws of reflexion and refraction.

These seemingly contradictory discoveries made it necessary to go beyond classical physics and take the quantum nature of light into account.

These two properties are not contradictory, because in the optimal geometrical arrangement, there is more magnetic moment from the sublattice of electrons that point in one direction, than from the sublattice that points in the opposite direction.

These programs resembled the " sympathetic " yet contradictory film Dances With Wolves of 1990, in which, according to Ella Shohat and Robert Stam, the narrative choice was to relate the Lakota story as told through a Euro-American voice, for wider impact among a general audience.

These demands are contradictory and impossible to realize ( massless arms and zero-friction bearings do not exist in the real world ), so tone arm designs require engineering compromises.

These contradictory desires were evident in his policy in Italy.

These contradictory features have led to famously divided critical responses.

These two origins are not completely contradictory as the Dunlendings were descended from the Haladin who were counted the second house of the Edain.

These different aspects of adulthood are often inconsistent and contradictory.

These schema are to some extent contradictory, and it is likely that the novel would have been significantly different from any of them.

These two magical paradigms are very different, but while the individual is using one, he or she believes in it fully to the extent of ignoring all other ( often contradictory ) ones.

These roles are not necessarily contradictory or even distinguished within the Chinese religious system, which often merge multiple ancient philosophies and religions.

These primary accounts are described as contradictory and gross exaggerations.

These teachers took an approach called " classification of teaching " in an attempt to harmonize the numerous and often contradictory Buddhist texts that had come into China.

These different ways of looking at the field are not conflicting or contradictory, rather, by exploring their connections, one can often gain deeper insight into the nature of wave fields.

These exit polls produced highly contradictory preliminary reports.

These models call into question how one can simultaneously hold contradictory beliefs (" static " paradox ) and deceive oneself without rendering one's intentions ineffective (" dynamic / strategic " paradox ).

These seemingly contradictory forces in a poem create tension and paradoxical irony according to Brooks, but critics questioned whether irony leads to a poem ’ s unity or undermines it ( Leitch 2001 ).

These were Romans not under imperial control ; some of their reasons for rebellion may be indicated by the remarks of a Roman captive under Attila who was happy in his lot, giving a lively account of the vices of a declining empire, of which he had so long been the victim ; the cruel absurdity of the Roman princes, unable to protect their subjects against the public enemy, unwilling to trust them with arms for their own defence ; the intolerable weight of taxes, rendered still more oppressive by the intricate or arbitrary modes of collection ; the obscurity of numerous and contradictory laws ; the tedious and expensive forms of judicial proceedings ; the partial administration of justice ; and the universal corruption, which increased the influence of the rich, and aggravated the misfortunes of the poor.

These dates are approximate because there is contradictory information within the texts.

These messages get continually more incomprehensible or mutually contradictory until eventually all the passengers bail out.

These actions led to seemingly contradictory names such as " James City County " and " Charles City County.

These positions are contradictory to the tradition of both nationalistic and religious right wing politics in Israel.

These thought experiments try to use principles derived from the Copenhagen interpretation of quantum mechanics to derive conclusions that are seemingly contradictory.

These descriptions refer to the mathematical properties of the filter ( that is, the frequency and phase response ).

These descriptions may be used in order to derive several interesting properties.

: These are usually traditional boxes, but these " mystery " boxes have either vague starting areas, no starting areas, no descriptions, no clue -- any number of things to make the box extremely hard to find.

These descriptions include the simultaneous wave-like and particle-like behavior of both matter and radiation energy, this described in the wave – particle duality.

These latter approaches permit joint scaling of persons and assessment items, which provides a basis for mapping of developmental continua by allowing descriptions of the skills displayed at various points along a continuum.

These technologies are combined in order to provide descriptions that supplement or replace the content of Web documents.

These changes should improve quality of synthesizable VHDL code, make testbenches more flexible, and allow wider use of VHDL for system-level descriptions.

These accounts include descriptions of fever and red spots over arms, back and chest, progressing to delirium, gangrenous sores, and the stench of rotting flesh.

These descriptions were mainly based on the relative lack of timber and surface water.

These ordered descriptions eventually became Chapter 1 ( entitled Of the Valar ) for the Quenta Silmarillion ( or " The Silmarillion proper ".

These describe the observation that individuals will give high accuracy ratings to descriptions of their personality that supposedly are tailored specifically for them, but are in fact vague and general enough to apply to a wide range of people.

These books were guides to prostitution for visitors to the district's services including house descriptions, prices, particular services and the " stock " each house had to offer.

These latter texts were usually more detailed, giving names, ranks, and descriptions of demons individually and categorically.

These descriptions, usually a few sentences long, provide a summary of the source and describe its relevance.

These two descriptions may or may not imply the same thing.

These descriptions are often accompanied by a photo or photos of the organizations ' members.

She believed there to be a direct connection between the belief in and accounts of familiar spirits with these folk tales because " These fairy stories and myths originate from the same reservoir of folk belief as the descriptions of familiar-encounters given by cunning-folk and witches ".

These illustrations are drawings which depict the descriptions of the appearance of a number of demons.

These descriptions were automatically taken as valid and no further testing of a particular sensation took place.

These formulae and descriptions emphasise that his power drew on more than one source.

These sites in Kincardineshire fit the historical descriptions of Tacitus and have also yielded archaeological finds related to Roman presence.

These contain some vivid poetical descriptions, but are in the main treatises in poetical form.

These often took the form of a book with sentences to describe verbal utterances of the partners, as well as to offer brief descriptions of a scene.

These, he says, should be interpreted as literal descriptions which have changed during the passage of time and become more obscure.