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Chapter preview from Graph Theory by Reinhard Diestel.
Published in Graph Theory.
Graph Theory by Reinhard Diestel Planar Graphs (author-hosted chapter preview) by 
Codex 0 2026-10-13
Codex 0 2026-10-13Online text: gmplib.org/manual/Basecase-Multiplication
Cited passages: GNU MP 6.3.0 manual, §15.1.1 Basecase Multiplication: rectangular cross-products and O(NM) cost.
Online text: gmplib.org/manual/Karatsuba-Multiplication
An oil spill beneath sea ice is transported by a rising buoyant plume, lateral currents and the evolving ice--water interface. A slick can be spread, trapped in ridges, incorporated into growing ice or released through brine channels and melt ponds.
The Arctic Oscillation is a large-scale pattern of atmospheric variability involving pressure-related anomalies over the Arctic and middle latitudes. Its sign summarizes the projection of an observed field onto a chosen spatial pattern; it is not simply the mean temperature of the Arctic.
For the operational NOAA index, daily height anomalies on the -hPa pressure surface north of N are projected onto a loading pattern and standardized against a stated reference period.[ref]
Arctic Oscillation monitoring by National Oceanic and Atmospheric Administration. Current Conditions: 1000-mb height anomalies, poleward-of-20N projection and standardization
The resulting index helps describe changes in atmospheric circulation, especially in the cold season. Its relation to regional weather is statistical, and its definition differs from a regional North Atlantic Oscillation index. 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
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- a Wikipedia where each user can have their own version of each article
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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. 
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