According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to

According to Hippolytus of Rome, John Mark is not Mark the Cousin of Barnabas, and Barnabas did not dispute with Paul because of personal favor to a blood relative, but due to his character as his nickname Barnabas (" Son of Encouragement ") indicates.

According to the rules stipulated by the governing body of rugby league in Australia a forward pass is relative to the player making the pass and not the actual path relative to the ground.

According to White House and Congressional Budget Office figures, the maximum share of income that enrollees would have to pay for the " silver " healthcare plan would vary depending on their income relative to the federal poverty level, as follows: for families with income 133 – 150 % of FPL will be 3-4 % of income, for families with income of 150 – 200 % of FPL will be 4-6. 3 % of income, for families with income 200 – 250 % of FPL will be 6. 3-8. 05 % of income, for families with income 250-300 % of FPL will be 8. 05-9. 5 % of income, for families with income from 300 to 400 % of FPL will be 9. 5 % of income.

According to special relativity, the Galilean transformation is a good approximation only at relative speeds much smaller than the speed of light.

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 late 13th century chronicler Martin of Opava, Stephen VIII was described as being a German, who was elected pope due to the power and influence of his royal relative, the German king Otto I. Martin states that Otto ignored the will of the cardinals in imposing Stephen upon them, and because Stephen was hated for being a German, he was taken by supporters of Alberic II, who proceeded to maim and disfigure him to such an extent that Stephen was unable to appear in public again.

According to Strabo ( 1. 1. 9 ), Seleucus was the first to state that the tides are due to the attraction of the Moon, and that the height of the tides depends on the Moon's position relative to the Sun.

According to the later Arabic sources, Kaleb retaliated by sending a force of 3, 000 men under a relative, but the troops defected and killed their leader, and a second attempt at reigning in the rebellious Abraha also failed.

According to Heyerdahl, something happened between Admiral Roggeveen's discovery of the island in 1722 and James Cook's visit in 1774 ; while Roggeveen encountered white, Indian, and Polynesian people living in relative harmony and prosperity, Cook encountered a much smaller population consisting mainly of Polynesians and living in privation.

The authors found that gender plays a significant role in interracial divorce dynamics: According to the adjusted models predicting divorce as of the 10th year of marriage, interracial marriages that are the most vulnerable involve white females and non-white males ( with the exception of white females / Hispanic white males ) relative to white / white couples.

According to this interpretation, the purpose of a quantum-mechanical theory is to predict the relative probabilities of various alternative histories ( for example, of a particle ).

According to the legal practice of classical Athens, Creon is obliged to marry his closest relative ( Haemon ) to the late king's daughter in an inverted marriage rite, which would oblige Haemon to produce a son and heir for his dead father in law.

According to this hypothesis, Earth and the aether are in relative motion, implying that a so called " aether wind " ( Fig.

According to classical sources, he killed his predecessor and relative, Darius III, after the Persian army had been defeated by Alexander the Great.

According to Asbridge, the spread of Islam was unimportant because " Islam and Christendom had coexisted for centuries in relative equanimity ".

According to comments made by Piemur in Dragonsinger, the relative worth of mark pieces differs based on which crafthall has issued ( and thus backs ) them and can be a consideration in financial transactions.

According to Ali's longtime physician and cornerman Ferdie Pacheco, it was believed by Ali and his trainers that Joe Frazier was washed up after his devastating loss to George Foreman, and the relative ease with which Ali had defeated Frazier in their rematch after that fight seemed to bear this out.

According to research done by Professor Henry Louis Gates, Jr., of Harvard University, in 2010 for the PBS series Faces of America, in which Ma made an appearance, a relative had hidden the Ma family genealogy in his home in China to save it from destruction during the Cultural Revolution.

According to Kimberly Palmer " High housing prices, the rising cost of higher education, and the relative affluence of the older generation are among the factors driving the trend.

According to the Primary Chronicle, Oleg was a relative ( likely brother-in-law ) of the first ruler, Rurik, and was entrusted by Rurik to take care of both his kingdom and his young son Ingvar, or Igor.

According to Herreshoff, " yawl " had nothing to do with rudder placement relative to the mizzen, and instead, a yawl rig is the sail and mast configuration that suits a yawlboat.

According to the Fraser Institute, " the basic-needs approach is partly absolute ( the list necessities is limited to items required for long-term physical well-being ) and partly relative, reflecting the standards that apply in the individual's own society at the present time.

According to Arnold Toynbee, applying the historical method in economics would reveal how supposedly universal economic laws were, in fact, relative.

According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

According to one definition of asymmetric, anything that fails to be symmetric is asymmetric.

Meteorologists ( and most of the temperate countries in the southern hemisphere ) use a definition based on months, with autumn being September, October and November in the northern hemisphere, According to United States tradition, autumn runs from the day after Labor Day ( i. e. the Tuesday following the first Monday of September ) through Thanksgiving ( i. e. the fourth Thursday in November ), after which the holiday season that demarcates the unofficial beginning of winter begins.

According to the definition above, two relations with the same graph may be different, if they differ in the sets and.

According to United Nation's Food and Agriculture Organization the term bean should include only species of Phaseolus ; however, a strict consensus definition has proven difficult because in the past, several species such as Vigna ( angularis ( azuki bean ), mungo ( black gram ), radiata ( mung bean ), aconitifolia ( moth bean )) were classified as Phaseolus and later reclassified.

" According to this definition, celibacy ( even short-term celibacy that is pursued for non-religious reasons ) is much more than not having sex.

According to this definition, an object qualifies as a classical KBO if:

According to Bryan Wilson, functionally the definition of a " fellowship " within Christadelphian history has been mutual or unilateral exclusion of groupings of ecclesias from the breaking of bread.

According to the logical positivists, unless a statement could be verified by experience, or else was true or false by definition ( i. e. either tautological or contradictory ), then it was meaningless ( this is a summary statement of their verification principle ).

According to the ICC definition, a match is first-class if:

According to McBrien, the majority of the bishops were not so much interested in a formal definition of papal infallibility as they were in strengthening papal authority and, because of this, were willing to accept the agenda of the infallibilists.

According to the WHO, some practices regarded as legal in countries that have outlawed FGM do fall under the category of Type IV ( see below ), but the organization decided to maintain a broad definition to avoid loopholes that could allow FGM to continue.

According to the Free Software Foundation, " freeware " is a loosely defined category and it has no clear accepted definition, although FSF says it must be distinguished from free software ( libre ).

According to Anthony Harkins in Hillbilly: A Cultural History of an American Icon, the term first appeared in print in a 1900 New York Journal article, with the definition: " a Hill-Billie is a free and untrammeled white citizen of Alabama, who lives in the hills, has no means to speak of, dresses as he can, talks as he pleases, drinks whiskey when he gets it, and fires off his revolver as the fancy takes him.

According to this definition, supplemented with the constancy of the speed of light, inertial frames of reference transform among themselves according to the Poincaré group of symmetry transformations, of which the Lorentz transformations are a subgroup.

According to the what economist Nicholas Barr describes as the " classical definition of income :" the 1938 Haig-Simons definition, " income may be defined as the ... sum of ( 1 ) the market value of rights exercised in consumption and ( 2 ) the change in the value of the store of property rights ..." Since the consumption potential of non-monetary goods, such as leisure, cannot be measured, monetary income may be thought of as a proxy for full income.

According to the definition established in a 1932 convention signed by Denmark, Norway and Sweden ( registered in the League of Nations Treaty Series 199-1933 ), the northern boundary between Kattegat and Skagerrak is found at the northernmost point of Skagen on Jutland and the southern boundary towards Oresund is found at the tip of Kullen Peninsula in Scania.

According to the International Confederation of Midwives ( a definition that has also been adopted by the World Health Organization and the International Federation of Gynecology and Obstetrics ):

According to this definition noble gas atoms are considered molecules despite the fact that they are composed of a single non-bonded atom.

According to the IUPAC definition, a metallocene contains a transition metal and two cyclopentadienyl ligands coordinated in a sandwich structure, i. e., the two cyclopentadienyl anions are co-planar with equal bond lengths and strengths.

According to one definition of digital signal, the modulated signal is a digital signal, and according to another definition, the modulation is a form of digital-to-analog conversion.

According to Margaret Bent ( 1997 ), " a piece of music in several parts with words " is as precise a definition of the motet as will serve from the 13th to the late 16th century and beyond.

According to the international definition adopted by the XIV Congress of the International Naturist Federation ( Agde, France, 1974 ), naturism is: