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Adjustment theory: an introduction

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Adjustment theory: an introduction

Peter Teunissen · TU Delft Open · 2024

Adjustment theory can be regarded as the part of mathematical geodesy that deals with the optimal combination of redundant measurements together with the estimation of unknown parameters. It is essential for a geodesist, its meaning comparable to what mechanics means to a civil engineer or a mechanical engineer. Historically, the first methods of combining redundant measurements originate from the study of three problems in geodesy and astronomy, namely to determine the size and shape of the Earth, to explain the long-term inequality in the motions of Jupiter and Saturn, and to find a mathematical representation of the motions of the Moon. Nowadays, the methods of adjustment are used for a much greater variety of geodetic applications, ranging from, for instance, surveying and navigation to remote sensing and global positioning. The two main reasons for performing redundant measurements are the wish to increase the accuracy of the results computed and the requirement to be able to check for errors. Due to the intrinsic uncertainty in measurements, measurement redundancy generally leads to an inconsistent system of equations. Without additional criteria, such a system of equations is not uniquely solvable. In this introductory course on adjustment theory, methods are developed and presented for solving inconsistent systems of equations. The leading principle is that of least-squares adjustment together with its statistical properties. The inconsistent systems of equations can come in many different guises. They could be given in parametric form, in implicit form, or as a combination of these two forms. In each case the same principle of least-squares applies. The algorithmic realizations of the solution will differ however. Depending on the application at hand, one could also wish to choose between obtaining the solution in one single step or in a step-wise manner. This leads to the need of formulating the system of equations in partitioned form. Different partitions

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Introduction to Biosystems Engineering

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Introduction to Biosystems Engineering

Nicholas M. Holden; Mary Leigh Wolfe; Jactone A. Ogejo; Enda J. Cummins · American Society of Agricultural and Biological Engineers (ASABE), Virginia Tech Publishing · 2021

The discipline of Biosystems Engineering emerged in the 1990s from the traditional strongholds of agricultural engineering and food engineering. Biosystems engineering integrates engineering science and design with applied biological, environmental, and agricultural sciences. Introduction to Biosystems Engineering is targeted at 1st and 2nd year university-level students with an interest in biosystems engineering but who are not yet familiar with the breadth and depth of the subject. It is designed as a coherent educational resource, also available for download as individual digital chapters. The book can be used as a localized, customizable text for introductory courses in Biosystems Engineering globally. It is written as a series of stand-alone chapters organized under six major topics: Food and Bioprocessing; Environment; Buildings and Infrastructure; Information and Communications Technology and Data; Machinery Systems; and Energy. Each chapter is organized around stated learning outcomes and describes key concepts, applications of the concepts, and worked examples. Instructors adopting or reviewing this text are encouraged to register with the publisher using this form.

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Sustainability: A Comprehensive Foundation

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Sustainability: A Comprehensive Foundation

Tom Theis; Jonathan Tomkin · OpenStax CNX · 2015

With “Sustainability: A Comprehensive Foundation”, first and second-year college students are introduced to this expanding new field, comprehensively exploring the essential concepts from every branch of knowledge – including engineering and the applied arts, natural and social sciences, and the humanities. As sustainability is a multi-disciplinary area of study, the text is the product of multiple authors drawn from the diverse faculty of the University of Illinois: each chapter is written by a recognized expert in the field. This text is designed to introduce the reader to the essential concepts of sustainability. This subject is of vital importance seeking as it does to uncover the principles of the long-term welfare of all the peoples of the planet but is only peripherally served by existing college textbooks. The content is intended to be useful for both a broad-based introductory class on sustainability and as a useful supplement to specialist courses which wish to review the sustainability dimensions of their areas of study. By covering a wide range of topics with a uniformity of style, and by including glossaries, review questions, case studies, and links to further resources, the text has sufficient range to perform as the core resource for a semester course. Students who cover the material in the book will be conversant in the language and concepts of sustainability, and will be equipped for further study in sustainable planning, policy, economics, climate, ecology, infrastructure, and more. Furthermore, the modular design allows individual chapters and sections to be easily appropriated without the purchase of a whole new text. This allows educators to easily bring sustainability concepts, references, and case studies into their area of study. This appropriation works particularly well as the text is free downloadable to anyone who wishes to use it. Furthermore, readers are encouraged to work with the text. Provided there is attribution to the source, use

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Introduction to Probability

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Introduction to Probability

Charles Grinstead; J. Laurie Snell · American Mathematical Society · 2006

Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continuedto influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that finds applications in every area of scholarlyactivity from music to physics, and in daily experience from weather prediction topredicting the risks of new medical treatments. This text is designed for an introductory probability course taken by sophomores,juniors, and seniors in mathematics, the physical and social sciences, engineering,and computer science. It presents a thorough treatment of probability ideas andtechniques necessary for a form understanding of the subject. The text can be usedin a variety of course lengths, levels, and areas of emphasis. For use in a standard one-term course, in which both discrete and continuousprobability is covered, students should have taken as a prerequisite two terms ofcalculus, including an introduction to multiple integrals. In order to cover Chapter 11, which contains material on Markov chains, some knowledge of matrix theoryis necessary. The text can also be used in a discrete probability course. The material has beenorganized in such a way that the discrete and continuous probability discussions arepresented in a separate, but parallel, manner. This organization dispels an overlyrigorous or formal view of probability and o?ers some strong pedagogical valuein that the discrete discussions can sometimes serve to motivate the more abstractcontinuous probability discussions. For use in a discrete probability course, studentsshould have taken one term of calculus as a prerequisite. Very little computing background is assumed or necessary in order to obtain fullbenefits from the use of the comp

Free Documentation License (GNU)AppliedEngineering & Technology 0 lượt xem
Contemporary Biology

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Contemporary Biology

Rachel Aptekar · Cosumnes River College

Có trong mục lục: 8.06: Cloning and Genetic Engineering

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Widener Chem 145 Fall 2022

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Widener Chem 145 Fall 2022

Scott Van Bramer · Widener University

This is the first semester of a two-semester introductory chemistry sequence for science, engineering, and pre-med programs. Topics include elements, atomic structure, molecular structure, chemical reactions, stoichiometry, thermochemistry, gases, liquids, and solids.

Chemistry 0 lượt xem
Calculus-Based Physics

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Calculus-Based Physics

Jeffrey W. Schnick · Saint Anselm College

Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

CC BY-SAUniversity PhysicsPhysics 0 lượt xem
Biology for an Informed World

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Biology for an Informed World

Trevor Rivers · University of Kansas

Có trong mục lục: 1.01: What is different about this approach to Introductory Biology · 15.01: Cloning and Genetic Engineering

Biology 0 lượt xem
Concepts in Biology

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Concepts in Biology

OpenStax · LibreTexts

Có trong mục lục: 10.01: Cloning and Genetic Engineering

CC BYIntroductory and General BiologyBiology 0 lượt xem
Principles of Biology

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Principles of Biology

LibreTexts

Có trong mục lục: 20.03: Genetic Engineering

CC BYIntroductory and General BiologyBiology 0 lượt xem
Introduction to Organic and Biochemistry

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Introduction to Organic and Biochemistry

Muhammad Arif Malik · Hampton University

Có trong mục lục: 8.08: Genetic engineering

CC0 / Public domainIntroductory ChemistryChemistry 0 lượt xem
General Biology

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General Biology

Boundless · LibreTexts

Có trong mục lục: 17.1E: Genetic Engineering

CC BY-SAIntroductory and General BiologyBiology 0 lượt xem
Our Human Story: An Introduction to Biological Anthropology

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Our Human Story: An Introduction to Biological Anthropology

Rachel Mitchell · Gavilan College

Có trong mục lục: 4.07: Genetic Testing and Genetic Engineering

CC BY-NCSocial Sciences 0 lượt xem
BIOL 101- Environmental Science

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BIOL 101- Environmental Science

Erin Rempala · San Diego City College

Có trong mục lục: 13.05: Selective Breeding and Genetic Engineering

CC BY-NC-SABiology 0 lượt xem
Intro to Biotechnology

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Intro to Biotechnology

Andre Walther · Cedar Crest College

Có trong mục lục: 05: Genetic Engineering and Recombinant DNA Technology · 5.02: Principles of Genetic Engineering · 10.02: Genetic Engineering in Animals

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