Sentence examples for achieved approximation from inspiring English sources

We use simulations to evaluate the proposed algorithms in terms of the achieved approximation ratio and computational complexity on hierarchical cache network topologies as a model of mobile backhaul networks.

Hence, for our envisioned use case of FD-MIMO systems with large N t and (left |mathcal {S}right |), the achieved approximation performance might not be satisfactory.

The general goal of the issue of moderately exponential approximation is to catch up on polynomial inapproximability by designing superpolynomial algorithms achieving approximation ratios unachievable in polynomial time.

Therefore, Algorithm 2 achieves approximation ratio of (frac{1}{c |D^+_I| mu _{max }} 1-frac{1}{e})) under the sub-additive assumption.

This problem was shown to be NP-complete and achieving approximation ratios is no easier than computing optimal solutions.

Modern analyzers display the frequency-modulated signals visually by means of a cathode-ray tube, and digital or analog computer principles are used to carry out the Fourier analysis automatically, thereby achieving approximations of great accuracy.

However, because of the fractional delay operator z−α the proposed fractional Euler transform cannot be exactly implemented; only a limited implementation by means of infinite impulse response (IIR) digital filter can be achieved using approximation techniques.

Kaplan et al. [12] proposed an approximation algorithm that achieves an approximation guarantee of 2/3.

An O(n3 -time polyn3 -timepolynomialon approximationt algorithman approximathat rachieves8/13 han been developed [3].

After an inviscid expansion is achieved, successive approximations that use viscous correction multipliers are employed to derive the vorticity in a manner to satisfy the existing boundary conditions.

We achieved accurate approximations by using only a few numbers of iterations, which reveals efficiency of the new method.