Table of Contents

Mathematics

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  Effective Conformal Transformation of Smooth, Simply Connected Domains

  G. Birkhoff, D. M. Young, and E. H. Zarantonello

  PNAS July 1, 1951 37 (7) 411-414; https://doi.org/10.1073/pnas.37.7.411
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  Partial Sums of Fourier Series

  R. P. Boas Jr.

  PNAS July 1, 1951 37 (7) 414-417; https://doi.org/10.1073/pnas.37.7.414
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  The Mathematics of Second Quantization

  J. M. Cook

  PNAS July 1, 1951 37 (7) 417-420; https://doi.org/10.1073/pnas.37.7.417
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  On a Conjecture of Murray and von Neumann

  Bent Fuglede and Richard V. Kadison

  PNAS July 1, 1951 37 (7) 420-425; https://doi.org/10.1073/pnas.37.7.420
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  On Determinants and a Property of the Trace in Finite Factors

  Bent Fuglede and Richard V. Kadison

  PNAS July 1, 1951 37 (7) 425-431; https://doi.org/10.1073/pnas.37.7.425
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  A Generalization of the Frobenius Reciprocity Theorem

  F. I. Mautner

  PNAS July 1, 1951 37 (7) 431-435; https://doi.org/10.1073/pnas.37.7.431
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  Heat Conduction on Riemannian Manifolds

  A. N. Milgram and P. C. Rosenbloom

  PNAS July 1, 1951 37 (7) 435-438; https://doi.org/10.1073/pnas.37.7.435
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  A Generalization of Hermite's Law of Reciprocity

  Francis D. Murnaghan

  PNAS July 1, 1951 37 (7) 439-441; https://doi.org/10.1073/pnas.37.7.439
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  The Dimensions of the Irreducible Representations of a Finite Group

  Francis D. Murnaghan

  PNAS July 1, 1951 37 (7) 441-442; https://doi.org/10.1073/pnas.37.7.441
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  Approximations Exceeding 1300 Decimals for √3, 1/√3, Sin (π/3) and Distribution of Digits in Them

  Horace S. Uhler

  PNAS July 1, 1951 37 (7) 443-447; https://doi.org/10.1073/pnas.37.7.443