Tracking the Automatic ANT


Book Description

For those fascinated by the abstract universe of mathematics, David Gale's columns in "The Mathematical Intelligencer" have been a prime source of entertainment, and here his columns are collected for the first time in book form. Encouraged by the magazine's editor, Sheldon Axler, to write on whatever pleased him, Gale ranged far and wide across the field of mathematics, frequently returning to favorite themes: triangles, tilings, games and paradoxes, as well as the particular automaton that gives this collection its title, the "automatic ant." Suitable for everyone having some familiarity with mathematical ideas.




Number Theory and Polynomials


Book Description

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.




Content-based Microscopic Image Analysis


Book Description

In this dissertation, novel Content-based Microscopic Image Analysis (CBMIA) methods, including Weakly Supervised Learning (WSL), are proposed to aid biological studies. In a CBMIA task, noisy image, image rotation, and object recognition problems need to be addressed. To this end, the first approach is a general supervised learning method, which consists of image segmentation, shape feature extraction, classification, and feature fusion, leading to a semi-automatic approach. In contrast, the second approach is a WSL method, which contains Sparse Coding (SC) feature extraction, classification, and feature fusion, leading to a full-automatic approach. In this WSL approach, the problems of noisy image and object recognition are jointly resolved by a region-based classifier, and the image rotation problem is figured out through SC features. To demonstrate the usefulness and potential of the proposed methods, experiments are implemented on di erent practical biological tasks, including environmental microorganism classification, stem cell analysis, and insect tracking.




Computing and Combinatorics


Book Description

This book constitutes the refereed proceedings of the 6th Annual International Conference on Computing and Combinatorics, COCOON 2000, held in Sydney, Australia in July 2000. The 44 revised full papers presented together with two invited contributions were carefully reviewed and selected from a total of 81 submissions. The book offers topical sections on computational geometry; graph drawing; graph theory and algorithms; complexity, discrete mathematics, and number theory; online algorithms; parallel and distributed computing; combinatorial optimization; data structures and computational biology; learning and cryptography; and automata and quantum computing.




Answers to Exercises For Geometry (Solutions Manual)


Book Description

Solutions Manual for the 36-week, geometry course. An essential presentation of Geometry: Seeing, Doing, Understanding exercise solutions: Helps the student with understanding all the answers from exercises in the student book Develops a deeper competency with geometry by encouraging students to analyze and apply the whole process Provides additional context for the concepts included in the course This Solutions Manual provides more than mere answers to problems, explaining and illustrating the process of the equations, as well as identifying the answers for all exercises in the course, including mid-term and final reviews.




Technology and Application of Environmental and Engineering Geophysics


Book Description

This book focuses on essential theories, methods and techniques in the field of environmental and engineering geophysics that can contribute to resource detection and environmental protection. Geophysics has been playing an important role in exploring the earth, locating vital resources and promoting the development of society. This book covers a range of topics including the exploration of modern resources, such as ore deposits, coal mines, shale gas and geothermal power, and the monitoring of geological disasters, including the rock-soil body, ground deformation, mines, specific rock-soil engineering disasters, desertification of land and environmental abnormalities. This book not only offers a valuable resource for geophysical researchers; it also demonstrates how geophysics theories and methods can be practically implemented to protect our environment and promote the development of human society.




Intelligent Systems


Book Description

The three-volume set LNAI 14195, 14196, and 14197 constitutes the refereed proceedings of the 12th Brazilian Conference on Intelligent Systems, BRACIS 2023, which took place in Belo Horizonte, Brazil, in September 2023. The 90 full papers included in the proceedings were carefully reviewed and selected from 242 submissions. They have been organized in topical sections as follows: Part I: Best papers; resource allocation and planning; rules and feature extraction; AI and education; agent systems; explainability; AI models; Part II: Transformer applications; convolutional neural networks; deep learning applications; reinforcement learning and GAN; classification; machine learning analysis; Part III: Evolutionary algorithms; optimization strategies; computer vision; language and models; graph neural networks; pattern recognition; AI applications.




Mathematics Today


Book Description




STACS 2001


Book Description

This book constitutes the refereed proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2001, held in Dresden, Germany in February 2001. The 46 revised full papers presented together with three invited papers were carefully reviewed and selected from a total of 153 submissions. The papers address foundational aspects from all current areas of theoretical computer science including algorithms, data structures, automata, formal languages, complexity, verification, logic, graph theory, optimization, etc.




Unsolved Problems in Number Theory


Book Description

Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloaneā€™s Online Encyclopedia of Integer Sequences, at the end of several of the sections.