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Consider the modified problem.
We now consider the modified initial-boundary value problem: (2.5).
First we consider the modified kernel function in case, which is defined by (1.11).
Now we consider the modified extension of the twisted -Bernoulli polynomials of order as follows: (2.14).
In this section, we consider the modified Ishikawa iterative scheme computing by the CQ hybrid method [13 15].
Now, consider the modified iteration process (2.1), one interesting problem is studying the stability of the iteration scheme ({x_{n}}) generated by (2.1).
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Polat [7] also considered the modified Swift-Hohenberg equation.
Step 3. inverse contourlet transform (ICT) is applied by considering the modified directional subbands to obtain the watermarked image.
The end effect analysis of the magnetic field considered the modified winding of coils in the outer core of the electromagnetic pump for the end effect reduction.
In order to compare the numerical and theoretical values of eigenfrequencies two forms of the interatomic potentials are considered: the modified Morse potential and REBO potential.
In this study, three optimization models have been considered: the modified minimal spanning tree, the shortest path and the out-of-kilter algorithms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com