Sentence examples for validity of equation from inspiring English sources

We only need to show the validity of Equation 1a as the validity of Equation 1b follows directly from it.

The validity of Equation 1 has been observed over a wide range of scales.

To prove the validity of Equation 1a for case (i), we apply Lemma 1 to obtain (7).

The results show that a good match exists between the theoretical and experimental data, and therefore, the validity of Equation 8 is established.

Therefore, it is interesting to explore if it is possible to tune the direct I-QH transition within the same system so as to study the validity of Equation 5.

In the conditions of Figure 4a, the values of spread parameter σ are the highest, which draws us away from the best conditions for the validity of Equation 29.

By comparing the graphs of analytical analysis and simulation analysis, validity of equations was proved.

The validity of Equations (30) to (32) is shown in Figures 2 and 3.

Hassanizadeh and Gray (1990) confirmed the validity of equations proposed by Stauffer (1978).

The validity of equations (6), (7), and (10) is confirmed by comparing the estimated value with the experimental one.

Now the validity of Equations 1 and 4 for truncated icosahedrons [30] and icosahedrons [30, 31] gold nanoparticles are investigated.