Sentence examples for continuous necessary from inspiring English sources

In the usual engineering practice, neither the distance to the exact solution is reflected, nor the compliance with the continuous necessary conditions in form of Pontryagin's Minimum Principle is checked.

Using a combination of quantitative and qualitative data from 23 cases of service exchange at six buying organisations we test whether similarity between the ideal interaction pattern and an actual, observed interaction pattern is a continuous necessary condition for successful ongoing service exchange.

However, assessing the security state is a continuous and necessary task to understand the risks there exist.

The calibration of these codes and specifications is a continuous process necessary to maintain a safe national and global infrastructure system while keeping abreast of new developments in engineering principles, and data on new materials, and applied loads.

Continuous scaling, necessary for enhanced performance and cost reduction, has pushed existing CMOS materials much closer to their intrinsic reliability limits, forcing reliability engineers to get a better understanding of circuit failure.

Let f : R → R, x → f ( x ) denote a continuous but necessary differentiable, let α ( x ) be a continuous function in ( 0, 1 ]. Then its variable-order differential in [ a, ∞ ) is defined as D 0 α ( x ) ( f ( x ) ) = 1 Γ ( 1 − α ( x ) ) ∫ 0 x ( x − t ) − α ( t ) d f ( t ) d t d t. (2.1).

Let f : R → R, x → f ( x ) denote a continuous and necessary differentiable, let α ( x ) be a continuous function in ( 0, 1 ]. Then its variational order differential in [ a, ∞ ) is defined as D 0 α ( x ) ( f ( x ) ) = 1 Γ ( 1 − α ( x ) ) ∫ 0 x ( x − t ) − α ( t ) d f ( t ) d t d t. (2.1).

Let f : R → R, x → f ( x ) denote a continuous and necessary differentiable, let α ( x ) be a continuous function in ( 0, 1 ]. Then its variation-order differential is defined as: D 0 α ( x ) ( f ( x ) ) = 1 Γ ( 1 − α ( x ) ) ∫ 0 x ( x − t ) − α ( t ) d f ( t ) d t d t. (2.1).

The actions of octreotide on hepatic and systemic hemodynamics are transient, making continuous infusion necessary.

Additional studies are needed to determine the lowest danaparoid dose for both loading and continuous infusion necessary to keep the circuit open.

Effective initial mixing to promote good enzyme distribution and continued, but not necessarily continuous, mixing is necessary in order to facilitate high biomass conversion rates.