The DOI matches its Crossref record.
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I
Open accessAbstract
11 No attempt was made to detect autosomal recessives.12 The F2 progenies derived from X YY males and C1B females were examined micro- scopically in order to eliminate the possibility that patroclinous sons resulting from secondary non-disjunction might mask a lethal.13 Breeding tests were conducted on all flies showing conspicuous, symmetrical altera- tions in phenotype, and such changes were scored as mutants even in those cases where inviability or sterility prevented actual progeny counts.14 It should be noted that it was not possible to compare the recessive lethal rates in the two kinds of sperm (X and X Y) from X YY males, as was possible in the case of visibles.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Wehrl, A. (1978) · Reviews of Modern Physics · doi:10.1103/revmodphys.50.221 · Cited by 1,963
The Constrained Laplacian Rank Algorithm for Graph-Based Clustering
Nie, F., Wang, X., Jordan, M., & Huang, H. (2016) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v30i1.10302 · Cited by 837
Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
Fan, K. (1951) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.37.11.760 · Cited by 459
Self-citationMajorization, doubly stochastic matrices, and comparison of eigenvalues
Ando, T. (1989) · Linear Algebra and its Applications · doi:10.1016/0024-3795(89)90580-6 · Cited by 305
Liang, C., Wang, L., Liu, L., Zhang, H., & Guo, F. (2023) · Pattern Recognition · doi:10.1016/j.patcog.2023.109632 · Cited by 72
Metadata
- Authors
- Fan, K.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1949-11
- Volume
- 35
- Issue
- 11
- Pages
- 652-655
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W1975172027
- Cited by
- 1,016
- References
- 0
- FWCI
- 2.70
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I. https://app.cochat.ai/papers/10.1073/pnas.35.11.652
- The paper
- Fan, K. (1949). On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.35.11.652
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
