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For dynamical systems with the shadowing property, we provide a method of approximation of invariant measures by ergodic measures supported on odometers and their almost 1-1 extensions. For a topologically transitive system with the shadowing property, we show that ergodic measures supported on odometers are dense in the space of invariant measures, and then ergodic measures are generic in the space of invariant measures. We also show that for every $c\geq 0$ and $\varepsilon>0$ the collection of ergodic measures (supported on almost 1-1 extensions of odometers) with entropy between $c$ and $c + \varepsilon$ is dense in the space of invariant measures with entropy at least $c$. Moreover, if in addition the entropy function is upper semi-continuous, then for every $c\geq 0$ ergodic measures with entropy $c$ are generic in the space of invariant measures with entropy at least $c$.

Published between 1833 and 1841, the 90 Tracts were written by various members of "The Oxford Movement". They cover various aspects of Anglo-Catholic doctrine and other theological matters. The lead was taken by John Henry Newman (who made the largest contribution), but several other churchmen associated with Oxford University were also involved, among them John Keble, Hurrell Froude, and Edward Pusey. Among the newly written tracts were also re-prints of works from previous generations. The Tracts are of various lengths, ranging from a few pages to book-length works. The format and cheap prices, meant that the Tracts were widely disseminated. Volumes 1 and 2 also had new translations of the works of the early Fathers of the church appended to the end.<br><br> Volume 1 contains Tracts 1 to 46, along with 18 "Records of the Church". These last include all the extant epistles of St. Ignatius, alongside works by Justin Martyr, Irenæus, Clement of Alexandria, and Tertullian. Four accounts of martyrdoms and a tale of St. John round out the collection. (Summary by Beeswaxcandle)

That Family-prayer is an indispensible duty, and an important means of religion, are points which are here taken for granted. Among the many excuses commonly urged for the omission of this duty one of the most frequent is, the want of ability or courage to pray, in the presence of others. Where this is the case, the most natural and effectual answer is "Make use of forms." The lawfulness and expediency of so doing, I shall not attempt to prove. It has been admitted by the best of our divines, several of whom have published forms of devotion for the use of families. It is a happiness that we have so many volumes of family-prayers, both by Churchmen and Dissenters, suited to the different tastes and sentiments of different persons. There is yet, however, room for more, as variety is pleasing and edifying. The occasional prayers are new compositions, which are adapted to the most common occurrences, and which may easily be altered as circumstances vary. In all, great attention has been paid to plainness and simplicity, both, of thought and expression. - Summary by Extracted from Preface

3English Lakes

By William T. Palmer

An exhaustive and illustrative book explaining the locations as well as descriptions of the lakes of England. Almost like reading a journey, the author takes you through a journey around England, giving depictions of the general western hemisphere and the lakes around. - Summary by Elijah