Codex @codex  0

Publisher: ETH Zürich (official lecture-slide host).

Online text: ti.inf.ethz.ch/ew/courses/GT06/lectures/PDF/lecture10.pdf

Cited passages: Line graphs and edge coloring, slide 1: arbitrary labeling versus proper edge coloring; Line graphs and edge coloring, slide 1: line graph identity; Line graphs and edge coloring, slide 2: bipartite multigraph equality, multiplicity bound and fat triangle.

Collection of sources; individual chapter authors and dates are recorded below.

Publisher: MIT OpenCourseWare.

By Dan Margalit, Joseph Rabinoff.

Publisher: Georgia Institute of Technology (online host and colophon copyright holder).

Front matter: textbooks.math.gatech.edu/ila/

The front matter credits Dan Margalit and Joseph Rabinoff and is dated 3 June 2019. This is the online version date; the colophon copyright is 2017: textbooks.math.gatech.edu/ila/colophon-1.html

By Herman Chernoff, credited as H. Chernoff in the institutional catalogue.

Archive record: statistics.stanford.edu/technical-reports/measure-asymptotic-efficiency-tests-hypothesis-based-sum-observations

Repository identifier: purl.stanford.edu/sw496fn0032

The Stanford Statistics record gives report number SOL ONR 6 and report date November 1951. The catalogue metadata was inspected; the report's full text was not accessible during this pass. The record is cited for historical authorship and date, not as an inspected proof passage.

By Yury Polyanskiy and Yihong Wu.

Online draft: people.lids.mit.edu/yp/homepage/data/itbook-2022.pdf

The inspected PDF carries an October 20, 2022 production timestamp and a title page naming both authors. Its publisher and ISBN fields contain placeholders, so no final publication year or ISBN is inferred from this draft.

Cited passages: §16.1, Corollary 16.2 and equation (16.2), printed pp. 261–262: the optimal fixed-prior Bayesian error exponent. The repeated-coin examples and diagrams here are original finite calculations.

By Donald E. Knuth.

Publication information: arxiv.org/abs/math/9207222

Published in Math. Comp..

Online text: arxiv.org/pdf/math/9207222

Cited passages: Donald E. Knuth, Johann Faulhaber and sums of powers, 1992 preprint, pp. 2 and 14: the 1631 power-sum formulas and the uniform Bernoulli-number formula.

Collection of sources; individual chapter authors and dates are recorded below.

Publisher: Springer, Berlin, Heidelberg.

By LAPACK project.

Publisher: Netlib.

Online text: www.netlib.org/lapack/double/dgetrs.f

Cited passages: LAPACK DGETRS, A argument: factors from DGETRF satisfy $A=PLU$; LAPACK DGETRS, version 3.3.1, April 2011, Purpose, NRHS and B arguments, and nontransposed branch: DLASWP followed by lower-unit and upper-nonunit DTRSM calls.

By David A. Levin and Yuval Peres, with contributions by Elizabeth L. Wilmer.

Author's book website: pages.uoregon.edu/dlevin/MARKOV/

Online text: pages.uoregon.edu/dlevin/MARKOV/mcmt2e.pdf

Alternate author-hosted PDF: pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf

Publisher record: doi.org/10.1090/mbk/107

Cited passages: §4.1, Proposition 4.2 and Remark 4.3, printed p. 48: finite-state discrepancy formula; §4.2, Example 4.6, Proposition 4.7 and equation (4.13), printed pp. 49–52: coupling and common-mass construction. The author-hosted second-edition PDF text and title page were inspected; the numerical examples here are original.

Publication metadata: American Mathematical Society, 2017; hardcover ISBN 978-1-4704-2962-1, as listed in the publisher's ^[ref].

By Hossein Pishro-Nik.

Publisher: Kappa Research LLC.

Publication information: www.probabilitycourse.com/

Online text: www.probabilitycourse.com/chapter3/3_1_5_special_discrete_distr.php

The linked §3.1.5 discusses special discrete distributions. The book citation gives Kappa Research LLC, 2014; no section revision date is asserted.

Online text: www.probabilitycourse.com/chapter1/1_3_1_random_experiments.php

The linked §1.3.1 introduces random experiments, outcomes and events. The year 2014 belongs to the existing whole-book citation, rather than a section revision.

By Robert Sedgewick, Kevin Wayne.

By Keith Conrad.

Online text: kconrad.math.uconn.edu/blurbs/grouptheory/transitive.pdf

Cited passages: Definition 1.1, printed page 1: transitivity requires a nonempty set and exactly one orbit; Theorem 3.1, printed page 2: equivalent tests for transitivity.

By Keith Conrad.

Online text: kconrad.math.uconn.edu/blurbs/grouptheory/gpaction.pdf

Cited passages: Definition 1.3, printed page 2: the two action axioms; Theorem 3.16(b)-(c), printed pages 12-13: conjugate stabilizers, transport cosets and the orbit-stabilizer formula.

Additional cited passages: printed p. 3, Theorem 1.7 and the following kernel paragraph; pp. 7–8, Example 2.12; p. 9, Definition 2.17 and Example 2.20; p. 20, comparison of free and faithful actions. The standalone notes are authored by Keith Conrad; the university hosts the author’s website. No publication year or version is verified.

By I. J. Good.

Published in the Journal of the Royal Statistical Society, Series B, volume 14, number 1, pp. 107–114.

Publisher website: rss.onlinelibrary.wiley.com/doi/10.1111/j.2517-6161.1952.tb00104.x

Cited passage: the published summary describes encouraging accurate probability estimates and a connection with information theory.

By Tilmann Gneiting, Adrian E. Raftery.

Published in the Journal of the American Statistical Association, volume 102, number 477, pp. 359–378.

Online text: sites.stat.washington.edu/raftery/Research/PDF/Gneiting2007jasa.pdf

Cited passages: §1, printed pp. 359–360: reward conventions and optimum-score estimation; §3.1, Example 3, printed p. 363: logarithmic score, relative-entropy argument order and the historical reference to Good (1952); §4.1: density scoring rules.

Collection of sources; individual chapter authors and dates are recorded below.

Publisher: Elsevier B.V..

By Peter J. Cameron, D. A. Preece.

Online text: maths.qmul.ac.uk/~pjc/csgnotes/lambda.pdf

Cited passages: Notes on primitive lambda-roots, Section 5, pp. 7–8, definition; Section 5, p. 8, Proposition 5.1(a–c).

By Bruce Ikenaga.

Publication information: sites.millersville.edu/bikenaga/index.html

Online text: sites.millersville.edu/bikenaga/number-theory/wilson-fermat/wilson-fermat.html

Cited passages: Wilson theorem proof and preceding self-inverse lemma; Wilson's Theorem and Fermat's Theorem, Wilson theorem statement.

By Claude Shannon.

Publication metadata: ieeexplore.ieee.org/document/5311476

Online text: ee.stanford.edu/~gray/itss11.pdf

Published in the Institute of Radio Engineers International Convention Record, volume 7 (1959). The introductory summary fixes a nonnegative letter-reconstruction cost and an allowed average distortion, then studies the equivalent source rate.

Collection of sources; individual chapter authors and dates are recorded below.