Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
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This article is published in The Mathematical Gazette.The article was published on 1955-09-01. It has received 1969 citations till now. The article focuses on the topics: Singular integral.read more
Citations
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Book ChapterDOI
The mathematical theory of equilibrium cracks in brittle fracture
TL;DR: In this paper, the authors present a unified view of the way basic problems in the theory of equilibrium cracks are formulated and discuss the results obtained thereby, and the object of the theory is the study of the equilibrium of solids in the presence of cracks.
Journal ArticleDOI
On the numerical solution of singular integral equations
Fazil Erdogan,G. D. Gupta +1 more
TL;DR: In this paper, a pair of Gauss-Chebyshev integration formulas for singular integrals are developed and a simple numerical method for solving a system of singular integral equations is described.
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Effects of reconnection on the coronal mass ejection process
J. Lin,T. G. Forbes +1 more
TL;DR: In this paper, the authors investigated how magnetic reconnection affects the acceleration of coronal mass ejections (CMEs) and how the acceleration in turn affects the reconnection pro-cess.
Journal ArticleDOI
Entanglement entropy in free quantum field theory
Horacio Casini,Marina Huerta +1 more
TL;DR: In this paper, the authors introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real-time formalisms, and describe the particular examples which have been worked out explicitly in two, three and more dimensions.
Journal ArticleDOI
The modified plasma dispersion function
Danny Summers,Richard M. Thorne +1 more
TL;DR: The modified plasma dispersion function (MPDF) as mentioned in this paper is based on the generalized Lorentzian (kappa) particle distribution function, and a comprehensive set of graphs of the real and imaginary parts of the MPDF is presented.
References
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Book ChapterDOI
The mathematical theory of equilibrium cracks in brittle fracture
TL;DR: In this paper, the authors present a unified view of the way basic problems in the theory of equilibrium cracks are formulated and discuss the results obtained thereby, and the object of the theory is the study of the equilibrium of solids in the presence of cracks.
Journal ArticleDOI
On the numerical solution of singular integral equations
Fazil Erdogan,G. D. Gupta +1 more
TL;DR: In this paper, a pair of Gauss-Chebyshev integration formulas for singular integrals are developed and a simple numerical method for solving a system of singular integral equations is described.
Journal ArticleDOI
Effects of reconnection on the coronal mass ejection process
J. Lin,T. G. Forbes +1 more
TL;DR: In this paper, the authors investigated how magnetic reconnection affects the acceleration of coronal mass ejections (CMEs) and how the acceleration in turn affects the reconnection pro-cess.
Journal ArticleDOI
Entanglement entropy in free quantum field theory
Horacio Casini,Marina Huerta +1 more
TL;DR: In this paper, the authors introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real-time formalisms, and describe the particular examples which have been worked out explicitly in two, three and more dimensions.
Journal ArticleDOI
The modified plasma dispersion function
Danny Summers,Richard M. Thorne +1 more
TL;DR: The modified plasma dispersion function (MPDF) as mentioned in this paper is based on the generalized Lorentzian (kappa) particle distribution function, and a comprehensive set of graphs of the real and imaginary parts of the MPDF is presented.