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Items: 1 to 20 of 22

1.
A Unified Model for Stress-Driven Rearrangement Instabilities
Shokhrukh Yu. Kholmatov, Paolo Piovano
Arch Ration Mech Anal. 2020; 238(1): 415–488. Published online 2020 Jun 20. doi: 10.1007/s00205-020-01546-y
PMCID:
PMC7343841
ArticlePDF–931K
2.
Existence of reservoir with finite-dimensional output for universal reservoir computing
Shuhei Sugiura, Ryo Ariizumi, Toru Asai, Shun-ichi Azuma
Sci Rep. 2024; 14: 8448. Published online 2024 Apr 11. doi: 10.1038/s41598-024-56742-7
PMCID:
PMC11006892
ArticlePDF–1.8M
3.
Isometric Immersions and the Waving of Flags
Martin Bauer, Jakob Møller-Andersen, Stephen C. Preston
Arch Ration Mech Anal. 2024; 248(3): 38. Published online 2024 Apr 16. doi: 10.1007/s00205-024-01978-w
PMCID:
PMC11021348
ArticlePDF–1.3M
4.
Arcs in Locally Compact Groups
Andrew M. Gleason
Proc Natl Acad Sci U S A. 1950 Nov; 36(11): 663–667. doi: 10.1073/pnas.36.11.663
PMCID:
PMC1063263
SummaryPage BrowsePDF–519K
5.
Concerning Perfect Continuous Curves
R. L. Wilder
Proc Natl Acad Sci U S A. 1930 Mar; 16(3): 233–240. doi: 10.1073/pnas.16.3.233
PMCID:
PMC1075977
SummaryPage BrowsePDF–814K
6.
A Topologized Fundamental Group
J. Dugundji
Proc Natl Acad Sci U S A. 1950 Feb; 36(2): 141–143. doi: 10.1073/pnas.36.2.141
PMCID:
PMC1063149
SummaryPage BrowsePDF–310K
7.
Invariant Differential Forms in Several Group Variables as Solutions of Partial Differential Equations in Fréchet Differentials
Aristotle D. Michal
Proc Natl Acad Sci U S A. 1951 Nov; 37(11): 766–771. doi: 10.1073/pnas.37.11.766
PMCID:
PMC1063465
SummaryPage BrowsePDF–602K
8.
Homotopy Relations in Fibre Spaces
W. Hurewicz, N. E. Steenrod
Proc Natl Acad Sci U S A. 1941 Jan 15; 27(1): 60–64. doi: 10.1073/pnas.27.1.60
PMCID:
PMC1078274
SummaryPage BrowsePDF–469K
9.
Intrinsic Area
Herbert Busemann
Proc Natl Acad Sci U S A. 1946 Jan; 32(1): 5–8. doi: 10.1073/pnas.32.1.5
PMCID:
PMC1078863
SummaryPage BrowsePDF–361K
10.
The Homotopy Groups of a Triad
A. L. Blakers, William S. Massey
Proc Natl Acad Sci U S A. 1949 Jun; 35(6): 322–328. doi: 10.1073/pnas.35.6.322
PMCID:
PMC1063027
SummaryPage BrowsePDF–651K
11.
On Complexes with Operators
Beno Eckmann
Proc Natl Acad Sci U S A. 1953 Jan; 39(1): 35–42. doi: 10.1073/pnas.39.1.35
PMCID:
PMC1063721
SummaryPage BrowsePDF–857K
12.
CUT POINTS IN GENERAL TOPOLOGICAL SPACES
Gordon T. Whyburn
Proc Natl Acad Sci U S A. 1968 Oct; 61(2): 380–387. doi: 10.1073/pnas.61.2.380
PMCID:
PMC225168
SummaryPage BrowsePDF–955K
13.
CHARACTERIZATION OF CONTINUOUS CURVES THAT ARE PERFECTLY CONTINUOUS
R. L. Wilder
Proc Natl Acad Sci U S A. 1929 Jul 15; 15(7): 614–621. doi: 10.1073/pnas.15.7.614
PMCID:
PMC522518
SummaryPage BrowsePDF–756K
14.
On mathematical structures on pairwise comparisons matrices with coefficients in an abstract group arising from quantum gravity
Jean-Pierre Magnot
Heliyon. 2019 Jun; 5(6): e01821. Published online 2019 Jun 17. doi: 10.1016/j.heliyon.2019.e01821
PMCID:
PMC6584780
ArticlePDF–477K
15.
On Homotopy Groups
Samuel Eilenberg
Proc Natl Acad Sci U S A. 1940 Sep 15; 26(9): 563–565. doi: 10.1073/pnas.26.9.563
PMCID:
PMC1078230
SummaryPage BrowsePDF–277K
16.
Determination of the Second Homology and Cohomology Groups of a Space by Means of Homotopy Invariants
Samuel Eilenberg, Saunders MacLane
Proc Natl Acad Sci U S A. 1946 Nov; 32(11): 277–280. doi: 10.1073/pnas.32.11.277
PMCID:
PMC1078947
SummaryPage BrowsePDF–382K
17.
ON COMPACTNESS OF MAPPINGS
G. T. Whyburn
Proc Natl Acad Sci U S A. 1964 Dec; 52(6): 1426–1431. doi: 10.1073/pnas.52.6.1426
PMCID:
PMC300463
SummaryPage BrowsePDF–719K
18.
CONTINUITY OF MULTIFUNCTIONS
G. T. Whyburn
Proc Natl Acad Sci U S A. 1965 Dec; 54(6): 1494–1501. doi: 10.1073/pnas.54.6.1494
PMCID:
PMC300501
SummaryPage BrowsePDF–992K
19.
Cohomology Theory of Abelian Groups and Homotopy Theory I
Samuel Eilenberg, Saunders MacLane
Proc Natl Acad Sci U S A. 1950 Aug; 36(8): 443–447. doi: 10.1073/pnas.36.8.443
PMCID:
PMC1063217
SummaryPage BrowsePDF–433K
20.
Relations between Homology and Homotopy Groups
Samuel Eilenberg, Saunders MacLane
Proc Natl Acad Sci U S A. 1943 May; 29(5): 155–158. doi: 10.1073/pnas.29.5.155
PMCID:
PMC1078572
SummaryPage BrowsePDF–334K

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