According to one, his gifts became very apparent at the age of three when he corrected, mentally and without fault in his calculations, an error his father had made on paper while calculating finances.

According to his pupil Richer, Gerbert could perform speedy calculations with his abacus that were extremely difficult for people in his day to think through in using only Roman numerals.

According to calculations by the German newspaper Die Welt, Spain's economy had been on course to overtake countries like Germany in per capita income by 2011.

* According to calculations of Aryabhata ( 6th century ), the Hindu Kali Yuga began at midnight ( 00: 00 ) on 18 February 3102 BC.

According to the traditional chronology based upon calculations by Liu Xin, the Shang ruled between 1766 BC and 1122 BC, but according to the chronology based upon the Bamboo Annals, they ruled between 1556 BC and 1046 BC.

According to the traditional chronology based upon calculations by Liu Xin, the Xia ruled between 2205 and 1766 BC ; according to the chronology based upon the Bamboo Annals, it ruled between 1989 and 1558 BC.

According to calculations conducted by Dr. Hirnyj, this meridian crosses 3263 km of European, 7346 km of African and 2185 km of Antarctic ice-covered land including islands, which sums up to 12794 km.

According to his own calculations the arrears in all these incomes since 1795 amounted to 4 million guilders.

According to Enthoven and Smith, the basic ideas of PPBS were: " the attempt to put defense program issues into a broader context and to search for explicit measures of national need and adequacy "; " consideration of military needs and costs together "; " explicit consideration of alternatives at the top decision level "; " the active use of an analytical staff at the top policymaking levels "; " a plan combining both forces and costs which projected into the future the foreseeable implications of current decisions "; and " open and explicit analysis, that is, each analysis should be made available to all interested parties, so that they can examine the calculations, data, and assumptions and retrace the steps leading to the conclusions.

According to them, the behaviors Freud studied can be explained by simpler, known processes, such as salience biases ( e. g., a person abuses drugs because the promise of immediate pleasure is more compelling than the intellectual knowledge of harm sometime in the future ) and risk calculations ( e. g., a person drives recklessly or plays dangerous sports because the increases in status and reproductive success outweigh the risk of injury or death ).

According to Gauss, who first described it, it is the " mathematical figure of the Earth ", a smooth but highly irregular surface that corresponds not to the actual surface of the Earth's crust, but to a surface which can only be known through extensive gravitational measurements and calculations.

According to Staff's calculations such huge membership numbers would mean that the AUF had to recruit several thousand members each year.

According to James P. Allen and Eugene Turner from California State University, Northridge, by some calculations in the 2000 Census, the multiracial population that is part white is as follows:

According to calculations, the comoving distance ( current proper distance ) to particles from the CMBR, which represent the radius of the visible universe, is about 14. 0 billion parsecs ( about 45. 7 billion light years ), while the comoving distance to the edge of the observable universe is about 14. 3 billion parsecs ( about 46. 6 billion light years ), about 2 % larger.

According to modern calculations, eight capstans were needed to hoist the 55 t base block, while the length of rope required for the highest drums measured some 210 m assuming two-block pulleys.

According to the group ’ s calculations, they save approximately NOK 500 million ($ 80 million USD ) annually on tractor operations.

According to the National Journals calculations, in 2005, Foley's voting record on social policy issues was moderate.

According to different astrologers ' calculations, approximated dates for entering the Age of Aquarius range from 1447 AD ( Terry MacKinnell ) to 3597 ( John Addey ).

( According to Williams's calculations, the Aquarian decan of the Age of Aquarius will arrive in about 3284, lasting until about 4004 ).

According to in silico calculations on the following hypothetical isodesmic reactions, coronene has a somewhat higher resonance energy per pi electron ( REPE ) than benzene:

According to his own calculations Murphy won 628 of his 1, 412 starts — a 44 % victory rate which has never been equaled, and a record about which Hall of Fame jockey Eddie Arcaro said: " There is no chance that his record of winning will ever be surpassed.

; According to traditional graduation rate calculations:

; According to traditional graduation rate calculations:

According to calculations made at the time, the comet should return around the year 4876.

According to one analyst, Armenia's economic system is anticompetitive due to the structure of the economy being a type of " monopoly or oligopoly ".

However, Margaret Sleeboom-Faulkner of the Department of Anthropology at the University of Sussex said Kanzō Umehara considered the Ainu and some Ryukyuans to have " preserved their proto-Mongoloid traits " According to anthropologist Elsie Clews Parsons physical features of the Proto-Mongoloid were characterized as, " a straight-haired type, medium in complexion, jaw protrusion, nose-breadth, and inclining probably to round-headedness ".

According to consensus among cosmologists, dark matter is composed primarily of a new, not yet characterized, type of subatomic particle.

According to the type of pathogens and how risky they are, the intensity of the hurdles can be adjusted individually to meet consumer preferences in an economical way, without sacrificing the safety of the product.

According to Rossy, this is proof of the more recent creation of this type of songs, influenced by Castilian jota.

According to many art researchers, particularly in the Netherlands and in Los Angeles, that type of public art is, in fact an effective tool of social emancipation or in the achievement of a political goal.

According to Popular Mechanics, " The common sponge was used in ancient Greece as a gas mask ..." An early type of rudimentary gas mask was invented in the 9th century by the Banu Musa brothers in Baghdad, Iraq.

According to First Facts, it states that the " gas mask resembling the modern type was patented by Lewis Phectic Haslett of Louisville, Kentucky who received a patent on June 12, 1849.

According to Puglisi, in the post-1960 period the Times displays a more symmetric type of watchdog behaviour, just because during presidential campaigns it also gives more coverage to the typically Republican issue of Defense when the incumbent President is a Democrat, and less so when the incumbent is a Republican.

According to Weber, this type of coordination would be inefficient, especially because it would be incapable of solving the problem of imputation ( i. e. of accurately determining the relative values of capital goods ).

According to the Oxford English Dictionary ( 1933 ) the term " carol " was first used in England for this type of circle dance accompanied by singing in manuscripts dating to as early as 1300.

According to Woolf, there are three classes of pain: nociceptive pain ( see hereunder ), inflammatory pain which is associated with tissue damage and the infiltration of immune cells, and pathological pain which is a disease state caused by damage to the nervous system ( neuropathic pain, see hereunder ) or by its abnormal function ( dysfunctional pain, like in fibromyalgia, irritable bowel syndrome, tension type headache, etc.

According to the rules proposed by the Associazione Vera Pizza Napoletana, the genuine Neapolitan pizza dough consists of wheat flour ( type 0 or 00, or a mixture of both ), natural Neapolitan yeast or brewer's yeast, salt and water.

According to the type physicalist, to be in a certain type of mental state is just to be in a certain type of physical brain state.

Hall and Popkin defend Mill against this accusation pointing out that he begins Chapter Four by asserting that “ that questions of ultimate ends do not admit of proof, in the ordinary acceptation of the term ” and that this is “ common to all first principles .” According to Hall and Popkin, therefore, Mill does not attempt to “ establish that what people do desire is desirable but merely attempts to make the principles acceptable .” The type of “ proof ” Mill is offering " consists only of some considerations which, Mill thought, might induce an honest and reasonable man to accept utilitarianism ".

According to television commentator Charlie Brooker, this type of reality television was enabled by the advent of computer-based non-linear editing systems for video ( such as those produced by Avid Technology ) in 1989.

According to Shepherd, Scorsese had requested a " Cybill Shepherd type " for the role.

According to Austin's original formulation, a performative is a type of utterance characterized by two distinctive features:

According to the British Nutrition Foundation, trout contain one of the lowest amounts of dioxins ( a type of environmental contaminant ) of all oily fishes.

According to the literature, this type of seminar is beneficial for teachers who want students to explore a variety of texts around a main issue or topic.

According to some, this type of piety does not necessarily require the spiritual piety, while others refrain from distinguishing the two.

According to the National Cancer Institute ( NIH ), doctors believe that, when part of a series or syndrome of multiple moles, dysplastic nevi are more likely than ordinary moles to develop into the most virulent type of skin cancer called melanoma.

According to Breitbonde, categorization of communities based on cultural distinctiveness, historical or ethnic identity and socio-political autonomy “ may have brought about the large numbder of distinct Kru dialects ; " Although the natives were in many respects similar in type and tribe, every village was an independent state ; there was also very little intercommunication ".