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What gets us out of this quandary is that here in effect not all second derivatives are involved but only those that are "tangential" to b D. Matters are made precise by the following "restriction" principle and its variants.
The methods used in [21, 35] for constructing the MFPT in a composite domain of the type shown in Figure 1d are made precise here and the new method extends to the domains of the type shown in Figure 1c.
In this section, the processes governing reproduction and death are made precise and Equation 3 is rederived from first principles.
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Now, researchers like Srinivasan and his student Leroy Long are making precise mathematical predications in order to experimentally test different theories of movement.
This connection will be made precise in what follows.
This is made precise in the following subsection.
Now, the Conservativeness criterion can be made precise as follows.
But of course this must be made precise.
The answer depends almost certainly on how the question is made precise.
Both principles can be made precise, proved, and computationally supported in numerous different ways.
This map is a continuous algebra homomorphism, in a sense that is made precise later.
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