Sentence examples for observed equations from inspiring English sources

Agreement between the predicted and observed equations improved as m decreased (details are shown in Table 3).

Observing Equations (4) and (5) the following lemmas can be enunciated.

Observing Equations 29 and 36, the beamspace manifolds for omni-directional elements and directional elements have the same expansion form with different components of g.

Observing Equation (23), we have S ob  = A0S0.

This paper presents a new online SMC smoother for partially observed differential equations.

It is observed from Equations 4 and 5 that the activation energy of the dc conductivity is E σ = E c + E H.

This limits the applicability of the LL method since there is a number of interesting dynamics observed in equations with multiplicative noise.

It can be observed from Equations 60 and 61 that the diversity gain of the considered UCR-OR systems is determined by the number of relays, i.e., G d  = K + 1.

In contrast, the two mechanisms proposed in Scheme 6 (via intermediates B and C, respectively) are in agreement with the results observed in Equations (1)–(4) and Scheme 5.

Use of different equation forms for different components (unless special procedures are observed during equation development [22]) also contributes to the nonadditivity of component equations [31].

Use of different equation forms for different components (unless special procedures are observed during equation development [ 22]) also contributes to the nonadditivity of component equations [ 31].