Under the most favorable assumptions for increase, the Bureau of the Census projects that the annual rate of household formations will rise from about 883,000 in the last two years of the Fifties to an annual rate of about 1,018,000 in the first five years of the Sixties, and to a slightly higher annual rate of 1,083,000 in the second half of the decade.

Under the same constant gravity assumptions, the potential energy, E < sub > p </ sub >, of a body at height h is given by E < sub > p </ sub >

Under standard assumptions the orbital period () of a body traveling along an elliptic orbit can be computed as:

Under standard assumptions the orbital speed () of a body traveling along elliptic orbit can be computed from the Vis-viva equation as:

Under standard assumptions, specific orbital energy () of elliptic orbit is negative and the orbital energy conservation equation ( the Vis-viva equation ) for this orbit can take the form:

Under these assumptions, the long run price of a commodity is equal to the sum of the cost of the inputs into that commodity, including interest charges.

Under certain assumptions – such as the enzyme concentration being much less than the substrate concentration – the rate of product formation is given by

Under broad assumptions, government decisions about the efficient scope and level of activities can be efficiently separated from decisions about the design of taxation systems ( Diamond-Mirlees separation ).

Under certain technical assumptions, it has been shown that a Euclidean QFT can be Wick-rotated into a Wightman QFT.

Under the assumptions of the preceding section,

Under the assumptions of the preceding section, let P denote the r < sup > th </ sup > derivative of P < sub > n </ sub >.

Under these assumptions, Say's law implies that there cannot be a general glut, so that a persistent state in which demand is generally less than productive capacity and high unemployment results, cannot exist.

Under these assumptions, it follows that the correlation between parallel test scores is equal to reliability ( see Lord & Novick, 1968, Ch.

Under certain assumptions, the production function can be used to derive a marginal product for each factor, which implies an ideal division of the income generated from output into an income due to each input factor of production.

Under more strict assumptions than those above, e. g., if the responses are assumed to be continuous and the alternative is restricted to a shift in location ( i. e. F < sub > 1 </ sub >( x ) = F < sub > 2 </ sub >( x + δ )), we can interpret a significant MWW test as showing a difference in medians.

Under mild assumptions, the Herdan-Heaps law is asymptotically equivalent to Zipf's law ( Kornai 1999, Baeaza-Yates and Navarro 2000, van Leijenhorst and van der Weide 2003 ).

" Under typical statistical assumptions, the mean or average is the statistic for estimating location that minimizes the expected loss experienced under the Taguchi or squared-error loss function, while the median is the estimator that minimizes expected loss experienced under the absolute-difference loss function.

Under certain assumptions ( uniform material, uniform magnetic field, no skin effect, etc.

Under normal assumptions on the coefficient functions p ( x ), q ( x ), and w ( x ) above, they induce a Hermitian differential operator in some function space defined by boundary conditions.

Under normality assumptions about error distributions, the counterpart of the sum of squares due to error has a Wishart distribution.

Under certain assumptions and for specific quantitative definitions of risk and return, MPT explains how to find the best possible diversification strategy.

# Under certain statistical assumptions, the regression analysis uses the surplus of information to provide statistical information about the unknown parameters β and predicted values of the dependent variable Y.

Under these assumptions the Tikhonov-regularized solution is the most probable solution given the data and the a priori distribution of, according to Bayes ' theorem.

Under standard assumptions a body traveling along an escape orbit will coast along a parabolic shaped trajectory to infinity, with velocity relative to the central body tending to zero, and therefore will never return.

Under the two preceding kings, Amon and Manasseh, idolatry had been introduced in the most shameful forms ( especially the cult of Baal and Astarte ) into the Holy City, and with this foreign cult came a foreign culture and a great corruption of morals.

Under BAPCPA, a debtor who has moved from one state to another within two years of filing ( 730 days ) the bankruptcy case must use exemptions from the place of the debtor ’ s domicile for the majority of the 180 day time period preceding the two years ( 730 days ) before the filing.

Under his guidance the Prussian counter-attack on the French, very weak from the preceding actions, succeeded, and Saint-Amand-la-Haye was again in Prussian hands.

Under the preceding administration, economic growth had plunged from the 4. 8 % at the end of Sánchez de Lozada's first presidency to 0. 6 % in 1999 and had recovered to only 2 % for 2002.

Under the Immigration Ordinance, a Chinese national applying for permanent residence and the right of abode under ( 2 ) above may qualify on the basis of any seven-year period in Hong Kong, while a non-Chinese national applying under ( 4 ) may only qualify on the basis of seven years immediately preceding the application.

Under recent rules, the foreign worker must have worked for the corporation for at least one year in the preceding three years prior to getting the visa.

Under the modified Bucharest formula ( which remained in effect in late 1980s ), prices were fixed every year and were based on a moving average of world prices for the preceding five years.

Under the entry Charactère, D ' Alembert critically reviewed the projects of philosophical languages of the preceding century.

Under the preceding identification, one can define the Hilbertian tensor product of H < sub > 1 </ sub > and H < sub > 2 </ sub >, that is isometrically and linearly isomorphic to HS ( H < sub > 1 </ sub >< sup >∗</ sup >, H < sub > 2 </ sub >).

Under the Local Government Act 2001 section 10 ( 3 ) and schedule 6 part 1 chapter 1, the following continue to be known as Boroughs ( though this is largely a matter of nomenclature ) Clonmel, Drogheda, Kilkenny, Sligo, Wexford.

Under these circumstances, during much of the Siege of Leningrad ( 1941 – 1944 ), Lake Ladoga provided the only access to the besieged city because a section of the eastern shore remained in Soviet hands.

Under section 3 of the Criminal Procedure ( Insanity and Unfitness to Plead ) Act 1991:

Under section 42 of the Constitution of Queensland the Premier and other members of Cabinet are appointed by the Governor and are collectively responsible to Parliament.

Under the section entitled " Whether the hen or the egg came first ", the discussion is introduced in such a way suggesting that the origin of the dilemma was even older:

Under section 46 of the Code of Civil Procedure, all judicial courts and judges in Quebec are vested with "... all the powers necessary for the exercise of their jurisdiction ".

" Under this section, employers may not make rules that prevent an employee from disclosing information to the government in furtherance of a false claims action, an employer may not discharge, demote, suspend, threaten, harass, deny promotion to, or in any other manner discriminate against, an employee in the terms and conditions of employment because he or she has disclosed information to the government.

Under this completed contract, workgangs made up almost entirely of Mormons built much of the Union Pacific track in the Utah territory including the difficult section requiring extensive blasting and tunneling through the Weber River canyon.

Under the Archives Act 1983, ASIO files can be released to the public after 30 years unless they fall into any of 16 exemption categories ( as itemised in section 33 of the Archives Act ).

Under the Hoover administration, she worked on and headed the women's section of the President's Emergency Committee for Employment in 1930, where she worked to gain the cooperation of women's groups for reducing unemployment.

Under suitable topological restrictions, a suitably " consistent " collection of finite-dimensional distributions can be used to define a stochastic process ( see Kolmogorov extension in the next section ).

Under section 43 ( a ) of the Lanham Act, a product's trade dress can be protected without formal registration with the PTO.

Twenty-three species of flora listed as rare and threatened ( Under Queensland legislation ) have been found in the park, including the iconic Livistona nitida ( Carnarvon Fan Palm, Carnarvon Gorge section ), Cadellia pentastylis ( Ooline, Moolayember section ), and Stemmacantha australis ( Austral Cornflower, Mount Moffatt section ).

Under section 9 ( a ) of the NLRA, federal courts have held that wildcat strikes are illegal, and that workers must formally request that the National Labor Relations Board end their association with their labor union if they feel that the union is not sufficiently supportive of them before they can legally go on strike.

Under section 60 of the Government of Ireland Act 1920, Northern Ireland was placed under the jurisdiction of the Royal Irish Constabulary ( RIC ).

Under these circumstances, a column may be unable to meet the particular wants of troops engaged in the vicinity ; for instance, a cavalry regiment would send in vain to a heavy artillery ammunition section for pom-pom cartridges.

Under the first stage, the Baker Street-to-Stanmore branch of the Bakerloo line was joined at Baker Street to a new segment into central London, with intermediate stops at Bond Street and Green Park and terminating at a new station at Charing Cross, thereby relieving pressure on the West End section of the Bakerloo line between Baker Street and Charing Cross and also allowing increased frequencies on the section north of Baker Street.

Franz Kafka ( 1883-1924 ): " The Metamorphosis " ( 1915 ), The Trial ( 1925 ), The Castle ( 1926 ); Rainer Maria Rilke ( 1875-1926 ): The Notebooks of Malte Laurids Brigge ( 1910 ); Alfred Döblin ( 1857-1957 ): Berlin Alexanderplatz ( 1929 ); Wyndham Lewis ( 1882-1957 ); Djuna Barnes ( 1892-1982 ): Nightwood ( 1936 ); Malcolm Lowry ( 1909-57 ): Under the Volcano ( 1947 ); Ernest Hemingway ; William Faulkner ; James Hanley ( 1897-1985 ); James Joyce ( 1882-1941 ): " The Nighttown " section of Ulysses ( 1922 ); Patrick White ( 1912-90 ); D. H. Lawrence ; Sheila Watson: Double Hook ; Elias Canetti: Auto de Fe ; Thomas Pynchon.

Under the Australian legal system, mandamus is available through section 75 ( v ) of the Australian Constitution.

The c extended in 1985 when an extra age group, the Under 14 ( Junior ) section was introduced and again the first champions were from Scotland, as Rangers F. C.

The Under 19 ( Elite ) section was introduced in 1995 with the Welsh finishing the tournament as winners.

There is a junior section for under 18's, down to Under 8's, and a ladies side.