Sentence examples for taking the modulus of from inspiring English sources

Taking the modulus of Equation 21, we have |g|=1.

For a particular ligand position, we represented each amino acid among the set of interacting PDZ positions (Figure 5A) as a five-dimensional vector, derived by projecting a corresponding high dimensional physical-chemical property vector onto the five most significant principle components [14], and taking the modulus of the resulting values.

These were calculated by taking the modulus of the actual value minus the estimated value, dividing this by the actual value, and then multiplying by 100 ([|actual − estimated| ÷ actual ] x 100) (cf. Ehlers & Breuer, 1992).

For every time window and frequency bin, instantaneous spectral amplitude was computed by taking the modulus of the resulting CWT coefficient, squaring and adding them, and then taking the square root (i.e., for each time and frequency bin).

Following the standard approach in the literature, these were calculated by taking the modulus of the actual value minus the estimated value, dividing this by the actual value, and then multiplying by 100 ([∣actual estimated∣÷actual ] × 100) (see Ehlers & Breuer, 1992).

end{aligned} Taking the modulus on both sides of (24), we get begin{aligned} biglvert L_{n}^{alpha_{n},beta_{n}}(f;x -f(x -figrvert leq& bigglvert frac{1}{2} bigl( f'(x+)+f'(x-) bigrvertggrvert bigleq&t L_{n}^{alpha_{n},bigglvert(t-x;x) bigrvert + |I_{1}| & + |I_{2}| + bigglvert frac{1}{2} bigl( f'(x+)-f'(x-) bigr) biggrvert L_{n}^{alpha_{n},beta_{n}}bigl( vert t-x vert ;xbigr).

To further investigate the harmonic feature of the 6-year signal, we take the modulus of W g f a, b) (NMWT spectrum), i.e., |W g f a, b)| (see Fig. 4).

To do this, we isolated the negative intrinsic curvature values of each subject's cortical mesh, took the modulus of these negative values, and recombined them to the positive curvature values to make a positive distribution which reflected both positive and negative intrinsic curvature values.

The dephasing and amplitude filter-transfer functions (F_{z} (omega)) and (F_{{Omega }} omega)) are obtained by taking the modulus square respectively of the frequency-domain dephasing and amplitude control vectors (mathbf{R}^{ z)} omega)) and (mathbf{R}^{(Omega )} omega)), defined by Eq. (111) in terms of a Fourier-type transform.

Hence, we focus on the elastic modulus for <100 > orientation and take the elastic modulus of E100 into account.

The modulus of subgrade reaction of stone column is taken 6 times the modulus of subgrade reaction of the soil [3], where 6 is the ratio between (E_{gp}) and (E_{s}).