By contrast, in an inertial frame, the observed effects arise as a consequence of the inertia and the known forces without the need to introduce a centrifugal force.

By successively dividing out factors x − a, one sees that any polynomial with complex coefficients can be written as a constant ( its leading coefficient ) times a product of such polynomial factors of degree 1 ; as a consequence the number of ( complex ) roots counted with their multiplicities is exactly equal to the degree of the polynomial.

" By accounts from Lisbon we are assured, that in consequence of the experiments made there with the Montgolfier balloon, the literati of Portugal had been incited to make numerous researches on the subject ; in consequence of which they pretend that the honour of the invention is due to Portugal.

" By the end of the war, the best German troops were dead and the remainder were under continuous pressure on all parts of the Western Front, a consequence in part of an almost endless supply of fresh American reinforcements ( which the Germans were unable to match ) and in part of industry at last supplying the weakened Entente armies with the firepower to replace the men they lacked ( whilst Germany wanted for all sorts of materials thanks to the naval blockade ).

By 2000, the village was plagued by toxic sulfurous gas clouds and acid rain from the nearby coal-fired Gavin Power Plant, as an unintended consequence of pollution-control technology.

By the end of the 19th century the scholarly consensus was that the Pentateuch was the work of many authors writing from 1000 BCE ( the time of David ) to 500 BCE ( the time of Ezra ) and redacted c. 450, and as a consequence whatever history it contained was more often polemical than strictly factual – a conclusion reinforced by the then fresh scientific refutations of what were at the time widely classed as biblical mythologies, as discussed above.

By December 2011, as a consequence of its decision to raise prices, Neflix had lost over 75 % of its total value from the summer.

By the late 90's the team was about to face one of its worst decades since the 50's, From 1999-2008 the team could hardly make it into the semi-finals ( except in 2005 when they reached the finals and lost the title against the Capitanes de Arecibo in four games ), as a consequence the franchise's quality and prestige as well as the fanbase began to decrease.

By 1 January 1968 the population of Leibnitz had reached 6, 641 but its relative importance and vitality had severely declined since Lower Styria had fallen to Yugoslavia in 1919 as a consequence of World War I, severing the city ’ s vital connections to the south and effectively making it all but a " dead-border township.

By choice there followed a succession of jobs ' of no special consequence and with no connection from one to the next ', which she held briefly, and which began with work as an assistant mistress at Silchester House, a girls ' boarding school in Taplow in the Thames valley, and included being a sceretary ; a reader for the elderly Dame Elizabeth Cadbury ; and the proprietor of an office in Victoria Street, London, for typing and secretarial work.

By the Cayley-Hamilton theorem, itself obeys the same equation: As a consequence, the columns of the matrix must be either 0 or generalized eigenvectors of the eigenvalue, since they are annihilated by In fact, the column space is the generalized eigenspace of

By 1645, the land holding of Barbados increased and the shape of the original six were reconfigured giving way to an additional five parishes Some prior churches of the state within the existing parishes were elevated to the level of Parish Church and as a consequence they formed new parishes around those new vestries:

By the mid-19th century, conservation of energy had been accepted, and one consequence of this law of physics is that the Sun must have some energy source to continue to shine.

By the early 18th century, as a consequence of the industrial reforms of Tzar Peter I, several ore mines and metallurgy plants were built on the Onega Lake, in particular on the place of modern Medvezhyegorsk and Petrozavodsk cities.

By opposition, true aneurysms and dissections are usually the consequence of an arterial wall congenital or acquired deficiency, for example by means of atherosclerosis.

By the mid-1820s, Astor's American Fur Company dominated the economy of Chicago and, in consequence, its social life as well.

By 8 July the whole of north east Syria had been captured and elements of Iraqforce advancing up the river Euphrates were threatening Aleppo and as a consequence the rear of the Vichy forces defending Beirut from the advance from the south.

By 8 July the whole of north east Syria had been captured and elements of Iraqforce advancing up the river Euphrates were threatening Aleppo and as a consequence the rear of the Vichy forces defending Beirut from the advance from the south.

By the middle of the fourteenth century, organized communities could be seen throughout Catanduanes – a consequence of the rapid development of Southeastern Luzon initiated by the Malay settlers.

By nature, behavioural therapies are empirical ( data-driven ), contextual ( focused on the environment and context ), functional ( interested in the effect or consequence a behaviour ultimately has ), probabilistic ( viewing behaviour as statistically predictable ), monistic ( rejecting mind – body dualism and treating the person as a unit ), and relational ( analysing bidirectional interactions ).

By the end of the 1980s, British Rail's various business units were developing their own individual brands and identities with use of Rail Alphabet declining as a consequence.

By definition, multiple private parties may assign different characters to the same code point, with the consequence that a user may see one private character from an installed font where a different one was intended.

* By the woman whose Italian citizenship was a consequence of marriage to an Italian citizen, if upon becoming widowed or divorced, she returned to ( or remained in ) the country of her origin to live there as a citizen.

By AD 400, most of the constellation never rose above the horizon for Athenians.

By the beginning of 1930, Tombaugh's search had reached the constellation of Gemini.

By 1836, even the letter S had only been used in one constellation, Serpens.

By combining this with forward error correction capable of correcting single-bit errors, it is possible for a receiver to correct any transmission errors that cause a constellation point to deviate into the area of an adjacent point.

By comparing his observations with optical astronomical maps, Jansky eventually concluded that the radiation source peaked when his antenna was aimed at the densest part of the Milky Way in the constellation of Sagittarius.

By comparing his observations with optical astronomical maps, Jansky concluded that the radiation was coming from the Milky Way and was strongest in the direction of the center the galaxy, in the constellation of Sagittarius.

By 1813 he had risen as a “ star ” in the constellation of Edo ’ s artistic world ( a contemporary list of the most important ukiyo-e artists places him in second place behind Toyokuni I ) and until his death in early 1865, Kunisada remained one of the “ trendsetters ” of the Japanese woodblock print.

: By representing the quadrature and in-phase components as the vertical and horizontal axes, the error vector magnitude can be computed as the distance between the ideal and measured constellation points on the diagram.

By Ptolemy's day, Libra had become an independent constellation, unconnected with either of its neighbors.

By now ( the yellow grid ) it has shifted ( red arrow ) to somewhere in the constellation of Pisces.

By December, it was again sighted in the constellation Di.

By the term " initiation " here he means the processes whereby one leaves behind certain aspects of one's earlier life and moves toward a new constellation of one's life.

By `` image '' is meant not only a visual presentation, but also remembered sensations of any of the five senses plus the feelings which are immediately conjoined therewith.

By virtue of his self-reliance, his individualism and his freedom from external restraint, the private eye is a perfect embodiment of the middle class conception of liberty, which amounts to doing what you please and let the devil take the hindmost.

By upholding his own personal code of behavior, the private detective has placed himself in opposition to a society whose fabric is permeated with crime and corruption.

By our policy the West was -- is -- split.

By law this is 75% for the Virgin Islands, Guam and Puerto Rico.

By law this is 70% for the Virgin Islands, Guam and Puerto Rico.

By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.

By this time Henri's entire chest-back-lat-shoulder area is pumped-up to almost bursting point, and Claude takes time to do a bit more pectoral-front deltoid shaping work.

By this scheme, pulling one signal to clear locks all the other switch and signal levers in safe positions until the first signal is again restored to normal.

By lifting the seat upwards a little, the weight is taken off the neck and the back is kept rounded.

By the middle of the summer, many of the larvae apparently receive such a good diet that it is `` optimal '', and it is then that young queens begin to appear.

By Theorem 10, D is a diagonalizable operator which we shall call the diagonalizable part of T.

By ( 1 ), the image of this pencil is a ruled surface of order Af which is met by the plane of the pencil in a curve, C, of order Af.

By means of this social control, deviance is either eliminated or somehow made compatible with the function of the social group.

By the time the child first attacks the actual problem of reading, he is completely familiar and at ease with all of the elements of words.

By this time there is little doubt but what election plans were complete.

By the very nature of the situation, it is the union which has been able to select the time and place to bring pressure upon management.

By all means the most important distinction is that between those total-cost apportionments which superimpose a distribution of admittedly unallocable cost residues on estimates of incremental or marginal costs, and those other apportionments which recognize no difference between true cost allocation and mere total-cost distribution.

By airline from Concord to Burlington is a distance of about 150 miles, counting a slight deviation for the stop at either Barre or Montpelier.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By means of charts showing wave-travel times and depths in the ocean at various locations, it is possible to estimate the rate of approach and probable time of arrival at Hawaii of a tsunami getting under way at any spot in the Pacific.