(" the truth-values of our mathematical assertions depend on facts involving platonic entities that reside in a realm outside of space-time ") Whilst our knowledge of concrete, physical objects is based on our ability to perceive them, and therefore to causally interact with them, there is no parallel account of how mathematicians come to have knowledge of abstract objects.

Whilst the magnification of both the field ion and atom probe microscopes is extremely high, the exact magnification is dependant upon conditions specific to the examined specimen, so unlike for conventional electron microscopes, there is often little direct control on magnification, and furthermore, obtained images may have strongly variable magnifications due to fluctuations in the shape of the electric field at the surface.

Whilst there, the Greek army surprised and outmaneuvered Artaphernes, marching to Sardis and burning the lower city.

Whilst there, the Queen met with Bernard of Clairvaux, demanding that he have the excommunication of Petronilla and Raoul lifted through his influence on the Pope, in exchange for which King Louis would make concessions in Champagne, and recognise Pierre de la Chatre as archbishop of Bourges.

Whilst human geography is interdisciplinary, there are a number of journals with a human geography focus.

Whilst prices have reduced and availability has increased considerably since the introduction of competition, there is little sign of TPSA's market share being seriously reduced.

Whilst Anglican priests who are members of religious orders must remain celibate ( although there are exceptions, such as priests in the Anglican Order of Cistercians ), the secular clergy – ( bishops, priests, and deacons who are not members of religious orders ) – are permitted to marry before or after ordination.

Whilst on the surface the new Potsdamer Platz appears so far to have lived up to its expectations as a futuristic centre of commerce at the heart of Europe's youngest capital city, there has been much debate as to just how successful it really is.

Whilst the action of rowing and equipment used remains fairly consistent throughout the world, there are many different types of competition.

Whilst there is little evidence to invalidate the letter as a whole, both the recipient ( s ) of the letter and whether such a letter actually nominates Barbastro as the first ' crusade ' are still a matter of dispute.

Bahā ' ad-Dīn writes, " Whilst we were there they brought two Franks to the Sultan ( Saladin ) who had been made prisoners by the advance guard.

Whilst the terms spirituality and religion both relate to a search for an Absolute or God, and thus have much overlap, there are also characteristic differences in their usage.

Also in S6: E5 Whilst the boys are watching the TV there are many cans of soda with the name " ZOOP " on them.

Whilst the styles were similar, there are some notable differences between both Rococo and Baroque architecture, one of them being symmetry, since Rococo emphasised the asymmetry of forms, whilst Baroque was the opposite.

(" the truth-values of our mathematical assertions depend on facts involving platonic entities that reside in a realm outside of space-time ") Whilst our knowledge of concrete, physical objects is based on our ability to perceive them, and therefore to causally interact with them, there is no parallel account of how mathematicians come to have knowledge of abstract objects.

Whilst there his task is a simple assignment to investigate the disappearance of Commander John Strangways, the head of MI6 Station J in Kingston, Jamaica, and his secretary.

Whilst anchored in Cumberland Bay, Robinson Crusoe Island, the Dresden was trapped and forced to scuttle after fighting a battle there with the British.

Whilst there, he met the American composers George Gershwin and Irving Berlin and brought Dédé to Broadway in 1922.

Whilst this elm has little innate resistance to Dutch elm disease, it is not favoured by the vector bark beetles and thus only becomes colonized and infected when there are no other choices, a rare situation in western Europe.

Whilst there, Telemachus is again treated as an honored guest as Menelaus and Helen tell complementary, yet contradictory stories of his father's exploits at Troy.

Whilst working at the Institute, Childe took up residence at Lawn Road Flats near to Hampstead, an apartment block perhaps recommended to him by the popular crime fiction author Agatha Christie ( the wife of his colleague Max Mallowan ), who had lived there during the Second World War.

Whilst there is no specific form of words provided for such proclamations, they must be made ' in the Queen's name '.

Whilst the idea that there is some objective sense in which time is flowing can be denied, the fact that conscious beings feel as though it is in some sense flowing cannot.

" Whilst there, Lumley was hailed ' Daughter of Nepal ' by the crowds of fans at the airport.

Whilst MIFF remains mostly a non-competitive festival, since 1962 it has staged a highly regarded short film competition.

Whilst American pop success proved elusive, the group made regular appearances in the UK Singles Chart, including the Top Ten twice with "( Do The ) Spanish Hustle " and " I Found Lovin '".

Whilst on furlough in Paris, Marceau joined in the storming of the Bastille on 14 July 1789 – after that event he took his discharge from the regular army and returned to Chartres, but the opposition of his family soon compelled him to seek new military employment.

Whilst Spearritt was a member of S Club she was a regular pin-up in dozens of magazines and was a regular in the FHM Top 100 Sexiest Women polls between 2000 and 2004.

Whilst Tawney remained a regular Churchgoer, his Christian faith remained a personal affair, and he rarely spoke publicly about the basis of his beliefs.

Whilst only the short section between Cromer Beach and Sheringham remains open to regular services, the section of branch line between Sheringham and Holt is operated as the North Norfolk Railway.

Whilst Bell, Flynn and Taylor were released in 2005 and 2006 without making an appearance for Sunderland, Brown made his debut the same day his fine was announced on September 21, 2004, and remained a first-team regular until his departure from the club.

Whilst Aunt Mimi was a regular member of the congregation, Lennon ’ s visits to church were less frequent, but he was a member of the youth group and sang occasionally in the choir at weddings.

Whilst there is a rail connection between the two lines, there are no regular passenger trains between the two stations.

Whilst John, Tony, Stephen, Doug and Rosie depart the series early on the O ' Brien family, Roger Carlyle, Luke Carlyle, Irene Fisher, Todd Fisher and Karen Fox arrive and Charlie Bartlett becomes more of a series regular and both Angela Keegan and Paul Shepherd make cameo appearances during this series.

Whilst at Barnwood Needham took part in the regular entertainments and concerts, once playing the part of King Giltgingerbread in The Enchanted Princess ; wrote a number of papers, including Brain Exhaustion and Insanity in relation to Society ; and was president of the Psychological Association of Great Britain and Ireland in 1887.

Whilst at Sugar Irvin was involved in bringing the teenage Peaches Geldof onto the journalist team within Hachette that led to Peaches ' regular column in sister title Elle Girl.

Whilst the player is in cyberspace instead of taking damage to regular Health Points, Energy is lost when various actions are performed.

Whilst the artificial mastoid, as part of an audiometric calibration system, is used to calibrate the bone vibrator force output of audiometers, the sensitivity of the testing system and the mechanical impedance of the ‘ dome ’ is prone to drift and hence also requires regular calibration.

Whilst Schwitters still created work in an expressionist style into 1919 ( and would continue to paint realist pictures up to his death in 1948 ), the first abstract collages, influenced in particular by recent works by Hans Arp, would appear in late 1918, which Schwitters dubbed Merz after a fragment of found text from the sentence Commerz Und Privatbank in his picture Das Merzbild, Winter 1918 – 19.

Whilst these works were usually collages incorporating found objects, such as bus tickets, old wire and fragments of newsprint, Merz also included artist's periodicals, sculptures, sound poems and what would later be called " installations ".

Whilst editor of the paper, Marx and the other revolutionary socialists were regularly harassed by the police, and Marx was brought to trial on several occasions, facing various allegations including insulting the Chief Public Prosecutor, committing a press misdemeanor, and inciting armed rebellion through tax boycotting, although each time he was acquitted.

Whilst his work was far less political than key figures in Berlin Dada, such as George Grosz and John Heartfield, he would remain close friends with various members, including Hannah Hoch and Raoul Hausmann for the rest of his career.

Whilst only a few economics graduates may be expected to become professional economists, many find it a base for entry into a career in finance – including accounting, insurance, tax and banking, or management.

Whilst some of these such as emotional distress ( fear of abuse or exploitation ) and sexually transmitted diseases ( including HIV / AIDS ) are not necessarily inherent to adolescence, others such as pregnancy ( through non-use or failure of contraceptives ) are seen as social problems in most western societies.

Whilst many have an entry charge, more than 250 properties are free to enter including Maiden Castle, Dorset and St Catherine's Oratory.

Whilst he made no commercial recordings with the orchestra, he and the BSO toured the United States, including their debut at Carnegie Hall in April 1997.

Whilst at Cambridge he wrote much poetry and won several prizes, including the Chancellor's Gold Medal in June 1821.

Whilst accepting that ' there is certainly confusion between persecutory fantasies and persecutory realities ', figures like David Cooper considered that ' ideas of connection with apparently remote people, or ideas of being influenced by others equally remote, are in fact stating their experience ' of social influence-albeit in a distorted form by ' including in their network of influence institutions as absurd as Scotland Yard, the Queen of England, the President of the United States, or the B.

Whilst e-Government has traditionally been understood as being centered around the operations of government, e-Governance is understood to extend the scope by including citizen engagement and participation in governance.

Whilst receiving a highly positive reception from the pro-British islanders ( who regard her mother as a heroine ), her reception in Argentina provoked protests and demonstrations ( including the cry " your mother is a war criminal !").

Whilst the First Foundation was strong in the physical sciences, the Second Foundation was strong in the mental sciences, including the continued development of psychohistory.

Whilst the USSR is neutral, any German aggression in the East, including penetration of Balkan countries, triggers a Russian ( sic ) Reaction Roll, which may allow the Soviets to intervene and makes the eventual German attack of Summer 1941 less likely to achieve surprise ( in which Soviet armour have no Zone of Control and infantry defend only at face value ).

Whilst there, as chairman of the Cambridge University Conservative Association and later President of the Cambridge Union Society, he was a member of what became known as the Cambridge Mafia – a group of future Conservative Cabinet ministers, including Leon Brittan, Michael Howard, Kenneth Clarke, Norman Lamont, and Norman Fowler.

Whilst working at the Tate, he tried to promote the work of the contemporary artists of the day, including artists such as Picasso and Mondrian.

Whilst the word church is used to refer to a Christian place of worship by some Christian denominations including Anglicans and Roman Catholics, other Christian denominations, including the Religious Society of Friends, Mennonites, Christadelphians, and some unitarians, object to the use of the word church to refer to a building, as they argue that this word should be reserved for the body of believers who worship there.

Whilst various institutions, including the Royal Society, were debating whether to raise funds to purchase " Orffyreus's Wheel " ( for which he demanded twenty thousand pounds ),'s Gravesande examined the axle of the wheel, concluding that he could see no way in which power could be transmitted to it from the outside.

Whilst in Sierra Leone, Christine Wood shows Stephen Maturin a prodigious amount of wildlife, including:

Whilst Montrose was being led to his death Leslie dispatched five troops of horse, including some from Holborne ’ s and the John Gordon, 14th Earl of Sutherland's regiments to Dunbeath Castle.

Whilst producing the Evita album, Tim Rice had tried out various lyrics as the main hook and title of the song including " It's Only Your Lover Returning " and " All Through My Crazy and Wild Days " amid fears that mentioning Argentina would reduce the commercial appeal.

Whilst previous monarchs ( including Henry VIII ) had specifically been granted authority to settle uncertain successions in their wills, the Treasons Act 1571 asserted that Parliament had the right to settle disputes, and made it treason to deny Parliamentary authority.

Whilst the old Command HQ and most other buildings are now empty and being looked after under a care and maintenance programme, the Service Personnel and Veterans Agency ( formed by a merger of AFPAA and the Veterans Agency, in April 2007 ) including the MoD Medal Office and JCCC ( Tri-Service Joint Casualty and Compassionate Centre ) continues to operate from the site and in 2010 the base became home to the NATO Headquarters Allied Rapid Reaction Corps ( HQ ARRC ) which relocated to Innsworth from the Rheindahlen Military Complex in Germany.

Whilst studying at the Royal Ballet School, she appeared in a number of school productions, including performances at the Royal Opera House.