□ For later use, we formulate a result on the nonlinear operator M τ.
To formulate a related result we need additional notation.
We are now going to formulate a technical result concerning solutions to (56) which will be a helpful tool to the investigations in the sequel.
Then estimate (115) remains true for g in a small enough neighborhood of g 0 in C k ( M 1 ) with a uniform constant C > 0. The theorem above allows us to formulate a generic result: Let G ⊂ C k ( M ) be an open set of regular Riemannian metrics on M such that (T) is satisfied for each one of them.
This novel formulation requires less binary variables and continuous variables to formulate a problem, resulting in lower computation times.
We hope the additional features of CBMAR can help in formulating a better-informed hypothesis, resulting in a better understanding of biochemical and physico-chemical consequences of mutations within different β-lactamases.
As a result, formulating an action plan as a homework assignment or part of the contracting was also rarely encouraged by the trainers and/or performed by the participants.
This result enables formulating a hypothesis that crack spacing in tensile elements of equivalent axial stiffness is predominantly dependent on geometry of the concrete and, particularly, on the cover depth.
For example, human speech production (complex capacity C) results from formulating a speech intention, then selecting appropriate linguistic representations to capture the content of the speech intention, then formulating the motor commands to produce the appropriate sounds, then communicating these motor commands to the appropriate motor pathways (constituent capacities c1, c2,…, cn).
We then first formulate an auxiliary result.
Now we formulate an existence result for the (operatorname{GNCP} (S,mathbb {K} )) problem.
