Sentence examples for operation with respect to the from inspiring English sources

The application used as a complex operation with respect to the real and imaginary numbers together.

This is the nub of the reasoning: The Court held that, in their operation with respect to the challenged funding agreement and the challenged payments made under that agreement, none of the challenged provisions is a valid law of the Commonwealth.

"The court held that, in their operation with respect to the challenged funding agreement and the challenged payments made under that agreement, none of the challenged provisions is a valid law of the commonwealth," the high court said in a judgment summary.

Taking the iterative operation with respect to the time instant k, the following inequality is derived: E { V ( k ) | ξ 0 } < θ k V ( 0 ) + ∑ i = 1 k θ k − i + 1 ω j − 1 T P 2 ω j − 1 < θ N ( λ max ( P ˜ 1 ) c 1 2 + λ max ( P 2 ) d 2 ).

The modern technology of the equipment allows optimisation of the operations with respect to the operating conditions.

Then we evaluate the competing update operations with respect to the postulates proposed by Katsuno and Mendelzon.

Here, an implicit OBDD-based maximal matching algorithm is presented that uses only a polylogarithmic number of functional operations with respect to the number of vertices of the input graph.

It is also shown that, the unforced (14.55% increase in ethanol average concentration relative to the steady state operation) or forced (8.87% increase in ethanol average concentration relative to the steady state operation) unsteady state operations give better fermentor performance than the steady state operations with respect to the average ethanol concentration and yield.

It is also observed on 10×10 instances that some optimized matrices lead to designs with a smaller number of adder-steps but with a larger number of operations with respect to the designs found based on the original matrix.

We classified the operations with respect to the ordinal number into 5 classes: group A (operations with order number 1 15), group B (16 30), group C (31 50), group D (51 100), and group E (over 100).

Therefore, to understand how a HEMS may benefit patients from primary scene responses in NSW, a fundamental step is to provide an understanding of HEMS operations with respect to the key time performance indicators, the proximity of operations to the destination hospital and the types of the patients attended.