scholarly journals Weighted projective lines of tubular type and equivariantization

2017 ◽  
Vol 470 ◽  
pp. 77-90
Author(s):  
Jianmin Chen ◽  
Xiao-Wu Chen
Keyword(s):  
Tubular Type ◽  
Projective Lines

scholarly journals Monadicity Theorem and Weighted Projective Lines of Tubular Type

2015 ◽  
Vol 2015 (24) ◽  
pp. 13324-13359 ◽  
Author(s):  
Jianmin Chen ◽  
Xiao-Wu Chen ◽  
Zhenqiang Zhou
Keyword(s):  
Tubular Type ◽  
Projective Lines

Computational Classification of Tubular Algebras

2020 ◽  
Vol 177 (1) ◽  
pp. 39-67
Author(s):  
Piotr Dowbor ◽  
Yan Kim
Keyword(s):  
Software Package ◽  
Fundamental Domain ◽  
Discrete Mathematics ◽  
Isomorphism Classes ◽  
Tubular Type ◽  
Tubular Algebras ◽  
Projective Lines ◽  
Cartan Matrices

The effective method (based on Theorem 5.3) of classifying tubular algebras by the Cartan matrices of tilting sheaves over weighted projective lines with all indecomposable direct summands in some finite “fundamental domain” , by the reduction to the two elementary problems of discrete mathematics having algorithmic solutions is presented in details (see Problem A and B). The software package CART_TUB being an implementation of this method yields the precise classification of all up to isomorphism tubular algebras of a fixed tubular type p, by creating the complete lists of their Cartan matrices, and furnish their tilting realizations. In particular, the number of isomorphism classes of tubular algebras of the type p is determined (Theorem 2.3).

scholarly journals Geometrical Scaling of Antiresonant Hollow-Core Fibers for Mid-Infrared Beam Delivery

Crystals ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 420
Author(s):  
Ang Deng ◽  
Wonkeun Chang
Keyword(s):  
Structural Parameters ◽  
Transmission Band ◽  
Confinement Loss ◽  
Hollow Core ◽  
Core Size ◽  
Core Diameter ◽  
Mid Infrared ◽  
The Core ◽  
Tubular Type ◽  
Beam Delivery

We numerically investigate the effect of scaling two key structural parameters in antiresonant hollow-core fibers—dielectric wall thickness of the cladding elements and core size—in view of low-loss mid-infrared beam delivery. We demonstrate that there exists an additional resonance-like loss peak in the long-wavelength limit of the first transmission band in antiresonant hollow-core fibers. We also find that the confinement loss in tubular-type hollow-core fibers depends strongly on the core size, where the degree of the dependence varies with the cladding tube size. The loss scales with the core diameter to the power of approximately −5.4 for commonly used tubular-type hollow-core fiber designs.

Leachate Minimization by Reverse Osmosis

1992 ◽  
Vol 25 (3) ◽  
pp. 117-120 ◽  
Author(s):  
T. Bilstad ◽  
M. V. Madland
Keyword(s):  
Reverse Osmosis ◽  
Suspended Solids ◽  
Membrane Separation ◽  
Water Phase ◽  
Major Portion ◽  
Tubular Type ◽  
Iron Copper ◽  
Copper Chromium ◽  
Direct Discharge

Leachates from chemical and domestic landfills are defined as hazardous wastewater. Quantitative and qualitative control of leachate can be performed by membrane separation of the total produced leachate volume. Dissolved and suspended solids in the leachate are removed from the major portion of the water phase and either returned to the landfill or further treated. The particle - free permeate meets the effluent requirements for direct discharge to virtually any watercourse. An untreated leachate flow is concentrated thirteen times by tubular type reverse osmosis. The separation efficiencies are 99% for iron, copper, chromium and zinc. For suspended solids the removal is 100%.

scholarly journals Recollements, comma categories and morphic enhancements

2021 ◽  
pp. 1-25
Author(s):  
Xiao-Wu Chen ◽  
Jue Le
Keyword(s):  
Module Category ◽  
Triangulated Category ◽  
Triangulated Categories ◽  
Comma Category ◽  
The Right ◽  
Projective Lines ◽  
Triangle Functor

For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated with a triangle functor from the category on the right to the category on the left. For a morphic enhancement of a triangulated category $\mathcal {T}$ , there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over $\mathcal {T}$ . Examples related to inflation categories and weighted projective lines are discussed.

scholarly journals NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES

2014 ◽  
Vol 16 (02) ◽  
pp. 1350010 ◽  
Author(s):  
GILBERTO BINI ◽  
FILIPPO F. FAVALE ◽  
JORGE NEVES ◽  
ROBERTO PIGNATELLI
Keyword(s):  
Fundamental Group ◽  
Moduli Space ◽  
General Type ◽  
Picard Number ◽  
Surfaces Of General Type ◽  
Geometric Genus ◽  
Genus Zero ◽  
New Family ◽  
Hodge Numbers ◽  
Projective Lines

We classify the subgroups of the automorphism group of the product of four projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first application, we describe new examples of Calabi–Yau 3-folds with small Hodge numbers. In particular, the Picard number is 1 and the number of moduli is 5. Furthermore, the fundamental group is nontrivial. We also construct a new family of minimal surfaces of general type with geometric genus zero, K2 = 3 and fundamental group of order 16. We show that this family dominates an irreducible component of dimension 4 of the moduli space of the surfaces of general type.

scholarly journals Tubular Type of Basal Cell Adenoma of Parotid Gland: A Rare Entity

2015 ◽  
Vol 5 (3) ◽  
pp. 184-187
Author(s):  
Pratik Dipak Shah ◽  
Srijon Mukherji
Keyword(s):  
Salivary Gland ◽  
Parotid Gland ◽  
Basal Cell ◽  
Myoepithelial Cell ◽  
Rare Case ◽  
Salivary Gland Neoplasm ◽  
Rare Entity ◽  
Basal Cell Adenoma ◽  
Cell Adenoma ◽  
Tubular Type

ABSTRACT Basal cell adenoma (BCA) is a significantly rare benign salivary gland neoplasm that includes isomorphic basaloid cells. Presence of myoepithelial cell is a characteristic of this tumor. Basal cell adenoma accounts for only 1 to 2% of all salivary gland epithelial tumors. The goal of the paper is to report a rare case of tubular type of BCA arising from parotid gland and discuss its management. How to cite this article Shah PD, Mukherji S. Tubular Type of Basal Cell Adenoma of Parotid Gland: A Rare Entity. J Contemp Dent 2015;5(3):184-187.

scholarly journals Ultrafiltration concentration of whey in a pilot plant

2019 ◽  
Vol 81 (2) ◽  
pp. 41-46
Author(s):  
D. A. Rodionov ◽  
S. I. Lazarev ◽  
K. K. Polyansky ◽  
E. V. Eckert
Keyword(s):  
Experimental Data ◽  
Calculated Data ◽  
General View ◽  
Specific Flow ◽  
Milk Whey ◽  
Retention Coefficient ◽  
Tubular Type ◽  
Specific Output ◽  
Output Stream ◽  
Mathematical Expressions

Experimental data on the retention coefficient and the output specific flow are obtained. The test solutions were goat and cow's milk whey after obtaining cheese. The description, general view and technological scheme of a pilot installation of a tubular type are given. The studies were carried out on semipermeable tubular type ultrafiltration membranes manufactured by AO "ZAVKOM". Based on the studies, graphical dependences of the retention coefficient on the specific output stream were constructed and analyzed. During the analysis, it was noted that with an increase in the output specific flow of the solvent, the retention coefficient decreases. The reason for this is the boundary layers of fat and protein formed in the near-membrane layers, which prevents the passage of protein molecules through the pores of the membrane. Also during the experiment, it was noted that goat milk serum has a more oily structure and requires prior separation. For the theoretical calculation of the retention coefficient and specific output stream, mathematical expressions are developed and numerical values of the values of empirical coefficients are obtained. The developed mathematical expressions describe the experimental data with good confidence. The obtained experimental and calculated data can be used with great reliability in the calculations of mass-transported flows of substances through semipermeable membranes, as well as in engineering methods for calculating and predicting the effectiveness of the use of membrane processes for the concentration of whey.

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