Examples of summand

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In the first summand we can interchange the order of integration.
We note that each summand may be rewritten as follows.
Each summand can be decomposed into a sum of expressions (a) and (b).
If it is, no run-time summand tags or checks are needed.
For the summand the bound (7.38) follows easily, since is a pre-log-log form.
The second summand is already basic of the right weight.
The availability of ab only depends on whether the other summand c(x).
Now we consider an index i for which the corresponding summand has not been eliminated in this way.
The first and the third summand on the right-hand side are in fact equal.
As is customary, we will omit summand projections and injections.
The first summand here is already a multiple of a p-basic element.
The first summand is, by induction, a linear combination of p-basic elements, while the second is already a multiple of a p-basic element.
We may restrict to the case where is just one summand of (2.48).
We note that the first summand when r 1!
In (3) the first sum has two - terms, the second vanishes and the third has only one summand.
This takes care of the worst case of intersection between intervals with n as a summand.
Each summand contains the product of 2m - 1 such terms.
The regularizing multiplier ao0 is used to balance between goodness of fit to the data (first summand) and the smoothness of the p(r) function (second summand).

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