Sentence examples for be shown that given from inspiring English sources

It can be shown that given in Equation 6 is monotonically increasing in.

eIt can be shown that given a fronto-parallel depth plane, the inner product of vγk· nγkis equal to vΓk· nΓk.

Given an optimal set W of vertex-disjoint cliques of R S, it leads to an optimal refinement H. Unfortunately, it can be shown that, given an arbitrary graph with two edge colours AD and S, finding if there exists a set W yielding a given number of connected components is an NP-hard problem (proof not shown).

It can be shown that, given h and λ, the RKHS regression solutions satisfy the linear system: [ 1 ′ R − 1 1 1 ′ R − 1 K h K ′ h R − 1 1 K ′ h R − 1 K h + 1 λ − 1 K h ] [ 1 ′ R − 1 y K ′ h R − 1 y ].

Based on the information theory, it is shown that given a fixed number of sensors, the volume of information is the same for optimal (skewed or orthogonal) configurations.

It is shown that given any continuous distribution, conditional probabilities of events can be approximated arbitrarily close to the true probability.

It is shown that given the current state of Markov chain, the state estimation problem for JMLS reduces to Kalman filtering, which allows for a closed-form solution.

It is shown that, given the economic and technical assumptions made, a CHP-plant of 4 MW-el with a thermal store participating in the spot market will be the most feasible plant to build.

Moreover, it is shown that given an initial hydrogen mass of 90 g, a constant riding speed of 40 km h−1, and a rider weight of 60 kg, the maximum travel range reduces from 47 km to 5 km as the slope inclination angle is increased from 0° to 40°.

Moreover, it has been shown that, given low copy numbers and short life-spans of typical signalling proteins in crowded eukaryotic cells, it is imperative that binding partners in signalling cascades be colocalized in order to relay meaningful signals on reasonable time scales [8], [9].

It has also been shown that given a symptom, a diagnosis and information about that diagnosis brings relief to the patient [ 43].