Sentence examples for instead of the projection from inspiring English sources

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Instead of the projection operator ( {P}_{S_left(bullet right) ) in (4), they utilize ( {P}_{{mathrm{S}}_^{left varepsilon right)}left(bullet right) ) defined as {P}_{{mathrm{S}}_^{varepsilon}left(bullet right)={left[{mathbf{F}}_s^{-1}{T}_{varepsilon}left({mathbf{F}}_sleft(bullet right)right)right]}_ (5 with + = max{Re, 0}.

Similar(59)

Here he uses the subgradient projections instead of the orthogonal projections.

In our discussion, instead of the metric projection, we make use of the mapping R C. Finally, we prove two results concerning Proposition 2.4 and the mapping R C. The first one is the usual analogue of a characterization of the metric projection in a Hilbert space.

They've been standing up, instead, after the projection of a supersize photo on the backdrop of the stage.

Because of the world economic crisis, whose effects started to influence the Serbian economy in 2009, we included a 'pessimistic' scenario of GDP contraction (that is, GDP 95% LCL) instead of the GDP central projections.

To overcome this problem, in this study we included a 'pessimistic' scenario of GDP contraction instead of the GDP central projections since the GDP growth rate in Serbia fell from 5.5% in 2008 to −3.0% in 2009 and to 1.8% - 2.0% growth in 2010 [ 39].

Therefore we cannot exclude that (some of) the effects involve indirect effects via intermediate neurons in the subPVN instead of direct projections to the pre-autonomic neurons.

The relaxed projection scheme uses orthogonal projections onto half-spaces instead of projections onto the original closed convex sets.

Some non-dinosaurian archosaurs, including rauisuchians, also had erect limbs but achieved this by a "pillar erect" configuration of the hip joint, where instead of having a projection from the femur insert on a socket on the hip, the upper pelvic bone was rotated to form an overhanging shelf.

We have also employed Principal Component Analysis (PCA) instead of Random Projection (RP) in Algorithm 2. The result is very interesting and intuitive.

In comparison with the CQ algorithm, the relaxed CQ algorithm used orthogonal projections onto half-spaces instead of projections onto the original convex sets.

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