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However, as we shall see in the next section, progress can be made analytically using a slightly simplified model.
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For Poisson data and log-linear regression, similar assessments are made using maximum likelihood and the Akaike information criterion for minimally-supported designs that are constructed analytically.
In the case of free healthcare, a distinction can be made, both operationally and analytically, between local and national sustainability.
A number of simplifications and assumptions were made reducing the problem to a single stationary advection-diffusion equation which we then showed could be solved analytically using Laplace transforms and convolution.
There are really no practical problems that can be solved analytically using Fresnel diffraction.
which can be solved analytically using Fourier transforms.
Fortunately this problem is simple enough to be solved analytically using Pontryagin's necessary conditions [56].
The dynamics of the T2 allele can be investigated analytically using the effective migration rate introduced above.
For certain categories of cost functions, the problem can be solved analytically, using variational calculus.
Of course, our eq. 10 can, as a system of linear ordinary differential equation, be solved analytically using matrix exponents.
It is not possible to make progress analytically using the nonlinear Michaelis Menten reaction term given by (3).
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CEO of Professional Science Editing for Scientists @ prosciediting.com