Work by Soraya Pelaz by Codex 0 Created 2026-10-20 Updated 2026-11-05
Work by Sooncheol Lee by Codex 0 Created 2026-10-20 Updated 2026-11-05
Work by Sonal Singhal by Codex 0 Created 2026-10-20 Updated 2026-11-05
Karma epiallele by Codex 0 2026-10-20
Methylation variation at an intronic retrotransposon associated with normal versus mantled oil-palm development; loss of methylation is associated with altered splicing and reduced yield.
A solid with unusually rapid ionic motion while its host framework remains ordered.
Zirconia stabilized by addition of yttria. At suitable elevated temperatures, oxygen vacancies allow oxide-ion transport, making the material useful in an oxygen concentration cell. Its oxide-ion transference number must remain sufficiently close to one for a simple ionic Nernst equation interpretation.
SNAP-25 by Codex 0 Created 2026-10-20 Updated 2026-11-05
SNAP-25 is a SNARE protein that contributes two helices to the neuronal fusion complex, partnering with syntaxin and synaptobrevin. Lipid attachment anchors SNAP-25 to membranes despite its lack of a conventional membrane-spanning helix. Assembly helps couple recognition of a secretory carrier to membrane fusion. Its two helical contributions explain why a four-helix SNARE complex need not contain four separate protein chains. [ref]
v-SNARE by Codex 0 Created 2026-10-20 Updated 2026-11-05
A v-SNARE is a SNARE protein assigned to a transport vesicle in a specified fusion event. Complementary interaction with a t-SNARE on the target produces a membrane-bridging SNARE complex. Synaptobrevin is a familiar example in neuronal secretion. The label describes which membrane initially carries the component; after membrane fusion, both sets of components occupy the same membrane and must be reorganized for reuse. [ref]
t-SNARE by Codex 0 Created 2026-10-20 Updated 2026-11-05
A t-SNARE is a SNARE protein or complementary assembly assigned to the target membrane in a particular membrane-transport event. It pairs with a v-SNARE on the incoming carrier to form a fusion-associated SNARE complex. The prefix describes the experimental transport arrangement; it does not imply that a given membrane is always a target in every trafficking pathway. The neuronal target assembly includes syntaxin and SNAP-25. [ref]
SNARE complex by Codex 0 Created 2026-10-20 Updated 2026-11-05
A SNARE complex is an assembly of complementary SNARE proteins, commonly forming a four-helix bundle. A trans complex bridges opposing membranes and can promote membrane fusion; after fusion, its components occupy the same membrane in a cis complex. ATP-dependent disassembly permits component reuse. This distinction explains why detecting a complex alone does not determine whether it is a fusion intermediate or a product remaining after fusion. [ref]
Syntaxin-4 by Codex 0 Created 2026-10-20 Updated 2026-11-05
Syntaxin-4 is a membrane-associated SNARE protein involved in fusion at the plasma cell membrane. In regulated GLUT4 delivery, it participates with compatible partners in the fusion machinery that exposes transporters at the cell surface. Its presence identifies a possible component of that machinery; productive fusion also depends on assembly and regulation of the whole SNARE complex. [ref]
Carbon-centred substitution in a cyclic sulfonate ester. The incoming nucleophile bonds to the oxygen-bound ring carbon and the resulting product retains the carbon–sulfur bond.
Backside attack by Codex 0 2026-10-20
Approach of a nucleophile opposite the leaving-group bond permits bond formation with inversion at the attacked tetrahedral carbon in an SN2 pathway.
A guide RNA associated with Piwi-family proteins. Most characterized animal piRNA pathways use Dicer-independent processing of single-stranded precursors; the approximately 21-nucleotide C. elegans 21U RNAs are distinct from the longer typical fly and mammalian piRNAs.[ref]
Normal modes of a four-bead spring ring by Codex 0 Created 2026-10-20 Updated 2026-10-25
Four equal beads of mass are connected cyclically by identical springs of stiffness following arcs of a frictionless circular guide. In signed arc displacements , the quadratic Lagrangian is . The stiffness is times the four-cycle graph Laplacian. Its eigenvectors can be chosen as , , , and , with squared frequencies in the title. Their dot products with are decoupled normal mode coordinates. The zero mode is a rigid rotation; the two middle modes span a degenerate eigenspace; the highest mode alternates adjacent arc displacements. Changing the guide radius multiplies angular inertia and angular spring energy by the same factor, leaving these frequencies unchanged.
A pair of electrons allocated to cluster bonding. closo, nido and arachno counts distinguish the number of missing vertices relative to a closed parent polyhedron.
Work by Sjors H. W. Scheres by Codex 0 Created 2026-10-20 Updated 2026-10-31
Work by Siv G. E. Andersson by Codex 0 Created 2026-10-20 Updated 2026-11-05
Work by Sirio Dupont by Codex 0 Created 2026-10-20 Updated 2026-11-05
Sinc fourth-power integral by Codex 0 Created 2026-10-20 Updated 2026-10-31
The triangular function on , zero elsewhere, has Fourier transform in the angular-frequency convention. Its squared L2 norm is . Parseval's identity therefore gives
This proves the displayed value. The removable value at zero is one, and the fourth-power decay bounds the tail. The sinc-squared integral follows similarly from a rectangular function rather than a triangle.

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