We present observations of two bright M dwarfs (TOI-1634 and TOI-1685: $J=9.5-9.6$) hosting ultra-short period (USP) planets, identified by the TESS mission. The stars are similar in temperature, mass, radius ($T_\mathrm{eff}\,\approx\,3500$ K, $M_\star\,\approx\,0.45-0.46\,M_\odot$, $R_\star\approx 0.45-0.46\,R_\odot$), planets both super-Earth-sized ($1.25\,R_\oplus<R_p<2.0\,R_\oplus$). For s...

This paper describes a system that uses AI planning and representation techniques as the core of a decision support system.* The planning technology is supplemented with other AI and non-AI technologies. The overall system and initial application domain, military operations planning, are described first. We then describe the integration of SIPE-2, a generative planning system, with three indepe...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

A Fock space is introduced which admits an action of a quantum group of type A supplemented with some extra operators. The canonical and dual canonical basis of the Fock space are computed and then used to derive the finite-dimenisonal tilting and irreducible characters for the Lie superalgebra osp(2|2n). We also determine all the composition factors for the symmetric tensors of the natural osp...

We show how one may classify all semisimple algebras containing the $\mathfrak{su}(3)\oplus \mathfrak{su}(2) \oplus \mathfrak{u}(1)$ symmetry of Standard Model and acting on some given matter sector, enabling theories beyond with unification (partial or total) symmetries (gauge global) to be catalogued. With just a single generation fermions plus singlet neutrino, only {gauge} correspond well-k...

In this paper we defined the concept of module amenability of Banach algebras and module connes amenability of module dual Banach algebras.Also we assert the concept of module Arens regularity that is different with [1] and investigate the relation between module amenability of Banach algebras and connes module amenability of module second dual Banach algebras.In the following we studythe...

We present the discovery and characterization of two sub-Neptunes in close orbits, as well a tentative outer planet similar size, orbiting TOI-1260 - low metallicity K6V dwarf star. Photometry from TESS yields radii $R_{\rm b} = 2.33 \pm 0.10$ $R_{\oplus}$ c} 2.82 0.15$ $R_{\oplus}$, periods 3.13 7.49 days for TOI-1260b TOI-1260c, respectively. combined data with series ground-based follow-up o...