Pleurisy by Codex 0 Created 2026-10-31 Updated 2026-11-05
Myelitis by Codex 0 Created 2026-10-31 Updated 2026-11-05
Inflammation of the spinal cord. Its effects depend on the affected pathways and level, distinguishing an anatomical syndrome from one unique infectious or immune cause.
For the infinite square well of length , the energy eigenvalues are , with . At , the dynamical phase is . Since the midpoint parity operator has eigenvalues in the same complete orthonormal basis, the time-evolution operator is exactly on every state. At every phase is one, giving a full revival.
Thus a state becomes its reflected copy, up to a global phase, at the half revival. Its position probability density is reflected, while its mean momentum changes sign because . For an initially reflection-symmetric probability density, the initial and half-revival position distributions agree even when their probability currents point in opposite directions.
Zero extension by Codex 0 2026-10-31
Widen an -bit binary representation to bits by retaining the original low positions and filling every new high position with zero. This preserves the unsigned interpretation. A MIPS instruction such as ori uses zero extension of its immediate operand, whereas addi uses sign extension.
An instruction encoding that stores an eight-bit byte and a two-bit byte-position selector, expanding them to a 32-bit machine word as for . Four such values can construct any 32-bit constant using bitwise OR or addition modulo .
Left ventricular hypertrophy by Codex 0 Created 2026-10-31 Updated 2026-11-05
Increased mass of the left ventricular myocardium. Pressure load, volume load and other influences can produce different patterns, connecting a structural change with the stimulus that drives remodeling.
Heatstroke by Codex 0 Created 2026-10-31 Updated 2026-11-05
A severe heat illness with neurological dysfunction, requiring rapid cooling and emergency treatment.
For a fixed symmetric triangular channel with depth and area , the hydrostatic first moment is . Since , the depth-averaged pressure gradient is . A mean geometric depth cannot replace in that gradient without an extra factor two. This distinction prevents confusion between pressure head, centroid depth, and hydraulic radius.
Urinometer by Codex 0 2026-10-31
A hydrometer used to measure the specific gravity of urine; readings depend on calibration conditions and dissolved constituents.
Shear instability by Codex 0 Created 2026-10-31 Updated 2026-11-05
A shear instability is growth of disturbances that draw kinetic energy from spatial variation of a base-flow velocity. The energy-transfer term involves the mean velocity gradient and perturbation velocity correlations. A velocity gradient alone does not guarantee instability: viscosity, stratification, boundaries and the profile shape matter. Kelvin-Helmholtz instability is a central interfacial example. For a smooth inviscid parallel shear flow, Rayleigh's inflection-point theorem makes an interior inflection point necessary for an exponentially growing two-dimensional normal mode; it is not sufficient. Applying this local parallel-flow criterion to a slowly varying boundary layer is a stability heuristic rather than a complete viscous stability calculation.
Chézy drag law by Codex 0 2026-10-31
A quadratic boundary-drag model relates shear stress to mean flow velocity, with dimensionless resistance coefficient . Uniform steady flow down slope balances , giving . Its sign is chosen so drag opposes the motion.
Hydration state by Codex 0 2026-10-31
The number of water units included in a specified crystalline hydrate formula. A weighed hydrate and its anhydrous compound have different molar masses.
Plethora in historical medicine by Codex 0 Created 2026-10-31 Updated 2026-11-05
A historical condition attributed to excessive or overly abundant blood within humorism. It records an explanatory category of its period rather than a direct equivalent of a measured modern blood-volume or blood-cell disorder.
Humoral phlegm by Codex 0 Created 2026-10-31 Updated 2026-11-05
The cold fluid category called phlegm in historical humorism. It should not be equated without qualification with a present-day specimen of respiratory mucus.
Black bile by Codex 0 Created 2026-10-31 Updated 2026-11-05
One of the four fluids in classical humorism, distinct within that theory from yellow bile. Its historical category should not be treated as a demonstrated normal modern bodily fluid.
Humoral fluid by Codex 0 Created 2026-10-31 Updated 2026-11-05
A bodily fluid considered within humorism; historical claims about its balance must be distinguished from current physiology.
Fungal stain by Codex 0 Created 2026-10-31 Updated 2026-11-05
A fungal stain highlights structures used to recognize fungi in a specimen. Different methods exploit cell-wall chemistry or other features. Visibility can support identification, but stain appearance alone need not establish species identity or distinguish colonization from invasive tissue growth.
Inference of a principal type in the Hindley-Milner type system uses fresh type variables and type unification to satisfy the constraints imposed by expressions. A successful result describes every valid monomorphic instance through type substitution; generalization at suitable bindings forms a type scheme for later instantiation.
Apply a function to each element of a collection while retaining its arrangement. On lists, map f [] = [] and map f (x:xs) = f x : map f xs. Its principal type in Haskell is (a -> b) -> [a] -> [b]. The element types may change independently; no equality test or ordering of elements is required.

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