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Dependence of subsequent contest behaviour or outcomes on previous wins or losses. Repeated outcomes require controls for pre-existing ability and opponent differences.
CDQ divide and conquer is an offline divide-and-conquer pattern that partitions items in one ordered dimension, solves each half recursively and counts or applies contributions from the left half to the right during a merge. For three-dimensional dominance counting, first order by one coordinate, then merge by a second while a Fenwick tree aggregates the third. The cross-half pass accounts for interactions not handled inside either recursive call. Tie conventions must match strict or non-strict comparisons, and temporary updates must be removed or isolated before unrelated subproblems. A common implementation takes time after coordinate compression.
The carbonyl cis effect is preferential labilization of a ligand cis to another ligand in many six-coordinate metal carbonyls. Site preference in five-coordinate intermediates and transition states matters. Isotopic exchange can distinguish departure sites more directly than substitution-product geometry alone.
Movement between the natal site and the site of reproduction.
When merging two components in a disjoint-set data structure, attach the representative of the smaller component to that of the larger one. Each time an element's depth increases its component size at least doubles, so its depth is logarithmically bounded even before path compression is applied.
If mass m, confinement radius R and Planck constant h are the only dimensional inputs to a nonrelativistic kinetic energy, matching mass, length and time dimensions gives . The dimensionless coefficient C depends on the boundary condition and state. Ratios of energies therefore scale as inverse mass and inverse radius squared only when that dimensionless physics is unchanged. This separates a robust scaling law from a claim about an unspecified confinement spectrum.
A geometrically similar taut membrane of radius , uniform isotropic tension per unit length and areal mass density has normal mode frequencies . Matching mass, length and time dimensions fixes these exponents; the dimensionless constant depends on the normal mode and boundary shape. The result does not apply unchanged when bending stiffness adds an independent material parameter.
The digestive-tract region containing specialized absorptive and secretory epithelium. Architecture differs between intestinal regions and species.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - Infinitely deep tables of contents:
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





