Sentence examples for via the relations from inspiring English sources

In fact, these expressions depend, through the functions (mathcal {I}_{N}^{s}(A,B)), on the two scalar Lagrange multipliers A and B, which are related to n and ({vert{ mathbf {u}} vert}) via the relations (37).

Since (3) is a rearranged version of (1), the corresponding quantities are linked via the relations X = X R + 1 T, A = A R + 1 T, and W = W R + 1 T, respectively.

The noise factor is related to the noise figure via the relation NF LNA=10 LNA10F LNA.

The length change is directly related to the defect volume via the relation 3 × Δ l / l 0 = Δ V / V 0, assuming an isotropic distribution and annealing of defects [12].

Fortunately, earlier we have derived the exact form of the solutions x ( n ) of (2.1) with λ = 0 via the relation (3.6).

The IMR is an implicit method that generates a sequence ({y_{n}}) via the relation frac{1}{h} y_{n+1}-y_{n})=f biggl(frac{y_{n+1} y_{n+1}-y_{n}gr).

This permits to deduce the susceptibility χ, which is correlated to σ via the relation: 1 + 4 π χ = 1 + 4 π i σ ω (5).

In TOF-PET, the distance to the origin of scanner (Δ x) is proportional to the TOF difference via the relation: Δ t: (Delta x = frac {c Delta t}{2}), where c is the speed of light.

Therefore, to characterize the dimensional nature of a light field more quantitatively, we introduce the spectral polarimetric dimension, D r,ω), via the relation D mathbf{r},omega)=3-2d(mathbf{r},omega), (7).

Moreover, via the relation with higher-level linguistic events, a few of which have been only indicatively presented, the ESC detections could further assist analysis or assistive consistency tests of existing labels.

The charge carrier concentration was determined via the relation n = −1/R He− from the Hall coefficient R H. A representative Rietveld refinement of the XRD pattern for n-type Bi2Te2.4Se0.6 (Fig. 1a) shows a Bi2Te3-type structure, defined in the space group R-3m.