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In a way, she's flipped the "Matrix" formula on its head: the movie leaned on philosophy to make its generic story seem more cerebral, while Thomas uses genre to jazz up what's essentially a novel of ideas.
The other estimator is given by a simple matrix formula and does not need any prior SD-traffic matrices.
The one-half fraction from the matrix formula is there to remove the double counting of pairs.
The rank-1 matrix formula allows for re-arranging terms in multi-product forms involving vectors and matrices.
Now, let us take a close look at the overall compliance matrix formula of each flexure mechanism when a force f x is imposed on the mobile platform.
The right side of Equation 7 is the matrix formula which iterates through an adjacency matrix and increments the same way.
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Some useful matrix formulae are recalled in Appendix 1.
The formulas (52) and (54) are analogues of the matrix formulas of (21) and (29).
The coefficient formulae and the coefficient matrix formulae developed in this paper express non-uniform B-spline functions of arbitrary degree in explicit polynomial and matrix forms.
From here, Bell's Assumption A provides MMSE optimality for finite-sample component estimates from the matrix formulas of McElroy (2008), for bi-infinite data estimates from pseudo-spectral W-K formulas, and for semi-infinite data estimates like those considered in Bell and Martin (2004).
By means of several transformations one establishes matrix formulae based on equations of radiative exchanges containing variables defined in a discrete analog form, and further on, by means of a multidisciplinary approach, the solutions are organized in algorithms that use the theory of networks, graphs and electric circuits.
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