Solved Problems On Lasers

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  solved problems on lasers: Problems in Laser Physics Giulio Cerullo, Stefano Longhi, Mauro Nisoli, S. Stagira, Orazio Svelto, 2012-12-06 There is hardly any book that aims at solving problems typically encountered in the laser field, and this book intends to fill the void. Following some initial exercises related to general aspects in laser physics (Chapt. 1), the subsequent problems are organized along the following topics: (i) Interaction of radiation with matter either made of atoms or ions, weakly interacting with surrounding species, or made of more complicated elements such as molecules or semiconductors (Chapters 2 and 3). (ii) Wave propagation in optical media and optical resonators (Chapters 4 and 5). (iii) Optical and electrical pumping processes and systems (Chapter 6): (iv) Continuous wave and transient laser behaviors (Chapters 7 and 8). (v) Solid-state, dye, semiconductor, gas and X-ray lasers (Chapters 9 and 10). (vi) Proper ties of the output beam and beam transformation by amplification, frequency conversion and pulse compression or expansion (Chapters 11 and 12). Problems are proposed here and solved following the contents of Orazio Svelto's Principles of Lasers (fourth edition; Plenum Press, New York, 1998). Whenever needed, equations and figures of the book mentioned above are currently used with an appropriate reference [e. g. , Eq. (1. Ll) of the book is referred to as Eq. (Ll. 1) of PL]. One can observe, however, that the types of problems proposed and discussed are of general validity and many of these problems have actually been suggested by our own long-time experience in performing theoretical and experimental researches in the field.
  solved problems on lasers: A Century of Nature Laura Garwin, Tim Lincoln, 2010-03-15 Many of the scientific breakthroughs of the twentieth century were first reported in the journal Nature. A Century of Nature brings together in one volume Nature's greatest hits—reproductions of seminal contributions that changed science and the world, accompanied by essays written by leading scientists (including four Nobel laureates) that provide historical context for each article, explain its insights in graceful, accessible prose, and celebrate the serendipity of discovery and the rewards of searching for needles in haystacks.
  solved problems on lasers: Solved Problems in Laser Physics N. R. Heckenberg, 1994
  solved problems on lasers: Problems and Solutions in Medical Physics Kwan Hoong Ng, Ngie Min Ung, Robin Hill, 2022-10-17 The third in a three-volume set exploring Problems and Solutions in Medical Physics, this volume explores common questions and their solutions in Radiotherapy. This invaluable study guide should be used in conjunction with other key textbooks in the field to provide additional learning opportunities. One hundred and forty-four solved problems are provided in ten chapters on basic physics topics, including: External Beam Therapy Equipment, Photon Beam Physics, Radiation dosimetry, Treatment Planning for External Beam Radiotherapy, and External Beam Commissioning and Quality Assurance. Each chapter provides examples, notes, and references for further reading to enhance understanding. Key features: Consolidates concepts and assists in the understanding and applications of theoretical concepts in medical physics Assists lecturers and instructors in setting assignments and tests Suitable as a revision tool for postgraduate students sitting medical physics, oncology, and radiology science examinations
  solved problems on lasers: Lasers and Mass Spectrometry David M. Lubman, 1990-04-12 Contributors to this volume focus on the fundamentals of the technique of analyzing material based on the atomic weight of the species, using the power and definition of lasers to enable measurement of smaller quantities and more finely localized particles. Each chapter deals with a particular application area and should be sufficient to form an entry point for the utilization of mass spectrometry by graduate students and researchers. The book provides the first full discussion of the new techniques of laser applications in the field.
  solved problems on lasers: Laser Fundamentals William T. Silfvast, 2008-07-21 Laser Fundamentals provides a clear and comprehensive introduction to the physical and engineering principles of laser operation and design. Simple explanations, based throughout on key underlying concepts, lead the reader logically from the basics of laser action to advanced topics in laser physics and engineering. Much new material has been added to this second edition, especially in the areas of solid-state lasers, semiconductor lasers, and laser cavities. This 2004 edition contains a new chapter on laser operation above threshold, including extensive discussion of laser amplifiers. The clear explanations, worked examples, and many homework problems will make this book invaluable to undergraduate and first-year graduate students in science and engineering taking courses on lasers. The summaries of key types of lasers, the use of many unique theoretical descriptions, and the extensive bibliography will also make this a valuable reference work for researchers.
  solved problems on lasers: Industrial Applications of Lasers John F. Ready, 1997-04-25 A practical book with a variety of uses, this book can help applications engineers spark problem-solving techniques through the use of lasers. Industrial Application of Lasers, Second Edition takes the reader through laser fundamentals, unusual properties of laser light, types of practical lasers available, and commonly used accessory equipment. The book also applies this information to existing and developing applications. Current uses of lasers, including laser welding and cutting, electronic fabrication techniques, lightwave communications, laser-based applications in alignment, surveying, and metrology are all covered as well as discussing the potential for future applications such as all-optical computers,remote environmental monitoring, and laser-assisted thermonuclear fusion. - Explains basic laser fundamentals as well as emphasizing how lasers are used for real applications in industry - Describes the importance of laser safety - Discusses potentially important future applications such as remote environmental monitoring - Includes rare expert lore and opinion
  solved problems on lasers: Basics of Laser Physics Karl F. Renk, 2017-03-30 This textbook provides an introductory presentation of all types of lasers. It contains a general description of the laser, a theoretical treatment and a characterization of its operation as it deals with gas, solid state, free-electron and semiconductor lasers. This expanded and updated second edition of the book presents a description of the dynamics of free-electron laser oscillation using a model introduced in the first edition that allows a reader to understand basic properties of a free-electron laser and makes the difference to “conventional” lasers. The discussions and the treatment of equations are presented in a way that a reader can immediately follow. The book addresses graduate and undergraduate students in science and engineering, featuring problems with solutions and over 400 illustrations.
  solved problems on lasers: Basics of Laser Material Processing Grigoruants, 1994-04-04 The chapters present the problems of stresses and strains induced in metals and nonmetals in the processes of laser heating, analyze the results, offer the ways of laser treatment that dispense with subsequent machining operations, and describe the basic approaches to increase the strength of materials during laser heating. Other topics include the practical methods of implementing the processes of laser welding, cutting, hardening, alloying, and cladding (hardfacing). Basics of Laser Material Processing is designed for scientific workers and for those students in senior- and graduate-level courses.
  solved problems on lasers: Physics of Laser Materials Processing Gennady G. Gladush, Igor Smurov, 2011-08-05 This book describes the basic mechanisms, theory, simulations and technological aspects of Laser processing techniques. It covers the principles of laser quenching, welding, cutting, alloying, selective sintering, ablation, etc. The main attention is paid to the quantitative description. The diversity and complexity of technological and physical processes is discussed using a unitary approach. The book aims on understanding the cause-and-effect relations in physical processes in Laser technologies. It will help researchers and engineers to improve the existing and develop new Laser machining techniques. The book addresses readers with a certain background in general physics and mathematical analysis: graduate students, researchers and engineers practicing laser applications.
  solved problems on lasers: Laser Resonators and the Beam Divergence Problem Yurii A. Anan'ev, 1992-01-01 Professor Yurii A. Anan'ev has a long-standing international reputation for his publications on optical beams and resonators. Now many of his contributions will be readily available for the first time in a book. The generation of maximum power, minimum divergence beams from laser resonators is probably the most important topic in quantum electronics and optics today. The only book of its kind, Laser Resonators and the Beam Divergence Problem covers not only the theory, but also the applications of resonators to real systems as opposed to idealized models. Each rigorous examination of an optical configuration is accompanied by a detailed discussion of its associated applications and of the considerations for the user in practical work. The book contains a wealth of information on the developments in resonator technology, including much material previously unavailable outside the Soviet Union. It is an essential reference source to every researcher in laser science and technology.
  solved problems on lasers: Principles of Laser Materials Processing Elijah Kannatey-Asibu, Jr., 2023-01-25 Principles of Laser Materials Processing Authoritative resource providing state-of-the-art coverage in the field of laser materials processing, supported with supplementary learning materials Principles of Laser Materials Processing goes over the most recent advancements and applications in laser materials processing, with the second edition providing a welcome update to the successful first edition through updated content on the important fields within laser materials processing. The text includes solved example problems and problem sets suitable for the readers’ further understanding of the technology explained. Split into three parts, the text first introduces basic concepts of lasers, including the characteristics of lasers and the design of their components, to aid readers in their initial understanding of the technology. The text then reviews the engineering concepts that are needed to analyze the different processes. Finally, it delves into the background of laser materials and provides a state-of-the-art compilation of material in the major application areas, such as laser cutting and drilling, welding, surface modification, and forming, among many others. It also presents information on laser safety to prepare the reader for working in the industry sector and provide practicing engineers the updates needed to work safely and effectively. In Principles of Laser Materials Processing, readers can expect to find specific information on: Laser generation principles, including basic atomic structure, atomic transitions, population distribution, absorption, and spontaneous emission Optical resonators, including standing waves in a rectangular cavity, planar resonators, beam modes, line selection, confocal resonators, and concentric resonators Laser pumping, including optical pumping, arc/flash lamp pumping, energy distribution in the active medium, and electrical pumping Broadening mechanisms, including line-shape functions, homogeneous broadening such as natural and collision, and inhomogeneous broadening Principles of Laser Materials Processing is highly suitable for senior undergraduate and graduate students studying laser processing, and non-traditional manufacturing processes; it is also aimed at researchers to provide additional information to be used in research projects that are to be undertaken within the technology field.
  solved problems on lasers: Laser Induced Damage in Optical Materials, 1978 Alexander J. Glass, 1978
  solved problems on lasers: The Theory of Laser Materials Processing John Dowden, Wolfgang Schulz, 2017-06-16 The revised edition of this important reference volume presents an expanded overview of the analytical and numerical approaches employed when exploring and developing modern laser materials processing techniques. The book shows how general principles can be used to obtain insight into laser processes, whether derived from fundamental physical theory or from direct observation of experimental results. The book gives readers an understanding of the strengths and limitations of simple numerical and analytical models that can then be used as the starting-point for more elaborate models of specific practical, theoretical or commercial value. Following an introduction to the mathematical formulation of some relevant classes of physical ideas, the core of the book consists of chapters addressing key applications in detail: cutting, keyhole welding, drilling, arc and hybrid laser-arc welding, hardening, cladding and forming. The second edition includes a new a chapter on glass cutting with lasers, as employed in the display industry. A further addition is a chapter on meta-modelling, whose purpose is to construct fast, simple and reliable models based on appropriate sources of information. It then makes it easy to explore data visually and is a convenient interactive tool for scientists to improve the quality of their models and for developers when designing their processes. As in the first edition, the book ends with an updated introduction to comprehensive numerical simulation. Although the book focuses on laser interactions with materials, many of the principles and methods explored can be applied to thermal modelling in a variety of different fields and at different power levels. It is aimed principally however at academic and industrial researchers and developers in the field of laser technology.
  solved problems on lasers: Essential Resources for Industrial Hygiene Michael K. Harris, 2000
  solved problems on lasers: Optical Waves and Laser Beams in the Irregular Atmosphere Nathan Blaunstein, Natan Kopeika, 2017-09-22 The book introduces optical wave propagation in the irregular turbulent atmosphere and the relations to laser beam and LIDAR applications for both optical communication and imaging. It examines atmosphere fundamentals, structure, and content. It explains specific situations occurring in the irregular atmosphere and for specific natural phenomena that affect optical ray and laser beam propagation. It emphasizes how to use LIDAR to investigate atmospheric phenomena and predict primary parameters of the irregular turbulent atmosphere and suggests what kinds of optical devices to operate in different atmospheric situations to minimize the deleterious effects of natural atmospheric phenomena.
  solved problems on lasers: The Cambridge Handbook of Computing Education Research Sally A. Fincher, Anthony V. Robins, 2019-02-21 This Handbook describes the extent and shape of computing education research today. Over fifty leading researchers from academia and industry (including Google and Microsoft) have contributed chapters that together define and expand the evidence base. The foundational chapters set the field in context, articulate expertise from key disciplines, and form a practical guide for new researchers. They address what can be learned empirically, methodologically and theoretically from each area. The topic chapters explore issues that are of current interest, why they matter, and what is already known. They include discussion of motivational context, implications for practice, and open questions which might suggest future research. The authors provide an authoritative introduction to the field which is essential reading for policy makers, as well as both new and established researchers.
  solved problems on lasers: The History of the Laser Mario Bertolotti, 2004-10-01 Since the invention of the first working laser in 1960, development of these devices has progressed at an unprecedented rate, to the extent that the laser is now a common part of everyday life, from the semiconductor laser used in CD players and telecommunication systems to the high power eximer lasers used in manufacturing processes. This book tra
  solved problems on lasers: Laser Interaction and Related Plasma Phenomena H. Hora, G.H. Miley, 2012-12-06 The Tenth International Workshop on Laser Interaction and Related Plasma Phenomena was held November 11-15, 1991, at the Naval Postgraduate School, Monterey, California. This conference joined physicists from 11 countries (Australia, Canada, China, France, Israel, Italy, Spain, Switzerland, united Kingdom, USA, and the USSR). This meeting was marked by the inauguration of the EDWARD TELLER MEDAL FOR ACHIEVEMENTS IN FUSION ENERGY. This medal served as a celebration of the tenth conference in the 22-year series and as an opportunity to honor one of the world's greatest physicists and a leading pioneer in this field: Edward Teller. Four medals were awarded in the inaugural ceremony. The first recipient of the medal was Nobel Laureate Nikolai G. Basov, who served for many years as Director of the LebedevPhysical Institute of the Academy of Sciences of the USSR. In his address to Edward Teller, Dr. Basov underlined that Dr. Teller was the first in history to produce an exothermal nuclear fusion reaction, the mechanism that may now lead to an inexhaustive, environmentally clean, and low cost energy source in the future. This goal, he stressed, becomes more crucial as the greenhouse effect may not permit burning of fossil fuels for much longer. Basov also reviewed events leading the International Quantum Electronics Conferences of 1963 where he disclosed the first publication on laser fusion and that of 1968 where he reported the first observation of fusion neutrons using a laser-irradiated target. The second recipient was John H.
  solved problems on lasers: Theory of Semiconductor Lasers Minoru Yamada, 2014-04-10 This book provides a unified and complete theory for semiconductor lasers, covering topics ranging from the principles of classical and quantum mechanics to highly advanced levels for readers who need to analyze the complicated operating characteristics generated in the real application of semiconductor lasers. The author conducts a theoretical analysis especially on the instabilities involved in the operation of semiconductor lasers. A density matrix into the theory for semiconductor lasers is introduced and the formulation of an improved rate equation to help understand the mode competition phenomena which cause the optical external feedback noise is thoroughly described from the basic quantum mechanics. The derivation of the improved rate equation will allow readers to extend the analysis for the different types of semiconductor materials and laser structures they deal with. This book is intended not only for students and academic researchers but also for engineers who develop lasers for the market, as the advanced topics covered are dedicated to real problems in implementing semiconductor lasers for practical use.
  solved problems on lasers: Lasers and Masers , 1966
  solved problems on lasers: The Theory of Target Compression by Longwave Laser Emission G. V. Sklizkov, 1987
  solved problems on lasers: Frequency-Resolved Optical Gating: The Measurement of Ultrashort Laser Pulses Rick Trebino, 2012-12-06 The Frequency-Resolved Optical-Gating (FROG) technique has revolutionized our ability to measure and understand ultrashort laser pulses. This book contains everything you need to know to measure even the shortest, weakest, or most complex ultrashort laser pulses. Whether you're an undergrad or an advanced researcher, you'll find easy-to-understand descriptions of all the key ideas behind all the FROG techniques, all the practical details of pulse measurement, and many new directions of research. This book is not like any other scientific book. It is a lively discussion of the basic concepts. It is an advanced treatment of research-level issues.
  solved problems on lasers: High-power gas lasers, 1975 International College of Applied Physics, 2020-11-25 This book presents lectures and seminars given at a Summer School, organized by the International College of Applied Physics, on the physics and technology and the industrial applications of high-power gas lasers.
  solved problems on lasers: Laser Induced Damage in Optical Materials , 1977
  solved problems on lasers: Proceedings of Fifth International Conference on Soft Computing for Problem Solving Millie Pant, Kusum Deep, Jagdish Chand Bansal, Atulya Nagar, Kedar Nath Das, 2016-04-20 The proceedings of SocProS 2015 will serve as an academic bonanza for scientists and researchers working in the field of Soft Computing. This book contains theoretical as well as practical aspects using fuzzy logic, neural networks, evolutionary algorithms, swarm intelligence algorithms, etc., with many applications under the umbrella of ‘Soft Computing’. The book will be beneficial for young as well as experienced researchers dealing across complex and intricate real world problems for which finding a solution by traditional methods is a difficult task. The different application areas covered in the proceedings are: Image Processing, Cryptanalysis, Industrial Optimization, Supply Chain Management, Newly Proposed Nature Inspired Algorithms, Signal Processing, Problems related to Medical and Health Care, Networking Optimization Problems, etc.
  solved problems on lasers: Laser Light Scattering Benjamin Chu, 2007-05-11 Geared toward upper-level undergraduate and graduate students, this text introduces the interdisciplinary area of laser light scattering. It focuses chiefly on quasielastic laser scattering, discussing theoretical concepts at a realistic level. Some background in the physical sciences is assumed, but the opening chapters offer a brief review of classical electricity and magnetism as well as the general scattering theory. Topics include basic theoretical concepts related to light mixing spectroscopy, characteristics of the Fabry-Perot interferometer, and photon-counting fluctuations. The author, a distinguished professor in the Department of Chemistry at Stony Brook University, discusses experimental methods, including setting up a light scattering spectrometer using digital photon-counting and correlation techniques. Subsequent chapters explore applications to macromolecular systems, anemometry and its utility in reaction kinetics, and critical opalescence. References appear throughout the text.
  solved problems on lasers: Neural Information Processing Biao Luo, Long Cheng, Zheng-Guang Wu, Hongyi Li, Chaojie Li, 2023-11-24 The nine-volume set constitutes the refereed proceedings of the 30th International Conference on Neural Information Processing, ICONIP 2023, held in Changsha, China, in November 2023. The 1274 papers presented in the proceedings set were carefully reviewed and selected from 652 submissions. The ICONIP conference aims to provide a leading international forum for researchers, scientists, and industry professionals who are working in neuroscience, neural networks, deep learning, and related fields to share their new ideas, progress, and achievements.
  solved problems on lasers: Laser Technology Development and Applications United States. Congress. Senate. Committee on Commerce, Science, and Transportation. Subcommittee on Science, Technology, and Space, 1980
  solved problems on lasers: Lasers in the Conservation of Artworks Klaus Dickmann, Costas Fotakis, John F. Asmus, 2006-04-05 Since 1995, when Costas Fotakis first brought together restorers and scientists to discuss the potential of lasers in art conservation, the field has grown enormously in importance, and today restorers and laser scientists work together to develop new applications. This book presents the more than six dozen research papers prepared for LACONA V (Lasers in Art Conservation), held in Osnabrueck/Germany in September 2003. The fifth congress once again gathered restorers, art historians, museum staff, laser scientists and laser manufacturers. The topics include, among others: laser cleaning of artworks (case studies and side effects), removal of former conservation layers, fundamentals of laser-artwork interaction, online monitoring and process control, laser diagnostics, spectroscopy for monitoring and identification, networks and cooperation projects.
  solved problems on lasers: Handbook of Laser Technology and Applications Chunlei Guo, Subhash Chandra Singh, 2021-06-23 This comprehensive handbook gives a fully updated guide to lasers and laser technologies, including the complete range of their technical applications. The first volume outlines the fundamental components of lasers, their properties, and working principles. Key Features: • Offers a complete update of the original, bestselling work, including many brand-new chapters. • Deepens the introduction to fundamentals, from laser design and fabrication to host matrices for solid-state lasers, energy level diagrams, hosting materials, dopant energy levels, and lasers based on nonlinear effects. • Covers new laser types, including quantum cascade lasers, silicon-based lasers, titanium sapphire lasers, terahertz lasers, bismuth-doped fiber lasers, and diode-pumped alkali lasers. • Discusses the latest applications, e.g., lasers in microscopy, high-speed imaging, attosecond metrology, 3D printing, optical atomic clocks, time-resolved spectroscopy, polarization and profile measurements, pulse measurements, and laser-induced fluorescence detection. • Adds new sections on laser materials processing, laser spectroscopy, lasers in imaging, lasers in environmental sciences, and lasers in communications. This handbook is the ideal companion for scientists, engineers, and students working with lasers, including those in optics, electrical engineering, physics, chemistry, biomedicine, and other relevant areas.
  solved problems on lasers: Introduction to Optics and Lasers in Engineering Gabriel Laufer, 1996-07-13 In a very short time, lasers advanced from research interest to increasingly useful, commercially available tools for material processing, precision measurements, surgery, communication, and even entertainment. This 1996 book provides the background in theoretical physics necessary to understand engineering applications. It summarises relevant theories of geometrical optics, physical optics, quantum optics, and laser physics and ties them to applications in such areas as fluid mechanics, combustion, surface analysis, material processing and laser machining. Advanced topics such as laser Doppler velocimetry, laser-induced fluorescence, and holography are clearly and thoroughly explained. The book includes numerous examples and homework problems. A unique feature is the advanced research problems in each chapter that simulate real-world research and encourage independent reading and analysis.
  solved problems on lasers: Engineering Physics Volume I (For 1st Year of JNTU, Kakinada) Kumar, Vijaya K., Interference | Diffraction | Polarization |Crystal Structures|Crystal Planes And X–Ray Diffraction |Laser |Fiberoptics |Non-Destructive Testing Using Ultrasonics|Question Papers | Appendix
  solved problems on lasers: Ask Magazine , 2007
  solved problems on lasers: Electronics Fundamentals and Applications D. Chattopadhyay, P. C. Rakshit, 2008
  solved problems on lasers: Diode Lasers and Photonic Integrated Circuits Larry A. Coldren, Scott W. Corzine, Milan L. Mashanovitch, 2012-03-02 Diode Lasers and Photonic Integrated Circuits, Second Edition provides a comprehensive treatment of optical communication technology, its principles and theory, treating students as well as experienced engineers to an in-depth exploration of this field. Diode lasers are still of significant importance in the areas of optical communication, storage, and sensing. Using the the same well received theoretical foundations of the first edition, the Second Edition now introduces timely updates in the technology and in focus of the book. After 15 years of development in the field, this book will offer brand new and updated material on GaN-based and quantum-dot lasers, photonic IC technology, detectors, modulators and SOAs, DVDs and storage, eye diagrams and BER concepts, and DFB lasers. Appendices will also be expanded to include quantum-dot issues and more on the relation between spontaneous emission and gain.
  solved problems on lasers: Robot Assisted Laser Osteotomy Jessica Burgner, 2014-10-16 In the scope of this thesis world's first robot system was developed, which facilitates osteotomy using laser in arbitrary geometries with an overall accuracy below 0.5mm. Methods of computer and robot assisted surgery were reconsidered and composed to a workflow. Adequate calibration and registration methods are proposed. Further a methodology for transferring geometrically defined cutting trajectories into pulse sequences and optimized execution plans is developed.
  solved problems on lasers: The Encyclopedia of the Industrial Revolution in World History Kenneth E. Hendrickson, III, 2014-11-25 The Encyclopedia of the Industrial Revolution in World History is a three-volume work of over 1,000 entries on the rise and spread of the Industrial Revolution across the world. Entries comprise accessible but scholarly explorations of topics from the “aerospace industry” to “zaibatsu.” Contributor articles not only address topics of technology and technical innovation but emphasize the individual human and social experience of industrialization. Entries include generous selections of biographical figures and human communities, with articles on entrepreneurs, working men and women, families, and organizations. They also cover legal developments, disasters, and the environmental impact of the Industrial Revolution. Each entry also includes cross-references and a brief list of suggested readings to alert readers to more detailed information.
  solved problems on lasers: NBS Monograph United States. National Bureau of Standards, 1970
  solved problems on lasers: An Introduction to the Description and Evaluation of Microwave Systems Using Terminal Invariant Parameters Glenn F. Engen, 1969
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What's the difference between 'resolve' and 'solve'?
Mar 3, 2023 · Solve is the most general in meaning and suggestion in this group; it implies the finding of a satisfactory answer …

What is the tense ot the sentence "The problem has been solved"
Apr 17, 2020 · Or: I have solved the problem. 3.That refers to more Present Simple,as you see. The problem is solved=The problem is …

"solve with" vs "solve for" - English Language & Usage Stack Exchange
solved for sth - means that a problem is transformed in such way that can sth can be obtained directly (as in "solve for x") My …

A word or phrase for "The problem solved itself"
Jun 17, 2014 · Whenever we close a support ticket at my company, we note the resolution to the problem so that future technicians …

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Nov 23, 2015 · In context, I reported an online problem and in response the the service executive did her job but was not sure about …