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Except for tracing, the algorithm requires only a couple of simple operations on polynomials that can be carried out exactly if the coefficients are rational, and the determination of the real roots of several univariate polynomials.
      
This description requires only data on the parameters of interatomic interaction potentials and atomic masses.
      
With the approximate expressions proposed, the calculation of the shape of a given spectral line of a certain ion in a plasma with a given ion composition requires only a few seconds of computer time.
      
It achieves good fairness in terms of throughput, requires only O(1) time complexity to process a packet, and is simple enough to be implemented in hardware.
      
The method requires only easily available optical equipment and can be used not only by collimator manufactures but also by users of test equipment to verify performance of the collimators used for testing thermal imagers.
      
The total computation cost of signature and verification requires only 8 modular exponentiations.
      
The test is simple and requires only 6 μl of unconcentrated cerebrospinal fluid.
      
The technique of endoscope transthoracic sympathectomy is effective, relatively simple to perform and usually requires only an overnight stay.
      
A gas chromatographic procedure was established which requires only 10 μl of whole blood for the identification of more than 35 fatty acids.
      
The development requires only 10% of the amount of solvent normally used in saturated tanks.
      
The method requires only a very small amount of plasma (100 μL), and thus it is suitable for pharmacokinetic studies, as well as for therapeutic drug monitoring.
      
Sample purification requires only protein precipitation with an appropriate reagent.
      
It was designed to perform satisfactorily on devices with as little as 16 MHz processor speed, and requires only 500 KB available memory for the GIS application and all GIS data.
      
The model is not implementation specific and requires only material parameters that may be obtained from standard tests.
      
The aluminum patterning requires only several milliwatts of laser light, which allows the use of inexpensive light sources and makes it especially suitable for structuring metal films on heat-sensitive materials such as polymers.
      
Our algorithm is based on the fast Fourier transform at non equispaced knots and requires only [Figure not available: see fulltext.](N) arithmetic operations.
      
Using the fast interpolation with regular Fourier matrices, the NUFCT algorithms requires only O(N log2N) arithmetic operations.
      
The GD spatio-temporal model requires only two numbers to describe the complete three-dimensional space-time shapes of individual receptive fields in primate visual cortex.
      
This beneficial outcome requires only a 50% decrease in dietary AGEs, making this necessary intervention practical and inexpensive.
      
Tinidazole is the first-line drug treatment of giardiasis, as it requires only a single dose to cure infection in most individuals.
      
 

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