From an established writer of empowering literature comes a first fictional collection - of transformational power. Drawing on N. European folklore rather than Greek myth or male-interpreted fairy tales, these are the original feminist voices. Sharing revenge and rebirth, capturing love and shaking off the past, changing the elements and shedding skins, they are heroines all. Each shapeshifting woman has an extraordinary story of change and survival to tell, and each story is born out of a regional folk tale, from Iceland to Ireland, Scotland to Scandanavia, Croatia to Cornwall.
The stunning final novel in barbara campbell?s powerful debut fantasy series Years after their exile, legendary hero Darak and his wife Griane have founded their own tribe and raised four children. A rebel force, led by Darak?s own daughter, seeks to recruit him to their cause. But the greatest danger comes from their youngest son, R igat?actually sired by the Trickster God...
Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu man thinking wherever logical or mathematical reasoning about cer tain hierarchical structures is involved. Order-theoretically, a Galois connection is given simply by two opposite order-inverting (or order preserving) maps whose composition yields two closure operations (or one closure and one kernel operation in the order-preserving case). Thus, the "hierarchies" in the two opposite worlds are reversed or transported when passing to the other world, and going forth and back becomes a stationary process when iterated. The advantage of such an "adjoint situation" is that information about objects and relationships in one of the two worlds may be used to gain new information about the other world, and vice versa. In classical Galois theory, for instance, properties of permutation groups are used to study field extensions. Or, in algebraic geometry, a good knowledge of polynomial rings gives insight into the structure of curves, surfaces and other algebraic vari eties, and conversely. Moreover, restriction to the "Galois-closed" or "Galois-open" objects (the fixed points of the composite maps) leads to a precise "duality between two maximal subworlds".
This monograph presents a systematic, exhaustive and up-to-date overview of formal methods and theories for data analysis and inference inspired by the concept of rough set. Throughout, Demri studies structures with incomplete information from the logical, algebraic and computational perspective. The formalisms developed are non-invasive in that only the actual information that is needed in the process of analysis without external sources of information being required. The book is self-contained to a large degree, providing detailed derivations of most of the technical results, and is intended for researchers, lecturers and graduate students.