scholarly journals Order-degree curves for hypergeometric creative telescoping

2012 ◽  
Author(s):  
Shaoshi Chen ◽  
Manuel Kauers
Keyword(s):  
Order Degree ◽  
Creative Telescoping

scholarly journals Efficient rational creative telescoping

2021 ◽  
Author(s):  
Mark Giesbrecht ◽  
Hui Huang ◽  
George Labahn ◽  
Eugene Zima
Keyword(s):  
Creative Telescoping

Research on the Measuring of the Order of Eco-Industrial Chains for Recycling Waste Material Based on the Theory of Dissipative Structure

2013 ◽  
Vol 345 ◽  
pp. 400-403 ◽  
Author(s):  
Ji Hong Li ◽  
Wei Wei Yu
Keyword(s):  
Dissipative Structure ◽  
Waste Material ◽  
Order Degree ◽  
The Relationship

According to the theory of dissipative structure, the orders concept has been introduced to the field of the eco-industrial chains. Based on the study on the relationship between entropy and order-disorder of the eco-industrial chains, the measuring model of its order has been proposed, which has quantificationally investigated the order degree of eco-industrial chains.

scholarly journals Effect of Reaction Temperature on Carbon Yield and Morphology of CNTs on Copper Loaded Nickel Nanoparticles

2016 ◽  
Vol 2016 ◽  
pp. 1-5 ◽  
Author(s):  
Hu Ming ◽  
Ding Peiling ◽  
Zhang Yunlong ◽  
Gao Jing ◽  
Ren Xiaoxue
Keyword(s):  
Reaction Temperature ◽  
Heat Transfer Performance ◽  
Tip Growth ◽  
Nickel Nanoparticles ◽  
Engineering Application ◽  
Copper Matrix ◽  
Cvd Method ◽  
Copper Powders ◽  
Order Degree ◽  
Improve Heat Transfer

This investigation was attempted to introduce carbon nanotubes (CNTs) onto surface of copper powders in order to improve heat transfer performance of copper matrix for engineering application of electrical packaging materials. The Ni/MgO catalyst was formed on the copper powders surface by means of codeposition method. CVD technique was executed to fabricate uniform CNTs on copper powders and effect of reaction temperature on the morphology of CNTs was surveyed. The results showed that CNTs products on the copper powder surface were distributed uniformly even if reaction temperature was different. The diameter dimension of CNTs was within the scope of 30~60 nm. Growth behaviors of CNTs by CVD method were considered to be “tip-growth” mechanism. Raman spectra of CNTs proved that intensity ratio of D-band to G-band (ID/IG) increased as deposition reaction temperature increased, which implied that order degree of graphitic structure in synthesized CNTs improved.

scholarly journals THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS

2010 ◽  
Vol 19 (12) ◽  
pp. 1571-1595 ◽  
Author(s):  
STAVROS GAROUFALIDIS ◽  
XINYU SUN
Keyword(s):  
Difference Equation ◽  
Recursion Relation ◽  
Jones Polynomial ◽  
Minimal Order ◽  
Quantum Topology ◽  
And Topology ◽  
Jones Polynomials ◽  
Creative Telescoping ◽  
Colored Jones Polynomials ◽  
Telescoping Method

The purpose of the paper is two-fold: to introduce a multivariable creative telescoping method, and to apply it in a problem of Quantum Topology: namely the computation of the non-commutative A-polynomial of twist knots. Our multivariable creative telescoping method allows us to compute linear recursions for sums of the form [Formula: see text] given a recursion relation for [Formula: see text] and the hypergeometric kernel c(n, k). As an application of our method, we explicitly compute the non-commutative A-polynomial for twist knots with -15 and 15 crossings. The non-commutative A-polynomial of a knot encodes the monic, linear, minimal order q-difference equation satisfied by the sequence of colored Jones polynomials of the knot. Its specialization to q = 1 is conjectured to be the better-known A-polynomial of a knot, which encodes important information about the geometry and topology of the knot complement. Unlike the case of the Jones polynomial, which is easily computable for knots with 50 crossings, the A-polynomial is harder to compute and already unknown for some knots with 12 crossings.

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