Analytic formula forB(E2) values in even-even nuclei withA>60

1991 ◽  
Vol 43 (5) ◽  
pp. 2279-2283 ◽  
Author(s):  
A. Wolf ◽  
O. Scholten ◽  
R. F. Casten
Keyword(s):  
Analytic Formula

An Analytic Formula for the Delta of Variance Swap

2008 ◽  
Author(s):  
Benoit Coulombe ◽  
Alexander Marini ◽  
Ararat Yesayan
Keyword(s):  
Analytic Formula ◽  
Variance Swap

scholarly journals On a class of analytic functions related to Robertson’s formula and subordination

2021 ◽  
Vol 27 (1) ◽  
Author(s):  
Adam Lecko ◽  
Gangadharan Murugusundaramoorthy ◽  
Srikandan Sivasubramanian
Keyword(s):  
Integral Representation ◽  
Analytic Functions ◽  
Boundary Point ◽  
Unit Disc ◽  
Starlike Functions ◽  
Analytic Formula ◽  
Growth Theorem

AbstractIn this paper, we define and study a class of analytic functions in the unit disc by modification of the well-known Robertson’s analytic formula for starlike functions with respect to a boundary point combined with subordination. An integral representation and growth theorem are proved. Early coefficients and the Fekete–Szegö functional are also estimated.

scholarly journals Modelling fatality curves of COVID-19 and the effectiveness of intervention strategies

PeerJ ◽  
2020 ◽  
Vol 8 ◽  
pp. e9421 ◽  
Author(s):  
Giovani L. Vasconcelos ◽  
Antônio M.S. Macêdo ◽  
Raydonal Ospina ◽  
Francisco A.G. Almeida ◽  
Gerson C. Duarte-Filho ◽  
...  
Keyword(s):  
Growth Model ◽  
Intervention Strategies ◽  
Analytic Formula ◽  
The Other ◽  
Cumulative Number ◽  
Window Of Opportunity ◽  
Intervention Model ◽  
Growth Regime ◽  
Johns Hopkins University ◽  
Richards Growth Model

The main objective of the present article is twofold: first, to model the fatality curves of the COVID-19 disease, as represented by the cumulative number of deaths as a function of time; and second, to use the corresponding mathematical model to study the effectiveness of possible intervention strategies. We applied the Richards growth model (RGM) to the COVID-19 fatality curves from several countries, where we used the data from the Johns Hopkins University database up to May 8, 2020. Countries selected for analysis with the RGM were China, France, Germany, Iran, Italy, South Korea, and Spain. The RGM was shown to describe very well the fatality curves of China, which is in a late stage of the COVID-19 outbreak, as well as of the other above countries, which supposedly are in the middle or towards the end of the outbreak at the time of this writing. We also analysed the case of Brazil, which is in an initial sub-exponential growth regime, and so we used the generalised growth model which is more appropriate for such cases. An analytic formula for the efficiency of intervention strategies within the context of the RGM is derived. Our findings show that there is only a narrow window of opportunity, after the onset of the epidemic, during which effective countermeasures can be taken. We applied our intervention model to the COVID-19 fatality curve of Italy of the outbreak to illustrate the effect of several possible interventions.

scholarly journals Structure Optimization of UHV RIP Oil-SF6 bushings Based on Improved Equal Margin Design Method and Back-Propagation Neural Network

2021 ◽  
Vol 261 ◽  
pp. 03040
Author(s):  
Zhang Shiling
Keyword(s):  
Field Distribution ◽  
Optimization Design ◽  
Design Method ◽  
Back Propagation ◽  
Back Propagation Neural Network ◽  
Analytic Formula ◽  
Optimized Design ◽  
Thermal Coupling ◽  
Coupling Calculation ◽  
Temperature Factors

Equal margin design method based on the classic analytic formula is widely used in development of extra-high voltage bushing products, and its effectiveness and practicality have been fully validated. However, model and temperature factors have significant impact on internal E-field distribution of UHVAC and UHVDC bushing condenser, which traditional analytic formula is difficult to evaluate quantitatively, so it’s necessary to improve traditional equal margin design method. Firstly, basic principles of equal margin design method and its software package were briefly described, and the laws of model and temperature factors influencing on condenser E-field were investigated on FEM (finite element method) computing platform. Based on these, mathematical model of improved equal margin design method for bushing condenser was established, and flow chart of optimization process combining FEM electro-thermal coupling calculation with genetic algorithm was presented. The improved method was applied to design of UHV RIP oil-gas prototype to realize uniform axial E-field distribution along bushing condenser and equal partial discharge margin between adjacent foils. Bushing condenser was fabricated according to above optimized design structure, and has passed all type tests. In the paper, the FEM electro-thermal coupling calculation method was applied to the inner insulation optimization design to make bushing condenser’s design more suitable. The paper can provide some theoretical guidelines for research and development of other bushings in UHV level.

COMBINATORIAL APPROACH TO COMPUTING COMPONENT IMPORTANCE INDEXES IN COHERENT SYSTEMS

2011 ◽  
Vol 26 (1) ◽  
pp. 117-128 ◽  
Author(s):  
Ilya B. Gertsbakh ◽  
Yoseph Shpungin
Keyword(s):  
System Reliability ◽  
Simple Formula ◽  
Analytic Formula ◽  
Importance Measure ◽  
Coherent Systems ◽  
Joint Reliability ◽  
Component Importance ◽  
Definition Of ◽  
Combinatorial Parameter ◽  
Combinatorial Representation

We consider binary coherent systems with independent binary components having equal failure probability q. The system DOWN probability is expressed via its signature's combinatorial analogue, the so-called D-spectrum. Using the definition of the Birnbaum importance measure (BIM), we introduce for each component a new combinatorial parameter, so-called BIM-spectrum, and develop a simple formula expressing component BIM via the component BIM-spectrum. Further extension of this approach allows obtaining a combinatorial representation for the joint reliability importance (JRI) of two components. To estimate component BIMs and JRIs, there is no need to know the analytic formula for system reliability. We demonstrate how our method works using the Monte Carlo approach. We present several examples of estimating component importance measures in a network when the DOWN state is defined as the loss of terminal connectivity.

scholarly journals HARD-POMERON BEHAVIOR OF THE LONGITUDINAL STRUCTURE FUNCTION FL IN THE NEXT-TO-LEADING ORDER AT LOW x

2009 ◽  
Vol 18 (01) ◽  
pp. 131-140 ◽  
Author(s):  
G. R. BOROUN
Keyword(s):  
Perturbation Theory ◽  
Structure Function ◽  
Perturbative Qcd ◽  
Gluon Distribution ◽  
Analytic Formula ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function ◽  
Low X

We present an analytic formula to extract the longitudinal structure function in the next-to-leading order of the perturbation theory at low x, from the Regge-like behavior of the gluon distribution and the structure function at this limit. In this approach, the longitudinal structure function has the hard-Pomeron behavior. The determined values are compared with the H1 data and MRST model. All results can consistently be described within the framework of perturbative QCD, which essentially show increases as x decreases.

scholarly journals Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type

2002 ◽  
Vol 43 (3) ◽  
pp. 429-447 ◽  
Author(s):  
Miodrag M. Spalević
Keyword(s):  
Numerical Method ◽  
Quadrature Formula ◽  
Spline Function ◽  
Finite Interval ◽  
Analytic Formula ◽  
Numerical Results ◽  
Quadrature Formulae

AbstractA numerical method for calculation of the generalized Chakalov-Popoviciu quadrature formulae of Radau and Lobatto type, using the results given for the generalized Chakalov-Popoviciu quadrature formula, is given. Numerical results are included. As an application we discuss the problem of approximating a function f on the finite interval I = [a, b] by a spline function of degree m and variable defects dv, with n (variable) knots, matching as many of the initial moments of f as possible. An analytic formula for the coefficients in the generalized Chakalov-Popoviciu quadrature formula is given.

scholarly journals Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nikolai D. Botkin ◽  
Andrey E. Kovtanyuk ◽  
Varvara L. Turova ◽  
Irina N. Sidorenko ◽  
Renée Lampe
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Numerical Simulations ◽  
Hydraulic Resistance ◽  
Analytic Formula ◽  
Finite Element Simulations ◽  
Hematocrit Level ◽  
Capillary Networks ◽  
Cerebral Capillary ◽  
Flow Through

The aim of this paper consists in the derivation of an analytic formula for the hydraulic resistance of capillaries, taking into account the tube hematocrit level. The consistency of the derived formula is verified using Finite Element simulations. Such an effective formula allows for assigning resistances, depending on the hematocrit level, to the edges of networks modeling biological capillary systems, which extends our earlier models of blood flow through large capillary networks. Numerical simulations conducted for large capillary networks with random topologies demonstrate the importance of accounting for the hematocrit level for obtaining consistent results.

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