www.youtube.com/watch?v=tq7sb3toTww&list=PLxBAVPVHJPcrNrcEBKbqC_ykiVqfxZgNl&index=19 mentions that it is a bit like a dot product but for a tangent vector to a manifold: it measures how much that vector derives along a given direction.
Analogous to a linear form, a bilinear form is a Bilinear map where the image is the underlying field of the vector space, e.g. .
Some definitions require both of the input spaces to be the same, e.g. , but it doesn't make much different in general.
The most important example of a bilinear form is the dot product. It is only defined if both the input spaces are the same.
By writing in English you reach more people.
English is the de-facto Lingua Franca of the second half of the 20th Century, it is the new lingua franca, the new Latin, and there is no escaping it.
Students who don't know English will never do anything truly useful in science and technology. So it is pointless to teach them anything (besides English itself).
They are very well chosen for their high safety and level interest, so you can just go into them without putting much thought into it.
Sometimes they go a bit too much on the side of safety, making certain transitions annoying, but in general the selection is spot on.
The routes do sometimes go on a bit of gravel, so they are most adequate for hybrid bikes rather than road bikes, although road bikes would be able to to much of them. A more road-bike dedicated possibility is the The National Byway.
Note however that there are many many other local routes which are not in the network, but arguably equally, or more worthwhile.
Their diginal map distribution mechanisms are a bit shitty and sometimes asks you to pay for certain formats, which is hard to understand given that the maintainer of those maps, the Ordnance Survey appears to be public... github.com/cirosantilli/cirosantilli.github.io/issues/61 "How to see the Sustrans National Cycle Network on Google maps?"
Googling "National Cycle Netowrk KML" leads to: data-sustrans-uk.opendata.arcgis.com/ from which we can download the KML. gis.stackexchange.com/questions/216770/how-to-open-kml-file-in-google-maps-for-android then shows how to make that viewable on Google Maps by going through www.google.com/maps/d/u/0/?hl=en on the browser. TODO 2021-11:
GPSPrune 20.2-1 can open the KML however, so that file can't be entirely wrong.
"Ralph Hughes" www.linkedin.com/in/ralph-hughes-501474121 is listed as the creator/responsible of the exports, but can't find his email. Sent an email to gissupport@sustrans.org.uk and he did reply a few days later that they are aware of the issue, and are particularly trying to reach out to Google about it. Great news!
GPSPrune 20.2-1 can open the KML however, so that file can't be entirely wrong.
OpenStreetMaps has them on by default though if you just click "Cycle Map" layer. It is not as incredibly detailed as the Ordnance Survey one, e.g. does not show which side of the street to ride on, but still, is very good.
A lot of important development discussion happened in those channels: en.bitcoin.it/wiki/IRC_channels
At www.reddit.com/r/Bitcoin/comments/5pvp6m/is_there_a_log_for_the_bitcoin_irc_channel/ "Is there a log for the bitcoin IRC channel?" Luke Dashjr comments:User "midmagic" (TODO identify) then comments:
No, it is meant to be private without logging allowed.
Some IRC logs were dumped into the Bitcoin blockchain at: IRC log dumps where they cannot be deleted.
bitcoinstrings.com has all
strings -n20 strings, we can obtain the whole thing and clean it up a bit with:wget -O all.html https://bitcoinstrings.com/all
cp all.html all-recode.html
recode html..ascii all-recode.html
awk '!seen[$0]++' all-recode.html > all-uniq.htmlawk to skip the gazillion "mined by message" repeats.A lot of in that website stuff appears to be cut up at the 20 mark. As shown in Force of Will, this is possibly because they didn't use
-w in strings -n20, and the text after the newlines was less than 20 characters.That website can be replicated by downloading the Bitcoin blockchain locally, then:
cd .bitcoin/blocks
for f in blk*.dat; do strings -n20 -w $f | awk '!seen[$0]++' > ${f%.dat}.txt; done
tail +n1 *.txtRemove most of the binary crap:
head -n-1 *.txt | grep -e '[. ]' | grep -iv 'mined by' | less There are unlisted articles, also show them or only show them.