The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Theory of Positive Linear Dependence
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
Cites
Theory and Applications of Distance Geometry
Blumenthal, L. M. (1970) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,003
Cited by
Mesh Adaptive Direct Search Algorithms for Constrained Optimization
Audet, C., & Dennis, J. E. (2006) · SIAM Journal on Optimization · doi:10.1137/040603371 · Cited by 1,243
A rigorous framework for optimization of expensive functions by surrogates
Booker, A. J., Dennis, J. E., Frank, P. D., Serafini, D. B., Torczon, V., & Trosset, M. W. (1999) · Structural Optimization · doi:10.1007/bf01197708 · Cited by 960
Controlling the motion of multiple objects on a Chladni plate
Zhou, Q., Sariola, V., Latifi, K., & Liimatainen, V. (2016) · Nature Communications · doi:10.1038/ncomms12764 · Cited by 103
Metadata
- Authors
- Davis, C.
- Venue
- American Journal of Mathematics
- Publisher
- JSTOR
- Published
- 1954-10
- Volume
- 76
- Issue
- 4
- Pages
- 733
- ISSN
- 0002-9327 (ISSN-L)
- OpenAlex
- W2312715465
- Cited by
- 283
- References
- 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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: Theory of Positive Linear Dependence. https://app.cochat.ai/papers/10.2307/2372648
- The paper
- Davis, C. (1954). Theory of Positive Linear Dependence. American Journal of Mathematics. https://doi.org/10.2307/2372648
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.