A derivation of the ballot theorem from the Spitzer–Pollaczek identity

1969 ◽  
Vol 65 (3) ◽  
pp. 755-757 ◽  
Author(s):  
C. C. Heyde

Over a period of many years there has developed an extensive literature on ballot problems. These, in effect, constitute a very special class of random walk problems, and their recent continued development has been justified by the apparent difficulty of reducing expressions given by the general theory down to the very simple ones that it is possible to obtain in an elementary fashion. In this short note we show that the obstacle presented by this reduction problem is actually a rather small one. For background to the above comments, together with a fairly comprehensive list of references to the ballot theory and its attendant applications, the reader is referred to Takács(2).

Energies ◽  
2020 ◽  
Vol 13 (13) ◽  
pp. 3479 ◽  
Author(s):  
Mehdi Hosseinzadeh ◽  
Farzad Rajaei Salmasi

This paper provides an overview of islanding fault detection in microgrids. Islanding fault is a condition in which the microgrid gets disconnected from the microgrid unintentionally due to any fault in the utility grid. This paper surveys the extensive literature concerning the development of islanding fault detection techniques which can be classified into remote and local techniques, where the local techniques can be further classified as passive, active, and hybrid. Various detection methods in each class are studied, and advantages and disadvantages of each method are discussed. A comprehensive list of references is used to conduct this survey, and opportunities and directions for future research are highlighted.


1969 ◽  
Vol 7 (2) ◽  
pp. 334-337
Author(s):  
René V. L. Wadlow

Malagasy literary output and books about the Republic have already been dealt with in a bibliography of major importance, by Guillaume Grandidier, Bibliographie de Madagascar, vols. I and n (Paris, 1905-6 and 1935), vol. in (Tananarive, 1957), and vol. iv (in preparation). Since 1964 the national and university libraries have been working jointly on an annual bibliography, of which two volumes, for 1964 and 1965, have been published (Tananarive, 1967 and 1968). This short note does not aim to offer a complete bibliographical survey, but to provide for cultivated English-speakers a short but comprehensive list of non-specialised publications which would enable the ‘common reader’ to acquire a respectable knowledge of Madagascar.


1969 ◽  
Vol 7 (2) ◽  
pp. 337-342
Author(s):  
Jean Valette

Malagasy literary output and books about the Republic have already been dealt with in a bibliography of major importance, by Guillaume Grandidier, Bibliographie de Madagascar, vols. I and II (Paris, 1905–6 and 1935), vol. III (Tananarive, 1957), and vol. IV (in preparation). Since 1964 the national and university libraries have been working jointly on an annual bibliography, of which two volumes, for 1964 and 1965, have been published (Tananarive, 1967 and 1968). This short note does not aim to offer a complete bibliographical survey, but to provide for cultivated English-speakers a short but comprehensive list of non-specialised publications which would enable the ‘common reader’ to acquire a respectable knowledge of Madagascar.


1965 ◽  
Vol 8 (1) ◽  
pp. 33-37 ◽  
Author(s):  
T. G. McLaughlin

Since the solution of Post' s Problem by Friedberg and Muchnik, a good deal of abstract knowledge about the semilattice of recursively enumerable degrees has been developed, especially in recent papers of G. E. Sacks. In this note, we show that one specific class of simple sets contains only sets of degree 0'; no contribution to the general theory is claimed. One of the sets belonging to the special class considered is the original simpie-but-not-hypersimple S of Post [1]. According to information received from Sacks, J. R. Myhill gave a proof, in 1953, of the completeness of S. However, as far as we know, Myhill' s proof (presented in a seminar) does not exist in published form.


Author(s):  
Daisy Mathur Jain

Information Technology (IT) is an ever-growing industry. It, therefore, becomes imperative to understand what it entails, the key parties involved, and their relationship, along with the various risks involved. This chapter aims to delve into the underlying concept of service in the IT industry, the service receiver (client) and the service provider (vendor), which are the key parties, and the risks involved by taking a look at the main prevalent outsourcing models. Further, it nails out the major factors that can contribute in building a lasting relationship between the client and vendor. Through extensive literature review, it is observed that several studies have focused on the risks faced by service receivers, but there are very few that mention the risks that service providers also face. This chapter examines both aspects and aims to uncover the risks that service receivers and service providers face in outsourcing engagements. In addition, many articles talk about factors involved in building client-vendor relationship; however, they lack a comprehensive list of factors that, if taken care of, can lead to successful client vendor engagements. This chapter gives a comprehensive view of the main aspects of the IT industry covering the concept of service in IT Industry, the key parties, and the risks along with aspects that build into successful client vendor relationships.


2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.


2020 ◽  
Vol 43 ◽  
Author(s):  
Valerie F. Reyna ◽  
David A. Broniatowski

Abstract Gilead et al. offer a thoughtful and much-needed treatment of abstraction. However, it fails to build on an extensive literature on abstraction, representational diversity, neurocognition, and psychopathology that provides important constraints and alternative evidence-based conceptions. We draw on conceptions in software engineering, socio-technical systems engineering, and a neurocognitive theory with abstract representations of gist at its core, fuzzy-trace theory.


Author(s):  
Richard B. Mott ◽  
John J. Friel ◽  
Charles G. Waldman

X-rays are emitted from a relatively large volume in bulk samples, limiting the smallest features which are visible in X-ray maps. Beam spreading also hampers attempts to make geometric measurements of features based on their boundaries in X-ray maps. This has prompted recent interest in using low voltages, and consequently mapping L or M lines, in order to minimize the blurring of the maps.An alternative strategy draws on the extensive work in image restoration (deblurring) developed in space science and astronomy since the 1960s. A recent example is the restoration of images from the Hubble Space Telescope prior to its new optics. Extensive literature exists on the theory of image restoration. The simplest case and its correspondence with X-ray mapping parameters is shown in Figures 1 and 2.Using pixels much smaller than the X-ray volume, a small object of differing composition from the matrix generates a broad, low response. This shape corresponds to the point spread function (PSF). The observed X-ray map can be modeled as an “ideal” map, with an X-ray volume of zero, convolved with the PSF. Figure 2a shows the 1-dimensional case of a line profile across a thin layer. Figure 2b shows an idealized noise-free profile which is then convolved with the PSF to give the blurred profile of Figure 2c.


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