Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.

This text develops photochemical and photophysical concepts from a set of familiar principles. Principles of Molecular Photochemistry provides in-depth coverage of electronic spin, the concepts of electronic energy transfer and electron transfer, and the progress made in theoretical and experimental electron transfer.

A comprehensive method for developing technique, contemporary styles and rhythmical concepts. This is the first book that deals with the necessary drum techniques and practices for today's music. With this 93-page book and 90-minute recording comes an eight-page pull-out chart of additional exercises. An outstanding value!

Maintaining the high standards that made the previous editions such well-respected and widely used references, Food Lipids: Chemistry, Nutrition, and Biotechnology, Third Edition tightens its focus to emphasize lipids from the point of entry into the food supply and highlights recent findings regarding antioxidants and lipid oxidation. Always representative of the current state of lipid science, this edition provides four new chapters reflecting the latest advances in antioxidant research. New chapters include: Polyunsaturated Lipid Oxidation in Aqueous Systems, Tocopherol Stability and the Prooxidant Mechanisms of Oxidized Tocopherols in Lipids, Effects and Mechanisms of Minor Compounds in Oil on Lipid Oxidation, and Total Antioxidant Evaluation and Synergism. The most comprehensive and relevant treatment of food lipids available, this book highlights the role of dietary fats in foods, human health, and disease. Divided into five parts, it begins with the chemistry and properties of food lipids covering nomenclature and classification, extraction and analysis, and chemistry and function. Part II addresses processing techniques including recovery, refining, converting, and stabilizing, as well as chemical interesterification. The third Part has been renamed and expanded to honor the growing data on oxidation and antioxidants. Part IV explores the myriad interactions of lipids in nutrition and health with information on heart disease, obesity, and cancer, and Part V continues with contributions on biotechnology and biochemistry including a chapter on the genetic engineering of crops that produce vegetable oil. Revised and updated with new information and references throughout the text, this third edition of a bestselling industry standard once again draws on the contributions of leading international experts to establish the latest benchmark in the field and provide the platform from which to further advance lipid science.

Pathology of Multiple Pregnancy collates case material from over 500 autopsies (including embryos) and 1200 placentas from twins, triplets, and higher multiples with selected literature on human multiple reproduction. It emphasizes important new concepts of pathophysiology and interpretation of less than ideal outcomes of multiple conception based on over 30 years experience in the field. Aspects of perinatal pathology unique to twins and higher multiples are emphasized, with practical suggestions for the service pathologist, including items of potential medico-legal significance. Controversial topics, such as the value of studies of concordance for diseases or malformations, and the significance of inter-twin anastomoses, are addressed and suggestions made for further investigation. A close working relationship between pathologists and clinical colleagues is encouraged by discussion of clinico-pathological correlations. And, the most recent discussions on mechanisms of twinning and genetic versus environmental influences on the development of twins are presented.

The third edition of this established classic text reference builds upon the strengths of its very popular predecessors. Organized as a broadly useful textbook Principles of Fluorescence Spectroscopy, 3rd edition maintains its emphasis on basics, while updating the examples to include recent results from the scientific literature. The third edition includes new chapters on single molecule detection, fluorescence correlation spectroscopy, novel probes and radiative decay engineering. Includes a link to Springer Extras to download files reproducing all book artwork, for easy use in lecture slides. This is an essential volume for students, researchers, and industry professionals in biophysics, biochemistry, biotechnology, bioengineering, biology and medicine.

The Chemistry of Heterocyclic Compounds, since its inception, has been recognized as a cornerstone of heterocyclic chemistry. Each volume attempts to discuss all aspects – properties, synthesis, reactions, physiological and industrial significance – of a specific ring system. To keep the series up-to-date, supplementary volumes covering the recent literature on each individual ring system have been published. Many ring systems (such as pyridines and oxazoles) are treated in distinct books, each consisting of separate volumes or parts dealing with different individual topics. With all authors are recognized authorities, the Chemistry of Heterocyclic Chemistry is considered worldwide as the indispensable resource for organic, bioorganic, and medicinal chemists.