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Analytic Solutions Of Functional Equations
  • Language: en
  • Pages: 296

Analytic Solutions Of Functional Equations

This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Polymer Crystallization II
  • Language: en
  • Pages: 303

Polymer Crystallization II

  • Type: Book
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  • Published: 2016-12-21
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  • Publisher: Springer

The series Advances in Polymer Science presents critical reviews of the present and future trends in polymer and biopolymer science. It covers all areas of research in polymer and biopolymer science including chemistry, physical chemistry, physics, material science. The thematic volumes are addressed to scientists, whether at universities or in industry, who wish to keep abreast of the important advances in the covered topics. Advances in Polymer Science enjoys a longstanding tradition and good reputation in its community. Each volume is dedicated to a current topic, and each review critically surveys one aspect of that topic, to place it within the context of the volume. The volumes typical...

Metaharmonic Lattice Point Theory
  • Language: en
  • Pages: 467

Metaharmonic Lattice Point Theory

  • Type: Book
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  • Published: 2011-05-09
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  • Publisher: CRC Press

Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of

Number Theory
  • Language: en
  • Pages: 1038

Number Theory

Monumental proceedings (very handsomely produced) of a major international conference. The book contains 74 refereed articles which, apart from a few survey papers of peculiar interest, are mostly research papers (63 in English, 11 in French). The topics covered reflect the full diversity of the current trends and activities in modern number theory: elementary, algebraic and analytic number theory; constructive (computational) number theory; elliptic curves and modular forms; arithmetical geometry; transcendence; quadratic forms; coding theory. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Polymer Morphology
  • Language: en
  • Pages: 472

Polymer Morphology

With a focus on structure-property relationships, this book describes how polymer morphology affects properties and how scientists can modify them. The book covers structure development, theory, simulation, and processing; and discusses a broad range of techniques and methods. • Provides an up-to-date, comprehensive introduction to the principles and practices of polymer morphology • Illustrates major structure types, such as semicrystalline morphology, surface-induced polymer crystallization, phase separation, self-assembly, deformation, and surface topography • Covers a variety of polymers, such as homopolymers, block copolymers, polymer thin films, polymer blends, and polymer nanocomposites • Discusses a broad range of advanced and novel techniques and methods, like x-ray diffraction, thermal analysis, and electron microscopy and their applications in the morphology of polymer materials

Indian Journal of Mathematics
  • Language: en
  • Pages: 338

Indian Journal of Mathematics

  • Type: Book
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  • Published: 1990
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  • Publisher: Unknown

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Mental Illnesses
  • Language: en
  • Pages: 496

Mental Illnesses

In the book "Mental Illnesses - Evaluation, Treatments and Implications" attention is focused on background factors underlying mental illness. It is crucial that mental illness be evaluated thoroughly if we want to understand its nature, predict its long-term outcome, and treat it with specific rather than generic treatment, such as pharmacotherapy for instance. Additionally, community-wide and cognitive-behavioral approaches need to be combined to decrease the severity of symptoms of mental illness. Unfortunately, those who should profit the most by combination of treatments, often times refuse treatment or show poor adherence to treatment maintenance. Most importantly, what are the implications of the above for the mental health community? Mental illness cannot be treated with one single form of treatment. Combined individual, community, and socially-oriented treatments, including recent distance-writing technologies will hopefully allow a more integrated approach to decrease mental illness world-wide.

Atlas and Gazetteer of the Near Side of the Moon
  • Language: en
  • Pages: 552
Polymer Crystallization
  • Language: en
  • Pages: 389

Polymer Crystallization

Control the development of polymer crystals with this groundbreaking introduction Polymer crystallization is a crucial component of polymer development that impacts processing, applications, presentation, and more. Intervention in the polymer crystallization process, in the form of nanofilters, compatibilizers, and more, has the potential to improve optical and chemical properties, improve degrees of crystallinity, and increase hardness of polymer composites. The myriad applications of crystalline polymers make this one of the most exciting and fast-growing fields in polymer research. Polymer Crystallization provides a comprehensive introduction to this field and its most important recent de...

Novel Insights into the Comorbidities and Mortality in Patients with Diabetes
  • Language: en
  • Pages: 144

Novel Insights into the Comorbidities and Mortality in Patients with Diabetes

Diabetes is a metabolic disorder of chronic hyperglycemia that causes numerous complications. The International Diabetes Federation and World Health Organization report that approximately 537 million people worldwide have diabetes in 2021, which may increase to 700 million by 2045. Diabetes and its complications significantly lower the quality of life of patients and cause more than 4 million deaths yearly. Diabetes and its complications also increase premature mortality, increasing society's economic burden. Numerous studies reveal that the chronic multisystem injury and dysfunction can be caused by diabetes, including cardiac and cerebral vascular lesions, nephropathy, retinopathy and neur...