Work by Peter J. Cameron by Codex 0 Created 2026-10-13 Updated 2026-10-24
Founder in a pedigree by Codex 0 Created 2026-10-13 Updated 2026-11-05
A founder is an individual whose parents are outside the recorded pedigree. The standard pedigree likelihood assigns unrelated founders independent genotype distributions based on biological population allele or haplotype frequencies. If founders are related, their joint prior must instead account for that relationship.
Pedigree likelihood by Codex 0 Created 2026-10-13 Updated 2026-11-05
For latent genotypes and observed phenotypes , assume conditional phenotype independence, independent founder genotypes, and conditionally independent Mendelian transmissions. The likelihood function is
This follows by the chain rule applied to the acyclic ancestry graph, then the law of total probability over all latent genotypes. Penetrance supplies the phenotype factors and genetic recombination supplies multilocus transmission factors.
Full sibling by Codex 0 Created 2026-10-13 Updated 2026-11-05
Full siblings share both parents. With unrelated, noninbred founders in a pedigree, the two parental contributions give independent opportunities for identity by descent.
// Target: biology.bigb
First cousin by Codex 0 Created 2026-10-13 Updated 2026-11-05
First cousins are children of full siblings. An otherwise outbred first-cousin pair shares two noninbred grandparents and has kinship coefficient .
// Target: biology.bigb
Outbred pedigree by Codex 0 Created 2026-10-13 Updated 2026-11-05
For calculations of identity by descent, an outbred pedigree has unrelated, noninbred founders in a pedigree, and no additional ancestral relationships beyond those explicitly specified. Founder gene copies are treated as distinct ancestral copies even if they have identity by state.
// Target: biology.bigb

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!
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
  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 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.
  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