From an estimated mass of 25 g for a zero-magnitude meteorite, the other masses are derived with the assumption of a mass decrease by a factor of 2.512 for each unit increase in magnitude.

From the assumption of small disturbances we have

From the beginning he ruled with the assumption that he alone was acceptable to the Soviet Union as Finnish President.

From a theoretical standpoint, the main assumption of the Kalman filter is that the underlying system is a linear dynamical system and that all error terms and measurements have a Gaussian distribution ( often a multivariate Gaussian distribution ).

From the 1840s, following the signing of the Treaty of Waitangi and the assumption of British sovereignty, large numbers of Europeans began to settle permanently in New Zealand.

From Faraday's law, this assumption implies the absence or near-absence of time-varying magnetic fields:

From Motherwell's own words, the reason he went to Harvard was because he wanted to be a painter while his father urged him pursue a more secure career: " And finally after months of really a cold war he made a very generous agreement with me that if I would get a Ph. D. so that I would be equipped to teach in a college as an economic insurance, he would give me fifty dollars a week for the rest of my life to do whatever I wanted to do on the assumption that with fifty dollars I could not starve but it would be no inducement to last.

From this view strong atheists have made the assumption that the concept of God actually contains an expressible or thinkable proposition.

From about 1986 and onwards, Peacocke abandoned this assumption, arguing that some mental states, in particular perceptual experiences and representational states implicated in subpersonal information processing ( for example, in the subconscious parsing of heard speech ), have non-conceptual intentional content.

From the mid-1960s on, the traditional type of planetary romance set in the Solar System fell out of favor ; as technological advances revealed most local worlds to be hostile to life, new planetary stories have usually been set on extrasolar planets, generally through the assumption of some form of faster-than-light travel.

From this assumption, one could conclude that the present trend will continue.

By step 2, we have a complete and precise description of the character table of the CA group G. From this, and using the fact that G has odd order, sufficient information is available to obtain estimates for | G | and arrive at a contradiction to the assumption that G is simple.

From the dates of Albert ’ s life, we can assume that Dietrich was still young when Albert ’ s career was almost at its end, and no assumption can be made to whether or not Dietrich ever met or studied under Albert.

From his " Technology and Invention in the Middle Ages " of 1940, through his " Dynamo and Virgin Reconsidered " of 1958, to his Medieval Technology and Social Change ( Oxford University Press, 1962 ), his work refuted the assumption that the Middle Ages were too preoccupied with theology and / or chivalry to concern themselves with technology, the assumption behind Henry Adams ' antitheses of Virgin vs. dynamo, but widespread elsewhere as well.

From July 9, 2004 to September 1, 2004, Lieutenant General Cartwight served as Acting Commander, U. S. Strategic Command while awaiting official assumption of office and promotion as Strategic Command's new commander.

From this doctors can read heart rate, change in diameter, pressure, and effective heart power.

From the early 16th century, Aachen lost power.

From a modern perspective these figures may seem small, but in the world of Greek city-states Athens was huge: most of the thousand or so Greek cities could only muster 1000 – 1500 adult male citizens and Corinth, a major power, had at most 15, 000 but in some very seldom cases more.

From the very early stages of his reign, Abd ar-Rahman showed a firm resolve to quash the rebels of Al-Andalus, consolidate centralized power, and reestablish internal order within the emirate.

From 1966 to 2009, this power lay with the House of Lords, granted by the Practice Statement of 1966.

From Aeschylus ' Agamemnon, it appears that she has made a promise to Apollo to become his consort, but broke it, thus incurring his wrath: though she has retained the power of foresight, no one will believe her predictions.

From 1975 to 1979, a Canadian progressive power trio, Rush, released three albums containing sidelong epics, regarded by some as concept albums ( though not actually concept albums by strict definition of the term ; that is, none of the other songs on the album have anything to do with each other or the 20-minute sidelong epic, so there is no pervasive concept or story ).

From the Global Positioning System to electric power generation, electrical engineers have contributed to the development of a wide range of technologies.

From that point onwards, he governed as dictator by emergency decree with absolute power.

From the establishment of the Tokugawa bakufus headquarters at Edo, although Kyoto remained the formal capital of the country the de facto capital was now Edo ; it was the center of political power.

From 1925 to 1929, Fascism steadily became entrenched in power: opposition deputies were denied access to parliament, censorship was introduced, and a December 1925 decree made Mussolini solely responsible to the King.

From 1938 until 1995, the U. S. Supreme Court did not invalidate any federal statute as exceeding Congress ' power under the Commerce Clause.

From November 1980 to May 1984, power was held by a provisional government responsible to a Revolutionary Council headed by President João Bernardo Vieira.

From there it is split between a Trace Elliot Quadravalve all-tube power amplifier and a SansAmp RBI rackmountable preamp.

From around 700 BC the Iron age brought numerous hill forts, brochs and fortified settlements which support the image of quarrelsome tribes and petty kingdoms later recorded by the Romans, though evidence that at times occupants neglected the defences might suggest that symbolic power had as much significance as warfare.

From the 14th to 11th centuries BC Assyria once more became a major power with the rise of the Middle Assyrian Empire which dominated the whole of Mesopotamia and much of the Near East and Anatolia.

From the last Eurostat data, Italian per capita GDP at purchasing power parity remains approximately equal to the EU average, while the unemployment rate ( 8. 5 %) stands as one of the EU's lowest.

From the middle of the 4th century BC, the Kingdom of Macedon became the dominant power in Greece and the neighbouring regions ; since then Macedonia has had a diverse history.

From 2000 to 2004 MPRP was back in power, but results of the 2004 elections required the establishing of the first ever coalition government in Mongolia between the MPRP and MDC ( Motherland Democratic Coalition ).

From the earliest finds, opium has appeared to have ritual significance, and anthropologists have speculated that ancient priests may have used the drug as a proof of healing power.

From these contacts the Paraguayans came to realize that Spanish dominance in South America was coming to an end, and that they, and not the Spaniards, held the real power.

From the Drawing by S. Begg The Parliament Act 1911 eliminated the Lords ’ veto power over legislation approved by the House of Commons.

From 1979 to 1997, he and a remnant of the old Khmer Rouge operated near the border of Cambodia and Thailand, where they clung to power, with nominal United Nations recognition as the rightful government of Cambodia.

From that point on the two cities were united against the rising power of Genoa and sometimes collaborated to increase the trading benefits in Constantinople.

From his coronation, all real power was transferred to Philip, as his father slowly descended into senility.

From an initial investment of $1,200 in 1943, it has grown, with no additional capital investment, to a present value estimated by some as exceeding $10,000,000 ( we don't disclose financial figures to the public ).

Harris J. Griston, in Shaking The Dust From Shakespeare ( 216 ), writes: `` There is not a word spoken by Shylock which one would expect from a real Jew ''.

From the outset, she must have realized that marriage with him was out of the question, and although she was displeased by the `` unwarrantable '' interference, it seems probable that she did agree with her mother's suggestion that the poet was `` perhaps '' a man `` most fitted to live & die solitary, & in the love only of the Highest Lover ''.

From this point of view the `` militant mobs '' of the past, stirred into action by one ideology or another, were all composed of `` intellectuals '' -- and this is not the level on which the essence of mankind can be discovered.

From necessity, they are also inspired by the `` hard-sell '' attitude of the sponsor, so, finally, it is the sponsor who must take the responsibility for the good or bad taste of his advertising.

From its inception in 1920 with the passage of Public Law 236, 66th Congress, the purpose of the vocational rehabilitation program has been to assist the States, by means of grants-in-aid, to return disabled men and women to productive, gainful employment.

From this point, I paint in as direct a manner as possible, by flowing on the washes with as pure a color mixture as I can manage.

From the volume standpoint, the total market represented by the sign industry is impressive.

From the Palazzo Spada you continue another block along the Via Capo Di Ferro and Vicolo De Venti to the imposing Palazzo Farnese, begun in 1514 and considered by many to be the finest palace of all.

From the time he had been at college he had achieved a certain tranquility and composure by accepting the fact that there were certain things he could never know.

From its beginnings in the early 19th century through the early 20th century, anthropology in the United States was influenced by the presence of Native American societies.

A Modest Proposal for Preventing the Children of Poor People From Being a Burden on Their Parents or Country, and for Making Them Beneficial to the Publick, commonly referred to as A Modest Proposal, is a Juvenalian satirical essay written and published anonymously by Jonathan Swift in 1729.

From 2002 to 2010, the system as defined by the constitution of 1992 functioned in a relatively normal way.

From the mid-1980s through at least 1992, the United States was the primary source of military and other support for the UNITA rebel movement, which was led from its creation through 2002 by Jonas Savimbi.

From this point on he establishes himself as a psychological detective who proceeds not by a painstaking examination of the crime scene, but by enquiring either into the nature of the victim or the psychology of the murderer.

From here, it can be argued that, to the extent amateurs threaten the professional industry by providing free services, the professional industry has an interest in making its counterpart amateur activity shameful.

From Pyramid onwards, Tosh was replaced by Stuart Elliott of Cockney Rebel.

From 796 until his death he was Abbot of the great monastery of St. Martin of Tours where he founded a library by obtaining copies of books from libraries in his native England.

From here the Aar flows northeast for a long distance, past the ambassador town Solothurn ( below which the Grosse Emme flows in on the right ), Aarburg ( where it is joined by the Wigger ), Olten, Aarau, near which is the junction with the Suhre, and Wildegg, where the Hallwiler Aa falls in on the right.

From the memoirs written by Agrippina the Younger, Tacitus used the memoirs to extract information regarding the family and fate of Agrippina the Elder, when Tacitus was writing The Annals.

From there Alaric escaped with difficulty, and not without some suspicion of connivance by Stilicho, who supposedly had again received orders to depart.

From the ages of 6 to 9, Alexei was educated by his tutor Vyazemsky, but after the removal of his mother by Peter the Great to the Suzdal Intercession Convent, Alexei was confined to the care of educated foreigners, who taught him history, geography, mathematics and French.