Sentence examples for mode contained in from inspiring English sources

From (8) and (12), the frequency f i and damping ς i of the i th oscillation mode contained in x t) are left{ begin{array}{l} f_{i} = frac{{omega_{ni} }}{2pi } hfill varsigma_{i} = - frac{{frac{{{text{d}}left( {ln left| {Wleft( {tau_{i},t} right)} right|} right)}}{{{text{d}}t}}}}{{omega_{ni} }} hfill end{array} right.

respectively, where N l is the number of Fourier modes contained in Z l and * indicates the conjugate transpose.

The optical modes contained in the memories of one user (e.g. Alice's) are propagated to the other user (Bob, in this case).

Multivariate imaging, using principal component analysis (PCA), was used to evaluate all of the vibrational modes contained in the spectral data to hone in on the specific differences between the native and modified sugarcane.

Interestingly, the Raman spectra collected in contact mode contained the inherent near-field Raman scattering induced by the metallic tip, which was absent in non-contact mode.

Since the maximum power of the fundamental MCF mode will lead to the desired laser beam profile, higher the fraction of the fundamental MCF mode power contained in the total output power contributes to higher beam quality.

"The ideas of singular things, or of modes, that do not exist must be comprehended God's infinite idea in the same way as the formal essences of singular things, or modes, are contained in God's attributes" (IIp8).

We can find the tensor-based subspace estimate only based on the r-mode subspaces contained in Û r s.

The particle size range < 0.1 μm, known as the ultrafine mode, contains the majority (in numbers) of the ambient particles and an appreciable portion of total surface area (Hinds 1999).

We also verify if the new candidate mode contains any reversible reaction occurring in both directions simultaneously.

Most Charpy specimens were fractured in the ductile fracture mode, containing small regions of brittle fractures.