`` I think our report sums up our finding '', Gross answered.

Mr. Kennan sums up his judgment of what went wrong this way:

According to RFE / RL, comparable sums are believed to be transferred through non-bank systems, implying that cash remittances make up approximately 30 percent of Armenia's GDP in the first half of 2008.

With two or more equally determined players, this can result in a " bidding war " where the attribute is driven up by increments to large sums.

In the Anticlaudianus he sums up as follows: Reason, guided by prudence, can unaided discover most of the truths of the physical order ; for the apprehension of religious truths it must trust to faith.

There were sufficient hard up borrowers to take the inducement offered them by management ( in spite of few simple sums sufficing to demonstrate that they were probably going to end up effectively paying back the inducement ).

These higher stakes contests also opened up the door to reality television contests such as Survivor and Big Brother, in which contestants win large sums of money for outlasting their peers in a given environment.

In his article entitled " The Demiurge ," J. P. Arendzen sums up the Valentinian view of the salvation of man.

Quid pro quo, sums up the concept of logrolling in the United States ’ political process today.

In Value, Price and Profit ( 1865 ), Karl Marx quotes Adam Smith and sums up:

The phrase " everything louder than everyone else " sums up Lemmy's sonic approach, as he plays at the loudest possible levels.

14 – 15 ), while Angus, in a similar nimism, sums up what everybody thinks ever since Macbeth's accession to power: " now does he feel his title / Hang loose about him, like a giant's robe / upon a dwarfish thief " ( V, 2, ll.

Literary scholar Peter Childs sums up the complexity:

The Austrian lawyer and scholar Philipp Wilhelm von Hornick, in his Austria Over All, If She Only Will of 1684, detailed a nine-point program of what he deemed effective national economy, which sums up the tenets of mercantilism comprehensively:

Dr Pfeifer sums up his findings by saying:

On noting the large number of surviving ancient manuscripts, Bruce Metzger sums up the view on the issue by saying " The more often you have copies that agree with each other, especially if they emerge from different geographical areas, the more you can cross-check them to figure out what the original document was like.

She sums up her relationship with Victor in this episode by telling Ben ( her admirer ) " Victor's the most sensitive person I know-and that's why I love him.

As the means so the end ...” A contemporary quote sometimes attributed to Gandhi, but also to A. J. Muste, sums it up: ' There is no way to peace ; peace is the way.

And in its final lines the Gest sums up:

The Yukti Kalpa Taru sums up in a condensed form all the available information.

The noted academic writer on science fiction Edward James sums up the New Wave and its impact as follows:

He sums up his teleological argument as follows.

The war forced Britain to use up its financial reserves and borrow large sums from the U. S.

It sums up the issues between the Puritan school and that of Richard Hooker, and was posthumously published.

The empire spent massive sums on Western civilian and military technology to try to modernize and compete with the encroaching European powers, and in the process went deep into debt to these powers.

By 1937, Hitler started to increase both the sums of Reichmarks and raw materials to the Kriegsmarine, reflecting the increasing conviction that if war came, then Britain would be an enemy, not an ally of Germany.

The Secretary of the Treasury is authorized and directed out of the sums covered into any of the funds pursuant to subsection ( B ) of this section, and after making the deduction provided for in Section 7 ( B ) of this Title -- ( 1 )

There is hereby authorized to be appropriated, out of any money in the Treasury not otherwise appropriated, such sums as may be necessary to enable the Commission to carry out its functions under this Title.

In addition, disclosures that missile workers were earning sums far in excess of what is paid for equivalent work elsewhere provoked his indignation on behalf of the American taxpayer who was footing the bill.

# As exploratory data analysis, an ANOVA is an organization of an additive data decomposition, and its sums of squares indicate the variance of each component of the decomposition ( or, equivalently, each set of terms of a linear model ).

Using the F-distribution is a natural candidate because the test statistic is the ratio of two scaled sums of squares each of which follows a scaled chi-squared distribution.

A key problem in the design of good algorithms for this problem is that formulas for the variance may involve sums of squares, which can lead to numerical instability as well as to arithmetic overflow when dealing with large values.

' Karma ' is the accumulated sums of one's good or bad deeds.

An example of an NP-complete problem is the subset sum problem: given a finite set of integers is there a non-empty subset which sums to zero?

One example is of a then Finnish mobile network company Sonera, which paid huge sums in German broadband auction then dubbed as 3G licenses.

A linear Diophantine equation is an equation between two sums of monomials of degree zero or one.

In the context of computing asymptotic expansions of sums and series, usually the most useful form of the Euler – Maclaurin formula is

where Σ represent algebraic sums and the indices k refer to the various places where heat is supplied, matter flows into the system, and boundaries are moving.

In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

Because complex differentiation is linear and obeys the product, quotient, and chain rules, the sums, products and compositions of holomorphic functions are holomorphic, and the quotient of two holomorphic functions is holomorphic wherever the denominator is not zero.

If not, it is a sum of central orthogonal idempotents, which in turn are primitive or sums of more central idempotents, and so on.

Euler is well known in analysis for his frequent use and development of power series, the expression of functions as sums of infinitely many terms, such as

where μ is the Möbius function and the sums extend over all positive divisors d of n. In effect, the original f ( n ) can be determined given g ( n ) by using the inversion formula.

An equivalent procedure, which is often easier to perform mentally, is to express the heap sizes as sums of distinct powers of 2, cancel pairs of equal powers, and then add what's left: