This collection of formulas constitutes a compendium of mathematics for eco­ nomics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of economics or business at universities, colleges and trade schools. But people dealing with practical or applied problems will also find this collection to be an efiicient and easy-to-use work of reference. First the book treats mathematical symbols and constants, sets and state­ ments, number systems and their arithmetic as well as fundamentals of com­ binatorics. The chapter on sequences and series is followed by mathematics of finance, the representation of functions of one and several independent vari­ ables, their differential and integral calculus and by differential and difference equations. In each case special emphasis is placed on applications and models in economics. The chapter on linear algebra deals with matrices, vectors, determinants and systems of linear equations. This is followed by the representation of struc­ tures and algorithms of linear programming. Finally, the reader finds formu­ las on descriptive statistics (data analysis, ratios, inventory and time series analysis), on probability theory (events, probabilities, random variables and distributions) and on inductive statistics (point and interval estimates, tests). Some important tables complete the work.

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Emergent Computation emphasizes the interrelationship of the different classes of languages studied in mathematical linguistics (regular, context-free, context-sensitive, and type 0) with aspects to the biochemistry of DNA, RNA, and proteins. In addition, aspects of sequential machines such as parity checking and semi-groups are extended to the study of the Biochemistry of DNA, RNA, and proteins. Mention is also made of the relationship of algebraic topology, knot theory, complex fields, quaternions, and universal turing machines and the biochemistry of DNA, RNA, and proteins.

Foundations of Data Analytics: Learn to Analyze, Visualize, and Interpret Data for Informed Decision-Making

Formal concept analysis has been developed as a field of applied mathematics based on the mathematization of concept and concept hierarchy. It thereby allows us to mathematically represent, analyze, and construct conceptual structures. The formal concept analysis approach has been proven successful in a wide range of application fields.

The motto of connectivity and superconductivity is that the solutions of the Ginzburg–Landau equations are qualitatively in?uenced by the topology of the boundaries. Special attention is given to the “zero set”,the set of the positions (usually known as “quantum vortices”) where the order parameter vanishes. The paradigm of connectivity and superconductivity is the Little– Parks e?ect,discussed in most textbooks on superconductivity. This volume is intended to serve as a reference book for graduate students and researchers in physics or mathematics interested in superconductivity, or in the Schr¨ odinger equation as a limiting case of the Ginzburg–Landau equations. The e?ects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. While in the Little–Parks days a lot of ingenuity was required to achieve this regime, present microelectronic techniques have transformed it into a routine. Mo- over,measurement and visualization techniques are developing at a pace which makes it reasonable to expect veri?cation of distributions,and not only of global properties. Activity in the ?eld has grown and diversi?ed substantially in recent years. We have therefore invited experts ranging from experimental and theoretical physicists to pure and applied mathematicians to contribute articles for this book. While the skeleton of the book deals with superconductivity,micron- works and generalizations of the Little–Parks situation,there are also articles which deal with applications of the Ginzburg–Landau formalism to several fundamental topics,such as quantum coherence,cosmology,and questions in materials science.

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This book provides insights into the research in the fields of artificial intelligence in combination with Internet of Things (IoT) technologies. Today, the integration of artificial intelligence and IoT technologies is attracting considerable interest from both researchers and developers from academic fields and industries around the globe.

This book comprehensibly describes the clinical details of anatomic hepatic resection using the Glissonean pedicle approach for hepatocellular carcinoma. It includes all aspects of the surgical anatomy of the liver, preoperative management of patients, surgical techniques, and intraoperative key points to prevent postoperative complications.
The first three chapters provide a general introduction to the clinical anatomy of the liver, preoperative management of patients with hepatocellular carcinoma, basic techniques for hepatic resection using the Glissonean approach, and the application of dye staining in anatomic hepatic resection. Subsequent chapters present the technical details of anatomical segmentectomy (Couinaud’s classification), sectionectomy and hemi-hepatectomy for hepatocellular carcinoma using the modified suprahilar Glissonean approach. All of these hepatectomies can be performed using simple and easily available surgical instruments. In addition, it discusses precise transection of the deepest hepatic parenchyma guided by methylene blue staining. It is a useful and timely reference for hepatobiliary surgeons, clinical staff, and medical students.

These proceedings gather a selection of peer-reviewed papers presented at the 7th International Conference on Fracture Fatigue and Wear (FFW 2018), held at Ghent University, Belgium on 9–10 July 2018.
The contributions, prepared by international scientists and engineers, cover the latest advances in and innovative applications of fracture mechanics, fatigue of materials, tribology and wear of materials.
The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the areas of fracture fatigue and wear.

This is the first comprehensive listing of Amazon fruits from an ethnobotanical perspective. This detailed book covers 50 botanical families, 207 species, in the Amazon including how the people of each region use them. It is lavishly illustrated with high-quality photographs taken by the author, an extensive list of references, and Dr. Smith’s latest, meticulous research. This book should be a foundational work for scholars working in the plant sciences, researchers in ethnobotanical studies, and general interest scholars seeking more detailed information on the latest research by a leading scientist in the Amazon.

Architecture has played a very important role in colonization of the society and the earth, and today we have the urgent task to crack the theory and practice of this same Architecture. We can achieve this only by working collectively towards reframing concepts that has been at the centre of a dominant universalist western knowledge creation.

Wind Turbines addresses all those professionally involved in research, development, manufacture and operation of wind turbines. It provides a cross-disciplinary overview of modern wind turbine technology and an orientation in the associated technical, economic and environmental fields. It is based on the author's experience gained over decades designing wind energy converters with a major industrial manufacturer and, more recently, in technical consulting and in the planning of large wind park installations, with special attention to economics. The second edition accounts for the emerging concerns over increasing numbers of installed wind turbines. In particular, an important new chapter has been added which deals with offshore wind utilisation. All advanced chapters have been extensively revised and in some cases considerably extended

This book presents a unified view of the response of materials as a result of femtosecond laser excitation, introducing a general theory that captures both ultrashort-time non-thermal and long-time thermal phenomena. It includes a novel method for performing ultra-large-scale molecular dynamics simulations extending into experimental and technological spatial dimensions with ab-initio precision.

This text book is Written by a group of international experts in the field and the result of over ten years of collaboration, it allows students and readers to gain to gain a detailed understanding of scar and wound treatment – a topic still dispersed among various disciplines.