Sentence examples for be applied to equation from inspiring English sources

Thus, Theorems A, B, and C all cannot be applied to Equation 10.

For this case, the main results of [18, 19] cannot be applied to equation (3.18).

Observe that the results reported in [7, 20] cannot be applied to equation (3.25) since (g(t)>t).

Although any combination of weights can be applied to Equation 1, not all such combinations are actually logical or preferred.

However, since equation (1.4) is anisotropic and with the variable exponents, the method of [6] seems difficult to be applied to equation (1.4).

Remark 1.1 As a discrete analogue of Euler-Cauchy differential equation (1.4), the linear difference equation Δ 2 x ( n ) + λ n ( n + 1 ) x ( n + 1 ) = 0 (1.9). is often considered instead of (1.3) (for example, see [4, 6, 7]), because Sturm's separation and comparison theorems can be applied to equation (1.9).

The same principle can be applied to equations (4).

So the methods of QFT could be applied to equations resulting from the quantum mechanical (field like) treatment of particles like the electron (e.g., Dirac equation).

The results presented here have been successfully applied to some special classes of Eq. (1), see [16, 17] and can be applied to equations considered in [18 22].

Moreover, they can be applied to equations for which the results obtained in some of the above mentioned papers could not be used (see Examples 1-3).

If Equation 10 is applied to Equation 11, Equation 12 can be derived.