To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked.

The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few. "

Embark on a visually stunning journey through Cape Town and experience the spirit of the Mother City first-hand! Cape Town rates as one of the most beautiful cities worldwide - and rightly so. Situated between two oceans and a massive mountain, the Mother City close to the Cape of Good Hope unites urban flair and countryside idyll. But it's not just Cape Town's location that is unique: the potpourri of cultures and a fascinating melange of old and new make the metropolis at Africa's southern tip so special. This illustrated book captures the diversity in exciting pairs and takes you directly to Cape Town's sights and most interesting places. Expert texts and large-format photos arouse wanderlust and curiosity about the city at the foot of the Table Mountain and inspire even locals to go on discovery tours. Like no other, Alain Proust portrays the different faces of his home of choice. With impressive landscape photos and panoramas he shows the beauty of nature, takes a look at the streets, the alleys and the people of Cape Town. With artistic sensitivity and an extraordinary sense for detail he captures social differences as well as the colours and flavours of South African cuisine. Text in English and German.

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.

This book proposes a theory of the distribution of adverbial adjuncts in a Principles and Parameters framework, claiming that there are few syntactic principles specific to adverbials; rather, for the most part, adverbials adjoin freely to any projection. Adjuncts' possible hierarchical positions are determined by whether they can receive a proper interpretation, according to their selectional (including scope) requirements and general compositional rules, while linear order is determined by hierarchical position along with a system of directionality principles and morphological weight, both of which apply generally to adjuncts and all other syntactic elements. A wide range of adverbial types is analysed; predicational adverbs (such as manner, and modal adverbs), domain expressions like financially, temporal, frequency, duration and focusing adverbials; participant PPs (e.g. locatives and benefactives); resultative and conditional clauses, and others, taken primarily from English, Chinese, French and Italian, with occasional reference to others (such as German and Japanese).

This book proposes a theory of the distribution of adverbial adjuncts in a Principles and Parameters framework, claiming that there are few syntactic principles specific to adverbials; rather, for the most part, adverbials adjoin freely to any projection. A wide range of adverbial types is analyzed; predicational adverbs (such as manner, and modal adverbs), domain expressions such as financially, temporal, frequency, duration, and focusing adverbials; participant PP's (e.g. locatives and benefactives); resultative and conditional clauses, and others, taken primarily from English, Chinese, French, and Italian, with occasional reference to others (such as German and Japanese).