In this paper, we shall show that the following translation \(I^M\) from propositional fragment \(\bf L_1\) of Leśniewski's ontology to modal logic KTB\) is sound: for any formula \(\phi\) and \(\psi\) L_1\), it defined as (M1) \(I^M(\phi \vee \psi) = I^M(\phi) I^M(\psi)\), (M2) \(I^M(\neg \phi) \neg I^M(\phi)\), (M3) \(I^M(\epsilon ab) \Diamond p_a \supset . \wedge \Box p_b .\wedge p_a\), wher...

A heterostructure composed of $N$ parallel homogeneous layers is studied in the limit as their widths $l_1, \ldots , l_N$ shrink to zero. The problem investigated one dimension and piecewise constant potential Schr\"{o}dinger equation given by strengths $V_1, V_N$ functions l_N$, respectively. key point derivation conditions on $V_1(l_1), V_N(l_N)$ for realizing a family one-point interactions ...

We define a broad class of local Lagrangian intersections which we call quasi-minimally degenerate (QMD) before developing techniques for studying their Floer homology. In some cases, one may think such as modeled on minimally functions defined by Kirwan. One major result this paper is: if $L_0,L_1$ are two submanifolds whose intersection decomposes into QMD sets, there is spectral sequence con...