Sentence examples for update expression from inspiring English sources

Then, according to Eqs. (5) and (6), the pheromone concentration update expression is concluded as follows: {tau}_{mi}={tau}_{mi}(t)+varDelta {tau}_{mi}={frac{Q}{d_{mi}}}^{ast}frac{E_m}{E_{mathrm{init}}}+{beta}^{ast}frac{e_i}{e_{mathrm{init}}} (7).

Substituting the filter error weight vector into the filter update expression of (27) yields a recursive expression for the receive filter error weight vector described by begin{aligned} boldsymbol{varepsilon}[!i]=&boldsymbol{varepsilon}[!i-1] &+left[mathbf{I}+mumathbf{r}[!i]b[!i-1]mathbf{r}^{H}[!i-1]b^{ast}[!i] -mumathbf{r}[!i]b[!i-1]right.&left.quad; mathbf{r}^{H}[!n]b^{ast}[!i-1]right.

The three power update expressions (13 15) form the mathematical basis of ELCI.

"It's an updated expression of an Art Deco form".

Comparison of the updated expression measures of the slightly diverging probe sets shown in Figure 8 after verification leaves the small systematic biases essentially unchanged (data not shown).

As the mapping reference is improved we will re-map and re-process each dataset to generate updated expression sets using new versions of the reference, reducing the incidence and impact of such bias.

We use the set of expressions found in Bailey and Balan (1996), which are the most updated expressions available in the literature as far as we know, since they are used in the SUPIM model (Bailey et al. 1997).

The first scheme iteratively detects data and estimates the channel and noise variance simultaneously for all antennas, and moreover, the updating expressions of these estimates are all derived as closed-form results.

Similarly, to the TWRC model in (4), the residual LI will be represented by a K factor, with K<1, as considered in [33], i.e., a lower K value represents a larger reduction of the self-interference, yielding the following updated expressions: begin{array}{*{20}l} mathbf{y}(n) &= mathbf{H}(n mathbf{x}(n) + mathbf{n}(n) + K mathbf{H}_{LI}(n)hat{mathbf{x}} n-1) end{array} n-1).

As conventional algorithm, the optimization of this objective function under the same conditions, yields the following updated expressions for the membership matrix and the vector with the centers of the groups: u ij = 1 ∑ k = 1 c ρ j ∥ x i − c j ∥ 2 ρ j ∥ x i − c k ∥ 2 1 m − 1 (9) ∑ i = 1 n u ij m w ij ∂ ∥ x i − c j ∥ 2 ∂ c i = 0, where w ij = ∂ ρ j ∥ x i − c j ∥ 2 ∂ ∥ x i − c j ∥ 2 (10).

The expressions are derived using the Sherman Morrison update formula that gives the exact expression of the disturbed response for any magnitude of the disturbance.