Sentence examples for following projections from inspiring English sources

Exact(7)

In order to achieve this goal, we introduce the following projections at first: We define (R_{h}vinmathcal{Q}_{0}(Omega_{ij})) to be the piecewise constant interpolation for any (vin C overline{Omega}_{ij})), i.e. R_{h}v x,y)=v(x_{i-frac{1}{2}},y_{j-frac{1}{2}}).

Similarly, applying the MPG assumptions which projects annual increases in MPG of 0.63% and 1.13% for Honda Civics' gasoline and hybrid version in the next 14 years, we obtain the following projections, reflected on Table 5 below, on absolute increases in MPG.

WASHINGTON -- Supporters of President Obama converged on Pennsylvania Avenue outside the White House late Tuesday night following projections that showed the 44th commander in chief winning a second term.

For quantification of Wg levels, following projections of Z-stacks for each wing disc, regions of interest (ROIs) were marked inside the clone and ROIs of the same dimensions were marked on the neighbouring WT tissue.

25 The following projections will be examined with USD: metacarpophalangeal joint 2 4, wrist central, radial, ulnar and m. extensor carpi ulnaris tendon, elbow posterior, knee supra-patellar, lateral and medial, ankle central, medial and lateral, tarsometatarsal central, medial and lateral, metatarsophalangeal joint 2 4, m. tibialis posterior tendon, m. peroneus longus and brevis tendons.

From this decomposition we can get the following projections: begin{aligned}& P_{a}: L^{p(x)}(Omega,mathrm{C}ell_{n}) rightarrow Boperatorname {ker}widetilde{D}cap L^{p(x)}(Omega, mathrm{C}ell_{n}), & Q_{a}: L^{p(x)}(Omega,mathrm{C}ell_{n}) rightarrow DW^{1,p(x)}_{0}(Omega,mathrm{C}ell_{n}).

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Similar(53)

Recently, Chuang and Du [15] proposed the following projection algorithm (which is called the hybrid projected Landweber algorithm).

The detail on the proposed image predictor is addressed as follows: 1) For a given 2-D image I in size R×C, use the following projection into the 1-D form: left{ begin{array}{l} y_{ i-1 cdot R +j}=I(i,j) N = Rtimes C, end{array_{ i-1 cdot

The configurations of the individual molecules of these two substances have been shown to be mirror images of one another, as represented by the following projection formulas: The two acids have identical melting points, densities, and solubilities in optically inactive solvents and the same rates of reactions with optically inactive reagents.

Differentiating (19a - 19c 19a - 19cpect to time variable t, withan also obtain the following prespecton estomatime

Assuming consistency of the MSSFP (1.10), Censor et al. [15] introduced the following projection algorithm: (1.11).

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