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Let us proceed by analyzing the algorithms.
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The information programmed in a computer is intentional in that one could determine the intentions of the human programmer by analyzing the algorithm.
We conclude the description of methods by analyzing the complexity of our algorithms.
By analyzing the computational complexity of the algorithm we show that the MMsFV method allows obtaining a conservative approximation of the fine-scale velocity more efficiently than the MsFV method.
The researchers developed their mood-detection algorithms by analyzing the emotions of 70,000 people in 30 languages.
We provide insights into the configuration of the proposed algorithms by analyzing the behavior of several of their components.
The discovery of particularly effective encodings influenced the design of more effective algorithms: by analyzing the properties of these encodings, we identify the features in QBF solvers responsible for their efficiency.
The base function is subtracted from the input so that it becomes maximally orthogonal to that base function, and then the algorithm proceeds by analyzing the remainder of that subtraction.
In Section 3, our considerations are complemented by analyzing the steady-state behavior of the algorithm and finally we link all these elements to a strong statement about a large class of linearly filtered random processes of the moving average type.
We validated the performance of the proposed algorithm by analyzing the injection error according to randomly generated loading angles.
By analyzing the principles of the MC algorithm, as well as the features of the specific application, improvements were developed to: eliminate ambiguities by using a unified isosurface constructing method in the voxels, and improve the operating efficiency of the MC algorithm by incorporating an octree structure.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com