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

Provided and are
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 that the complexity classes P and NP are not equal, none of these restrictions are NP-complete, unlike SAT.
Provided the sample size is adequate, the risks associated with random allocation ( such as failing to obtain a representative sample in a survey, or having a serious imbalance in a key characteristic between a treatment group and a control group ) are calculable and hence can be managed down to an acceptable level.
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 the programmer is careful, only the values that are required to produce a particular result are evaluated.
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 the development coordinator has a communications medium at least as good as the Internet, and knows how to lead without coercion, many heads are inevitably better than one.
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.
Provided the provisions of the Act are met, legislation can be passed without the approval of the House of Lords.
Provided that all the particles are loaded simultaneously or near-simultaneously, particles of the same size should elute together.
Provided in either the age-hardenable condition or as tempered ware, they are used in springs and wire forms which are electrical conductors, or where retention of properties at elevated temperatures is important.
Provided the limits are close to each other, a steady room temperature is maintained.
Provided sufficient food and shelter is available, they are surprisingly hardy, able to tolerate temperatures down to at least-20 ° C.
Provided they are, a certificate will be issued to that effect, valid for a limited period.
Provided certain rules are followed during encoding, UTF-7 can be sent in e-mail without using an underlying MIME transfer encoding, but still must be explicitly identified as the text character set.
Provided nevertheless, and these Presents are on this Condition, that if the said James shall pay the said Stephen Jones or his Assigns 15 Pounds British in twenty one Days after his arrival he shall be Free, and the above Indenture and every Clause therein, absolutely Void and of no Effect.
Provided certain conditions are met, a charter township is mostly exempt from annexation from contiguous cities or villages, and carries additional rights and responsibilities of home rule.
:" Provided that any Indian to whom allotments have been made on the tract to be ceded may, in case they elect to do so before said lands are offered for sale, relinquish same and select allotments in lieu thereof on the diminished reservation.
Provided the player already has a somewhat modern computer and an Internet connection, there are no further up-front equipment costs to get started.
Provided by numerous public, private and Catholic schools, some of which are combined with secondary education as one P-12 college ( denoted c .).

Provided and sufficiently
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 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 it is correctly programmed, sufficiently powerful, and the keys not intercepted, encryption would usually be considered secure.
Provided the radius of turn is sufficiently great ( as should be expected for express passenger services ), two or three linked wheelsets should not present a problem.

Provided and close
Provided that the pulse is short enough compared to the impulse response, the result will be close to the true, theoretical, impulse response.
Provided these are close to equity in nature, in that they are able to take losses on the face value without triggering a liquidation of the bank, they may be counted as capital.

Provided and resulting
Provided with a legal framework within which to operate, lobbyists can push for amendments and exceptions favorable to large-scale production, resulting in " legally organic " products produced in ways similar to current conventional food.

Provided and points
Provided all end points do this, the congestion lifts and good use of the network occurs, and the end points all get a fair share of the available bandwidth.

Provided and may
Provided, That nothing in this provision shall be construed to limit the life of the Commission, or its authority to act on future agreements which may be effected under the provisions of this legislation.
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, as an express and fundamental condition to the acquisition of any territory from the Republic of Mexico by the United States, by virtue of any treaty which may be negotiated between them, and to the use by the Executive of the moneys herein appropriated, neither slavery nor involuntary servitude shall ever exist in any part of said territory, except for crime, whereof the party shall first be duly convicted.
* 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 .”
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 the subterfuge works, charges may be placed under the victim's name, letting the criminal off the hook.
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.
:::( 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 said tract of land in the State of Nebraska shall be reserved, by Executive order, only so long as it may be needed for the use and protection of the Indians receiving rations and annuities at the Pine Ridge Agency.
; Unsure of position: Provided there is no apparent danger of stranding or hitting rocks, a " pan-pan " call on marine VHF radio may allow nearby coast-stations and perhaps other vessels to triangulate the source of the transmissions and provide the skipper with both a fix and perhaps some advice on the best course to steer to reach a safe haven.
( 1 ) Official station identification shall consist of the station's call letters immediately followed by the community or communities specified in its license as the station's location ; Provided, That the name of the licensee, the station's frequency, the station's channel number, as stated on the station's license, and / or the station's network affiliation may be inserted between the call letters and station location.
:" Provided, That, as an express and fundamental condition to the acquisition of any territory from the Republic of Mexico by the United States, by virtue of any treaty which may be negotiated between them, and to the use by the Executive of the moneys herein appropriated, neither slavery nor involuntary servitude shall ever exist in any part of said territory, except for crime, whereof the party shall first be duly convicted.
Provided that the parts are well-proportioned and the plates properly rivetted, you may strip off the chains and have it as a useful Monument of the enterprise and energy of the age in which it was constructed.
: Eight hours shall, in contracts for labor and service, be deemed a day's work and the measure of standard of a day's work for the purpose of reckoning the compensation for services of all employees who are now or may hereafter be employed by any common carrier by railroad, except railroads independently owned and operated not exceeding one hundred miles in length, electric street railroads, and electric interurban railroads, which is subject to the provisions of subtitle IV of Title 49, and who are now or may hereafter be actually engaged in any capacity in the operation of trains used for the transportation of persons or property on railroads, except railroads independently owned and operated not exceeding one hundred miles in length, electric street railroads, and electric interurban railroads, from any State or Territory of the United States or the District of Columbia to any other State or Territory of the United States or the District of Columbia, or from one place in the United States to an adjacent foreign country, or from any place in the United States through a foreign country to any other place in the United States: Provided, That the above exceptions shall not apply to railroads though less than one hundred miles in length whose principal business is leasing or furnishing terminal or transfer facilities to other railroads, or are themselves engaged in transfers of freight between railroads or between railroads and industrial plants.
Provided a save game is present, the player may do so, and can revisit nearly all of the locations, once they have been unlocked via an in-game cutscene.
: 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 they have already taken the Multistate Bar Examination ( MBE ), they may omit that portion of the California Bar Examination.
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.

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