Maxwell's equations imply that the speed of light is the same for all inertial reference frames Updated 2025-05-23 +Created 1970-01-01
The derivative is the generator of the translation group Updated 2025-05-23 +Created 1970-01-01
The way to think about this is:
- the translation group operates on the argument of a function
- the generator is an operator that operates on itself
So let's take the exponential map:and we notice that this is exactly the Taylor series of around the identity element of the translation group, which is 0! Therefore, if behaves nicely enough, within some radius of convergence around the origin we have for finite :
This example shows clearly how the exponential map applied to a (differential) operator can generate finite (non-infinitesimal) Translation!
New developers won't want to learn your project, because they would rather shoot themselves.
Of course, at some point software gets large enough that things won't fit anymore in 5 seconds. But then you must have either some kind of build caching, or options to do partial builds/tests that will bring things down to that 5 second mark.
A slow build from scratch will mean that your continuous integration costs a lot, money that could be invested in a new developer!
One anecdote comes to mind. Ciro Santilli was trying to debug something, and more experience colleague came over.
To reproduce a problem, ciro was running one command, wait 5 seconds, run a second command, wait 5 seconds, run a third command:
cmd1
# wait 5 seconds
cmd2
# wait 5 seconds
cmd3
The first thing the colleague said: join those three commands into one:And so, Ciro was enlightened.
cmd1;cmd2;cmd3
A compiled executable under
/usr/bin/csvtool
, has an Ubuntu 23.04 package: manpages.ubuntu.com/manpages/lunar/en/man1/csvtool.1.htmlThere seems to be no sane filtering mechanism however: stackoverflow.com/questions/46540752/using-csvtool-call-to-filter-csv-in-bash
Incredible that there hasn't been a Nobel Prize for it as of 2022, e.g. as mentioned at: theconversation.com/no-nobel-but-epigenetics-finally-gets-the-recognition-it-deserves-18970
Some old dudes getting another prize in 2016: www.cuimc.columbia.edu/news/pioneers-epigenetics-awarded-horwitz-prize
The dot product is a positive definite matrix, and so we see that those will have an important link to familiar geometry.
In Ciro Santilli's view, the following three artists form a Holy Trinity of popular Brazilian music:
Elis Regina is not far though.
Ciro remembers quite clearly when he was riding the car with his parents when he pre teen, and he could not understand why they seemed so obsessed with The Trinity et al. Ciro in particular remembers listening to Video "Refazenda by Gilberto Gil (1975)". They had picked it up of course from the 70's and 80's when they were younger.
Young Ciro would also always confuse who was whom from the three of them.
Then Ciro got older, and he understood, they are mind blowing. You do have to look back in time a bit though, lots of lukewarm stuff on later periods. The military dictatorship in Brazil was good for music.
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