Sentence examples for expression of the average from inspiring English sources

By using this lemma and the results of [5], we can express the final expression of the average BER for the considered asynchronous and nonlinear FBMC-based multi-cellular network as follows: {begin{aligned} text{BER}_{Av}&= frac{3}{4}-frac{3}{4sqrt{pi}} intlimits_{0}^{infty} frac{e^{-z(1+5b)}}{sqrt{z}} prod_{k=1}^{K} left| I_{L_{k}} left(1+ fra_{d a_{d} varepsilon_{k})}{SNR_{eta_{k}}} right)right.

Also an expression of the average growth of slip per loading cycle was empirically derived and recommended for design purposes.

For the case P S (x)=α exp(−β x), we use the expression of the average SER in (11).

To summarize, all the expressions involved in the final expression of the average BER in (8) can be calculated analytically.

The expression of the average BER being a sum of powers of ρ, the limit for high SNR values is the term with the highest power.

With the closed-form expression of the average BER, the above optimization problems can be solved by optimization techniques such as the Lagrange method [27].

Therefore, a mathematical expression of the averaged Eshelby's tensor for a rectangular shape is obtained for the Graphene sheet.

An ordered list of all genes was generated using the Pearson correlation to the expression pattern of the average expression pattern of OXPHOS genes (the median of the expression patterns of OXPHOS genes that clustered in the hierarchical gene tree).

Approximate closed-form expressions of the average channel capacity will also be derived.

The analytical expressions of the average intensity at any receiver plane are derived based on the extended Huygens-Fresnel principle.

For the Moran process and the Wright-Fisher process, we calculate the precise expressions of the average offer and the average demand under weak selection.