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The finite element approach allows us to formulate scalable image derivative operators that can be implemented using a combination of piecewise-polynomial and Gaussian basis functions.

The algorithm is implemented using a combination of embedded software and dedicated hardware units on a heterogeneous reconfigurable system-on-a-chip.

Using well-known quantum gate decompositions45,46, we first decomposed the controlled-unitary operations in Fig. 1b,c into single-qubit rotations and controlled-NOT gates (Supplementary Fig. S1), where the elementary gates can be implemented using a combination of radio-frequency (RF) pulses and evolutions under the spin spin J-couplings (for example, see refs 36,37).

It is generally believed that cost effective systems for estimating and monitoring deforestation and changes in carbon stocks can be designed and implemented using a combination of remote sensing assessments and ground based measurements [1].

The top half was implemented using a combination of computer-generated imagery (CGI) and a scale model created by Cinesite.

The programs to extract the core dictionaries (Steps 4 7), to construct the semantic map (as described above), and to analyze the results, were custom implemented using a combination of GNU C (GCC 4.2) and Matlab along with their standard libraries and functions (all code is available upon request).

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Based on the simulation results, a combination of feedback and repetitive control is implemented, using a force and acceleration measurement.

In the CUDA version all possible kernel combinations are implemented using a single file with templates.

The basic QuadPod instrument design described here can be implemented using any combination of optical filters in order to calculate other spectral vegetation indices.

Hence, this paper implements the method using a combination of numerical analysis to model the stiff beam and analytical impedances to model the flexible plate.

All procedures were implemented on a Linux workstation using a combination of Perl scripts interacting with the specified INCLUSIVE programs for motif analysis (MotifSampler, MotifSearch, MotifRanking) [ 17].

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