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Figure 1 shows various handwriting analysis, where researchers have concentrated a lot of efforts for solving specific tasks among which are handwriting recognition [1, 2] and writer identification [3 5].
The aim of this paper is to present modified FGP algorithm and generalized MATLAB program which is simple, efficient and requires less computational efforts for solving multi-level linear fractional programming problems (ML-LFPPs).
As part of the efforts for solving these puzzles and for quantitative and mechanistic study of the relevant signalling events, mathematical models have been developed for analyzing the relevant signalling and regulation processes [ 15- 20].
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It provides accurate results but also requires computational (and implementational) effort for solving a Poisson equation for the pressure correction.
Finally, a reduced complexity strategy that requires smaller feedback information and lower computational effort for solving the optimization problem is developed.
In addition, the reduced complexity strategy that requires less feedback information and lower computational effort for solving the optimization problem has been developed.
However, we note that the system with feedback reduction requires only 12.5%% of the number of feedback bits and has lower computational effort for solving the optimization problem.
The surrogate model constructed using Proper Orthogonal Decomposition (POD) and Diffuse Approximation reduces the computational effort for solving the microscopic boundary value problems.
The computational effort for solving the extra dimension is negligible compared to the information gained.
Usually when the number of system states is increasing drastically, enormous efforts are required for solving the problem by using classical Markov methods or simulation techniques.
On the other hand, there exist also limited but very promising efforts in developing spectral methods for solving FOCPs.
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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