Determine the sum of the products obtained in item 8 above, for all the States.

Determine the ratio that the amount being allotted is to the sum of the products for all the States.

I discern no limits to a faith vested in God and Christ, who is the sum of all wisdom and knowledge, and daring to trust Him even though called to stand alone before the world.

If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.

and the latter is the total sum of all the numbers in the square, by which all the other numbers are overshadowed and in which they may be said to be absorbed.

it is also their mathematical mean, since it is equal to half the sum of every opposing pair, all of which equal 10.

Anarcho-capitalists argue for a society based on the voluntary trade of private property and services ( in sum, all relationships not caused by threats or violence, including exchanges of money, consumer goods, land, and capital goods ) in order to minimize conflict while maximizing individual liberty and prosperity.

The Trust was funded by a gift of $ 10 million ( a then unprecedented sum: at the time, total government assistance to all four Scottish universities was about £ 50, 000 a year ) and its aim was to improve and extend the opportunities for scientific research in the Scottish universities and to enable the deserving and qualified youth of Scotland to attend a university.

As the title implies, any active device received the sum of all transmitted messages in universal space-time, in a single pulse, so that demultiplexing yielded information about the past, present, and future.

and mean that the sum or product is over all prime numbers:

Similarly, and mean that the sum or product is over all prime powers with strictly positive exponent ( so 1 is not counted ):

and mean that the sum or product is over all positive divisors of n, including 1 and n.

The notations can be combined: and mean that the sum or product is over all prime divisors of n.

and similarly and mean that the sum or product is over all prime powers dividing n.

In February 1705, Queen Anne, who had made Marlborough a Duke in 1702, granted him the Park of Woodstock and promised a sum of £ 240, 000 to build a suitable house as a gift from a grateful crown in recognition of his victory – a victory which British historian Sir Edward Shepherd Creasy considered one of the pivotal battles in history, writing – " Had it not been for Blenheim, all Europe might at this day suffer under the effect of French conquests resembling those of Alexander in extent and those of the Romans in durability.

The slope of the surface adjusts to make all three forces sum to zero.

To quote Anthony and Brackett: Moreover, because the element of water does not move, the sum of all three forces must be zero.

* Arithmetic mean – the sum of all measurements divided by the number of observations in the data set

The total contact force on the particular internal surface is then expressed as the sum ( surface integral ) of the contact forces on all differential surfaces:

Thus, the sum of all applied forces and torques ( with respect to the origin of the coordinate system ) in the body can be given by

In On War, Clausewitz sees all wars as the sum of decisions, actions, and reactions in an uncertain and dangerous context, and also as a socio-political phenomenon.

The censors had the general superintendence of all the public buildings and works ( opera publica ), and to meet the expenses connected with this part of their duties, the senate voted them a certain sum of money or certain revenues, to which they were restricted, but which they might at the same time employ according to their discretion.

The reflected light being the sum of the incoming light ( L < sub > i </ sub >) from all directions, multiplied by the surface reflection and incoming angle.

He theorized that all humans are born free of any knowledge and are the sum of their experiences.

Drain off the water at such a time that the wheel has become substantially empty of water at the end of the sum of the times shown in Columns A and C, measured from the time the wash wheel was started.

Drain off the water at such a time that the wheel has become substantially empty of water at the end of the sum of the times shown in Columns A, C, and E, measured from the time the wash wheel was started.

The Euler – Maclaurin formula provides expressions for the difference between the sum and the integral in terms of the higher derivatives ƒ < sup >( k )</ sup > at the end points of the interval m and n. Explicitly, for any natural number p, we have

Earlier Berkeley studies estimated that by the end of 1999, the sum of human-produced information ( including all audio, video recordings and text / books ) was about 12 exabytes of data.

" But in spite of this, and though the plotters offered him a large sum of money from the Pope, as well as safe passage for his wife and children to come to him from England, in the end he declined to have anything further to do with their plans and begged pardon from Sir Robert Cecil and from the Queen.

The sum is then a third arrow that goes directly from the start of the first to the end of the second.

It is divided into ( a ) the North African interrogations, ( b ) information gathered after the end of the war, and ( c ) an attempt to sum up the evidence for and against the possibility of German successes.

By contrast, an ordinary seamen in the Royal Navy received 19s per month to be paid in a lump sum at the end of a tour of duty which was around half the rate paid in the Merchant Navy.

At the film's end, he transfers his " katra " – the sum of his memories and experience – to McCoy, and then sacrifices himself to save the ship and its crew from Khan Noonien Singh ( Ricardo Montalbán ).

Years of litigation did not end until 1824, at which point the State of New York and the federal government owed Tompkins $ 90, 000, a significant sum in those days.

By the end of the decade though, home sales began to take off and in March 1939 there were 23 new homes under construction totaling a value of about $ 140, 000, quite a large sum at the time.

They agreed that the return of Java to the Netherlands, as according to a Convention on Java of 24 June 1817, had been settled, apart from a sum of 100, 000 pounds sterling to be paid by the Netherlands in London before the end of 1825.

This work finally halted in 1330 with the castle still not built to its intended height ; by the end of the project, £ 15, 000 had been spent, a colossal sum for the period.

The name also forms the basis for the Arabic word for the Egyptian pound الجنيه el-Gineih, as a sum of 100 qurush ( i. e., one pound ) was worth approximately 21 shillings at the end of the 19th century.

But already at the end of the 6th dynasty the sum of domains abated quickly.

For example, students are often given literature lessons at the beginning of the learning experience, when it is the sum of events, making the subject relevant for the end of learning ; This gives the student time to shape his or her own views before being told how history or some one else has seen something.

Yale end Larry Kelley sold his 1936 Heisman in December 1999 for the sum of $ 328, 110 to settle his estate and to provide a bequeathment for his family.

Despite making direct appeals based on Wagner's role as a composer of the new German Reich, the Societies and other fundraising channels were well short of the needed sum by the end of 1872.

By the end of the 12th century, the English population had increased, so the ecclesiastical authorities were collecting more than the stabilized sum, and keeping the surplus.

Towards the end of 1846, the Great Irish Famine was under way and the British Relief Association formed with the sum of £ 500, 000 subscribed for the relief of the sufferers.

It is continuous fighting, where you do not break the bout for scoring, but sum up point scores at the end of the bout.

* " Golf "-A player's score is the sum of the numbers remaining uncovered at the end of his turn.

In or about end of 1934 the directors considered to associate a local individual in the managing agency and to raise by way of mortgage debentures a sum of Rs. 50, 000 /- for meeting liabilities pertaining to the additional machinery and meeting certain overdue liabilities.

In the bill's latest form, the tax would have been a multiple-time affair, a sum of US $ 1 per work charged 50 years after the date of first publication or on December 31, 2006, whichever occurs later, and every 10 years thereafter until the end of the copyright term, only on works first published within the United States ( as charging it from foreigners would violate the Berne convention except in some interpretations of the Berne three-step test ).

For a loan of $ 10, 000 ( paid at the end of the year in a single lump sum ), the borrower would pay $ 51. 56 more than one who was charged 10 % interest, compounded annually.