Sentence examples for further derived the from inspiring English sources

By exploiting the characteristics of shift-invariance, steerability, and scalability, we further derived the theoretical synchronization mechanisms for translation, rotation, and scaling.

We further derived the variational approximation to the marginal posterior of sources, s j, which turns out to be a multivariate Gaussian distribution.

We further derived the surface area density from those three aerosol parameters and compared our results with data retrieved from in situ measurements.

Based on this fact, we further derive the following result.

To further derive the above formula, we consider the following matrix inversion lemma [14].

We further derive the approximate closed-form expressions of ergodic capacity.

We further derive the estimated number of transmissions required for worst case network performance.

We further derive the decay rate of the energy function for problem (1.1) by Nakao's method [18].

With the help of several key lemmas, we further derive the global asymptotic stability of positive equilibrium of (1.1).

Based on the dual-layer approach, we further derive the explicit solutions for a triple-layer electrode.

In this section, we further derive the carrier density of AGRNs directly from the density of states (DOS) and Fermi-Dirac distribution in the energy space.