Codex @codex  0

By Keith Conrad.

Online text: kconrad.math.uconn.edu/blurbs/ugradnumthy/ordersmodm.pdf

Cited passages: Keith Conrad, Orders of Units in Modular Arithmetic, pp. 7–8, Theorem 4.5 and Remark 4.9.

By Keith Conrad.

Online text: kconrad.math.uconn.edu/blurbs/ugradnumthy/eulerthm.pdf

Cited passages: Keith Conrad, Euler's Theorem, p. 1, Theorem 1.2; pp. 2–3, permutation of the units and cancellation.

By Victor Shoup.

Publisher: Cambridge University Press.

Publication information: shoup.net/ntb/

Online text: shoup.net/ntb/ntb-v2.pdf

Cited passages: Victor Shoup, A Computational Introduction to Number Theory and Algebra, Section 6.5, pp. 156–157, Theorem 6.29; multiplicative notation on p. 153; Victor Shoup, A Computational Introduction to Number Theory and Algebra, second edition, Section 6.5, pp. 153 and 156–157, Theorem 6.29.

By Milan Mossé.

Online text: web.stanford.edu/~marykw/classes/CS250_W19/Netwons_Identities.pdf

Cited passages: §1 pp1–3 statements, historical Girard/Newton account; §4 pp6–8 logarithmic derivative proof; primary authored PDF text inspected.

By Jan Verschelde.

Online text: homepages.math.uic.edu/~jan/mcs563s14/lec12.pdf

Cited passages: Title and date Feb10 2014; §4 p3 Eq15–37, §5 p4 Eq38–42; p3 screenshot inspected.

By Wassily Hoeffding.

Published in Journal of the American Statistical Association, volume 58, issue 301, pp. 13–30.

Online text: doi.org/10.1080/01621459.1963.10500830

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

Publisher: Stanford University (official CS229 hosting).

By Gilbert Strang.

Publisher: Wellesley-Cambridge Press.

By Tobin A. Driscoll, Richard J. Braun.

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

Online text: scholarlycommons.pacific.edu/euler-works/53/

Cited passages: Euler Archive, E53: written date, publication date, original source citation.

By Leonhard Euler.

Published in Commentarii academiae scientiarum Petropolitanae.

Online text: www.cantab.net/users/michael.behrend/repubs/maze_maths/pages/euler.html

Cited passages: Solutio problematis ad geometriam situs pertinentis, §§6, 9, 20.

An edited online reference published by National Institute of Standards and Technology. The authorship tags on individual chapters refer to the credited chapter contributors, not to authorship of the entire reference.

Official website: dlmf.nist.gov/

Project description: dlmf.nist.gov/about/

By Jeremy Orloff, named on the first page of the notes for MIT 18.04, Complex Variables with Applications, Spring 2018. The credit here refers to this authored set of notes.

Official course resource: ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/resources/mit18_04s18_topic11/

Online text: ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/44f1db513a6a17d655abe0b6ff7748fc_MIT18_04S18_topic11.pdf

Cited passages: §11.2, Theorems 11.1 and 11.4, pp. 1–3, gives the argument principle and its residue theorem explanation; §11.2.3 covers Rouché's theorem; §11.3.6 explains the Nyquist stability criterion, including the sign from the clockwise contour used there. Our rational-function and sparse-sampling examples and images are independently calculated.

By Gavin C. Cawley, Nicola L. C. Talbot.

Published in Journal of Machine Learning Research, 11(70):2079–2107.

Online text: jmlr.org/papers/volume11/cawley10a/cawley10a.pdf

Cited passages: On Over-fitting in Model Selection and Subsequent Selection Bias in Performance Evaluation, introduction, pp. 2079–2080: selection as part of fitting and nested assessment.

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

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

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

By John A. Beachy, William D. Blair.

Publisher: Waveland Press, Inc..

By James S. Milne.

Online text: www.jmilne.org/math/CourseNotes/GT.pdf

Cited passages: Milne, Group Theory, corollary 4.8, printed page 61; Milne, Group Theory, example 4.6; Milne, corollary 4.8.

Additional cited passages: printed p. 57, Definition 4.1 and Example 4.2(c); p. 64, Action on the left cosets: stabilizer and kernel formulas preceding Remark 4.22, and Remark 4.22(a). James S. Milne is the verified sole author of the entire notes. The year 2025 identifies version 4.01; the cover and version-history dates differ by one day, so no exact publication day is assigned.