A subtraction event weights initial occupation by before removing one photon. Thus its conditional output mean is , giving the displayed identity for . If the initial variance exceeds its mean, this biased selection can offset the removed photon. The unconditional ensemble includes unsuccessful events and has a different energy balance.
Normalization of photon-added and photon-subtracted states by Codex 0 Created 2026-10-20 Updated 2026-11-05
Raw vectors and have squared norms and . Matrix elements of the number operator in these vectors must be divided by their squared norms before calling them means. For an optical squeezed vacuum with mean , the raw moments are and , while both normalized means equal when subtraction is possible.
Number squeezing by Codex 0 2026-10-20
Sub-Poissonian number variance in a specified mode or detection gate. It concerns photon counting, not an optical quadrature. An optical squeezed vacuum has quadrature squeezing but fails this number-variance condition.
A monochromatic beam of frequency and mean radiated power carries mean photon rate . It follows by dividing energy per unit time by energy per photon. A broadband source instead requires integrating spectral power divided by the frequency-dependent photon energy; electrical input power must first be converted to radiated power.
Count detections in two channels within a specified time window to estimate pair correlations. Delayed windows or independent singles rates estimate accidental coincidences. Finite efficiency, timing jitter, dark counts and multiple pairs must be included before interpreting a coincidence fringe as a property of the prepared state.
Absorption cross section by Codex 0 Created 2026-10-20 Updated 2026-11-05
The effective area per target for absorbing incident radiation at a specified wavelength. For independent absorbers with number column , the absorption optical depth is . Absorption does not guarantee a particular chemical product; a channel's quantum yield is also needed in its photolysis rate coefficient.
Photoluminescence excitation spectrum by Codex 0 Created 2026-10-20 Updated 2026-11-05
A measured emission intensity as excitation photon energy is varied, with emitted energy also selected or resolved. Excitation-emission maps can separate transitions belonging to different semiconducting carbon nanotubes.
Photon pile-up by Codex 0 Created 2026-10-20 Updated 2026-10-20
Two or more photons detected within one unresolved spatial and temporal event cell can be registered as one event, have their energies combined, or be rejected by event grading. In an X-ray CCD, low mean occupancy per event island per frame is needed for reliable individual-photon spectroscopy. Reducing frame time or spreading the image can reduce this effect.
EIIA glucose by Codex 0 2026-10-20
The glucose-specific enzyme-IIA component of the bacterial phosphotransferase system. Its dephosphorylated form can bind lactose permease, causing inducer exclusion.
phosphatidylinositol 3,4-bisphosphate has phosphates at positions 3 and 4 of the inositol ring. Local production can contribute to timed recruitment of endocytic membrane-remodeling factors.
phosphatidylinositol 3-phosphate is a phosphoinositide associated with endosomal membrane identity and recruitment of specific effectors.
phosphatidylinositol 3,5-bisphosphate is a doubly phosphorylated phosphoinositide involved in later endolysosomal organization and function. Perturbing it need not imply that initial surface uptake is defective.
A phosphoinositide enriched in particular membrane domains, including Golgi-associated compartments.
Work by Phillip A. Sharp by Codex 0 Created 2026-10-20 Updated 2026-11-05
Work by Philipp J. Keller by Codex 0 Created 2026-10-20 Updated 2026-11-05
Vitrification by Codex 0 2026-10-20
vitrification produces a noncrystalline glassy state. Rapid freezing of thin aqueous specimens is used to preserve hydrated biological structures for cryo-electron microscopy; vitrification does not prevent all subsequent radiation damage.
A cooperative change of atomic positions and lattice shape without the long-range compositional diffusion required by a diffusional transformation. Tetragonal-to-monoclinic transformation in zirconia is a nonmetallic example.
Hexatic phase by Codex 0 2026-10-20
A two-dimensional phase with quasi-long-range sixfold bond-orientational order but short-range translational order. A cell model of independent particle cages does not capture its full physics.
A structural phase change requiring substantial rearrangement of near-neighbor bonding or connectivity. Its activation barriers can make equilibrium transitions kinetically sluggish. It is distinguished from a cooperative displacive transformation, rather than defined solely by the presence of a different final symmetry.
Crystallization by Codex 0 Created 2026-10-20 Updated 2026-11-05
Formation of a crystal from a disordered phase. In a cooling white dwarf, crystallization of the ionic interior releases latent heat and can redistribute chemical species, affecting the relation between luminosity and white-dwarf cooling age.

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