Levi and Scimiterna in [4] show that the complex Burgers and the Kundu-Eckhaus equations are related by a Miura transformation, and they use this relation to discretize the Kundu-Eckhaus equation.
We use this relation to link the inhomogeneous to the homogeneous spike count via (32).
The derivation consists of developing a 'bridging relation' between concentrations of reactants and using this relation to obtain an explicit approximate expression for the enhancement factor.
Using this relation to transfer the (mathrm {ad}(X -action from (widetilde{e}_{i_k}) to (e_{i_k},), and reading the formula (2.2) backwards, one obtains begin{aligned}[I_ell,,,X -actionidetilde{e}_{i_1}cdots,widetilde{e}_{ i_{2ell }}, mathrm {STr},([X,e_{i_{2ell }}cdots, e_{i_1}]).
We will first define a meaningful notion of similarity in this space and then use this relation to explore the space.
We quantify the empirical relationship between per-capita energy use and growth rate and use this relation to assess how future energy scenarios may affect the size of the human population through mid-century.
The basic principle of invasive BMI applications is to relate neural activity, such as extra-cellular potentials from cortical neurons, to movement parameters such as direction [8], velocity [9], and position [1], and use this relation to control an external device.
Use this relation to calculate it.
We used this relation in order to estimate the precision of projections from individual injections as well as to model the consistency of the sparse connections.
