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Exact(4)
and, by multiplication and integration over, (2.7).
By multiplication and integration of (1.1) we obtain (2.18).
By multiplication and integration (2.22) over, we obtain (2.27).
VCO2,br is the multiplication and integration of airway flow and PCO2 over an entire respiratory cycle [ 4, 5, 6].
Similar(56)
In general, the multiplications and integration in (15) cannot be expressed in closed form, therefore, we introduce the following Gaussian mixture parameterization at instant (16).
These are then used as boundary conditions in adaptive Chebychev polynomial solution giving continuous displacement histories for selected cycles this considerably reduces the number of multiplications and integrations normally required.
Step 2. By multiplication of (1.1) by and integration over we obtain (4.6).
Each box performs a fundamental process, for example addition, multiplication of a variable by a constant, and integration.
Application of the operator ∇ m to Eq. (1), multiplication by, integration over time interval (t0, t1) and volume of the sphere G, and finally, use of the Gauss theorem and integration per parts, yields after some algebra, (19 Differentiating the resistivity with respect to any parameter is trivial, (20)Integration of (19) is therefore straightforward with only one caveat.
That is, consequent multiplication of Eq. (1) by 1 and by s and integration over the whole solid angle leads to a system of two first order differential equations for u and the flux q = − κ∇ u.
And integration often did not go smoothly.
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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