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The Hodgkin-Huxley Model - McGill University
The changes in permeability and the dynamic link to membrane voltage were finally addressed and modeled in 1952 by Hodgkin and Huxley [1-5]. ... The diffusion of extracellular potassium away from the cell causes a very slight increase in membrane voltage. It finally returns to its resting value where it can await another action
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Basic Algebra - Mathematics and Statistics
www.math.mcgill.ca7. Orientation for Algebraic Number Theory and Algebraic Geometry 411 8. Noetherian Rings and the Hilbert Basis Theorem 417 9. Integral Closure 420 10. Localization and Local Rings 428 11. Dedekind Domains 437 12. Problems 443 IX. FIELDS AND GALOIS THEORY 452 1. Algebraic Elements 453 2. Construction of Field Extensions 457 3. Finite Fields 461 ...
A Fast Iterative Shrinkage-Thresholding Algorithm for ...
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Random Forests - Mathematics and Statistics
www.math.mcgill.caRandom forests (Breiman, 2001) is a substantial modification of bagging that builds a large collection of de-correlated trees, and then averages them. On many problems the performance of random forests is very similar to boosting, and they are simpler to train and tune. As a consequence, random
Advanced Algebra - Mathematics and Statistics
www.math.mcgill.caIt is assumed that the reader is already familiar with linear algebra, group theory, rings and modules, unique factorization domains, Dedekind domains, fields and algebraic extension fields, and Galois theory at the level discussed in Basic Algebra. Not all of this material is needed for each chapter of Advanced
An introduction to Ramanujan's magic squares
www.math.mcgill.cabe beyond the scope of imagination were it not, after all, true. [Other] reviewers justly praise this book as one of the best scientific biographies ever written." -- American Mathematical Monthly "Perspicacious, informed, imaginative, [The Man Who Knew Infinity] is to my mind the best mathematical biography I have ever read...[It]is not just a ...
Fermat’s Last Theorem - McGill University
www.math.mcgill.camore advanced reference is the article [Di2] which strengthens the methods of [W3] and [TW] to prove that every elliptic curve that is semistable at 3 and 5 is modular. 2. Introduction Fermat’s Last Theorem ... Such an inference would be valid if one were to replace Z[ζ ...
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