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Avogadro-Scale Engineering: Advancing Form and Function in Statistical-Mechanical Systems

Explore the intersection of statistical mechanics and engineering at the Avogadro scale. Learn about internal configurations and degrees of freedom in macroscopic and microscopic systems. Delve into programming distributed systems and graphical message-passing networks, including the Sum-Product and Belief Propagation methods. Discover insights on loops, approximations, noise-locked loops, CDMA, local search, and global convex optimization. Find solutions through interior point algorithms for semidefinite programs. This comprehensive program covers a range of topics from computer programming to fault-tolerant and developmental programming.

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Avogadro-Scale Engineering: Advancing Form and Function in Statistical-Mechanical Systems

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  1. Avogadro-Scale Engineering: Form and Function http://cba.mit.edu NSF CCR-0122419

  2. Statistical Mechanics macroscopic state internal configuration microscopic degrees of freedom

  3. Statistical-Mechanical Engineering? macroscopic goal internal configuration microscopic degrees of freedom

  4. Programming Distributed Systems problem algorithm program executable protocol messages

  5. Graphical Message-Passing problem algorithm program executable protocol messages

  6. Graphical Networks

  7. Sum Product Belief propagation, …, (Loeliger, …) xj fm xi fn trees: exact loops: approximations

  8. Bethe Approximation (Jonathan Yedidia) fn xi

  9. Noise-LockedLoops (Ben Vigoda) CDMA LFSR code acquisition

  10. Local Search

  11. Global Convex Optimization (Pablo Parrilo et al.) Interior point solution to a semidefinite program on a relaxed problem

  12. computer programming linear programming semidefinite programming integer programming dynamic progamming toolpath programming fault-tolerant programming developmental programming programming

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