By default, we will use the time negative representation unless stated otherwise:but another equivalent one is to use a time positive representation:The matrix is typically denoted by the Greek letter eta.
Mordell's theorem guarantees that the rank (number of elements in the generating set of the group) is always well defined for an elliptic curve over the rational numbers. But as of 2023 there is no known algorithm which calculates the rank of any curve!
It is not even known if there are elliptic curves of every rank or not: Largest known ranks of an elliptic curve over the rational numbers, and it has proven extremely hard to find new ones over time.
TODO list of known values and algorithms? The Birch and Swinnerton-Dyer conjecture would immediately provide a stupid algorithm for it.
Source code: github.com/neuronsimulator/nrn
www.frontiersin.org/articles/10.3389/fninf.2019.00063/fullCoreNEURON: An Optimized Compute Engine for the NEURON Simulator (2019) Merged back into mainstream: github.com/BlueBrain/CoreNeuron
To get an intuition for it, see the sample computation at: en.wikipedia.org/w/index.php?title=Ackermann_function&oldid=1170238965#TRS,_based_on_2-ary_function where in this context. From this, we immediately get the intuition that these functions are recursive somehow.
Consider the E. Coli K-12 MG1655 operon thrLABC.
That single operon can produce two different mRNA transcription units:
- thrL only, the transcription unit is also called thrL: biocyc.org/ECOLI/NEW-IMAGE?object=TU0-42486
- thrL + thrA + thrB + thrC all together, the transcription unit is called thrLABC: biocyc.org/ECOLI/NEW-IMAGE?type=OPERON&object=TU00178
The reason for this appears to be that there is a rho-independent termination region after thrL. But then under certain conditions, that must get innactivated, and then the thrLABC is produced instead.
stackoverflow.com/questions/5617314/perl-regex-print-the-matched-value/5617355#5617355
perl -lne 'print for /mykey=(\d+)/'Lists:
- www.bibsonomy.org/user/bshanks/education fantastic list, presumably by this guy:
- www.reddit.com/r/Zettelkasten/comments/168cmca/which_note_taking_app_for_a_luhmann_zettlekasten/
- www.reddit.com/r/productivity/comments/18vvavl/best_free_notetaking_app_switching_from_evernote/
- github.com/topics/note-taking has a billion projects. Oops.
- www.noteapps.ca/
Personal knowledge base recommendation threads:
TODO look into those more:
- roamresearch.com/ no public graphs
- nesslabs.com/roam-research-alternatives a bunch of open source alternatives to it
- Trillium Notes. Notable project! Pun unintended!
- Stroll giffmex.org/stroll/stroll.html. How to publish? How to see tree?
- tiddlyroam joekroese.github.io/tiddlyroam/ graph rather than text searchable ToC. Public instance? Multiuser?
- Athens github.com/athensresearch/athens rudimentary WYSIWYG
- Logseq github.com/logseq/logseq no web interface/centralized server?
- itsfoss.com/obsidian-markdown-editor. Closed source. They have an OK static website publication mechanism: publish.obsidian.md/ram-rachum-research/Public/Agents+aren't+objective+entities%2C+they're+a+model but leaf node view only for now, no cross source page render. They are committed to having plaintext source which is cool: twitter.com/kepano/status/1675626836821409792
- But no upvotes/topics. Favorites could be used as upvotes, but it does not seem like you can favorite other people's work. It's just not their focus, will never be.They have an education push: www.notion.so/product/notion-for-education but it's likely hopeless.
- CherryTree github.com/giuspen/cherrytree written in C++, GTK, WYSIWYG
- github.com/dullage/flatnotes: Python
- github.com/usememos/memos: Go
- github.com/siyuan-note/siyuan: Go
- github.com/vnotex/vnote: C++
- github.com/Laverna/laverna: JavaScript
- github.com/taniarascia/takenote
- github.com/silverbulletmd/silverbullet: TypeScript, Markdown, web-based WYSIWYG, focus on querying
Major downsides that most of those personal knowledge databases have:
- very little/no focus on public publishing, which is the primary focus of OurBigBook.com
- either limited or no multiuser features, e.g. edit protection and cross user topics
- graph based instead of tree based. For books we need a single clear ordering of a tree. Graph should come as a secondary thing through tags.
Closed source dump:
- www.toodledo.com
- Simplenote: en.wikipedia.org/wiki/Simplenote, by WordPress.com operator company Automattic
Opposed to the hydrogen hypothesis, in which both cells cooperated from the start.
Tested as of Ubuntu 20.04, there is no Mongo package available by default due to their change to Server Side Public License, which Debian opposed. Therefore, you have to add their custom PPA as mentioned at: docs.mongodb.com/manual/tutorial/install-mongodb-on-ubuntu/
There are unlisted articles, also show them or only show them.