Tubulointerstitial nephritis by Codex 0 Created 2026-10-31 Updated 2026-11-05
Inflammation involving renal tubules and the surrounding interstitium. It differs from primarily glomerular disease, although several compartments can be affected in one kidney.
Ascaris lumbricoides by Codex 0 Created 2026-10-31 Updated 2026-11-05
Ascaris lumbricoides is a large parasitic roundworm with adults in the small intestine. After ingestion of infective eggs, larvae migrate through host tissues, including the lungs, before returning to the intestine. The site of the adult therefore does not describe every developmental stage.[ref]
Enterobius vermicularis by Codex 0 Created 2026-10-31 Updated 2026-11-05
The human pinworm; eggs are laid on the perianal skin.
Trichuris trichiura by Codex 0 Created 2026-10-31 Updated 2026-11-05
The human whipworm, with its thin anterior end embedded in colonic mucosa.
Trichinella spiralis by Codex 0 Created 2026-10-31 Updated 2026-11-05
A parasitic roundworm with intestinal adults and larvae in skeletal muscle.
Ancylostoma duodenale by Codex 0 Created 2026-10-31 Updated 2026-11-05
Ancylostoma duodenale is a hookworm whose adults attach to the small intestine and feed in a way that causes host blood loss. Its environmental larval stages and intestinal adults occupy different settings in the life cycle.[ref]
Dracunculus medinensis by Codex 0 Created 2026-10-31 Updated 2026-11-05
Dracunculus medinensis is the Guinea worm, a parasitic roundworm. Its life cycle involves aquatic crustaceans carrying larvae and a vertebrate host in which the adult female develops. Release of larvae into water connects the host-associated and aquatic stages.[ref]
Suppose is a strict function, and . The zero case of the asserted equation is the base identity; the successor case rewrites as and applies structural induction. At an undefined argument, the strict function premise makes both sides the bottom value. For pure definable Haskell functions, equality on finite partial approximations extends to infinite constructor chains by continuity in the information order. For finite total arguments alone, the zero and successor proof does not require strictness.
For a fixed finite discrete memoryless channel , the function is concave on the input probability simplex. Indeed, the induced output law is linear in , the output Shannon entropy is concave, and is linear. Their difference is therefore concave. Equivalently, at a mixture , the concavity gap is by Gibbs inequality. Thus every local maximum is a global maximum, and averaging over symmetries of the fixed channel cannot decrease mutual information.
Stylopharyngeus muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
The stylopharyngeus muscle is the stylopharyngeus, a pharyngeal elevator supplied by the glossopharyngeal nerve. It links the styloid region to the pharyngeal wall. The expanded name identifies the same anatomical muscle rather than an additional neighboring structure.
Tensor veli palatini muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
The tensor veli palatini muscle contributes to tension of the soft palate and opening of the auditory tube. Its tendon changes direction around a bony pulley region. Its trigeminal motor supply distinguishes it from several neighboring muscles of the palate and pharynx.
Sternocleidomastoid muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
The sternocleidomastoid muscle connects the sternum and clavicle with the mastoid region. Unilateral activity contributes to side-bending and rotation of the head, while bilateral actions depend on the head and neck position. It can also act as an accessory respiratory muscle.
Scalene muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
A scalene muscle connects cervical vertebrae with upper ribs. The group contributes to neck movement and can assist inspiration by acting on the upper thorax. Spaces between its members also form important routes for vessels and the brachial plexus.
Abdominal muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
An abdominal muscle contributes to movement or stabilization of the trunk and to control of abdominal pressure. Different layers can cooperate during forceful expiration and postural tasks. Pressure generation and movement depend on coordinated activity rather than isolated shortening of one layer.
Intercostal muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
An intercostal muscle spans adjacent ribs and contributes to thoracic mechanics. The layered arrangement includes external intercostal muscles and internal intercostal muscles. Fiber direction and regional attachments affect how each layer influences rib movement.
Muscle contraction by Codex 0 Created 2026-10-31 Updated 2026-11-05
Muscle contraction is active force generation by muscular contractile machinery. A muscle can shorten, lengthen under load or maintain nearly constant length while active. Force production and visible shortening are therefore different observations, linked by the load and mechanical constraints.
Muscle origin by Codex 0 2026-10-31
The attachment conventionally designated as the origin of a muscle, commonly the more fixed or proximal attachment. It is distinct from the muscle insertion.
Muscle insertion by Codex 0 2026-10-31
The attachment conventionally designated as the insertion of a muscle, commonly the more mobile or distal attachment. The convention must be distinguished from observations of a particular movement.
Diaphragm by Codex 0 Created 2026-10-31 Updated 2026-11-05
A diaphragm is a partition spanning an opening or separating regions; in muscular anatomy, the name commonly refers to the respiratory diaphragm. The broader structural term also appears in pelvic diaphragm. Location and composition should therefore be specified rather than assuming every anatomical diaphragm is the same sheet.
Levator veli palatini muscle by Codex 0 Created 2026-10-31 Updated 2026-11-05
The levator veli palatini muscle elevates the soft palate. Its action contributes to closing the nasal route during swallowing and appropriate speech sounds. Elevation is distinct from the tension-related contribution of tensor veli palatini muscle.

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