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However formally, sum is a probability measure, and hence a measure of a kind of logical weakness.
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Macmillan liked Tomorrow Is Another Day, while Mitchell preferred Gone With the Wind, based on a line in Ernest Dowson's poem "Cynara" (formally, "Non Sum Qualis Eram Bonae sub Regno Cynarae," published in 1891).
Those terms will not be clear until Spain formally requests a sum of money.
One supposes that g has an analytic continuation to a neighborhood of ([0,infty )) and defines for z real and positive begin{aligned} f z) = int _{0}^{infty } e^{-a} g az) da end{aligned} (3.40 Since (int _{0}^{infty } e^{-a} a^n da = n!), formally f z) is (sum _{n=0}^{infty } a_n z^n). For this method to work, g has to have an analytic continuation so that the integral in (3.40) converges.
Formally, we have (F d) = sum nolimits _{kin {mathbb{F}}} F_k(d)); ({mathbb{W}}) is the set of all weekday holidays.
Consequently, the overall electrode impedance is formally divided into the parallel sum of two global impedances, characteristic for two types of the surface and related by corresponding fractional surface coverage.
The seasonal difference in genetic influence was formally tested by comparing the sum of -2lnL for the winter and summer season models with the -2lnL of a model that simultaneously included both seasons.
Horta-Osório's bonus comes on top of his £1m salary, £500,000 pension contribution and a payout from a long-term incentive plan that could total £2.9m – half the potential sum – when it is formally revealed next month.
The basic problem of the 1D maximum subsequence sum may be defined formally as follows.
The higher the closeness centrality, the easier it is to get to other nodes of the network, as closeness centrality is the inverse of the sum of topological distances, formally C_{c}(n_{i})=frac{1}{sum_{j}{d(n_{i},n_{j})}}.
The manipulations in functionally differentiating integrals with respect to the field A, e.g., are formally analogous to partial differetiation of sums over indexed variables, with the spatial label playing the role of an index.
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