Provided that certain conditions are met ( chiefly that the sample is drawn randomly from the entire sample ) these samples permit accurate estimation of population parameters.

Provided that negative and small positive values of the sample mean occur with negligible frequency, the probability distribution of the coefficient of variation for a sample of size n has been shown by Hendricks and Robey to be

Provided that all the particles are loaded simultaneously or near-simultaneously, particles of the same size should elute together.

if such person is deceased or is under a legal disability, payment shall be made to his legal representative: Provided, That if the total award is not over $500 and there is no qualified executor or administrator, payment may be made to the person or persons found by the Comptroller General of the United States to be entitled thereto, without the necessity of compliance with the requirements of law with respect to the administration of estates ; ;

Provided that an applet is hosted by an operating system, it can function as any other normal software application but is and performs only a small set of tasks.

Provided that the temperature is measured in the thermodynamic absolute scale, the relation is expressed in the formula

Provided the heavy fuel system is kept warm and circulating, engines can be started and stopped on heavy fuel.

Provided the theory is linear with respect to the wavefunction, the exact form of the quantum dynamics modelled, be it the non-relativistic Schrödinger equation, relativistic quantum field theory or some form of quantum gravity or string theory, does not alter the validity of MWI since MWI is a metatheory applicable to all linear quantum theories, and there is no experimental evidence for any non-linearity of the wavefunction in physics.

Provided a law is properly formed, in accordance with the rules recognized in the society concerned, it is a valid law, regardless of whether it is just by some other standard.

Provided the programmer is careful, only the values that are required to produce a particular result are evaluated.

Given a function ƒ defined over the reals x, and its derivative ƒ < nowiki > '</ nowiki >, we begin with a first guess x < sub > 0 </ sub > for a root of the function f. Provided the function is reasonably well-behaved a better approximation x < sub > 1 </ sub > is

Provided that he controls the Cabinet, maintains party discipline, and commands a majority in the Commons, the Prime Minister is assured of putting through his legislative agenda.

" makes allusions to Tantalus in lines in the first stanza, especially lines two through four: "' Heaven '— is what I cannot reach !/ The Apple on the Tree —/ Provided it do hopeless — hang —/ That —' Heaven ' is — to Me!

Provided that taxonomists agree as to the limits of a species, it can have only one name that is correct under the appropriate nomenclature code, generally the earliest published if two or more names are accidentally assigned to a species.

Provided that the actual sampling time uncertainty due to the clock jitter is, the error caused by this phenomenon can be estimated as.

Provided that adequate capital could be raised from potential investors, agreements obtained from the landowners along the proposed route and, in Britain, an Act of Parliament obtained ( different terminology is used in other countries ), then construction might begin either by a new company specially formed to build and run it or by an existing company.

Provided one works at a sufficiently abstract level, the control flows in a computation can usually be represented as a finite state machine, so to complete the X-machine specification all that remains is to specify the processing associated with each of the machine's transitions.

Provided all the systems enforce similar password standards ( e. g. concerning minimum and maximum password length, complexity and re-use rules ), the user can choose a new password at any time and deploy the same password across all the associated systems.

and ( C ) to finance, for not more than three years beyond the end of said period, such activities as are required to correlate, coordinate, and round out the results of studies and research undertaken pursuant to this Act: Provided, That funds available in any one year for research and development may, subject to the approval of the Secretary of State to assure that such activities are consistent with the foreign policy objectives of the United States, be expended in cooperation with public or private agencies in foreign countries in the development of processes useful to the program in the United States: And provided further, That every such contract or agreement made with any public or private agency in a foreign country shall contain provisions effective to insure that the results or information developed in connection therewith shall be available without cost to the United States for the use of the United States throughout the world and for the use of the general public within the United States.

Provided the underlying scalars form a field ( more generally, a commutative ring with unity ), the definition below shows that such a function exists, and it can be shown to be unique.

Provided the electron gun can generate a beam with sufficiently small diameter, a SEM could in principle work entirely without condenser or objective lenses, although it might not be very versatile or achieve very high resolution.

Provided that OSPF is configured correctly, OSPF forms neighbor relationships only with the routers directly connected to it.

Provided the interaction is attractive, an exciton can bind with other excitons to form a biexciton, analogous to a dihydrogen molecule.

Provided the clamp is well built with the right amount of ventilation, the beets do not significantly deteriorate.

Provided that the edges are either already sorted or can be sorted in linear time ( for example with counting sort or radix sort ), the algorithm can use more sophisticated disjoint-set data structure to run in O ( E α ( V )) time, where α is the extremely slowly growing inverse of the single-valued Ackermann function.

* a court or courts may be established in Indian Territory with such jurisdiction and organization as Congress may prescribe: “ Provided that the same shall not interfere with the local judiciary of either of said nations .”

Provided with a human face and a scaly tail, as in Dante's vision of Geryon in Inferno xvii. 7 – 17, 25 – 27, hybrid monsters, more akin to the Manticore of Pliny's Natural History ( viii. 90 ), provided iconic representations of hypocrisy and fraud well into the seventeenth century, through an emblemmatic representation in Cesare Ripa's Iconologia.

Provided with this and with other recommendations secured in the same way, Hayyun traveled throughout Moravia and Silesia, propagating everywhere his Sabbatean teachings.

Provided the expenditure is not coordinated with the other candidate, this type of spending is not limited.

Provided, That no money shall be paid out under this act to any State or Territory for the support and maintenance of a college where a distinction of race or color is made in the admission of students, but the establishment and maintenance of such colleges separately for white and colored students shall be held to be a compliance with the provisions of this act if the funds received in such State or Territory be equitably divided as hereinafter set forth.

Provided with an enemy intelligence windfall accrued during Operations Cedar Falls and Junction City, the CIA members of the group believed that the number of communist guerrillas, irregulars, and cadre within the South could be as high as 430, 000.

Provided with " blacklists " of military officers and civil servants, they began to round up and execute any that could be found.

Provided that he continued to act in accordance with his technical status as a Vietnamese military governor, the Vietnamese authorities promised not to trouble the Black Flag leader.

Written evidence that the claimant and any such attorney have agreed to the amount of the attorney's fees shall be conclusive upon the Commission: Provided, however, That the total amount of the fees so agreed upon does not exceed 10 per centum of the total amount paid pursuant to the award.

First included in the Pine Ridge Indian Reservation, most of the county was removed from the reservation for 26 years after a 1910 act of the US Congress which " authorized and directed the Secretary of Interior to sell and dispose of all that portion of the Pine Ridge Indian Reservation, in the State of South Dakota, lying and being in Bennett County and described as follows: "... except for such portions therof as have been or may be hereafter allotted to Indians or otherwise reserved, and except lands classified as timber lands: Provided ,..." The lands were allotted and Bennett County was opened for settlement.

Provided cheap labour for big state projects, such as the Autobahns.

Resolved unanimously, that the delegates appointed to represent this colony in General Congress be instructed to propose to that respectable body to declare the United Colonies free and independent states, absolved from all allegiance to, or dependence upon, the crown or parliament of Great Britain ; and that they give the assent of this colony to such declaration, and to whatever measures may be thought proper and necessary by the Congress for forming foreign alliances and a confederation of the colonies, at such time, and in the manner, as to them shall seem best: Provided, that the power of forming government for, and the regulations of the internal concerns of each colony, be left to the respective colonial legislatures.

Provided we choose L and M such that:

:::( 2 ) If any arrestor attempts to arrest a suspect and the suspect resists the attempt, or flees, or resists the attempt and flees, when it is clear that an attempt to arrest him or her is being made, and the suspect cannot be arrested without the use of force, the arrestor may, in order to effect the arrest, use such force as may be reasonably necessary and proportional in the circumstances to overcome resistance or to prevent the suspect from fleeing: Provided that the arrestor is justified in terms of this section in using deadly force that is intended or is likely to cause death or grievous bodily harm to a suspect, only if he or she believes on reasonable grounds -

::: Provided that the question whether or not a deputy has conformed to and observed any such instructions shall not be enquired into by any court of law

Provided that proper precautions are taken ( such as adjusting the vitamin amounts to what is believed to be appropriate for children, pregnant women or people with certain medical conditions ), multivitamin intake is generally safe, but research is still ongoing in regard to what health effects multivitamins have.

Provided each observable outcome is the manifestation of an underlying quantitative attribute, such frequencies will generally indicate relative magnitudes of that attribute.

Laktionov became most famous for his genre paintings such as Into a New Flat ( 1952 ) and Old Age Provided For ( 1958 – 60 ).

Provided that no such penalty shall exceed a fine of five hundred pounds or imprisonment for period of two years, excluding the value of any goods forfeited.

: Beginn at a point on the eastern bank of the Coosa river, where the south boundary line of the Cherokee nation crosses the same ; running from thence down the said Coosa river with its eastern bank according to its various meanders to a point one mile above the mouth of Cedar creek, at Fort Williams, thence east two miles, thence south two miles, thence west to the eastern bank of the said Coosa river, thence down the eastern bank thereof according to its various meanders to a point opposite the upper end of the great falls, ( called by the natives Woetumka ,) thence east from a true meridian line to a point due north of the mouth of Ofucshee, thence south by a like meridian line to the mouth of Ofucshee on the south side of the Tallapoosa river, thence up the same, according to its various meanders, to a point where a direct course will cross the same at the distance of ten miles from the mouth thereof, thence a direct line to the mouth of Summochico creek, which empties into the Chatahouchie river on the east side thereof below the Eufaulau town, thence east from a true meridian line to a point which shall intersect the line now dividing the lands claimed by the said Creek nation from those claimed and owned by the state of Georgia: Provided, nevertheless, that where any possession of any chief or warrior of the Creek nation, who shall have been friendly to the United States during the war and taken an active part therein, shall be within the territory ceded by these articles to the United States, every such person shall be entitled to a reservation of land within the said territory of one mile square, to include his improvements as near the centre thereof as may be, which shall inure to the said chief or warrior, and his descendants, so long as he or they shall continue to occupy the same, who shall be protected by and subject to the laws of the United States ; but upon the voluntary abandonment thereof, by such possessor or his descendants, the right of occupancy or possession of said lands shall devolve to the United States, and be identified with the right of property ceded hereby.

Provided the Minister exercised his discretion under section 8 in a constitutional manner, he could give such directions as he thought fit, the Court found.

Provided always, that upon the escape of any person into any of the states described in the said resolve of Congress of the 23d day of April, 1784, from whom labor or service is lawfully claimed in any one of the thirteen original states, such fugitive may be lawfully reclaimed and carried back to the person claiming his labor or service as aforesaid, this resolve notwithstanding.