scholarly journals Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure

2021 ◽  
pp. 115644
Author(s):  
E. Lanina ◽  
A. Sleptsov ◽  
N. Tselousov
Keyword(s):  
Explicit Formulas ◽  
Theoretical Structure ◽  
Homfly Polynomials

HOMFLY Polynomials of Some Generalized Hopf Links

2000 ◽  
Vol 09 (07) ◽  
pp. 865-883 ◽  
Author(s):  
TAT-HUNG CHAN
Keyword(s):  
Explicit Formulas ◽  
Recurrence Equations ◽  
Homfly Polynomials ◽  
Hopf Links ◽  
Hopf Link

The Hopf link, consisting of two unknots wrapped around each other, is the simplest possible nontrivial link with more than one component. We can generalize it to two bundles of "parallel" unknots wrapped around each other. In this paper, we show that when one of the two bundles has a fixed side, the HOMFLY polynomials of the links satisfy a system of recurrence equations. This leads to a procedure for computing explicit formulas for the HOMFLY polynomials.

HOMFLY POLYNOMIALS OF ITERATIVE FAMILIES OF LINKS

2002 ◽  
Vol 11 (01) ◽  
pp. 1-12 ◽  
Author(s):  
TAT-HUNG CHAN
Keyword(s):  
Recurrence Relation ◽  
Linear Recurrence ◽  
Explicit Formulas ◽  
Linear Recurrence Relation ◽  
Homfly Polynomials ◽  
Homogeneous Linear ◽  
Torus Links

We show that if a family of oriented links obey an iterative pattern, their HOMFLY polynomials satisfy a homogeneous linear recurrence relation. The construction embodied in the proof is applied to derive explicit formulas for the HOMFLY polynomials of some iterative families, including the torus links {Tn,3}n≥0.

Effects of Ambipolar Diffusion on Prominence Thread Models

1994 ◽  
Vol 144 ◽  
pp. 315-321 ◽  
Author(s):  
M. G. Rovira ◽  
J. M. Fontenla ◽  
J.-C. Vial ◽  
P. Gouttebroze
Keyword(s):  
Energy Balance ◽  
Transition Region ◽  
Ambipolar Diffusion ◽  
Line Profiles ◽  
Balance Equations ◽  
Model Calculations ◽  
Partial Frequency ◽  
Frequency Redistribution ◽  
Partial Frequency Redistribution ◽  
Theoretical Structure

AbstractWe have improved previous model calculations of the prominence-corona transition region including the effect of the ambipolar diffusion in the statistical equilibrium and energy balance equations. We show its influence on the different parameters that characterize the resulting prominence theoretical structure. We take into account the effect of the partial frequency redistribution (PRD) in the line profiles and total intensities calculations.

DETERMINISTIC APPROACH TO WATERSHED MODELING

1971 ◽  
Vol 2 (3) ◽  
pp. 146-166 ◽  
Author(s):  
DAVID A. WOOLHISER
Keyword(s):  
Boundary Conditions ◽  
Watershed Modeling ◽  
Deterministic Approach ◽  
Mass Energy ◽  
Deterministic Models ◽  
Conservation Of Mass ◽  
Hydrologic Process ◽  
Theoretical Structure ◽  
Physically Based ◽  
Initial And Boundary Conditions

Physically-based, deterministic models, are considered in this paper. Physically-based, in that the models have a theoretical structure based primarily on the laws of conservation of mass, energy, or momentum; deterministic in the sense that when initial and boundary conditions and inputs are specified, the output is known with certainty. This type of model attempts to describe the structure of a particular hydrologic process and is therefore helpful in predicting what will happen when some change occurs in the system.

New family of Whitney numbers

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 309-320 ◽  
Author(s):  
B.S. El-Desouky ◽  
Nenad Cakic ◽  
F.A. Shiha
Keyword(s):  
Generating Functions ◽  
Recurrence Relations ◽  
Stirling Numbers ◽  
Explicit Formulas ◽  
Basic Properties ◽  
New Family ◽  
Whitney Numbers ◽  
Special Cases

In this paper we give a new family of numbers, called ??-Whitney numbers, which gives generalization of many types of Whitney numbers and Stirling numbers. Some basic properties of these numbers such as recurrence relations, explicit formulas and generating functions are given. Finally many interesting special cases are derived.

CORPORATE GOVERNANCE IN THE 19TH CENTURY: EVIDENCE FROM THE CHESAPEAKE AND OHIO CANAL COMPANY

2009 ◽  
Vol 36 (2) ◽  
pp. 113-137 ◽  
Author(s):  
Robert W. Russ ◽  
Gary John Previts ◽  
Edward N. Coffman
Keyword(s):  
Corporate Governance ◽  
19Th Century ◽  
Annual Report ◽  
Governance Structure ◽  
Review Committee ◽  
Corporate Governance Structure ◽  
Theoretical Structure ◽  
The 19Th Century ◽  
The U.S

Presenting evidence from a 19th century corporation, the Chesapeake and Ohio Canal Company (C&O), the paper shows that issues of corporate governance have existed since the first corporations were established in the U.S. The C&O used a stockholder review committee to review the annual report of the president and directors. The paper shows how the C&O stockholders used this committee to supplement the corporate governance structure. The corporate governance structure of the C&O is also viewed from a theoretical structure as espoused by Hart [1995].

On a generalization of the Rényi–Srivastava characterization of the Poisson law

2021 ◽  
Vol 58 (1) ◽  
pp. 68-82
Author(s):  
Jean-Renaud Pycke
Keyword(s):  
Life Insurance ◽  
Collective Model ◽  
New Method ◽  
Bell Polynomials ◽  
Explicit Formulas ◽  
Compound Distributions ◽  
Poisson Law ◽  
Pierre Loti

AbstractWe give a new method of proof for a result of D. Pierre-Loti-Viaud and P. Boulongne which can be seen as a generalization of a characterization of Poisson law due to Rényi and Srivastava. We also provide explicit formulas, in terms of Bell polynomials, for the moments of the compound distributions occurring in the extended collective model in non-life insurance.

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