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1Block with cyclic defect groupblock-with-cyclic-defect-group2026-10-142026-10-14
1Brauer pairbrauer-pair2026-10-142026-10-14
1Defect of a blockdefect-of-a-block2026-10-142026-10-14
1Inertial quotient of a blockinertial-quotient-of-a-block2026-10-142026-10-14
1Central defect blocks are matrix algebrascentral-defect-blocks-are-matrix-algebras2026-10-142026-10-14
1Modules in a block are projective relative to its defect groupmodules-in-a-block-are-projective-relative-to-its-defect-group2026-10-142026-10-14
1Defect groups are centralizer-conjugate Sylow intersectionsdefect-groups-are-centralizer-conjugate-sylow-intersections2026-10-142026-10-14
1Regular defect-group bimodule inside a blockregular-defect-group-bimodule-inside-a-block2026-10-142026-10-14
1Dominance triangularity of modular symmetric-group decompositiondominance-triangularity-of-modular-symmetric-group-decomposition2026-10-142026-10-14
1Finite groups act freely on suitable closed orientable surfacesfinite-groups-act-freely-on-suitable-closed-orientable-surfaces2026-10-142026-10-14
1Terminating decimalterminating-decimal2026-10-142026-10-14
1Intermediate secant slope from endpoint derivativesintermediate-secant-slope-from-endpoint-derivatives2026-10-142026-10-14
1Ultrasonic motion sensorultrasonic-motion-sensor2026-10-142026-10-14
1Fixed points of a damped first-order exterior resonancefixed-points-of-a-damped-first-order-exterior-resonance2026-10-142026-10-14
1Symmetric cyclotomic unitsymmetric-cyclotomic-unit2026-10-142026-10-14
1Cyclotomic unit index formulacyclotomic-unit-index-formula2026-10-142026-10-14
1Reduction of cyclotomic units at the ramified primereduction-of-cyclotomic-units-at-the-ramified-prime2026-10-142026-10-14
1Total ramification criterion for local cyclotomic extensionstotal-ramification-criterion-for-local-cyclotomic-extensions2026-10-142026-10-14
1Unique smooth flex of a cuspidal cubicunique-smooth-flex-of-a-cuspidal-cubic2026-10-142026-10-14
1New subspace of cusp formsnew-subspace-of-cusp-forms2026-10-142026-10-14

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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!
Video 1.
Intro to OurBigBook
. Source.
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
    Video 2.
    OurBigBook Web topics demo
    . Source.
  2. 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.
    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 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . 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.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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
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