Algebraic Geometry Realization of Quantum Hall Soliton

Using Iqbal-Netzike-Vafa dictionary giving the correspondence between the H$_{2}$ homology of del Pezzo surfaces and p-branes, we develop a new way to approach system of brane bounds in M-theory on $\mathbb{S}^{1}$. We first review the structure of ten dimensional quantum Hall soliton (QHS) from the view of M-theory on $\mathbb{S}^{1}$. Then, we show how the D0 dissolution in D2-brane is realized in M-theory language and derive the p-brane constraint eqs used to define appropriately QHS. Finally, we build an algebraic geometry realization of the QHS in type IIA superstring and show how to get its type IIB dual. Others aspects are also discussed. Keywords: Branes Physics, Algebraic Geometry, Homology of Curves in Del Pezzo surfaces, Quantum Hall Solitons.Comment: 19 pages, 12 figure

Classification of N=2 supersymmetric CFT_{4}s: Indefinite Series

Using geometric engineering method of 4D $\mathcal{N}=2$ quiver gauge theories and results on the classification of Kac-Moody (KM) algebras, we show on explicit examples that there exist three sectors of $\mathcal{N}=2$ infrared CFT$_{4}$s. Since the geometric engineering of these CFT$_{4}$s involve type II strings on K3 fibered CY3 singularities, we conjecture the existence of three kinds of singular complex surfaces containing, in addition to the two standard classes, a third indefinite set. To illustrate this hypothesis, we give explicit examples of K3 surfaces with H$_{3}^{4}$ and E$_{10}$ hyperbolic singularities. We also derive a hierarchy of indefinite complex algebraic geometries based on affine $A_{r}$ and T$$ algebras going beyond the hyperbolic subset. Such hierarchical surfaces have a remarkable signature that is manifested by the presence of poles.Comment: 12 pages, 2 figure

Corrosion inhibition of the EtOH extract of Zygophyllum Fabago for carbon steel in 1M HCl

Natural extracts have found wide application in preserving metallic materials against corrosion. They are readily available, non-toxic, environmentally friendly, naturally degradable, highly effective and renewable. In this study, we used the EtOH extract of Zygophyllum Fabago (ZF) as a corrosion inhibitor for carbon steel in a molar hydrochloric acid solution. GC-MS analysis of the Zygophyllum Fabago oil extract revealed the presence of 18 compounds, of which vanillin (VN) was the main component at 27.78% by weight. The influence of ZF on corrosion inhibition was examined using electrochemical techniques such as open circuit potential (OCP), polarization curves (PC) and impedance spectroscopy (EIS), as well as scanning electron microscopy coupled to elemental analysis (SEM/EDX). The results show that ZF extract acts effectively as a mixed corrosion inhibitor, with cathodic activity predominating. Inhibition efficiency increased in proportion to inhibitor concentration and immersion time, reaching a rate of 87%. This protective effect can be explained by the formation of a protective layer on the steel surface. The adsorption of ZF on the steel surface follows the Langmuir isotherm, which is characterized by the formation of a protective layer on the steel surface. The adsorption of ZF on the steel surface follows the Langmuir isotherm, characterized by a physisorption mechanism. To confirm the experimental results, we carried out a theoretical study using Density Functional Theory (DFT) and Molecular Electrostatic Surface Potential (MESP), In order to have a clear understanding of the inhibition and adsorption mechanisms of various constituents of ZF on steel

Prediction of Ideas Number During a Brainstorming Session

International audienceIn this paper, we present an approach allowing the prediction of ideas number during a brainstorming session. This prediction is based on two dynamic models of brainstorming, the non-cognitive and the cognitive models proposed by Brown and Paulus (Small Group Res 27(1):91–114, 1996). These models describe for each participant, the evolution of ideas number over time, and are formalized by differential equations. Through solution functions of these models, we propose to calculate the number of ideas of each participant on any time intervals and thus in the future (called prediction). To be able to compute solution functions, it is necessary to determine the parameters of these models. In our approach, we use optimization model for model parameters calculation in which solution functions are approximated by numerical methods. We developed two generic optimization models, one based on Euler’s and the other on the fourth order Runge–Kutta’s numerical methods for the solving of differential equations, and we apply them to the non-cognitive and respectively to the cognitive models. Through some feasibility tests, we show the adequacy of the proposed approach to our prediction context

On Local Calabi-Yau Supermanifolds and Their Mirrors

We use local mirror symmetry to study a class of local Calabi-Yau super-manifolds with bosonic sub-variety V_b having a vanishing first Chern class. Solving the usual super- CY condition, requiring the equality of the total U(1) gauge charges of bosons \Phi_{b} and the ghost like fields \Psi_{f} one \sum_{b}q_{b}=\sum_{f}Q_{f}, as \sum_{b}q_{b}=0 and \sum_{f}Q_{f}=0, several examples are studied and explicit results are given for local A_{r} super-geometries. A comment on purely fermionic super-CY manifolds corresponding to the special case where q_{b}=0, \forall b and \sum_{f}Q_{f}=0 is also made.\bigskipComment: 17 page

2,6-Bis(5,6-dicyclohexyl-1,2,4-triazin-3-yl)-pyridine-dichloromethane-wa ter (1/1/0.625)

The title compound, 2,6-bis(5,6-dicyclohexyl-1,2,4-triazin-3-yl) pyridine, C35H57N7.CH2Cl2.0.625H(2)O, crystallizes with two molecules in the asymmetric unit, along with 1.25 molecules of water and two molecules of dichloromethane. The water molecules are involved in hydrogen-bond interactions with some N atoms of the triazine rings

Synthesis of dicyanopyridines

Synthesis of the title compounds in four steps using inexpensive collidine and lutidine as starting materials is described

On Optimal Tolerancing in Computer-Aided Design

A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves / surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools