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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).
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