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 the assumption of power by the Communists and the proclamation of the PRC until 1971, the ROC Government remained the representative of China before the UN, although it had lost almost all of the territory.

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.

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 above one could only occasionally catch a glimpse of life on the floor of this green sea: a neighbor's gingham skirt flashing into sight for an instant on the path beneath her grape-arbor, or the movement of hands above a clothesline and the flutter of garments hung there, half-way down the block.

From maturity one looks back at the succession of years, counts them and makes them many, yet cannot feel length in the number, however large.

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 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.

She hesitated, she hopped, she rolled and rocked, skipped and jumped, but in some two weeks she started to pace, From that time to this she has shown steady improvement and now looks like one of the classiest things on the grounds.

From there I turned left along Cumhuriyet Cadesi past more hotels and a park on the left, Republic Gardens, and came in a few moments to Taksim Square, one of the hubs of the city, with the Monument of the Republic, erected in 1928, in its center.

From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.

`` From time to time since the present war began there have been reports that one or more of the Axis powers were seriously contemplating use of poisonous gas or noxious gases or other inhumane devices of warfare.

From a pen of wild bulls one would be released, and with much yellin' a cowhand'd take after 'im.

From here on in, the less Charlie and I were seen together in public, or visited one another's rooms, the better.

From the outset of his first term, he established himself as one of the guiding spirits of the House of Delegates.

From 1764 onwards, there was a gradual change from a slave-based society to one based on production for domestic consumption and export.

From the dry ground in late summer ( August in zone 7 ) each bulb produces one or two leafless stems 30 – 60 cm tall, each of which bears a cluster of 2 to 12 funnel-shaped flowers at their tops.

From time to time there has been debate over repealing the clause that prevents " Papists " ( Roman Catholics ) or those who marry one from ascending to the British throne.

From 1998 to 2011, the wild-card team has been assigned to play the division winner with the best winning percentage ( outside of their own division ) in one series, and the other two division winners meet in the other series.

From 1998 to 2011, the wild-card team has been assigned to play the division winner with the best winning percentage ( outside of their own division ) in one series, and the other two division winners meet in the other series.

From then on, the side which does not have the ball closest to the jack has a chance to bowl, up until one side or the other has used their four balls.

From listening to their recordings, one had difficulty determining if the Crickets, the name of Buddy's band, were white or black singers.

From the beginning of each playing period with a stroke-off ( a set strike from the centre-spot by one team ) until the end of the playing period, the ball is in play at all times, except when either the ball leaves the field of play, or play is stopped by the referee.

In 1953, Lancaster played one of his best remembered roles with Deborah Kerr in From Here to Eternity.

:" From Skåne ( Sconia ) of the Danes one reaches Sigtuna ( Sictonam ) or Birka after five days at sea, for they are indeed alike.

From south to north, Broadway at one point or another runs over or under the IRT Lexington Avenue Line, the BMT Broadway Line, the IRT Broadway – Seventh Avenue Line, and the IND Eighth Avenue Line:

From the time of the end of the Seven Years ' War in 1763, Great Britain and its successor the United Kingdom has been one of the leading military and economic powers of the world.

From one perspective, the copula always relates two things as subsets.

From the late 1940s to 1989, the extensive Czechoslovak Armed Forces ( about 200, 000 ) formed one of the pillars of the Warsaw Pact military alliance.

From his room he could look out in springtime and see the couples hand in hand walking slowly, deliciously, across the campus, and he could smell the sweet vernal winds.

From here they proceeded to ( 3 ) These same areas in relation to their own future family life stages, developing these to the extent of examining various crises which could be expected to confront them at some time or other.

From Burlington, outgoing mail could be ferried across Lake Champlain to the railroad at Port Kent, N. Y..

From the lioness' point of view, this strange creature on the back of another creature, lashing out with its long thin paw, very likely appeared as something she could not at first cope with.

From this side he could see farther into the legation's third-story window, but he saw no faces ; ;

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 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 Black Sea, trade could continue to Asia along the Silk Road, another ancient trade route.

From their introduction, muskets could pierce plate armour, so cavalry had to be far more mindful of the fire.

From the land they could only meet a few needs, such as stone for weapons, tools, stoves or lamps and grass for their woven baskets.

From an engineering and service standpoint, the Phoenix could be said to be a notable success.

From 2005, Freeview users could access the CBBC Extra video stream.

From New York City these agricultural products could easily be shipped to other U. S. states or to Europe, etc.

From the earliest times knights and mounted men-at-arms had frequently dismounted to handle enemies they could not overcome on horseback, such as in the Battle of the Dyle ( 891 ) and the Battle of Bremule ( 1119 ), but after 1350s this trend became more marked with the dismounted men-at-arms fighting as super-heavy infantry with two-handed swords and poleaxes.

From an architectural point of view, this arrangement could provide better floor area utilisation, offering an internal column-free office area with a clear depth of 9 to 13. 4 metres and an overall usable floor area efficiency of 81 %.

From 1957, these cars could be fitted with an optional saxomat, an automatic clutch and, at the time it was the only small car offering this feature.

From there, ships could travel anywhere in the world out of the St. Lawrence Seaway or the Erie Canal to New York City.

From another perspective, the farmer and the miller both reduce a risk and acquire a risk when they sign the futures contract: the farmer reduces the risk that the price of wheat will fall below the price specified in the contract and acquires the risk that the price of wheat will rise above the price specified in the contract ( thereby losing additional income that he could have earned ).

From across the stands, crowd and editor could assess each other's character and temperament.

From there, it became clear that print could be used for propaganda in the Reformation for particular agendas.

From 1892 Scottish universities could admit and graduate women and the numbers of women at Scottish universities steadily increased until the early 20th century.

From 1913 onwards parts of her collection were open to the public ; until the mid 1930s her exhibition hall in The Hague was one of the very rare places where one could see more than a few works of modern art.

From 1500 onwards, juries could acquit the insane, and detention required a separate civil procedure ( Walker, 1985 ).