Sentence examples for explicitly derive from inspiring English sources

We first use mathematical derivations to explicitly derive the relationship between the c-statistic and the outcome odds ratio and the variance of the continuous explanatory variable under the assumption that the continuous explanatory variable follows a normal distribution in subjects with and without the outcome.

Here we will explicitly derive the OU process from the population process given in Sect.

We explicitly derive the target steering vector corresponding to the worst-case SINR and solve the robust design of WCM via convex optimization.

We use these conditions to explicitly derive integrable equations with four-dimensional characteristic x-rings and two-dimensional characteristic n-rings.

We explicitly derive schemes for the linear fourth order diffusion, the Cahn Hilliard equation for phase transition in a binary alloy, and surface tension driven flows on complex geometries.

Here, we explicitly derive this effective Hamiltonian from the full circuit model of a λ / 4 - transmission line resonator, which is terminated by a SQUID loop at the short-circuited end and coupled capacitively to a transmission line, see Figure 1(a).

With chiming Fender Rhodes piano and deep-current pulse, it was explicitly derived from Jamaican dub music, tuned into notions of tracelike repetition.

She went on to explain that "the Harvard Law School faculty included numerous self-described proponents of 'critical legal studies' — a school of thought explicitly derived from Marxism — and they far outnumbered Republicans".

The dependence of the results on this function and the lattice dimension are explicitly derived.

The detection of S0 using the above matrices notation was explicitly derived in[16].

The basic uncertainty inequalities for this group are then explicitly derived.