The core of a chain complete poset with no one-way infinite fence and no tower

Order ◽  
1993 ◽  
Vol 10 (4) ◽  
pp. 349-361 ◽  
Author(s):  
Boyu Li
Keyword(s):  
The Core ◽  
Chain Complete ◽  
A Chain

scholarly journals Designing a Cartridge Winder with Electronic Control

2014 ◽  
Vol 9 (2) ◽  
pp. 155892501400900 ◽  
Author(s):  
Pragnya Sanjiv Kanade ◽  
Someshwar S. Bhattacharya
Keyword(s):  
Laboratory Model ◽  
Electronic Control ◽  
Core Tube ◽  
Feed Material ◽  
The Core ◽  
Dyeing Process ◽  
Recent Trends ◽  
Precision System ◽  
A Chain ◽  
Filter Cartridge

There are number of winding machines in the market based on either the Random, Precision, or Step Precision winding system. Filtration application requires a uniform lay of yarn or its performance may be affected, hence, for the aforesaid purpose, the precision system would be more apt. Recent trends show an increased use of electronics in all applications, textiles being no exception. The aim of the present work was to develop a filter cartridge winder (laboratory model) based on the precision winding system, controlled electronically. The novelty of this machine lies in the fact that it makes use of a chain to reciprocate the guide mounted on it, unlike the majority of commercial filter winders, which make use of scroll cams to traverse the yarn. Filter winders are specialized winders that produce cartridges in standard sizes of 10”, 20”, 30″ and up to 70”. Thus a cartridge winder is quite different from the usual winding machines not only in terms of its traverse length and feed material but also because of the core tube which has to be perforated just as one required for a dyeing process.

Oxidation Dynamics of a Chain of Aluminum Nanoparticles

2013 ◽  
Vol 1521 ◽  
Author(s):  
Adarsh Shekhar ◽  
Weiqiang Wang ◽  
Richard Clark ◽  
Rajiv K. Kalia ◽  
Aiichiro Nakano ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Pure Aluminum ◽  
Aluminum Nanoparticles ◽  
Oxidation Reactions ◽  
The Third ◽  
The Core ◽  
Burning Behavior ◽  
A Chain ◽  
Dynamics Simulations ◽  
Exothermic Oxidation

ABSTRACTMultimillion-atom molecular dynamics simulations are used to investigate burning behavior of a chain of three alumina-coated aluminum nanoparticles (ANPs), where particles one and three are heated above the melting temperature of pure aluminum. The mode and mechanism behind the heat and mass transfer from the hot ANPs (particles one and three) to the middle, cold ANP (particle two) are studied. The hot nanoparticles oxidize first, after which hot Al atoms penetrate into the cold nanoparticle. It is also found that due to the penetration of hot Al atoms, the cold nanoparticle oxidizes at a faster rate than in the initially heated nanoparticles. The calculated speed of penetration is found to be 54 m/s, which is within the range of experimentally measured flame propagation rates. As the atoms penetrate into the central ANP, they maintain their relative positions. The atoms from the shell of the central ANP form the first layer, which is followed by the atoms from the shell of the outer ANP making the second layer and lastly the atoms from the core of the outer ANPs form the third layer. In addition to heating the central ANP by convection, the ejected hot Al atoms from the outer ANPs initiate exothermic oxidation reactions inside the central ANP, leading to further heating within the central ANP. During 1 ns, all three ANPs fuse together, forming a single ellipsoidal aggregate.

A chain complete poset with no infinite antichain has a finite core

Order ◽  
1993 ◽  
Vol 10 (1) ◽  
pp. 55-63 ◽  
Author(s):  
Boyu Li ◽  
E. C. Milner
Keyword(s):  
Chain Complete ◽  
A Chain

scholarly journals Towards a model of chain-by-chain magnetization of a granular medium: a variant of magnetic diagnostics of chains of spheres

2021 ◽  
Vol 9 (5) ◽  
pp. 36-44
Author(s):  
A. A. Sandulyak ◽  
D. A. Sandulyak ◽  
Yu. О. Gorpinenko ◽  
V. A. Ershova ◽  
A. V. Sandulyak
Keyword(s):  
Magnetic Flux ◽  
Magnetic Permeability ◽  
Magnetic Induction ◽  
Granular Medium ◽  
Printed Circuit Boards ◽  
Contact Point ◽  
Magnetic Parameters ◽  
The Core ◽  
Magnetic Diagnostics ◽  
A Chain

In addition to information on the magnetic parameters of inhomogeneous magnetics, in particular, granular magnetics usually studied within the framework of the quasi-continuous medium model, it is of no less interest to obtain information from the standpoint of the model, when the object of study is the characteristic elements of an inhomogeneous magnetic. According to the well-proven model of selective magnetization of a granular medium, the elements that make up this medium are chains of granules – straight and sinuous, always manifesting themselves in the direction of its magnetization. They perform the function of conductor channels of the generated magnetic flux through the granular medium. As a result, it is a kind of branched «bundle» of conductor channels. For any of the chains of granules, for example, granules-balls of radius R, conceptually significant are the magnetic parameters of its conditional cores with radius r ≤ R, and these parameters, first of all, the magnetic permeability of quasi-continuous cores and magnetic induction in them, for different (in r) cores are variable, which requires appropriate magnetic diagnostics. To clarify the magnetic parameters of the conditional cores of a chain of granules-balls, as a physically self-sufficient element of a granular medium (i.e., in accordance with the model of chain-link magnetization of such a medium), it is practical to make measuring magnetic flux sensors in the core as circular sensors surrounding the contact point of granules-balls, however, not as traditional wire loops, but as circuits on thin printed circuit boards (with mounting holes) placed between adjacent balls. Based on the obtained data of the magnetic flux in cores of different radii r (r/R = 0.2–0.9) of a chain of spheres with a radius of R = 20 mm, the values of the magnetic induction B in them, as well as their magnetic permeability μ, were determined when the chain is magnetized in the solenoid by a field of strength from 4.8 to 54.5 kA/m. It is shown that with formal thickening of the cores, the values of B and μ decrease due to a decrease in the volume of the ferromagnet in the core, and for the limiting core (r/R → 1), i.e., for the chain as a whole, they correspond to the values of B and μ for a poly-ball backfill medium.

scholarly journals Crystal structures of (±)-(1SR,5SR,6SR,7SR,10SR,11SR,13RS,14SR)-13-hydroxy-7-methoxymethoxy-11,15,18,18-tetramethyl-3-oxo-2,4-dioxatetracyclo[12.3.1.01,5.06,11]octadec-15-en-10-yl benzoate, its 13-epimer and 13-one derivative

2015 ◽  
Vol 71 (5) ◽  
pp. 466-472 ◽  
Author(s):  
Takeshi Oishi ◽  
Keisuke Fukaya ◽  
Yu Yamaguchi ◽  
Tomoya Sugai ◽  
Ami Watanabe ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Chain Structure ◽  
Inversion Center ◽  
Asymmetric Unit ◽  
Molecular Conformations ◽  
Π Interactions ◽  
The Core ◽  
Dimensional Network ◽  
The Mean ◽  
A Chain

The title compounds, C29H38O8·0.25C5H12, (A), C29H38O8, (B), and C29H36O8, (C), are tetracyclic benzoates possessing a taxane skeleton with a fused dioxolane ring as the core structure. In the asymmetric unit of (A), there are two independent benzoate molecules (A and A′) and a half molecule of solvent pentane disordered about an inversion center. The molecular conformations of (A), (B) and (C) are similar except for the flexible methoxymethoxy group. The cyclohexane, cyclohexene and central cyclooctane rings adopt chair, half-chair and chair–chair (extended crown) forms, respectively. The dioxolane rings are essentially planar, while the dioxolane ring of A′ is slightly twisted from the mean plane. In the crystal of (A), intermolecular O—H...O, C—H...O and C—H...π interactions link the independent benzoates alternately, forming a chain structure. In the crystals of (B) and (C), molecules are linked through O—H...O and C—H...π interactions, and C—H...O hydrogen bonds, respectively, into similar chains. Further, weak intermolecular C—H...O interactions connect the chains into a three-dimensional network in (A) and a sheet in (B), whereas no other interactions are observed for (C).

Clusters of Chemical Compounds as Polytopes of the Highest Dimension

2021 ◽  
pp. 27-51
Keyword(s):  
Metal Atom ◽  
High Dimension ◽  
Copper Cluster ◽  
Higher Dimension ◽  
The Core ◽  
Metal Atoms ◽  
Common Center ◽  
A Chain ◽  
Analytical Expressions ◽  
Flat Section

General analytical expressions are obtained for calculating the dimension of multi-shell clusters with a common center of shells in those cases when there is a metal atom in the center of the shells and when it is not. The shells can be in the shape of any body of Plato. It has been established that the gamma-copper cluster has the form of a cross-polytope of high dimension. The forms of clusters with ligands of the core of which is a chain of metal atoms or a metal polyhedron are geometrically investigated. It is shown that if the skeleton is a chain of metal atoms, then the cluster is polytope composed of two polytopes of higher dimension adjacent to each other along a flat section containing a chain. If the skeleton is a metal polyhedron, then a cluster of higher dimension has several ligand shells.

Cores of Π11 sets of reals

1974 ◽  
Vol 39 (4) ◽  
pp. 649-654 ◽  
Author(s):  
Andreas Blass ◽  
Douglas Cenzer
Keyword(s):  
Real Line ◽  
Analytic Subset ◽  
Borel Sets ◽  
The Real ◽  
The Core ◽  
A Chain ◽  
Almost All ◽  
Descriptive Set ◽  
The Given ◽  
Natural Way

A classical result of descriptive set theory expresses every co-analytic subset of the real line as the union of an increasing sequence of Borel sets, the length of the chain being at most the first uncountable ordinal ℵ1 (see [5], [8]). An effective analog of this theorem, obtained by replacing co-analytic (Π11) and Borel (Δ11) with their lightface analogs, would represent every Π11 subset of the real line as the union of a chain of Δ11 sets. No such analog is true, however, because some Δ11 sets are not the union of their Δ11 subsets. For example, the set W, consisting of those reals which code well-orderings (in some standard coding) is Π11, but, by the boundedness principle ([3], [9]), any Δ11 subset of W contains codes only for well-orderings shorter than ω1, the first nonrecursive ordinal. Accordingly, we define the core of a Π11 set to be the union of its Δ11 subsets; clearly this is the largest subset of the given Π11 set for which an effective version of the classical representation could exist.In §1, we develop the elementary properties of cores of Π11 sets. For example, such a core is itself Π11 and can be represented as the union of a chain of Δ11 sets in a natural way; the chain will have length at most ω1. We show that the core of a Π11 set is “almost all” of the set, while on the other hand there are uncountable Π11 sets with empty cores.

What is the Role of Third Party Logistics (3PL) Partners in an Omni-Channel Strategy?

2016 ◽  
Vol 7 (1) ◽  
pp. 22-32 ◽  
Author(s):  
Alea M. Fairchild
Keyword(s):  
Core Competency ◽  
Third Party ◽  
Third Party Logistics ◽  
Sales Channels ◽  
The Core ◽  
Channel Strategy ◽  
Substantial Investment ◽  
A Chain ◽  
Selection Of

The logistical infrastructure of the supply chains of online and offline sales channels of suppliers have been historically often completely separate. In the growing mobile commerce market, customers interact with suppliers using multiple touch points in one overall stream of information and goods which is considered an omni-channel. For larger suppliers, this can be an intricate chain of either their own resources or global partners. For many smaller suppliers, this is a chain of third parties adding value to the core competency of the supplier. The selection of a logistics partner for a small and medium-sized enterprise (SME) is a substantial investment in both infrastructure and a trusted relationship. But do SME suppliers know what they are looking for in an omni-channel strategy, and why? This article examines what characteristics an SME looks for in a 3PL partner in an omni-channel strategy, and discusses how an omni-channel strategy can be developed for these players.

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