Sentence examples for using the previous notations from inspiring English sources

By using the previous notations we can rewrite (7) as follows: (9).

Then, using the previous notations, (27) is rearranged to obtain begin{array}rcl@ boldsymbol{check h}^{T} boldsymbol{V}_{i,1}^{T} boldsymbol{U}_{2} + boldsymbol{check h}^{H} boldsymbol{V}_{i,2}^{T} boldsymbol{U}_{4} = mathbf{0}, end{array} (31).

Indicating with C the Jacobian of the zero injection constraints, and using the previous notation for the weighting matrix and the residuals, they can also be divided as follows: begin{array}{*{20}l} mathbf{H} &= left[ begin{array}{c} mathbf{H}_{m} mathbf{C} end{array} right] end{array} (5).

Using the previous notation, we may define the a priori and a posteriori error signals as begin{array}{*{20}l} e(n) &= d(n) - mathbf{x}^{T}(n) widehat{mathbf{h}} n-1) &= mathbf{x} n-1(n) left[ mathbf{h}(n) - widehat{mathbf{h}}(n-1) right] + v(n), end{array} (2).

Using the previous formal notation, we could express (EDG) as "□(Ex → ∃yFy)".

The previous notations do not account for patient/measurement level.

Use the previous settings.

Using our previous notations and (3), the time to read all tags,, is (4).

Notice that in the previous notation, † denotes the pseudo-inverse.

Then, with the previous notation, it is satisfied that (2.19).

Then, we can write the dynamics of the asset processes using the notations of the previous section: d S^{i}_{t} = S^{i}_{t-}left(d M^{i}_t+alpha^{1}_{t} d leftlangle M^{i},M^{1} rightrangle _t+alpha^{2}_{t} d leftlangle M^{i},M^{2} rightrangle _{t}right) with begin{aligned} alpha^{1}_{t} & = 0 alpha^{2}_{t} & = {e^{-1}over left(e^{-1}-1right)^{2}} end{aligned} for all t≥0.