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Most areas in the periphery of the city have an average surge multiplier equal to 1.0, but there is a considerable percentage, almost 70% which has a higher multiplier.

Therefore, the Lagrange multipliers (;{varvec{uplambda}}) and ({varvec{upmu}}) can be determined from reduced system of linear equations (11) with any one of them eliminated (of course, with setting a corresponding multiplier equal to zero).

In order to account for the uncertainty associated with these imputations, we would need to have multiple sets of data, a requirement that would increase the operational burden by a multiplier equal to the number of imputations (often 5).

Since any N + M − 1 among N + M constraints (19) are mutually independent while ({mathbf{e}}_{N}^{prime } {mathbf{u}} = {mathbf{e}}_{M}^{prime } {mathbf{v}}), the Lagrange multipliers (;{varvec{uplambda}}) and ({varvec{upmu}}) can be determined from reduced system of linear equations (21) with any one of them eliminated with setting a corresponding multiplier equal to zero.

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Via Mark Thoma, Sylvain Leduc of the San Francisco Fed surveys empirical work on fiscal multipliers and finds that tax cuts tend to have larger multipliers than spending.

Only the samples associated with the SVs are summed because the other elements of the optimal Lagrange multiplier α* are equal to zero.

In particular, = (s + t, t) ∈ Σ. Taking v = u in (2), one can see that the Lagrange multiplier t is equal to the corresponding critical value of J ̃ s.

If no bit is eliminated during the multiplication, the multiplier output word-length is equal to 32 bits.

Observation B: A multiplier graph with A-depth equal to N d can generate coefficients with at most 2 Nd nonzero digits.

Moreover, a stationary point of NLP2 is a solution of the asymmetric CCEiCP, if and only if the Lagrange multipliers associated with the equalities in NLP2 are equal to zero.

Since is a convex function for the spectrogram distribution functions, we first solve the simulteneous equations, that is, derivatives of the sum of and Lagrange multipliers for condition (18) are equal to zero, and then obtain the spectrogram distribution functions, (21).

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