Mutational And Morphological Analysis
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Author | : Jean-Pierre Aubin |
Publisher | : Springer Science & Business Media |
Total Pages | : 460 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461215765 |
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.
Author | : Jean-Pierre Aubin |
Publisher | : Springer Science & Business Media |
Total Pages | : 472 |
Release | : 1998-12-01 |
Genre | : Mathematics |
ISBN | : 9780817639358 |
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.
Author | : Wolfgang U. Dressler |
Publisher | : John Benjamins Publishing |
Total Pages | : 278 |
Release | : 2000-01-01 |
Genre | : Language Arts & Disciplines |
ISBN | : 9789027237088 |
This volume consists of selected and revised papers from the Seventh International Morphology Meeting, held in 1996 in Vienna. It presents advances in morphological theorizing, such as the foundations of sign-based morphology, the morphology-syntax interface, the boundaries between compounding and derivation, derivation and inflection, and the emergence of morphology from premorphological precursors in early first-language acquisition. The contributions deal with morphological analyses in various fields of the ever-widening domain of morphology and its relevance to the lexicon. The comparative aspect is reflected in the above-mentioned areas, and through the variety of languages investigated: Indo-European and non-Indo-European languages of Europe, and Asian, African and American languages. This breadth allows valuable insights into current problems of morphological research in America, Western and Eastern Europe.
Author | : Jean-Pierre Aubin |
Publisher | : Springer Science & Business Media |
Total Pages | : 474 |
Release | : 2009-03-02 |
Genre | : Science |
ISBN | : 0817648488 |
"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math
Author | : Degif Petros Banksira |
Publisher | : John Benjamins Publishing |
Total Pages | : 366 |
Release | : 2000-10-20 |
Genre | : Language Arts & Disciplines |
ISBN | : 9027298475 |
This monograph, which evolved from the first linguistic dissertation to be written on Chaha (an Ethiopian Semitic language), is also the first book to deal exclusively with the phonology and morphology of the language. It is an exhaustive description and analysis, by a native speaker, of the sound patterns of this often misdescribed language and deserves to be the standard reference on the phonology of Chaha. The book presents a vast amount of new data and it unearths some fascinating new generalizations about double linking, geminate devoicing, nasalization of liquid consonants, phonotactic constraints within morphemes, and palatalization and labialization triggered by decomposition of a single back high round vowel. The book also challenges the categorization of Semitic subject affixes into prefix and suffix sets, instead proposing a novel classification in which all prefixes and some suffixes form a set that excludes the remaining suffixes. The generalizations and analyses are significant not only for the study of Chaha and Semitic languages, but also for phonological theory in general.
Author | : Paul Bourgine |
Publisher | : Springer Science & Business Media |
Total Pages | : 353 |
Release | : 2010-10-28 |
Genre | : Technology & Engineering |
ISBN | : 3642131743 |
What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.
Author | : National Institutes of Health (U.S.). Division of Research Grants |
Publisher | : |
Total Pages | : 1016 |
Release | : 1967 |
Genre | : Medicine |
ISBN | : |
Author | : Aixin Liang |
Publisher | : Frontiers Media SA |
Total Pages | : 170 |
Release | : 2023-02-14 |
Genre | : Science |
ISBN | : 2832507840 |
Author | : Claudine Elmerich |
Publisher | : Springer Science & Business Media |
Total Pages | : 709 |
Release | : 2013-12-01 |
Genre | : Science |
ISBN | : 9401151598 |
Nitrogen availability is one of the most critical factors that limits plant productivity. The largest reservoir of nitrogen is the atmosphere, but this gaseous molecular nitrogen only becomes available to plants through the biological nitrogen fixation process, which only prokaryotic cells have developed. The discovery that microbes were providing fixed nitrogen to legumes and the isolation of the first nitrogen-fixing bacteria occured at the end the 19th Century, in Louis Pasteur's time. We are now building on more than 100 years of research in this field and looking towards the 21st Century. The International Nitrogen Fixation Congress series Started more than 20 years ago. The format of this Congress is designed to gather scientists from very diverse origins, backgrounds, interests and scientific approaches and is a forum where fundamental knowledge is discussed alongside applied research. This confluence of perspectives is, we believe, extremely beneficial in raising new ideas, questions and concepts.
Author | : David J Dabbs |
Publisher | : Elsevier Health Sciences |
Total Pages | : 1008 |
Release | : 2023-05-19 |
Genre | : Medical |
ISBN | : 0323795234 |
Written with useful practicality in mind, Breast Pathology, 3rd Edition, provides surgical pathologists with authoritative guidance on the selection and best use of proper diagnostic techniques when reporting on breast specimens. Dr. David J. Dabbs and a team of internationally acclaimed pathologists incorporate genomic and molecular information, gross and microscopic findings, radiologic and laboratory diagnosis, theranostics, and immunohistochemistry to cover every aspect of benign and malignant lesions of the breast, helping you minimize diagnostic variation and error in the sign-out room. - Brings you fully up to date with recent advances, including new molecular information for breast entities, new surgical techniques, more widely used multigene prognostic tests, and assays used to determine treatment, such as PD-L1 as a new immunotherapy biomarker for triple-negative breast cancer. - Incorporates the latest classifications of breast pathology and molecular diagnosis. - Organizes each topical chapter around relevant genomic and molecular information, clinical presentation, gross and microscopic pathologic findings and diagnostic and molecular immunohistochemistry. - Maps immunohistochemistry for each entity according to diagnostic, theranostic, and genomic applications, with specific regard to disease entities in each chapter. - Discusses breast specimen handling in detail to assure proper sampling and processing for optimal molecular and immunohistochemistry resulting. - Supplies a convenient quick reference at the beginning of each chapter that includes all relevant diagnostic, theranostic, and genomic data for fast retrieval. - Features approximately 2,000 full-color pathological images that clearly depict clinical, radiological, molecular, immunohistochemical, and theranostic aspects of disease. - Includes biomarker guideline updates throughout. - Reflects updates to new tumor staging data in the American Joint Committee on Cancer (AJCC) 8th Edition and updated ASCO/CAP guidelines for interpreting HER2 assays.