Entwined pairs and Schrödinger’s equation

Entwined engrams

The nematode Caenorhabditis elegans displays a surprisingly sophisticated behavioral repertoire that includes the utilization of both associative and non-associative forms of learning. Elucidating the molecular basis of learning remains a fundamental, yet daunting, challenge of modern neuroscience. In Pereira and van der Kooy (ref. 2), we described the use of a two input-two output stimuli syst...

Trivially related lax pairs of the Sawada-Kotera equation

We show that a recently introduced Lax pair of the Sawada-Kotera equation is nota new one but is trivially related to the known old Lax pair. Using the so-called trivialcompositions of the old Lax pairs with a differentially constrained arbitrary operators,we give some examples of trivial Lax pairs of KdV and Sawada-Kotera equations.

Quantum Symmetric Pairs and the Reflection Equation

It is shown that central elements in G. Letzter’s quantum group analogs of symmetric pairs lead to solutions of the reflection equation. This clarifies the relation between Letzter’s approach to quantum symmetric pairs and the approach taken by M. Noumi, T. Sugitani, and M. Dijkhuizen. We develop general tools to show that a Noumi-Sugitani-Dijkhuizen type construction of quantum symmetric pairs...

From Kant to entwined Naturalism

Are obesity and left ventricular dysfunction entwined?

Our understanding of left ventricular (LV) function and its description using echocardiographic techniques continues to evolve. From measurement of systolic function by ejection fraction, Tissue Doppler parameters are now used to evaluate systolic and diastolic function in the shortand long axis. However, it is now recognized that LV function also involves twisting or torsion. LV torsion result...