The number represented a standard calculation of $1 billion for every 1,000 troops deployed.
In a detailed 16-page analysis of the bond market in March, Mr. Davis and several Vanguard associates deconstructed Treasury yields and projected rates using the "forward yield curve," a standard calculation of the market's assessment of future interest rate levels.
This is a standard calculation; it is used, of course, for final salary pension schemes and it is also one of the ways the OECD compares pension schemes internationally.So why isn't the table there (it was in every previous report since 1989)?
A standard calculation shows that (17) is not satisfied and Theorem 1 cannot be applied.
Remark 2 Under the stronger assumption ∫ 0 ∞ t n − 2 | F ( t ) | d t < ∞, Lemma 2 follows with a standard calculation.
Based upon the ideal gas law, PV=NkT, for the case where N=1, it is a standard calculation to show that the maximum work extracted as the partition moves to the side of the box is kT ln 2.
(30) A standard calculation shows that y is a solution of equation biggl( frac{1}{b^{1/beta}biglvertvert y^{prime}bigrvert ^{1/beta} operatorname {sgn}y^{prime} biggr) ^{prime}+ frac{1}{t^{2}}vert yvert ^{1/alpha} operatorname {sgn}y=0, (31) where (1/beta<1/alpha).
We recall that, by the firm nonexpansivity of (T_{r_{n}}), a standard calculation (see [44]) shows that for (pinoperatorname{GMEP} varTheta,h)) |u_{n}-p|^{2}leq|x_{n}-p|^{2}- |x_{n}-u_{n}|^{2}.
By a standard calculation, using inequality (2.5 and keeping k < 1 in mind, we obtain lim n → ∞ Ω ( x n, x n + 1, x n + 1 ) = 0. We claim that the sequence { x n } is G-Cauchy.
We recall that, by the firm nonexpansivity of (T_{r_{n}}), a standard calculation shows that for (pinoperatorname{GMEP}({varTheta },h)), |u_{n}-p|^{2}leq|x_{n}-p|^{2}- |x_{n}-u_{n}|^{2}.
