Linking Mind to Brain: The Mathematics of Biological Intelligence

Stephen Grossberg

How does the mind interpret visual information? Grossberg discusses mathematical models, based on dynamical systems and resonant circuits, that consistently explain perception of surfaces and boundaries, recognition of familiar patterns, and a mechanism for rapid learning without catastrophic forgetting.
(pp. 1361)
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Model Theory

Anand Pillay

Model theory is a branch of logic. The author describes some model-theoretic techniques, particularly a compactness theorem, and shows how they can be applied in clever ways to prove some celebrated theorems in algebra.
(pp. 1373)
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Lattices, Linear Codes, and Invariants, Part II

Noam D. Elkies

This two-part article discusses a far-reaching analogy between lattice packings in Euclidean space and linear error-correcting codes. Part II concentrates on linear codes, which are used in the storage and transmission of data. The author constructs some unusual ones and shows how they are related to sporadic finite simple groups.
(pp. 1382)
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Jurgen K. Moser (1928--1999)

John N. Mather, Henry P. McKean, Louis Nirenberg, and Paul H. Rabinowitz