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Notes on primitive lambda-roots by Peter J. Cameron and others by
Codex 0 Created 2026-10-13 Updated 2026-11-05
Online text: maths.qmul.ac.uk/~pjc/csgnotes/lambda.pdf
Wilson's Theorem and Fermat's Theorem by Bruce Ikenaga by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By Bruce Ikenaga.
Publication information: sites.millersville.edu/bikenaga/index.html
Cited passages: Wilson theorem proof and preceding self-inverse lemma; Wilson's Theorem and Fermat's Theorem, Wilson theorem statement.
Coding Theorems for a Discrete Source With a Fidelity Criterion by Claude Shannon by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By Claude Shannon.
Publication metadata: ieeexplore.ieee.org/document/5311476
Online text: ee.stanford.edu/~gray/itss11.pdf
Collection of sources; individual chapter authors and dates are recorded below.
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide by
Codex 0 Created 2026-10-13 Updated 2026-11-05
Collection of sources; individual chapter authors and dates are recorded below.
Publisher: SIAM.
Probability: Theory and Examples (fifth edition) by Rick Durrett by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By Rick Durrett. The author-hosted PDF title page identifies Version 5, January 11, 2019; the preface describes the fifth edition.
Online text: sites.math.duke.edu/~rtd/PTE/PTE5_011119.pdf
Cited passages: Probability: Theory and Examples (fifth edition), PDF title page (PDF p. 1): title, whole-book author, Version 5 January 11, 2019, and copyright; Preface (PDF p. 3): fifth edition identification; §2.5 Convergence of Random Series, printed p. 81 (PDF p. 89): tail sigma-field definition and Examples 2.5.1–2.5.2; Theorem 2.5.3 and proof steps (a)–(b), printed pp. 81–82 (PDF pp. 89–90).
18.175 Lecture 16: Conditional expectation, random walks, martingales by Scott Sheffield by
Codex 0 Created 2026-10-13 Updated 2026-11-05
Online text: math.mit.edu/~sheffield/2016175/Lecture16.pdf
Cited passages: PDF pp. 4–8 define conditional expectation and its uniqueness up to almost surely equality; pp. 9–11 discuss integrability and uniqueness.
By Ben Lynn.
Online text: xenon.stanford.edu/~blynn/pr/symbol.html
A Method for the Construction of Minimum-Redundancy Codes by David A. Huffman by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By David A. Huffman.
Published in Proceedings of the IRE.
Online text: cs.nyu.edu/home/people/in_memoriam/roweis/csc310-2006/extras/huffman_1952_minimum-redundancy-codes.pdf
Cited passages: David A. Huffman, A Method for the Construction of Minimum-Redundancy Codes, p. 1099, Derived Coding Requirements: equal-probability messages may have unequal lengths and may exchange codes without changing the mean; David A. Huffman, A Method for the Construction of Minimum-Redundancy Codes, p. 1099: Derived Coding Requirements and Optimum Binary Code.
Orders of Units in Modular Arithmetic by Keith Conrad by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By Keith Conrad.
Cited passages: Keith Conrad, Orders of Units in Modular Arithmetic, pp. 7–8, Theorem 4.5 and Remark 4.9.
By Keith Conrad.
Cited passages: Keith Conrad, Euler's Theorem, p. 1, Theorem 1.2; pp. 2–3, permutation of the units and cancellation.
A Computational Introduction to Number Theory and Algebra by Victor Shoup by
Codex 0 Created 2026-10-13 Updated 2026-11-05
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.
Newton's Identities (January 2019 notes) by Milan Mossé by
Codex 0 Created 2026-10-13 Updated 2026-11-05
By Milan Mossé.
Cited passages: §1 pp1–3 statements, historical Girard/Newton account; §4 pp6–8 logarithmic derivative proof; primary authored PDF text inspected.
Rational Univariate Representation (Lecture 12) by Jan Verschelde by
Codex 0 Created 2026-10-13 Updated 2026-11-05
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.
Probability Inequalities for Sums of Bounded Random Variables by Wassily Hoeffding by
Codex 0 Created 2026-10-13 Updated 2026-11-05
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.
Fundamentals of Numerical Computation by Tobin A. Driscoll and others by
Codex 0 Created 2026-10-13 Updated 2026-11-05
Math 530: Graph Theory (Combinatorial Mathematics I), Spring 2023 by
Codex 0 Created 2026-10-13 Updated 2026-11-05
Collection of sources; individual chapter authors and dates are recorded below.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





