Solving Problems in Point Geometry (1版)

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【簡介】 For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving. Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking. Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement. In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery. Request Inspection Copy 【目錄】

Vibration Problems in Machines: Diagnosis and Resolution (1版)

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【簡介】 【目錄】 Vibration Problems in Machines: Diagnosis and Resolution explains how to infer information about the internal operations of rotating machines from external measurements. In doing so, the book examines the vibration signals arising under various fault conditions, such as rotor imbalance, misalignment, cracked rotors, gear wear, whirling instabilities, and other problems. Covering a wide range of techniques required in the monitoring, analysis, and diagnosis of operational rotating machinery, this text: Discusses topics ranging from the presentation of complex data to methods for reconciling model and plant data Describes the physical basis of fault signals as well as the necessary signal and data processing techniques Delivers fresh insight into misalignment phenomena and the future of smart machinery Vibration Problems in Machines: Diagnosis and Resolution includes case studies with real plant data, MATLAB® scripts and functions for the modelling and analysis of rotating machines, end-of-chapter questions, and a solutions manual with qualifying course adoption. The book provides an invaluable resource for those seeking to optimize the use of complex and often apparently contradictory data.