Differentiate (1.15) with respect to (x_{s}), (s=1, 2, ldots, N, N+1), (x_{N+1}=t), and sum up for s after multiplying the resulting relation by (u_{varepsilon x_{s}}frac{S_{eta}(|operatorname{grad}u_{varepsilon}|)}{ |operatorname{grad}u_{varepsilon}|}).
Demand growth is considered here by multiplying the demand relation for the initial period (t = 0) with a compound growth rate (1 + r) t, where r is the growth rate per time interval (e.g., per week, month, or year) and t represents intervals of growth (Fig. 2).
Differentiate (2.6) with respect to (x_{s}), (s=1, 2, ldots, N, N+1), (x_{N+1}=t), and sum up for s after multiplying the resulting relation by (u_{varepsilon x_{s}}frac{S_{eta} vert operatorname {grad}u_{varepsilon} vert )}{vert operatorname {grad}u_{varepsilon} vert }).
Multiplying the first of these relations by and the second by, subtracting the second resulting relation from the first, and integrating the resulting difference from zero to infinity, we obtain (2.6).
Ice multiplied the risks.
Those ceilings multiply the roar.
China's many dialects multiply the risks.
As the detractors multiplied, the shares struggled.
This money multiplies the GDP.
Multiply the two distances.
