scholarly journals “Sixth root of unity” and Feynman diagrams: hypergeometric function approach point of view

2010 ◽  
Vol 205-206 ◽  
pp. 129-134 ◽  
Author(s):  
M.Yu. Kalmykov ◽  
B.A. Kniehl
Keyword(s):  
Hypergeometric Function ◽  
Point Of View ◽  
Feynman Diagrams ◽  
Function Approach ◽  
Root Of Unity

An Analysis of Restaurant Characteristics and Meal Prices in Melbourne, Australia

1996 ◽  
Vol 2 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Pemasiri J. Gunawardana ◽  
Inka I. Havrila
Keyword(s):  
Investment Decisions ◽  
Marketing Strategies ◽  
Point Of View ◽  
Function Approach ◽  
Hedonic Price ◽  
Short Term ◽  
Hedonic Price Function ◽  
Price Functions ◽  
Restaurant Meals

This paper applies the hedonic price function approach to identify and estimate the variations in meal prices according to various characteristics of a sample of restaurants in Melbourne, Australia. The estimated hedonic price functions have important implications for restaurant marketing strategies and provide useful information to customers, and may serve to improve the efficiency in the market for restaurant dining. From the point of view of restaurant operators, the results indicate how short-term and long-term investment decisions may be made to impart particular characteristics. From the perspective of customers, the results provide information on price premia and discounts for restaurant meals according to each of the characteristics, including locations.

scholarly journals An Elliptic Hypergeometric Function Approach to Branching Rules

2020 ◽  
Author(s):  
Chul-hee Lee ◽  
◽  
Eric M. Rains ◽  
S. Ole Warnaar ◽  
◽  
...  
Keyword(s):  
Hypergeometric Function ◽  
Function Approach ◽  
Hypergeometric Integrals ◽  
Branching Rules ◽  
Elliptic Hypergeometric Function ◽  
Elliptic Hypergeometric Integrals

We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose some conjectural branching rules and allied conjectures exhibiting a novel type of vanishing behaviour involving partitions with empty 2-cores.

scholarly journals PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS

1992 ◽  
Vol 07 (23) ◽  
pp. 2129-2141 ◽  
Author(s):  
A. T. FILIPPOV ◽  
A. P. ISAEV ◽  
A. B. KURDIKOV
Keyword(s):  
Differential Operator ◽  
Quantum Groups ◽  
Natural Generalization ◽  
Point Of View ◽  
Algebraic Point ◽  
Root Of Unity ◽  
Deformation Parameters ◽  
One And Many

Paragrassmann algebras with one and many paragrassmann variables are considered from the algebraic point of view without using the Green ansatz. A differential operator with respect to paragrassmann variable and a covariant para-super-derivative are introduced giving a natural generalization of the Grassmann calculus to a paragrassmann one. Deep relations between paragrassmann algebras and quantum groups with deformation parameters being root of unity are established.

scholarly journals Controlling Power Consumption in a Heterogeneous Population Model of TCLs with Diffusion: The Green’s Function Approach

Mathematics ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 523
Author(s):  
Md Musabbir Hossain ◽  
Asatur Zh. Khurshudyan
Keyword(s):  
Power Consumption ◽  
Green’S Function ◽  
Green's Function ◽  
Approximate Controllability ◽  
Operation Time ◽  
Threshold Value ◽  
Heterogeneous Population ◽  
Point Of View ◽  
Function Approach ◽  
Initial Temperature Distribution

We consider a control problem for a diffusive PDE model of heterogeneous population of thermostatically controlled loads (TCLs) aiming to balance the aggregate power consumption within a given amount of time. Using the Green’s function approach, the problem is formulated as an approximate controllability problem for a residue depending on control parameters nonlinearly. A sufficient condition for approximate controllability is derived in terms of initial temperature distribution, operation time of TCLs and threshold value of the aggregate power consumption. Case studies allow to reveal the advantages of the proposed solution from numerical calculations point of view.

scholarly journals A Note on Natural Transformation of Exton’s Triple Series Hypergeometric Function

2020 ◽  
Vol 1 ◽  
pp. 77-84
Author(s):  
Harsh Verdhan Harsh ◽  
Puneet Krishna Sharma ◽  
Shabana Khan
Keyword(s):  
Laplace Transform ◽  
Hypergeometric Function ◽  
Hypergeometric Functions ◽  
Natural Transformation ◽  
Integral Transform ◽  
Point Of View ◽  
Research Note ◽  
Research Purpose ◽  
Integral Transform Technique

Triple series hypergeometric functions are very important from the applications point of view. Exton had defined 20 triple hypergeometric functions namely X1 , X2 , … , X20. Integral transform technique is widely using for research purpose. Natural transform is a new kind of integral transform and generalization of Laplace transform. In the present research note, we give the Natural integrals of the triple series hypergeometric function due to Exton.

The Geosciences Applied to Lunar Exploration

1962 ◽  
Vol 14 ◽  
pp. 169-257 ◽  
Author(s):  
J. Green
Keyword(s):  
Lunar Surface ◽  
Probable Mechanism ◽  
Point Of View ◽  
Lunar Exploration ◽  
Geological Model ◽  
Apply Geophysics ◽  
Surface Features ◽  
The Impact

The term geo-sciences has been used here to include the disciplines geology, geophysics and geochemistry. However, in order to apply geophysics and geochemistry effectively one must begin with a geological model. Therefore, the science of geology should be used as the basis for lunar exploration. From an astronomical point of view, a lunar terrain heavily impacted with meteors appears the more reasonable; although from a geological standpoint, volcanism seems the more probable mechanism. A surface liberally marked with volcanic features has been advocated by such geologists as Bülow, Dana, Suess, von Wolff, Shaler, Spurr, and Kuno. In this paper, both the impact and volcanic hypotheses are considered in the application of the geo-sciences to manned lunar exploration. However, more emphasis is placed on the volcanic, or more correctly the defluidization, hypothesis to account for lunar surface features.

How a sheperd guides a sheep herd?

1984 ◽  
Vol 75 ◽  
pp. 331-337
Author(s):  
Richard Greenberg
Keyword(s):  
Point Of View ◽  
Single Ring ◽  
Damping Effects ◽  
Ring Particle

ABSTRACTThe mechanism by which a shepherd satellite exerts a confining torque on a ring is considered from the point of view of a single ring particle. It is still not clear how one might most meaningfully include damping effects and other collisional processes into this type of approach to the problem.

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