Sentence examples for doubled sum from inspiring English sources
He can only do better if the second player returns more than he keeps.Sadly for those with a high regard for human nature, the first players sent an average of $12.41 to their partners, who returned an average of 45% of the doubled sum.
According to Founder and CEO Oliver Holle, the fund has invested more than €1 million in those four startups and doubled that sum through co-investors.
Although universities had a scant 90 days to draw up proposals for this year's awards, 157 applications were submitted, and the quality was so high that NSF nearly doubled the sum of money it initially planned to spend.
Results were much the same for Republicans: Yes-voters received an average of about $66,000 while no-voters more than doubled that sum with average receipts of nearly $133,000.
Reversing the double sum of (A.11) and using [10, equation (8.352.4 ], we obtain (A.2).
Each term of the double sum of Eq. 10 corresponds to a different degree n k, where n k is a real number.
When the number of earthquakes is very large, the computing takes substantially long time due to the double sum in the first term of the log likelihood (8).
If the linearization formula of (P_n(x)) is available then we can compute (A_{i,j}) coefficients in Eq. (3) by using one sum instead of using double sum in Eq. (4).
It reads (11 with (12)where δ denotes Dirac's delta function, e r, e ϑ and e φ are unit vectors of the spherical coordinate system, and is a short expression for the double sum in Eq. (9).
One may be interested in a quicker but approximate computation by only taking the double sum of the earthquake pairs closer than a certain distance, such as 4 times of the Utsu Spatial Distance 3.33 × 100.5M−2 km (cf., Section 3).
This observation encourages one to limit computations of the double sum in Equation 14 only to the neighborhood N i) of node i and yet get a potentially close approximation of the precise value of partial derivatives.
