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Volume 17(12);  December 1931
The cover of the journal
Chemistry
Reversible Coagulation in Living Tissue: IX
Wilder D. Bancroft, Robert S. Gutsell, and J. E. Rutzler, Jr.
Proc Natl Acad Sci U S A. 1931 December; 17(12): 637–642.
PMCID: PMC1076135
Genetics
Linkage Values in an Interchange Complex in Zea
Marcus M. Rhoades
Proc Natl Acad Sci U S A. 1931 December; 17(12): 694–698.
PMCID: PMC1076147
Modification of Mendelian Ratios in Maize by Mechanical Separation of Gametes
P. C. Mangelsdorf
Proc Natl Acad Sci U S A. 1931 December; 17(12): 698–700.
PMCID: PMC1076148
A Probable New Mutation to White-Belly in the House Mouse, Mus Musculus
Clyde E. Keeler
Proc Natl Acad Sci U S A. 1931 December; 17(12): 700–703.
PMCID: PMC1076149
Mathematics
Further Properties of Abelian Integrals Attached to Algebraic Varieties
W. V. D. Hodge
Proc Natl Acad Sci U S A. 1931 December; 17(12): 643–650.
PMCID: PMC1076136
Proof of a Recurrence Theorem for Strongly Transitive Systems
George D. Birkhoff
Proc Natl Acad Sci U S A. 1931 December; 17(12): 650–655.
PMCID: PMC1076137
Proof of the Ergodic Theorem
George D. Birkhoff
Proc Natl Acad Sci U S A. 1931 December; 17(12): 656–660.
PMCID: PMC1076138
Summary of Results and Proofs on Fermat's Last Theorem. (Sixth Paper)
H. S. Vandiver
Proc Natl Acad Sci U S A. 1931 December; 17(12): 661–673.
PMCID: PMC1076140
Properties of Group Manifolds
P. A. Smith
Proc Natl Acad Sci U S A. 1931 December; 17(12): 674–675.
PMCID: PMC1076141
On a Polar Representation of Non-Singular Square Matrices
A. Wintner and F. D. Murnaghan
Proc Natl Acad Sci U S A. 1931 December; 17(12): 676–678.
PMCID: PMC1076142
Note on the Heaviside Expansion Formula
Joseph M. Dalla Valle
Proc Natl Acad Sci U S A. 1931 December; 17(12): 678–684.
PMCID: PMC1076143
The Distribution of Chi-Square
Edwin B. Wilson and Margaret M. Hilferty
Proc Natl Acad Sci U S A. 1931 December; 17(12): 684–688.
PMCID: PMC1076144
Relations between Confluent Hypergeometric Functions
H. Bateman
Proc Natl Acad Sci U S A. 1931 December; 17(12): 689–690.
PMCID: PMC1076145
Groups Involving a Small Number of Conjugates
G. A. Miller
Proc Natl Acad Sci U S A. 1931 December; 17(12): 691–694.
PMCID: PMC1076146
Psychology and Anthropology
The Natural History of the Vibrato
Carl E. Seashore
Proc Natl Acad Sci U S A. 1931 December; 17(12): 623–626.
PMCID: PMC1076132
Measures of Certain Human Abilities throughout the Life Span
Walter R. Miles
Proc Natl Acad Sci U S A. 1931 December; 17(12): 627–633.
PMCID: PMC1076133
The Use of Rock Crystal by Paleolithic Man
George Grant MacCurdy
Proc Natl Acad Sci U S A. 1931 December; 17(12): 633–637.
PMCID: PMC1076134
Correction
A Set of Axioms for Differential Geometry
Proc Natl Acad Sci U S A. 1931 December; 17(12): 660.
PMCID: PMC1076139
Corrects: O. Veblen, et al. A Set of Axioms for Differential Geometry. Proc Natl Acad Sci U S A. 1931 October; 17(10): 551–561.
Journal Matter
Administrative content — journal masthead, notices, indexes, etc.
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