Sentence examples for function of the trace from inspiring English sources

Moreover, σ X k j 2 is the additional noise variance and is a function of the trace of error covariance matrix ( trace ( P k j ) ), which is indicated in more details in [12].

This is shown in Figure 4, which presents a scatter plot of the frequency of tracking interruptions (Y axis) as a function of the tracing directional error (X axis).

We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the trace of the heat semigroup.

If, in particular, H is a Schrödinger-type operator and U a real-valued function, then the gradient of the trace functional is the quantum mechanical expression of the particle density with respect to an equilibrium distribution function f="−F′.

Two types of incompressible hyperelastic material models are considered: neo-Hookean and a class of materials whose elastic energy density functions are independent of the trace of the Cauchy Green tensor (I2-based material).

Moreover, since for all, the function, the trace of on the boundary of belongs to.

In panel A, the average single step translocations (Δt = 10.5 ms) plotted as a function of the length of the trace for 'free' Dendra2.

According to Lopez, monitoring contact persons and getting them to treatment centers as soon as they start showing symptoms is the most important function of contact tracing and the key way to break the infection chain.

Sufficient conditions for the existence of extremal functions in the trace Sobolev inequality and the trace Sobolev Poincaré inequality are established.

The effect of a delay in each tracing step was studied by determining the critical tracing probability pc * for R 0 pre  = 1.5, as a function of the latent period and tracing delay.

Trends of ε143Nd(t) as a function of incompatible trace element ratios reveal that the Anshan source consists of high- and low-μ142Nd end-members.