Sentence examples for respectively equivalent from inspiring English sources

Similarly, we can establish also some new inequalities which are, respectively, equivalent to inequalities (2.16), (2.17), and (2.18).

In particular, under certain conditions, equilibrium problem, constrained convex minimization problem and split feasibility problem are, respectively, equivalent to a variational inequality problem.

Four pressures were applied to the concrete barrier models (2.3, 3.2, 4.5, and 5.8 MPa), which are respectively equivalent to four operational speeds of the vehicles (50, 70, 100, and 130 km/h).

We also analyze that the involved subproblems under the Frobenius norm are respectively equivalent to the structured least-squares problem and low rank least-squares problem, where the explicit solutions to some special cases are derived.

Case 2: We set anisotropies of dVp = 0 % and dVs = −4 %, which are respectively equivalent to B = 0 % and E = −4 % introduced by Park and Yu (1992) to the top layer of the model space with hexagonal symmetry (Fig. 8a).

In fact, we can show that (31), (32) and (33) are respectively equivalent to (5), (26) and (27), and then it follows that (31), (32) and (33) are equivalent with the same best constant factor B ( λ r, λ s ).

There are just too many Islambouli and Amir (assassins of Anwar Sadat and Yitzhak Rabin, respectively) equivalents lurking -- e.g., Grover Norquist, the Koch Boys, Freedomworks -- who are prepared to assassinate politically those who stray from party orthodoxy on taxes.

Trolox equivalents calculated for the final time point (i.e., 5 min) were 0.55 ± 0.05 mM and 0.53 ± 0.06 mM for air- and MCS-exposed males, respectively; equivalents for air- and MCS-exposed female offspring were 0.64 ± 0.08 mM and 0.70 ± 0.04 mM, respectively.

L T and L Tm are respectively the equivalent leakage inductance and magnetic inductance of the series transformer.

They range from 360 to 45 FUs which represents, respectively, an equivalent occupied area of 21.2 and 7.7 mm2.

One can observe from (24) and (25) that B1and B2 capture, respectively, the equivalent SNR in the direct link and in the relaying link with imperfect channel gains.