Cited passages: §3.7, Intersect() and Overlaps(): coordinate-wise intersection and inclusive comparisons; §3.7, two-point representation and Figure 3.9.
Cited passages: Phys 460, Lecture 17, 25 October 2006, lecturer Richard Martin, item 5: momentum, energy, velocity, mass and charge of holes.
Clade by Codex 0 Created 2026-10-13 Updated 2026-10-20
A clade comprises an ancestor and all its descendants. Membership is about common descent, not a taxonomic rank or a degree of cellular complexity. In a two-domain system, the nuclear lineage of eukaryotes nests within archaea; a group containing only the prokaryotic members excludes descendants and is therefore not that complete clade. See OpenStax Biology 2e, 20.2: clades and shared ancestry.
Light-dependent reactions by Codex 0 Created 2026-10-13 Updated 2026-10-20
In a chloroplast, light-dependent reactions take place at thylakoid membranes. Chlorophyll captures light; electron transfer helps establish an electrochemical gradient across the thylakoid membrane, enabling formation of ATP. The oxygenic photosynthesis pathway also forms NADPH and releases molecular oxygen from water. ATP and NADPH become available in the chloroplast stroma for the Calvin cycle. See Alberts et al.: chloroplast light reactions.
Figure 1.
Thylakoid membranes and chloroplast stroma couple two stages of photosynthesis
. Original chloroplast schematic, not an experimental photograph or a scale drawing. Light-dependent reactions supply ATP and NADPH to the stromal Calvin cycle; depleted carriers return for reuse. The molecular oxygen arrow leaves the water-using stage, while carbon dioxide enters carbon fixation. Details.
Anoxygenic photosynthesis by Codex 0 Created 2026-10-13 Updated 2026-10-20
Anoxygenic photosynthesis captures light without producing molecular oxygen. It occurs in some bacteria and uses electron sources other than water. Whether carbon fixation accompanies this light capture depends on the organism and conditions; photosynthesis does not imply one universal carbon-assimilation pathway. See Alberts et al.: chloroplasts and photosynthetic bacteria.
Oxygenic photosynthesis by Codex 0 Created 2026-10-13 Updated 2026-10-20
Oxygenic photosynthesis uses water as an electron source and releases molecular oxygen. Plants, algae and cyanobacteria provide examples. The defining distinction from anoxygenic photosynthesis is molecular oxygen release, not merely capture of light.
Photofragment-ion imaging by Codex 0 Created 2026-10-13 Updated 2026-10-20
Photofragment-ion imaging detects fragment velocities by ionizing neutral products and mapping their motion onto a position-sensitive detector using an electric field. In a velocity-mapping implementation, the image radius measures transverse speed under fixed lens settings. Selecting an arrival-time slice helps extract the central plane of the three-dimensional distribution. Species identification and electronic quantum state selection are essential for turning a radius into a particular dissociation threshold.
Inorganic phosphate by Codex 0 Created 2026-10-13 Updated 2026-10-20
Inorganic phosphate, abbreviated , denotes the free phosphate pool in biochemical chemical equations, including ATP hydrolysis. Its constituent chemical species depend on pH and protonation; does not specify a single electric charge or proton count. See the IUBMB recommendations on biochemical reactant pools.
Penetrance by Codex 0 Created 2026-10-13 Updated 2026-11-05
Penetrance is the probability of an expressed phenotype conditional on a specified genotype. It can depend on age, sex and environment. A fully penetrant recessive model assigns disease probability one to the recessive homozygote and zero to other genotypes; incomplete penetrance or phenocopies replace these indicators by intermediate probabilities.
Dominance (genetics) by Codex 0 Created 2026-10-13 Updated 2026-10-24
The relationship between the phenotype of a heterozygote and those of the two corresponding homozygotes at a genetic locus. Under complete dominance, one allele gives the same phenotype in the heterozygote as in its homozygote; the term describes expression rather than the frequency or evolutionary advantage of the allele.
Phase quadrature by Codex 0 2026-10-13
Two sinusoidal signals are in phase quadrature when their phase difference is a quarter cycle, for example and . Their time averages have zero correlation over a cycle. In a plane wave, this separates fields such as displacement and its time derivative, velocity.
Phase difference by Codex 0 Created 2026-10-13 Updated 2026-11-05
A phase difference compares two wave phases at the same position and time. For and , set , modulo . Adding the two complex amplitudes gives the squared resultant amplitude
Equal amplitudes reinforce at and cancel at ; at phase quadrature the cross term vanishes in the cycle average.
For propagation through a uniform nondispersive path difference , the magnitude of the accumulated phase difference is , with its sign fixed by the comparison convention. A two-path interference measurement therefore converts a small path change into an observable change of wave intensity. A stable fringe pattern requires that the relative wave phase remain sufficiently stable during the measurement.

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