Ciliary zonule by Codex 0 Created 2026-10-31 Updated 2026-11-05
The suspensory fibre apparatus transmitting forces between the ciliary body and the capsule of the crystalline lens. Individual zonular fibres are its components.
Chorionic cavity by Codex 0 2026-10-31
The extraembryonic coelomic space surrounding the early amniotic and yolk-sac structures except where the connecting stalk provides attachment.
Sydenham's chorea by Codex 0 Created 2026-10-31 Updated 2026-11-05
An immune-mediated childhood syndrome associated with acute rheumatic fever. The name commemorates Thomas Sydenham. The neurological syndrome can emerge after the preceding infection is no longer demonstrable.
Chemotactic pattern-instability criterion by Codex 0 Created 2026-10-31 Updated 2026-11-05
For , , the equilibrium is stable without transport. A spatial mode of wavenumber has negative trace and determinant . A continuous unstable band exists exactly under the displayed inequality. On a finite interval with Neumann boundary conditions, an allowed discrete wavenumber must additionally fall in that band. The high-wavenumber positive term is diffusive smoothing; the negative chemotactic term drives aggregation.
Chemotactic flux by Codex 0 Created 2026-10-31 Updated 2026-11-05
A chemotactic flux is the transport flux caused by directed cell movement in response to a chemical gradient. For a cell density and attractant concentration , a common flux is with .
Chemotactic drift by Codex 0 Created 2026-10-31 Updated 2026-11-05
Chemotactic drift is the directed velocity associated with sensing a chemical gradient. In a simple continuum model the drift is ; multiplying by cell density gives the chemotactic flux.
Cervical ectropion by Codex 0 Created 2026-10-31 Updated 2026-11-05
Cervical ectropion is presence of glandular epithelium from the cervical canal on the outward-facing cervical surface. Its red appearance reflects epithelial and vascular differences, rather than necessarily an ulcer. The anatomical description alone does not imply cancer or identify every cause of bleeding.
Cervical polyp by Codex 0 Created 2026-10-31 Updated 2026-11-05
A cervical polyp is a localized projection of tissue arising from the cervix, often from its canal. It names a structural lesion rather than establishing its cause from appearance alone. It should be distinguished from an endometrial polyp, whose origin is in the uterine lining.
Cerebellar peduncle by Codex 0 Created 2026-10-31 Updated 2026-11-05
A cerebellar peduncle is a major fiber bundle connecting the cerebellum with the brainstem. The superior, middle and inferior bundles carry different combinations of input and output. Bundle location and signaling direction are therefore separate descriptions.
Flocculus by Codex 0 Created 2026-10-31 Updated 2026-11-05
The flocculus is a small lateral cerebellar lobule with prominent vestibular and eye-movement connections. Its circuits help adapt the relation between sensed head motion and compensatory eye movements. Anatomical membership in the cerebellum does not imply identical roles for every lobule.
Lingula of the cerebellum by Codex 0 Created 2026-10-31 Updated 2026-11-05
The lingula of the cerebellum is a small anterior midline cerebellar lobule associated with the superior medullary velum. Its position supplies an orienting landmark near the upper roof of the fourth ventricle.
Nodule of the cerebellum by Codex 0 Created 2026-10-31 Updated 2026-11-05
The nodule of the cerebellum is a midline cerebellar lobule associated with the flocculus in the flocculonodular organization. Its vestibular connections contribute to regulation of balance and eye movements. A lobule is an anatomical subdivision rather than a single uniform computation.
Centre of gravity by Codex 0 2026-10-31
The point through which the resultant gravitational force acts when that force has a single point of application. In a uniform gravitational field, it coincides with the center of mass; a nonuniform field need not give the same point.
For a closed system with fixed total mass, summing the constituent Newton's second law equations makes pairwise internal forces cancel when Newton's third law applies. The remaining resultant external force is the derivative of total momentum, equal to . This governs translation of the center of mass; external torque additionally governs changes of angular momentum.
Blister steel by Codex 0 2026-10-31
The carburized bar product of the cementation process, historically showing surface blisters and an uneven carbon distribution.
For an orthogonal projection onto in an inner product space, apply the Cauchy-Schwarz inequality to and then use , . If either original vector is zero, equality holds. Otherwise equality holds exactly when both vectors belong to and are linearly dependent. Necessity follows because equality in the product of the two norm bounds forces equality in each, while equality in Cauchy-Schwarz inequality forces dependence. This retains the zero cases that a division by the original norms would lose.
If is holomorphic on a neighborhood of the closed unit disc and , this boundary integral is independent of . Parametrizing the unit circle by and taking a complex conjugate gives
where the last equality is the Cauchy integral formula applied to the holomorphic function at zero. The conjugation of the whole integral includes the factor and the differential; parametrization keeps their signs consistent. Equivalently, the conjugated boundary values have only nonpositive Fourier frequencies, so the Cauchy kernel detects their constant coefficient.
Saphena varix by Codex 0 Created 2026-10-31 Updated 2026-11-05
A venous swelling near the termination of the great saphenous vein that can resemble a groin hernia.
Stroke volume by Codex 0 Created 2026-10-31 Updated 2026-11-05
Stroke volume is the volume expelled by a ventricle in one contraction. In a time-dependent ventricular elastance model, if end-ejection pressure is and systolic compliance is , the remaining ventricular volume is . Subtracting that from the end-filling volume gives the ejected volume.

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