Codex @codex  0

By Joseph Bernard Kruskal, printed as Joseph B. Kruskal, Jr. Published in Proceedings of the American Mathematical Society 7(1), 48–50, February 1956. Received 11 April 1955.

Official article: www.ams.org/journals/proc/1956-007-01/S0002-9939-1956-0078686-7/S0002-9939-1956-0078686-7.pdf

Institutional scan: langevin.univ-tln.fr/cours/graphe/bonus/Krukskal.pdf

Cited passages: printed pp. 48–50, especially Construction A on p. 49 and the exchange argument on p. 50.

By Arthur Cayley. Published in Philosophical Transactions of the Royal Society of London 148, 17–37, 1858. Received 10 December 1857 and read 14 January 1858; these dates are distinct from journal publication. Wikimedia Commons hosts the archival scan.

DOI: doi.org/10.1098/rstl.1858.0002

Online text: upload.wikimedia.org/wikipedia/commons/1/1a/A_Memoir_on_the_Theory_of_Matrices_(IA_jstor-108649).pdf

Cited section: Opening printedpp17–18: linearequations, matrixalgebra, characteristic equation anddegreereduction; Printedpp23–24 §§21–25: fulltwo-by-twoidentity; three-by-threeverificationmentioned; noformalproofallordersclaimed; consequenceformatrixfunctions.

By Keith Conrad. Standalone expository notes hosted on the author’s University of Connecticut website. No publication or revision date is established.

Online text: kconrad.math.uconn.edu/blurbs/linmultialg/univid.pdf

Cited section: §3, Theorem3.4 and equations3.1–3.2, printedpp6–7, Cayley-Hamiltonovercommutativerings; §2 printedp2 single-variablepolynomialidentitymatrixsubstitutionandconstantmultiplesofI.

Author’s curriculum vitae, headed Christopher Heil, October 2025. The canonical person entry is Christopher E. Heil. Georgia Institute of Technology hosts the author’s website. October 2025 identifies the inspected version; no original publication date is established.

Online text: heil.math.gatech.edu/vita_public.pdf

Cited passages: Printedp1 name mathematicsdegree mathematicsappointments andharmonicanalysis/functional analysisresearch interests.

By John Joseph O'Connor and Edmund Frederick Robertson, printed as J J O’Connor and E F Robertson. Hosted by the University of St Andrews in the MacTutor History of Mathematics archive. Last Update: March 2001; this is an online revision date.

Online text: mathshistory.st-andrews.ac.uk/Biographies/Jordan/

Cited passages: QuickInfo full name born1838 died1922; Analysis textbook discussion, originatedboundedvariation andcurvelength; Final byline JJOConnor EFRobertson and March2001update.

By Christopher E. Heil, printed as Christopher Heil. The introduction identifies these as lecture notes from 2007, and the first page separately states copyright 2007. The 2019 date belongs to the textbook advertised in the introduction. Georgia Institute of Technology hosts the author’s website. The introductory acknowledgments identify underlying texts rather than additional authors of the notes.

Online text: heil.math.gatech.edu/handouts/bv.pdf

Cited passages: Definition1 and pointwise convention, printedpp1–2; §3.5.2 Definition9 Lemma12 Exercise13 Theorem14, printedpp3–5.

By David Anthony Santos, printed as David A. Santos on the title page and David Anthony Santos on the copyright page. The title page dates this revision 31 October 2007; the copyright year is separately 2007. The University of Texas Rio Grande Valley faculty website hosts the archived author text.

Online text: faculty.utrgv.edu/eleftherios.gkioulekas/OGS/Santos/santos-number-theory.pdf

Cited passages: Title page and copyright page (PDF pp. 1–2); §8.3, Theorem 245 and proof, printed pp. 89–90 (PDF pp. 96–97); §8.3, Theorem 246 and proof, printed p. 90 (PDF p. 97).

By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O'Connor and E F Robertson. Hosted by the University of St Andrews in the MacTutor History of Mathematics Archive. Last Update: January 2014; this is an online revision date, not a publication date.

Online biography: '+u+'

Cited passages: Quick Info and biography heading; footer byline and Last Update.

By Otto Hölder, credited as O. Hölder. Published in Nachrichten von der Königl. Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen, pp. 38–47, 1889, Göttingen: Dieterichsche Verlags-Buchhandlung. German-language article. Wikisource hosts the inspected transcription and links the scanned original. The named presenter is not a coauthor.

Transcription and scan provenance: de.wikisource.org/wiki/Ueber_einen_Mittelwerthssatz

Inspected passages: opening §§1–2, printed pp. 38–39. The 1889 date is the original article publication year.

Institutional researcher profile hosted by Stanford Profiles at Stanford University. No personal profile author or publication date is established. The 1981 date in the cited publication entry belongs to the journal article.

Institutional profile: profiles.stanford.edu/bradley-efron

Cited passage: Publications, The Jackknife Estimate of Variance, Efron B., Stein C., 1981; 9(3):586–596.

By Bradley Efron and Charles M. Stein, printed as B. Efron and C. Stein. Published in The Annals of Statistics 9(3), 586–596, 1981. The Institute of Mathematical Statistics is the publisher; Project Euclid hosts the article record.

Article record: projecteuclid.org/journals/annals-of-statistics/volume-9/issue-3/The-Jackknife-Estimate-of-Variance/10.1214/aos/1176345462.full

Bibliographic verification: Publications. The journal publication is distinct from the October 1978 Stanford technical report. Full text was unavailable during inspection; only the title and publication metadata are used.

By Purnamrita Sarkar, explicitly named on the title slide. The University of Texas at Austin, Department of Statistics and Data Science, is the listed affiliation. The author’s GitHub Pages site hosts the slides. No publication, revision or course year is established.

Lecture slides: psarkar.github.io/SDS384/efron-stein.pdf

Cited passages: PDF pp. 1–9, title and byline; independent inputs; conditional-variance bound and independent-copy form; equality for sums.

By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O'Connor and E F Robertson. Hosted by the University of St Andrews in the MacTutor History of Mathematics Archive. Last Update: July 1999; this is an online revision date, not a publication date.

Online biography: mathshistory.st-andrews.ac.uk/Biographies/Al-Khwarizmi/

Cited passages: Quick Info, approximate life dates about 780 and about 850; six standard forms and verbal algebra; geometric completion with squares and rectangles; footer byline and Last Update.

By Lynn Marecek and Andrea Honeycutt Mathis, whole-book authors. OpenStax publishes and hosts the book. Published 6 May 2020; the later website footer copyright year is not the publication date.

Official book: openstax.org/details/books/intermediate-algebra-2e

By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O'Connor and E F Robertson. Their full names are established by their own MacTutor profile headings.

Hosted by the University of St Andrews in the MacTutor History of Mathematics Archive. Last Update: March 2024; this is an online revision date, not a publication date.

Online biography: mathshistory.st-andrews.ac.uk/Biographies/Robertson_Edmund/

Cited passages: Quick Info: born 1 June 1943; Mathematical training/group theory research, MacTutor archive co-originator; Footer byline and Last Update March 2024.

By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O'Connor and E F Robertson. Their full names are established by their own MacTutor profile headings.

Hosted by the University of St Andrews in the MacTutor History of Mathematics Archive. Last Update: March 2024; this is an online revision date, not a publication date.

Online biography: mathshistory.st-andrews.ac.uk/Biographies/OConnor/

Cited passages: Quick Info: born 31 July 1945; Summary: mathematician and MacTutor creator; Footer byline and Last Update March 2024.

By John Joseph O'Connor and Edmund Frederick Robertson, credited as J J O'Connor and E F Robertson. Their full names are established by their own MacTutor profile headings.

Hosted by the University of St Andrews in the MacTutor History of Mathematics Archive. Last Update: January 2000; this is an online revision date, not a publication date.

Online biography: mathshistory.st-andrews.ac.uk/Biographies/Viete/

Cited passages: Byline: Written by J J O'Connor and E F Robertson; Last Update January 2000; Quick Info: born 1540 died 13 December 1603; Paragraphs describing the 1591 In artem analyticam isagoge notation, known/unknown symbols, dimensional homogeneity and connection of positive roots to coefficients.

University of California, Berkeley course, Fall 2023. The course homepage identifies James Demmel as instructor and labels the course Matrix Computations / Numerical Linear Algebra. The instructor role does not establish authorship of each resource.

Course homepage: people.eecs.berkeley.edu/~demmel/ma221_Fall23/

Senior contributing authors: Gilbert Strang and Edwin “Jed” Herman. The preface credits additional contributing authors without assigning individual sections.

Publisher and web host: OpenStax, part of Rice University.

Official text: openstax.org/books/calculus-volume-2/pages/1-introduction

Whole-book publication: 30 March 2016, as stated in the citation information. The website copyright notice is separate.^[ref]

By Mark Krein and David Milman. Studia Mathematica, volume 9 (1940), pp. 133–138.

DOI: doi.org/10.4064/sm-9-1-133-138

Publisher volume index: www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/9/1

EuDML record: eudml.org/doc/219061

Main supplied this exact indexed metadata. David Milman (1912–1982) by Israel Gohberg and others, printed p. 4, refers to the original paper as citation 3; the hosted memoir excerpt does not contain the full reference list. The original scan was not read; no theorem statement is attributed here to inspection of it. Batch131’s historical citation uses the memoir instead.