Matrix representation of a symmetric bilinear form by Ciro Santilli 35 Updated +Created
Like the matrix representation of a bilinear form, it is a matrix, but now the matrix has to be a symmetric matrix.
We can then immediately see that the matrix is symmetric, then so is the form. We have:
But because is a scalar, we have:
and:
Matrix similarity by Ciro Santilli 35 Updated +Created
Super Mario game by Ciro Santilli 35 Updated +Created
Steve Wozniak by Ciro Santilli 35 Updated +Created
Star Trek: The Next Generation by Ciro Santilli 35 Updated +Created
Ciro Santilli likes this.
He doesn't have the patience to actually watch full episodes with rare exceptions, rather just watching selected scenes from: www.youtube.com/channel/UCdeIGY2DIjpGf0A2m9GSE3g, but still, it is interesting.
What appeals to Ciro in this series is how almost nothing is solved by violence, almost everything is decided in the bridge, at the "cerebral" level of the command structure. This reminds Ciro of a courtroom of law sometimes.
Maybe there's also a bit of 90's nostalgia involved too though, as this is something that would show on some random cable channels a bored young Ciro would have browsed during weekends, never really watching full episodes.
One crime of many episodes is being completely based on some stupid new scientific concept, which any character to back it up.
Another thing that hurt is that due to their obsession with the senior members of the crew, sometimes those senior members are sent in ridiculously risky operations, which is very unrealistic.
Episodes that Ciro watched fully and didn't regret:
Semi worth it:
Not worth it:
  • Cause and effect
TODO
  • s06e11 Chain of command
Monster group by Ciro Santilli 35 Updated +Created
Video 1.
Group theory, abstraction, and the 196,883-dimensional monster by 3Blue1Brown (2020)
Source. Too basic, starts motivating groups themselves, therefore does not give anything new or rare.
Aberration (astronomy) by Ciro Santilli 35 Updated +Created
Lie algebra of by Ciro Santilli 35 Updated +Created
We can reach it by taking the rotations in three directions, e.g. a rotation around the z axis:
then we derive and evaluate at 0:
therefore represents the infinitesimal rotation.
Note that the exponential map reverses this and gives a finite rotation around the Z axis back from the infinitesimal generator :
Repeating the same process for the other directions gives:
We have now found 3 linearly independent elements of the Lie algebra, and since has dimension 3, we are done.
Spacetime diagram by Ciro Santilli 35 Updated +Created
Why should I care when I can calculate new x and new time with Lorentz transformation?
Answer: it can give some qualitative intuition on what is larger/smaller happens before/after based only on arguably more intuitive geometric considerations, without requiring you to do any calculations, see e.g. Figure "Spacetime diagram illustrating how faster-than-light travel implies time travel".
Continuous integration by Ciro Santilli 35 Updated +Created
Software engineer stereotype by Ciro Santilli 35 Updated +Created
Software development principle by Ciro Santilli 35 Updated +Created
Blade server by Ciro Santilli 35 Updated +Created
Figure 1. Source. Good image from Wikimedia Commons. In this one we can see how the blades are put vertically, and you get several of them per horizontal rack space, instead of a tipical single rack server going all the way horizontally.
Video 1.
HP Blade Server by Brian Kirsch (2013)
Source.
In the video we can see that it contains RAM, disk storage, we are told about two CPUs, and networking interfaces, so it is a complete computer on its own. He also explains that unlike typical rack servers, each blade unit does not have its own coolers and power supply related hardware, which goes instead on the chassis.
IMEC by Ciro Santilli 35 Updated +Created
Video 1.
imec: The Semiconductor Watering Hole by Asianometry (2022)
Source. A key thing they do is have a small prototype fab that brings in-development equipment from different vendors together to make sure the are working well together. Cool.
ASML Holding by Ciro Santilli 35 Updated +Created
As of 2020 leading makers of the most important fab photolithography equipment.
Video 1.
ASML: TSMC's Critical Supplier by Asianometry (2021)
Source.
Video 2.
How ASML Won Lithography by Asianometry (2021)
Source.
First there were dominant Elmer and Geophysics Corporation of America dominating the market.
Then a Japanese government project managed to make Nikon and Canon Inc. catch up, and in 1989, when Ciro Santilli was born, they had 70% of the market.
youtu.be/SB8qIO6Ti_M?t=240 In 1995, ASML had reached 25% market share. Then it managed the folloging faster than the others:
Arm (company) by Ciro Santilli 35 Updated +Created
Video 1.
Arm 30 Years On: Episode One by Arm Ltd. (2022)
Source.
Video 2.
Arm 30 Years On: Episode Two by Arm Ltd. (2022)
Source.
Video 3.
Arm 30 Years On: Episode Three by Arm Ltd. (2022)
Source. This one is boring US expansion. Other two are worth it.
Qualcomm by Ciro Santilli 35 Updated +Created
Ciro Santilli has always had a good impression of these people.
SHA-1 by Ciro Santilli 35 Updated +Created
Plotting software by Ciro Santilli 35 Updated +Created

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