Optimality properties of the icosahedral fiber architecture are conjectured, and numerical evidence in support of these conjectures is presented.
In addition, three new conjectures are presented.
In the last section of [3], some conjectures were presented.
In this work, partial answers to Reich, Mizoguchi and Takahashi's and Amini-Harandi's conjectures are presented via a light version of Caristi's fixed point theorem.
This conjecture has presented physicists with an impasse: How could we ever know that some hidden mechanism wasn't at work?
Another approach to the Suita conjecture was presented in [28].
After discussing some consequences of these models, a new conjecture is presented: the ac behaviour of the blocking interface and the Tafel slope of the dc polarization curve measured in the presence of an electroactive material are interrelated at fractal electrode surfaces.
Let us return from the realm of conjecture to present reality.
In this note we collect known facts related to the Conjecture and present some new results.
First, we prove the Lin and Reiter conjecture by presenting a case where the progressed theory indeed does lose information, thus closing a question that has remained open for more than ten years.
