Sentence examples for we derived that from inspiring English sources

Thus, we derived that z is a fixed point of f.

In Section 2, we derived that the modified two-dimensional Toda lattice with self-consistent sources (8), (33), (36 - 37 36 - 37s the Grammian determinant solution (25), (26), (34), (35).

The complexity overhead of each candidate compared to OFDM is illustrated by the metric r C in Fig. 12. Considering optimized implementations, we derived that FBMC and GFDM require five times more real multiplications than OFDM to transmit the same amount of data symbols.

Using the molecular kinetic theory and statistical mechanics, we derived that the driving force of the vapor flux is the gradient of the incidence rate, which is defined as the number of molecules colliding a flat wall per unit surface area per unit time.

From calculated molecular charge curves we derived that PCA acts as a buffering compound around pH 8, hence preventing a significant drop in the pH (see Supporting Information).

Based on these τ D and s values and Equations 4, 5 and 8, we derived that V G = 0.38 fl and V R = 0.67 fl.

we derive that is a fixed point of.

By (4), we derive that Φ satisfies the dummy property.

From condition (i) and (3.19), we derive that (320).

end{aligned} We derive that ϕ satisfies the α-marginality property.

By Lemma 3.1, we derive that is a unique solution of the problem (2.13).