To send content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about sending content to .
To send content items to your Kindle, first ensure firstname.lastname@example.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about sending to your Kindle.
Note you can select to send to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising connection between orthogonal polynomials and stochastic processes. This book gives a comprehensive analysis of the spectral representation of the most important one-dimensional Markov processes, namely discrete-time birth-death chains, birth-death processes and diffusion processes. It brings together the main results from the extensive literature on the topic with detailed examples and applications. Also featuring an introduction to the basic theory of orthogonal polynomials and a selection of exercises at the end of each chapter, it is suitable for graduate students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn about applications of their work to probability.
This work aimed to evaluate the effects of sire's and dam's biological type, dam's age class at calving and individual heterozygosis, and to estimate variance components for weaning weight adjusted to 210 days (WW210) in beef cattle of different breed groups. Records of 13 687 animals, obtained from 2000 to 2007, were used. Bulls from the biological types Zebu (N), Adapted (A), British (B), Continental (C) and ¼N|¼A|¼B|¼C were mated with purebred zebu (N) and crossbred females (½C|½N and ½B|½N). Dam age at calving was 3–12 years. The influence of several effects on WW210 was tested using the least square method. Variance component analysis was performed using a Bayesian approach. The model included contemporary group, dam's age class at calving, sire's and dam's biological types as systematic effects, animal's age and individual heterozygosis as linear covariates, and direct and maternal additive genetic, maternal permanent environmental and residual effects as random effects. The progeny of bulls from biological type B and the crossbred cows showed higher WW210 means. Cows at 6–7 years old weaned heavier calves. Direct and maternal heritability estimates for WW210 were 0.5 ± 0.04 and 0.1 ± 0.02, respectively. Calves with 100% individual heterozygosis weighed on average 25.98 kg more at weaning compared to progenies from pure breeds. Sire's and dam's biological types influence the WW210 of the crossed progenies. Crossbred cows produce heavier calves compared to biological type N cows. These results and the obtained direct and maternal heritabilities suggest it is possible to choose the lines of sires and dams that could be used to make the crosses to obtain progenies with better performance for WW210.
This chapter describes methods to detect and identify power system transmission line outages in near real time. These methods exploit statistical properties of the small random ﬂuctuations in electricity generation as well as energy demand to which a power system is subject to as time evolves. To detect and identify transmission line outages, a linearized incremental small-signal power system model is used in conjunction with high-speed synchronized voltage phase angle measurements obtained from phasor measurement units. By monitoring the statistical properties of voltage phase angle time-series, line outages are detected and identiﬁed using techniques borrowed from the theory of quickest change detection. Several case studies are considered for the cases of detecting and identifying single- and double-line outages in an accurate and timely fashion.
As an evolutionary lineage cycads are rare, and the extinction risk is high for many species. The genus Ceratozamia, one of the most diverse in Mexico, is experiencing drastic reductions of its habitat. Ceratozamia is widely distributed along the Sierra Madre Oriental, a complex mountain range, in a region characterized by high ecological and cultural diversity. Since 1990, various conservation and management strategies have been applied to this taxon in Mexico but evidence for the effectiveness of these measures is lacking. Ceratozamia in the Mexican Sierra Madre Oriental is highly diverse and endemic, offering a model for analysing geographical distribution patterns with ecological niche modelling. It also presents an opportunity for assessing the success of conservation and management strategies that have been implemented in this area. Here, we examined three aspects that are considered fundamental for the development and evaluation of conservation strategies: (1) taxonomy, (2) ecology and (3) sociocultural anthropology. Our findings suggest a pessimistic outlook for the long-term survival of Ceratozamia species in their natural environment, indicating the need to review the current IUCN Cycad Action Plan for the genus. To improve the protection of Ceratozamia and other taxonomic and/or ecological assemblages, we encourage a multidisciplinary approach, with increased collaboration between natural and social scientists.
The inevitable topicality of Iconoclasm. Iconoclasm in the work of the patriarch Photios. Photios and the iconodule patriarchs: Tarasios, Nikephoros, and Methodios. Photios, his family, and their presence in the literature on Iconoclasm. The epistles of Photios and the new orthodox discourse. The milieu of Photios: The interpolation of the vita of Georgios of Amastris. The vita of Michael Synkellos and the Monastery of Chora. Theophanes of Caesarea and his enkomion of Theodoros Graptos. Georgios of Nikomedeia. The monk and philosopher Nikephoros. The 42 martyrs of Amorion again: Sophronios and Euodios. The Acta of David, Symeon and Georgios (BHG 494).
The literary production of Theodoros Stoudites. The Laudatio of Theoktiste (BHG 2422). The Laudatio of Platon of Sakkoudion (BHG 1553). The Enkomion of Theophanes of Sigriane (BHG 1792b). Other hagiographical compositions by Theodoros Stoudites: honouring members of the Stoudite federation, honouring non-Stoudite iconophile monks and Verse compositions. Promoting veneration of Theodoros Stoudites: the Vitae. First texts in honour of Theodoros Stoudites. The Vitae of Theodoros Stoudites. Sanctification of other members of the Stoudite Milieu: the hegoumenoi of Tarasios. Ioseph of Thessaloniki. The hegoumenoi of Medikion. Makarios of Pelekete.
The aristocratic milieu: Hagiography and aristocracy in the early ninth century: Philaretos and Eudokimos. Aristocratic models of feminine holiness (ninth-tenth centuries). The political meaning of the new aristocratic saint: imperial ideology. The military milieu. The court milieu: the family and collaborators of Theophilos in post-iconoclast hagiography. The court of Theophilos and its post-iconoclast reinvention. The family of Theophilos and Theodora. The imperial couple in post-iconoclast hagiography: Theophilos and Theodora
The hagiographer Sabas, from the Bithynian Olympos to the Constantinopolitan Milieux. Youth in Bithynia and first vita of Petros of Atroa (BHG 2364). The vita of Ioannikios (BHG 935). Sabas’ monastic days and Bithynian heremitic life. The Vita retractata of Petros of Atroa (BHG 2365). Transfer to Constantinople: The vita of Hilarion of Dalmatos (BHG 2177), The vita of the patriarch Methodios (BHG 1278). Conclusions.
Life and works of Gregorios Dekapolites. The Testimony of the Vita Gregorii Decapolitae (BHG 711) . The Milieu of Gregorios Dekapolites. The archimandrites Symeon and the monastic family. The disciples of Gregorios Dekapolites: Ioseph Hymnographos, The Dekapolitan family network. Links between the literary circle of Gregorios Dekapolites and other iconodule milieux.