Sentence examples for derivation shown from inspiring English sources
The material properties for the analytical model of the beam column and column base connections, respectively, are summarized in Tables 3 and 4. Following the analytical derivation shown in the previous section, the rotation semirigidity and maximum moments were computed, and the results are summarized in Tables 5 and 6, respectively.
Given that the downward transport takes place through the vascular tissue, the derivation shown above resembles a vascular cell file, for which basally-oriented polar PIN localisation has been experimentally verified [ 51, 74, 87].
The theoretical derivation shows that the early lumping preserves the full estimate error weighting matrix, and is identical to the late lumping.
The quasi-linear model based on this enhanced derivation showed improved predictive ability and hysteresis energy determination.
The standard derivation shows the average discrete degree of a group of data around the average.
However, a quick perusal of the above derivation shows that this is not really necessary.
The above derivation shows that we can use the cross spectral property to detect a time lag between the two signal as a function of t and f.
The derivation shows that w H R ˜ i + n w can achieve a minimum value if we choose the beamformer vector in Equation (20).
It should be noted that the mathematical derivation shows the steps of the algorithm when evaluating the detection probability in case of odd degrees of freedom, i.e., it is an algorithm rather than a mathematical derivation.
Theoretical derivation shows that the ratio in the first step is linearly proportional to the total hemoglobin concentrations and the double ratio in the second step is related to both total hemoglobin concentration and hemoglobin oxygenation for the chosen fiber-optic probe geometry.
Since the geometric mean inequality (1.16) is a consequence of our generalization of the inequality on the left in (1.6), this derivation shows how the geometric means construction 'bridges' the pair of inequalities (1.6).
