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Each species represents a unique set of solutions to a set of biological problems, any one of which can be of critical importance to the advance of medicine, to productive agriculture, to the biology that provides current support for humanity, and, most importantly, will provide solutions to the environmental challenge.
Therefore, Problem III has a unique set of solutions.
Moreover, the optimal treatment allocation is characterized by a unique set of solutions to a system of equations.
On the other hand, when (n=L+1,2+2, ldots, N), because the matrix A is positive definite, OFDCNI scheme (15) has a unique set of solutions ({boldsymbol{U}_{d}^{n}}_{n=L+1}^{N}).
The classical FDCN scheme (3) has a unique set of solutions ({ boldsymbol{U}^{n}}_{n=1}^{N}) and the classical FDCN solutions (boldsymbol{U}^{n}) ((n=1, 2, ldots, N)) are unconditionally stable and absolutely convergent.
Due to (24) being a linear equation, for the sake of proving that it has a unique set of solutions ({boldsymbol {sigma}_{h}^{i}} _{i=1}^{N} subsetmathcal{W}_{h}), we just need to demonstrate that when (boldsymbol {sigma}^{0}(boldsymbol {z})=boldsymbol {0}), (boldsymbol {sigma}_{h}^{i}=boldsymbol {0}) ((1le ile N)).
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Thus, OFDCNI scheme (11) has a unique set of stable solutions ({boldsymbol{U}_{d}^{n}} _{n=1}^{N}).
Each country offers a unique set of challenges which require local solutions.
Thus, the authors present a unique set of design challenges and propose different solutions which are very helpful for current as well as future researchers.
Each potential ballast-sterilizing solution presents a unique set of challenges.
That should not be surprising: as Thomas Lovejoy, who holds the biodiversity chair at the Heinz Centre in Washington, points out, the genome of every living creature is a unique solution to a unique set of problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com