Sentence examples for by the trace from inspiring English sources

The optimization can be rewritten by the trace form.

Furthermore, we investigate their Hamiltonian structures by the trace identity.

Finally, the image sharpness of the normalized image is determined by the trace of the first several eigenvalues.

The total magnetic field (B t ) power spectra is obtained by the trace of the cross spectral density matrix.

And the jump on boundary faces is simply given by the trace of the function on each face.

The error probability is determined by the trace norm (Vert [-alpha _{0}]-rho (v) Vert _{1}) [cf. Eq. (31)].

Many complex trace fossils appear to have been occupied for long intervals and to record re-engineering or active control of proximal habitats by the trace-producing organisms.

On the other hand, we can clearly see the improvements for PFS brought by the trace-based propagation model, especially in the retransmissions (Figure 8b).

Moreover, our proposed framework uses only 3% of the data storage required by the traces.

I was captivated not only by the destructive power of the fire but also by the traces left behind by the smoke, the result of a controlled accident".

By introducing the trace (2.7).