Sentence examples for a restricted variation from inspiring English sources

Considering L q [ f ( t, u n ) ] as a restricted variation so that after taking the classical variational derivative to both sides of (56), we can obtain δ L q [ u n + 1 ] = δ L q [ u n ] + a ¯ ( s ) s α ( 1 − q ) α − 1 δ L q [ u n ], (57).

The subscript denotes the th approximation, and is considered as a restricted variation [1 4], that is,.

where the function u ˜ n ( x, t ) is considered as a restricted variation function, i.e., δ u ˜ n ( x, t ) = 0.

where λ is a Lagrangian multiplier and u ˜ ( x, t ) is considered as a restricted variation function, i.e., δ u ˜ ( x, t ) = 0. Extremizing the variation of the correction functional (2) leads to the Lagrangian multiplier λ.

The subscript n denotes the nth order approximation, whereas (tilde{u}_{n} x,t)) is considered as a restricted variation [45 47], i.e., (deltatilde{u}_{n} x,t) = 0).

where is a Lagrange multiplier which can be identified optimally via variational theory, is the th approximate solution, and denotes a restricted variation; that is,.

This effect is likely reflected in our observations of restricted variation in AMY2B copy numbers in PON, whereas Beagles display a much wider copy number range.

where is the Lagrange multiplier and denotes restricted variation that is.

Employing the restricted variation in (2.2) makes it easy to compute the Lagrange multiplier; see [22, 23].

However, Beijing strains exhibit restricted variation in RFLP patterns.

Since the restricted variation of the 3-partition problem is strongly NP-complete, we may encode the integers in unary so that the size of the input instance is Θ nB).