Some of these include equivalences to Ekeland's variational principle, for instance, to Caristi fixed point theorem or Takahashi minimization theorem, all of them with their natural connection to solution to equilibrium or fixed point theorems for set-valued maps (see, for instance [11, 13 19]).
They are connections to solutions.
We establish connections to former solutions and discuss advantages and drawbacks of the proposed method from both mechanical and numerical perspectives.
Major new legislation is relatively rare (compared with regulations) and develops from a combination of awareness of a problem and connection to a policy solution.
The documentary, produced by Larry Klein, who wrote it with Mark Olshaker, is based on Mr. Macaulay's book and expands on that connection to look at the clever solutions people came up with to solve a variety of problems.
Moreover, non-standard boundary conditions are introduced in connection to the behavior of the solutions.
In the spirit of this year's lofty theme, "Collaborative Innovation," the WEF invited anyone with a camera and a working Internet connection to give his or her solutions to a Davos question on video and post it on YouTube.
This hopefully highlights the practical, creative nature of engineering, with a clear connection to judgments and choices about solutions that achieve a balance between potentially conflicting outcomes in terms of their aesthetic, economic, environmental, technical and other criteria.
The only two non-renewable solutions plausible are connection to the Chilean national grid or self production of electricity using generators run with natural gas from a nearby pipeline.
For more on the solution, including its connection to Ramsey Theory, see Ms. Cook's comments.
