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Stochastic wind velocity simulation based on the spectral representation method often requires considerable computation time due to the repetitive Cholesky decomposition of the power spectral density matrix.
While the finite difference method often requires a large number of nodes to achieve convergence, the state space method requires relatively fewer sub-layers for continuously graded layers.
The simulation of such complex structural systems with the finite element method often requires the use of analysis control schemes, called continuation methods.
The simulation of non-stationary wind velocity field based on the spectral representation method often requires significant computational efforts due to the summation of trigonometric functions usually involved in the simulation procedure.
This method often requires knowledge of aptamer structures and a few trial-and-error experiments.
However, unlike CLSM, this multi-color MPM method often requires off-peak excitation of each fluorophore in order to excite all fluorophores in a given sample simultaneously, thereby decreasing the excitation efficiency and making excitation unequal over the given set of fluorophores [ 12].
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Incompressible Navier-Stokes solvers based on the projection method often require an expensive numerical solution of a Poisson equation for a pressure-like variable.
(Searching for more than one target using standard methods often requires large samples and a series of tests, but a GMR chip can do the job in a single pass with a sample as small as a single microlitre).Nanoparticles in a haystackSuch chips are extraordinarily sensitive.
By contrast, the generation of micropatterns by photolithographic methods often requires a multistep process, hazardous reagents, expensive substrates, and processing equipment.
Reliable microbial identification using conventional methods often requires several techniques, such as the use of colony morphology, gram staining, determination of nutritional requirements and/or biochemical reactions.
Standard methods of PCR analysis (delta Ct) were inappropriate for this array as evaluation of these methods often requires a good dilution curve for both standard and reference genes on every plate.
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