Sentence examples for method under proper from inspiring English sources

Example 1 The existence of solutions of the equation x ( t ) = g ( t, x ( t ) ) + λ ∫ Ω k ( t, s ) f ( s, x ( s ) ) d s. has been investigated in [13] by this method under proper assumptions.

Thus, the elections provided by the Act are not available to a person who, for his most recent taxable year ending on or before June 22 , 1959 reported dealer reserve income under a method proper under the accrual method of accounting or who was not required to compute taxable income under the accrual method of accounting.

By using the Nehari manifold and fibering map methods, multiple positive solutions were obtained under proper assumptions.

With these methods, ordered patterns of pits are designed with high precision and, under proper growth conditions [14, 25], lead to almost perfect lateral ordering.

We prove that, under proper assumptions, this significantly improves the convergence rate of the initial iterative method.

Under proper conditions on V, f, g, and K, the existence result is obtained by using variational methods.

The NSA was not under proper control.

Many cnidarians display vivid fluorescence under proper lighting conditions.

Moreover, thermal efficiency could exceed 40% under proper operating conditions.

2009".Generalized finite element method using proper orthogonal decomposition".International Journal for Numerical Methods in Engineering79 7): 887-906.

That must now be done under proper UN authorisation.