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Among many others, these interactions transform a difference into continuing innovation between various fields within a social system.
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The algorithm developed is based on the sliding window method and applies the discrete wavelet transform to a difference signal computed in the time domain, comparing each voltage sample with its corresponding sample in the previous period.
To solve this equation in the time domain, the first step is to transform it into two coupled ODEs and then the spatial differential equation can be transformed to a difference equation.
Each step, he writes, "individually makes a difference; collectively they can transform a city and the lives of its residents".
The integral equation (5) with the delta-function kernel (17) can be transformed into a difference equation similar to [ 33].
To do this we start by transforming a second-order difference equation with Dirichlet boundary conditions at both ends to a second-order difference equation of the same type with non-Dirichlet boundary conditions at both ends and then transform this back to the original boundary value problem.
The artist's voice is the difference maker, transforming a classroom setup into a shadowy ministry.
In order to transform these difference measures into an expected change from baseline with each treatment, the effect estimates of each regimen relative to placebo were combined with the average change from baseline with placebo across studies.
The second step, exhibiting the novelty of the study, is to transform the difference equations with delay terms into a set of delay-free difference equations via a state transformation.
The Laplace transform finite difference technique is applied to solve the three-dimensional axisymmetrical advection dispersion equation with spatial variable-dependent coefficients.
In the next section we provide the formulae, which transform the difference equations (SL) into the corresponding matrix equation (see Lemma 2.1 below) based on [1].
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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