This is a repository of my own learning notes, also could be a tutorial. I will I will continue to update this new repository, which may include machine learning, deep learning, probability theory, information theory, pytorch, tensorflow, and some learning mat…
We analyze the low-energy e-N2 collisions within the framework of the Modified-Effective Range Theory (MERT) for the long-range potentials, developed by O'Malley, Spruch and Rosenberg [Journal of Math. Phys. 2, 491 (1961)]. In comparison to the tra...
The purpose of this article is to present a new approach for the discovery and labelling of the implicit conceptual schema of texts through the application of the Thematic Progression theory. The underlying conceptual schema is the core component for...
In this paper we present some of our school's results in the area of building up relativity theory (RT) as a hierarchy of theories in the sense of logic. We use plain first-order logic (FOL) as in the foundation of mathematics (FOM) and we build on e...
We give an operator-algebraic treatment of theory of p-approximate Schuader frames which includes the theory of operator-valued frames by Kaftal, Larson, and Zhang [\textit{Trans. AMS., 2009}], G-frames by Sun [JMAA, 2006], factorable weak operator-v...
Not sure if this theory has been posted, I personally have yet to hear it. But [Bedtime Stories](https://www.youtube.com/channel/UCCD4-G3Aokt2sM7TYQV2HmA) just released the 3rd part of their Dyatlov P...
Over fourty years ago, the physicist Polyakov proposed a bold framework for string theory, in which the problem was reduced to the study of certain "random surfaces". He further made the tantalising suggestion that this theory could be explicitly sol...
In two recent articles Salazar and Brenig question the validity of kinetic theory for granular gases and fluids, on the based of a supposedly exact hierarchy of coupled equations for the velocity moments, which the authors derive from the BBGKY-hie...
By means of the effective-field theory (EFT) with correlations, the thermodynamic and magnetic quantities such as magnetization, susceptibility, internal energy, free energy, hysteresis curves and compensation behaviors of the spin-1/2 hexagonal Isin...
This is a pedagogic introduction to certain aspects of inverse spectral theory for Schrödinger operators and Jacobi matrices that revolves around my joint work with Fritz Gesztesy whose $70^{th}$ birthday we are honoring....
We survey a selection of Fritz's principal contributions to the field of spectral theory and, in particular, to Schroedinger operators....
**Theory Update April 2021: Wakasa Rumi and the Kohji case** \[ Link to this post in Google Docs: [https://bit.ly/3dYmH4Y](https://bit.ly/3dYmH4Y) \] ​ Finally, I’m putting my theory ...
The properties of nuclear matter are discussed with the relativistic mean-field theory (RMF).Then, we use two models in studying the in-medium properties of $Θ^+$: one is the point-like $Θ^*$ in the usual RMF and the other is a K$π$N structure f...
The relation between celestial holography and Liouville field theory is investigated. It is shown that duality relations between different Selberg type integrals appearing in the Coulomb gas realization of Liouville correlation functions induce a ser...
I describe a project to open a new territory of quantum field theory where the fields live not on a space-time manifold but on certain complete metric spaces of (n-1)-dimensional objects (defects) in a 2n-dimensional space-time M. These metric spaces...
[Chaos Theory Collection Event Trailer](https://youtu.be/DPMnd_xKQng) Welcome, test subjects. Thanks to the power of science, this update is bringing a big batch of changes, from new ways to play to ...
We propose a possibility of spontaneous CP-violation (SCPV) at high scale in a SUSY SO(10) theory. The model is L-R symmetric SUSY SO(10) with \textbf{\noun{10}} and \textbf{126} dimensional Higgs generating fermion masses, and the CP phase is gene...
For Boris Zilber on his 75th birthday. I trace the roots of my collaboration with Boris Zilber, which combines categoricity theory, finite model theory, algorithmics, and combinatorics....
We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part of the field strength. The resulting perturbation theory has the prope...
Given a graph of C*-algebras, we prove a long exact sequence in KK-theory for both the maximal and the vertex-reduced fundamental C*-algebras in the presence of possibly non GNS-faithful conditional expectations. We deduce from it the KK-equivalence...