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Periodical
Research horizons : a publication of the Georgia Institute of Technology.
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Publisher: Atlanta, Ga. : Research Communications Office

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Periodical
Research horizons : a publication of the Georgia Institute of Technology.
Author:
Publisher: Atlanta, Ga. : Research Communications Office

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Abstract


Periodical
Research horizons : a publication of the Georgia Institute of Technology.
Author:
Publisher: Atlanta, Ga. : Research Communications Office

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Abstract

The Traveling Salesman Problem
Authors: --- ---
ISBN: 1283256118 9786613256119 1400841100 9781400841103 0691129932 9780691129938 9781283256117 Year: 2011 Publisher: Princeton, NJ

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This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

Keywords

Traveling salesman problem. --- TSP (Traveling salesman problem) --- Combinatorial optimization --- Graph theory --- Vehicle routing problem --- AT&T Labs. --- Accuracy and precision. --- Addition. --- Algorithm. --- Analysis of algorithms. --- Applied mathematics. --- Approximation algorithm. --- Approximation. --- Basic solution (linear programming). --- Best, worst and average case. --- Bifurcation theory. --- Big O notation. --- CPLEX. --- CPU time. --- Calculation. --- Chaos theory. --- Column generation. --- Combinatorial optimization. --- Computation. --- Computational resource. --- Computer. --- Connected component (graph theory). --- Connectivity (graph theory). --- Convex hull. --- Cutting-plane method. --- Delaunay triangulation. --- Determinism. --- Disjoint sets. --- Dynamic programming. --- Ear decomposition. --- Engineering. --- Enumeration. --- Equation. --- Estimation. --- Euclidean distance. --- Euclidean space. --- Family of sets. --- For loop. --- Genetic algorithm. --- George Dantzig. --- Georgia Institute of Technology. --- Greedy algorithm. --- Hamiltonian path. --- Hospitality. --- Hypergraph. --- Implementation. --- Instance (computer science). --- Institute. --- Integer. --- Iteration. --- Linear inequality. --- Linear programming. --- Mathematical optimization. --- Mathematics. --- Model of computation. --- Neuroscience. --- Notation. --- Operations research. --- Optimization problem. --- Order by. --- Pairwise. --- Parameter (computer programming). --- Parity (mathematics). --- Percentage. --- Polyhedron. --- Polytope. --- Pricing. --- Princeton University. --- Processing (programming language). --- Project. --- Quantity. --- Reduced cost. --- Requirement. --- Result. --- Rice University. --- Rutgers University. --- Scientific notation. --- Search algorithm. --- Search tree. --- Self-similarity. --- Simplex algorithm. --- Solution set. --- Solver. --- Source code. --- Special case. --- Stochastic. --- Subroutine. --- Subsequence. --- Subset. --- Summation. --- Test set. --- Theorem. --- Theory. --- Time complexity. --- Trade-off. --- Travelling salesman problem. --- Tree (data structure). --- Upper and lower bounds. --- Variable (computer science). --- Variable (mathematics).


Book
Super courses : the future of teaching and learning
Authors: ---
ISBN: 0691216592 9780691185460 9780691216591 9780691182568 Year: 2021 Publisher: Princeton, New Jersey London Princeton University Press

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From the bestselling author of What the Best College Teachers Do, the story of a new breed of amazingly innovative courses that inspire students and improve learningDecades of research have produced profound insights into how student learning and motivation can be unleashed—and it’s not through technology or even the best of lectures. In Super Courses, education expert and bestselling author Ken Bain tells the fascinating story of enterprising college, graduate school, and high school teachers who are using evidence-based approaches to spark deeper levels of learning, critical thinking, and creativity—whether teaching online, in class, or in the field.Visiting schools across the United States as well as in China and Singapore, Bain, working with his longtime collaborator, Marsha Marshall Bain, uncovers super courses throughout the humanities and sciences. At the University of Virginia, undergrads contemplate the big questions that drove Tolstoy—by working with juveniles at a maximum-security correctional facility. Harvard physics students learn about the universe not through lectures but from their peers in a class where even reading is a social event. And students at a Dallas high school use dance to develop growth mindsets—and many of them go on to top colleges, including Juilliard. Bain defines these as super courses because they all use powerful researched-based elements to build a “natural critical learning environment” that fosters intrinsic motivation, self-directed learning, and self-reflective reasoning. Complete with sample syllabi, the book shows teachers how they can build their own super courses.The story of a hugely important breakthrough in education, Super Courses reveals how these classes can help students reach their full potential, equip them to lead happy and productive lives, and meet the world’s complex challenges.

Keywords

Curriculum change. --- Education, Higher --- College teaching. --- University teaching --- Teaching --- Curriculum reform --- Instructional change --- Reform, Curriculum --- Curriculum planning --- Education --- Curricula. --- Curricula --- E-books --- Curriculum change --- College teaching --- Learning, Psychology of. --- Academic achievement. --- Academic term. --- Active learning. --- Adaptive expertise. --- Albert Bandura. --- Annotation. --- Aptitude. --- Capstone course. --- Career. --- Carol Dweck. --- Classroom. --- Copyright. --- Critical thinking. --- Curriculum. --- David Hestenes. --- Deep learning. --- Education. --- Educational aims and objectives. --- Ellen Langer. --- Engineering. --- Eric Mazur. --- Expert. --- Facilitation. --- Facilitator. --- Feeling. --- Final examination. --- Force Concept Inventory. --- Georgia Institute of Technology. --- Grading (education). --- Graduate school. --- Harvard University. --- Higher education. --- Historical thinking. --- Homelessness. --- Homework. --- How People Learn. --- Ingenuity. --- Institution. --- Intelligence. --- John Dewey. --- Learning environment. --- Learning. --- Lecture. --- Lecturer. --- Lifelong learning. --- Literature. --- Locus of control. --- Mathematician. --- Mechanical engineering. --- Medical school. --- Motivation. --- Of Education. --- Pedagogy. --- Peer instruction. --- Personal development. --- Philosopher. --- Physician. --- Poverty. --- Prejudice. --- Princeton University Press. --- Private school. --- Problem set. --- Problem solving. --- Profession. --- Professor. --- Project. --- Psychologist. --- Psychology. --- Questionnaire. --- Quiz. --- Requirement. --- Role-playing. --- Russian literature. --- Scholarship. --- Science education. --- Scientist. --- Secondary school. --- Self-efficacy. --- Seminar. --- Smartphone. --- Social science. --- Spring break. --- Stereotype threat. --- Student engagement. --- Student. --- Sugata Mitra. --- Syllabus. --- TRIZ. --- Teacher. --- Teaching method. --- Technology. --- Test (assessment). --- Textbook. --- Theory. --- Thought. --- Traditional education. --- Uncertainty. --- Undergraduate education. --- Vocabulary. --- Writing.

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