This paper introduces a higher-order neural network called the Binary Pi-sigma Network (BPSN), which is a feedforward network with a single \hidden" layer and product units in the output layer. As training proceeds, the BPSN forms an internal representation of the conjunctive normal form expression corresponding to the Boolean function to be learned. This enables the network to have a regular s...

Let $G=\operatorname {SO}^\circ (n,1) \times \operatorname (n,1)$ and $X=\mathbb {H}^{n}\times \mathbb {H}^{n}$ for $n\ge 2$. For a pair $(\pi _1, \pi _2)$ of non-elementary convex cocompact representations finitely generated group $\Sigma$ into $\operatorname (n,1)$, let $\Gamma =(\pi _1\times _2)(\Sigma )$. Denoting the bottom $L^2$-spectrum negative Laplacian on {\setminus } X$ by $\lambda _...

ABSTRACT A line list for two isotopologues of aluminium monochloride, Al35Cl and Al37Cl, is presented covering the wavelength range <0.2 µm, J up to 400, applicable temperatures 5000 K. The lists are built using an empirical spectroscopic model consisting potential energy curves, spin–orbit coupling electronic angular momentum Born–Oppenheimer breakdown correction curves combined with ab...

In this paper, the $IJ=00, 11, 20$ partial wave $\pi\pi$ scattering phase shifts determined by lattice QCD approach are analyzed using a novel dispersive solution of S-matrix, i.e. PKU representation, in which unitarity and analyticity amplitudes automatically satisfied conveniently decomposed into contributions cuts various poles, including bound states, virtual states resonances. The contribu...

The three pentaquark states, ${P}_{c}(4312)$, ${P}_{c}(4440)$, and ${P}_{c}(4457)$, discovered by the LHCb Collaboration in 2019, can be nicely arranged into a multiplet of ${\overline{D}}^{(*)}{\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}$ seven molecules dictated heavy quark spin symmetry. In this work we employ effective Lagrangian approach to investigate two decay modes ${P}_{c}(4457)\ensuremath...

We have shown previously that low doses of selective sigma (sigma)-receptor ligands potentiate the excitatory response of pyramidal neurons to NMDA in the CA3 region of the dorsal hippocampus in the rat. Because progesterone competitively displaces the binding of the ligand N-[3H]allyl-normetazocine (SKF-10,047), the present studies were undertaken to determine in vivo the effect of neuroactive...

We investigate the axial-vector transition form factors of lowest-lying singly heavy baryons within framework chiral quark-soliton model. consider linear ${m}_{\mathrm{s}}$ corrections, dealing with strange current quark mass as a small perturbation. Since we have various relations between different transitions because isospin symmetry and flavor SU(3) breaking, only two are independent. presen...

We describe a visual assay of neuronal electrophysiologic status for use with cultured neurons, based on the exclusion of propidium iodide (PI) by intact cellular membranes. We use this fluorescent dye, which binds to nucleic acids, at concentrations suitable for long-term exposure to neurons without toxicity. We correlate the progressive loss of resting membrane potential and the progressive i...

In this paper we investigate the relationship between the pulse-coded signal representation found in biological neurons and signals represented by first-order delta-sigma bit-streams. We show that a first-order delta-sigma bit-stream is a digital equivalent to a pulse-coded neural signal. By increasing the clock frequency, a delta-sigma bit-stream can approach a pulse-coded representation with ...

Abstract The three pentaquark states, $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ 4440 and $$P_c(4457)$$ 4457 discovered by the LHCb Collaboration in 2019, are oft...