Sentence examples for using the norm of from inspiring English sources

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Recently, in [22], by using the norm of Hardy spaces (H^{p}), Chen and Zhong introduced the modulation Hardy spaces (M^{p,q}) for (0< pleq1) and (0< qleqinfty).

Theorem 3: For a selective fading MIMO BC with n t ≥ Kn r, the total spatial multiplexing gain of Kn r can be achieved using the above partitioned vector quantization scheme if The direction of each vector is quantized using The norm of each vector is quantized using.

Then again from the contraction condition (1) we have begin{aligned} 0_{mathbb{A}} preceq d x,y) = d(Tx,Ty) preceq a^ d x,y) a. end{aligned} Using the norm of (mathbb{A}), we have begin{aligned} 0lebigl| d x,y bigr| lebigl| a^ d x,y) abigr| lebigl| a^bigr| bigl| d x,y bigr| |a| =|a| ^{2} bigl| d x,y bigr|.

When using the norm of +/- 2 weeks, the mean overlap for ILI-countries rose to 84% (median 86%; range 50%1000%) and rose to 85% (median 86%; range 71%1000%) for countries using ARI as case definition.

When using the norm of +/- 1 week, the mean total overlap of sentinel clinical and virological data was 72% (median 71%; range 25%100%%) for countries using ILI as case definition, and 71% (median 73%; range 57%–83%) for countries using ARI as case definition.

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IGF1 SDS were calculated using the norms of Alberti et al. in French children [ 72].

We first present a credit evolution model to quantify the expected credit variation of each node in WMN, then use the norm of the expected credits variation to quantify the credit disparity.

We give stability criteria by establishing the desired inequalities via using the norm estimation of the delayed matrix cosine and sine of polynomial degree.

We investigate norms of corruption using the norm-elicitation procedure introduced by Krupka and Weber (2013).

2. We used the norm duration of the GDx and HFA as used by the financial department, instead of the duration of the GDx and HFA measured in our study.

The gain adaptation is implemented as the output of a stable filter using the squared norm of the measured output estimation error and the mismatch between each estimate and its saturated value.

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