The gradient of Jav MLP with respect to B (omitting constant parameters for brevity) is calculated as: ∂ J av MLP ( B ) ∂B = ∑ k = 1 T ∂ ℳ MLP ( Y e τ ( k ) ) ∂B = ∑ k = 1 T ∂ ℳ MLP ( Y e τ ( k ) ) ∂ Y e τ ( k ) ∂ Y e τ ( k ) ∂B (11).
From the waves in equations (14 a) –(14 d), the intensity of the diffracted image from the bicrystal is calculated as follows (for brevity, only the intensity of the diffracted-wave image is shown): with In this calculation, variables and constants u, U etc. in the amplitude parts are approximated by their real parts, and those in the phase parts are exactly calculated as complex quantities.
Otherwise, Columns M and N have been omitted from this article for the sake of brevity; they calculated Total Spirallic Distance and Actual Radius.
Moreover, The integrals in (A.3), (A.4) and (A.5) can be calculated analytically, we omit here for brevity.
The version 2 of SF-12 is a useful tool with the advantages of its brevity versus SF-36 and the possibility of calculating the 8 original dimensions versus the version 1 [ 16, 17].
The brevity of texting, or textese, which calls for a carefully calculated language of emotionless evasion, sidesteps confrontation.
For lack of brevity, in Fig. 2, we show the percentage of net discrimination calculated.
For brevity, the following acronyms are used: GD, Genotypic difference at a single time-point calculated as log2 FPKM ratio of Benning genotype to PI 416937.
Similarly, we can calculate the desired received signal, and interfering received signal at the PU, which is omitted for brevity.
