By some estimates, this might account for most of the internal radiation damage, as the recoil nuclei are typically heavy metals which preferentially collect on the chromosomes.

By now the rebel forces were said to have numbered 230, 000, however, this number should be treated with scepticism — Dio's account is known only from a late epitome, and ancient sources commonly exaggerate enemy numbers.

By contrast, if M ( t ) denotes the amount of money in a bank account at time t, then the function jumps whenever money is deposited or withdrawn, so the function M ( t ) is discontinuous.

By contrast to the above philosophers, Immanuel Kant held that the account of the concept as an abstraction of experience is only partly correct.

By his own account, he spent a great deal of time in the Oak Knoll Naval Hospital's library, where he would have encountered the work of Freud and other psychoanalysts.

By his account, upon having been told by friends and relatives that they had prayed for him, he resisted the urge to ask them, " Did you also sacrifice a goat?

* Some account of the life and opinions of a fifth-monarchy-man By John Rogers, Edward Rogers, Longmans, Green, Reader & Dyer, 1867

By his own account, the next morning he met a kind woman, Mariah Watkins, from whom he wished to rent a room.

By the end of 1997 the consolidated public sector deficit decreased to 4. 6 % of GDP — with public sector spending falling from 62 % of GDP to below 50 %— the current account deficit was reduced to 2 % of GDP, and government debt was paid down to 94 % of annual export earnings.

By measuring rainfall, runoff, and drainage area, Perrault showed that rainfall was sufficient to account for flow of the Seine.

By this account, no clear evidence suggests that Gertrude is an adulteress: she is merely adapting to the circumstances of her husband's death for the good of the kingdom.

By Livy's account the crossing was accomplished in the face of huge difficulties.

By the 5th century, this authentic collection had been enlarged by spurious letters, and some of the original letters had been changed with interpolations, created to posthumously enlist Ignatius as an unwitting witness in theological disputes of that age, while the purported eye-witness account of his martyrdom is also thought to be a forgery from around the same time.

By taking both in-role and extra-role performance into account, industrial – organizational psychologists are able to assess employees ' effectiveness ( how well they do what they were hired to do ), efficiency ( their relative outputs to relative inputs ), and their productivity ( how much they help the organization reach its goals ).

* The Life and Work of Konrad Zuse – By Prof. Horst Zuse ( K. Zuse's son ); an extensive and well-written historical account

By his own account, his time as a draftsman influenced his later work, using Machines as metaphors of human activity.

By the most likely account, Khrushchev prepared an elaborate ambush, convening a meeting of the Presidium on 26 June, where he suddenly launched a scathing attack on Beria, accusing him of being a traitor and spy in the pay of British intelligence.

By his account, the Pharaoh Bocchoris, suffering from a plague, banished the Jews in response to an oracle of the god Zeus-Amun.

By Brando's own account, it may have been because of this film that his draft status was changed from 4-F to 1-A.

By her own account Lewinsky had survived the intense media attention during the scandal period by knitting.

By 2000, taking into account penalties and accrued interest, North Korea's debt was estimated at USD 10 – 12 billion.

By this account, the polar circle on Gerbert's sphere was located at 26 degrees, just several degrees off from the actual 23 ° 28 '.

By May 1969 Britain ’ s current account position was in surplus, thanks to a growth in exports, a drop in overall consumption and, in part, the Inland Revenue correcting a previous underestimation in export figures.

By Parks ' account, Blake said, " Y'all better make it light on yourselves and let me have those seats.

By Powell's own account, Ingram was a major influence on him.

By knowing the coordinates of an object ( usually given in equatorial coordinates ), the telescope user can use the setting circle to align the telescope in the appropriate direction before looking through its eyepiece.

By the River Styx, he sees the souls of those not given a proper burial, forced to wait by the river until someone buries them.

By contrast, while defendants in most civil law systems can be compelled to give a statement, this statement is not subject to cross-examination by the prosecutor and not given under oath.

By convention, the bicyclic β-lactams are numbered starting with the position occupied by sulfur in the penams and cephems, regardless of which atom it is in a given class.

By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.

By the well ordering principle, if there are positive integers that satisfy a given property, then there is a smallest positive integer that satisfies that property ; therefore, there is a smallest positive integer satisfying the property " not definable in under eleven words ".

By contrast, in civil law jurisdictions ( the legal tradition that prevails in, or is combined with common law in, Europe and most non-Islamic, non-common law countries ), courts lack authority to act where there is no statute, and judicial precedent is given less interpretive weight ( which means that a judge deciding a given case has more freedom to interpret the text of a statute independently, and less predictably ), and scholarly literature is given more.

By the next day the Doge and the leading Franks were installed in the Great Palace, and the city was given over to pillage for three days.

By this time, portions of Ormsby County had been given over to neighboring counties, reducing the county to Carson City and a few outlying settlements.

By the time the government killed the project in 1842, they had given Babbage over ₤ 17, 000, more than double the cost of a warship, without receiving a working engine.

By construction, each point on the curve shows productive efficiency in maximizing output for given total inputs.

By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic.

By mistake, the year of his birth was given as 1848, not the correct 1845.

By 27 June, the royal party had overtly given in, although the military began to arrive in large numbers around Paris and Versailles.

By comparing the genome compositions between genomes, scientists can better understand the evolutionary history of a given genome.

By this solution though, any given object always has all the properties throughout time, and the properties are merely temporally-specific.

By age 15, he had already given concerts worldwide.

By 1941, Germany had given up hope of evicting the Allies from the island and the constant air raids stopped.

By June 2003, the lower house of Parliament announced that President Akayev and two other " puppet " leaders of Kyrgyzstan, from the Soviet era, would be given lifetime immunity from prosecution, raising the prospect of Akayev finally stepping down.

By imperial proclamation at the wedding, Gustav was given the additional surname " Krupp ," which was to be inherited by primogeniture along with the company.

By the turn from the 10th to the 11th century, the smaller burghs in the Parseta area were given up.

By 1992 the problem had become so serious that Latvian forestry officials were given the right to carry firearms.

By November 1920 Theremin had given his first public concert with the instrument, now modified with a horizontal volume antenna replacing the earlier foot-operated volume control.