Sentence examples for shown equation from inspiring English sources
As Tschumperlé and Deriche [14] have shown, Equation 24 can be viewed as a local filtering approach with oriented and normalized Gaussian kernels.
As it is shown, equations of state lead to densities with an uncertainty (AAD) more than 3%.
Mathematical induction is used for showing Equation (5.6).
Second method: To show equation (5.2) is equivalent to proving that A ( a, b ) I ( a, b ) < I ( a, b ).
Hence, below we only show equations under the log-Euclidean metric.
Equating both equations at ρ=ρ i yields a quadratic equation as shown in Equation (5).
The Pfaffl equation is shown in Equation 1.
The integral expression of Equation (5) is shown by Equation (6).
This was determined using the Fishers z ˙ -transformation and permutation test as shown in Equation 2 and Equation 6 respectively.
The equation for the spherical model of the semivariogram [ 28] is shown in Equation 1 below.
We should note that the causal RR shown in equation A10 is an alternative notation of the causal RR shown in equation 1 in terms of response types (see Additional file 1: Appendix 2).
