Sentence examples for for these sums from inspiring English sources

Exactly what the I.N.C. provided in exchange for these sums has yet to be fully explained.

Whether there exists exact values for these sums are three interesting open problems.

Therefore, we will look for asymptotic expansions for these sums and will give some tight inequalities that bound (I_{p}) and (J_{p}).

The degrees of freedom (df) for these sums of squares are as follows: Total df = n - 1 (where n is the total number of observations) = 9 - 1 = 8 Between treatments df = number of treatments - 1 = 3 - 1 = 2 Within treatments df = total df - between treatments df = 8 - 2 = 6 This partitioning of the total sum of squares is presented in an analysis of variance table (Table 3).

We gave reciprocity laws for one of these sums.

The aim of this paper is to prove a reciprocity law for one of these sums.

For many, these sums are more than they can afford.

Of course, compared with the bill from the nuclear industry—estimated clean-up cost £42 billion this looks like peanuts.You might imagine that the government is getting plaudits from miners for paying out these sums.

One researcher states that over the past decade Western zoos have spent around £334m on enclosures for elephants without any evidence of improvements for the animals, adding: "These sums are worrying because they are staggering compared with what it would take to conserve these animals better in Africa and Asia".

These sums for a brief sporting festival are obscene, whoever is paying.

It is barely credible that, year after year into an indefinite future, benefactors will stump up these sums for annual maintenance costs.