Main motivation: Lebesgue integral.
The Bright Side Of Mathematics 2019 playlist: www.youtube.com/watch?v=xZ69KEg7ccU&list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j
The key idea, is that we can't define a measure for the power set of R. Rather, we must select a large measurable subset, and the Borel sigma algebra is a good choice that matches intuitions.
Where derivation == "intuitive routes", since a "law of physics" cannot be derived, only observed right or wrong.
TODO also comment on why are complex numbers used in the Schrodinger equation?.
Some approaches:
- en.wikipedia.org/w/index.php?title=Schr%C3%B6dinger_equation&oldid=964460597#Derivation: holy crap, this just goes all in into a Lie group approach, nice
- Richard Feynman's derivation of the Schrodinger equation:
- physics.stackexchange.com/questions/263990/feynmans-derivation-of-the-schrödinger-equation
- www.youtube.com/watch?v=xQ1d0M19LsM "Class Y. Feynman's Derivation of the Schrödinger Equation" by doctorphys (2020)
- www.youtube.com/watch?v=zC_gYfAqjZY&list=PL54DF0652B30D99A4&index=53 "I5. Derivation of the Schrödinger Equation" by doctorphys
Running:gives:
hd hello_world.out00000000 7f 45 4c 46 02 01 01 00 00 00 00 00 00 00 00 00 |.ELF............|
00000010 02 00 3e 00 01 00 00 00 b0 00 40 00 00 00 00 00 |..>.......@.....|
00000020 40 00 00 00 00 00 00 00 10 01 00 00 00 00 00 00 |@...............|
00000030 00 00 00 00 40 00 38 00 02 00 40 00 06 00 03 00 |....@.8...@.....|
00000040 01 00 00 00 05 00 00 00 00 00 00 00 00 00 00 00 |................|
00000050 00 00 40 00 00 00 00 00 00 00 40 00 00 00 00 00 |..@.......@.....|
00000060 d7 00 00 00 00 00 00 00 d7 00 00 00 00 00 00 00 |................|
00000070 00 00 20 00 00 00 00 00 01 00 00 00 06 00 00 00 |.. .............|
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00000090 d8 00 60 00 00 00 00 00 0d 00 00 00 00 00 00 00 |..`.............|
000000a0 0d 00 00 00 00 00 00 00 00 00 20 00 00 00 00 00 |.......... .....|
000000b0 b8 01 00 00 00 bf 01 00 00 00 48 be d8 00 60 00 |..........H...`.|
000000c0 00 00 00 00 ba 0d 00 00 00 0f 05 b8 3c 00 00 00 |............<...|
000000d0 bf 00 00 00 00 0f 05 00 48 65 6c 6c 6f 20 77 6f |........Hello wo|
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00000110 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
*
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00000160 b0 00 40 00 00 00 00 00 b0 00 00 00 00 00 00 00 |..@.............|
00000170 27 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |'...............|
00000180 10 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000190 21 00 00 00 01 00 00 00 03 00 00 00 00 00 00 00 |!...............|
000001a0 d8 00 60 00 00 00 00 00 d8 00 00 00 00 00 00 00 |..`.............|
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00000270 4c 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |L...............|
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000002a0 00 00 00 00 00 00 00 00 00 00 00 00 03 00 01 00 |................|
000002b0 b0 00 40 00 00 00 00 00 00 00 00 00 00 00 00 00 |..@.............|
000002c0 00 00 00 00 03 00 02 00 d8 00 60 00 00 00 00 00 |..........`.....|
000002d0 00 00 00 00 00 00 00 00 01 00 00 00 04 00 f1 ff |................|
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00000330 00 00 00 00 00 00 00 00 2d 00 00 00 10 00 01 00 |........-.......|
00000340 b0 00 40 00 00 00 00 00 00 00 00 00 00 00 00 00 |..@.............|
00000350 34 00 00 00 10 00 02 00 e5 00 60 00 00 00 00 00 |4.........`.....|
00000360 00 00 00 00 00 00 00 00 40 00 00 00 10 00 02 00 |........@.......|
00000370 e5 00 60 00 00 00 00 00 00 00 00 00 00 00 00 00 |..`.............|
00000380 47 00 00 00 10 00 02 00 e8 00 60 00 00 00 00 00 |G.........`.....|
00000390 00 00 00 00 00 00 00 00 00 68 65 6c 6c 6f 5f 77 |.........hello_w|
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000003e4This company is a bit like Sun Microsystems, you can hear a note of awe in the voice of those who knew it at its peak. This was a bit before Ciro Santilli's awakening.
Both of them and Sun kind of died in the same way, unable to move from the workstation to the personal computer fast enough, and just got killed by the scale of competitors who did, notably Nvidia for graphics cards.
Some/all Nintendo 64 games were developed on it, e.g. it is well known that this was the case for Super Mario 64.
Also they were a big UNIX vendor, which is another kudos to the company.
Silicon Graphics Promo (1987)
Source. Highlights that this was one of the first widely available options for professional engineers/designers to do real-time 3D rendering for their designs. Presumably before it, you had to do use scripting to CPU render and do any changes incrementally by modifying the script.This script tests all executables under a selected directory.
Ciro Santilli has been writing scripts of that type for a long time in order to test his programming self-learning setups with asserts.
The most advanced of those being the test system of Linux Kernel Module Cheat.
But had too much stuff that would be specific to that project, so Ciro decided to start this new one in Node.js, hopefully it will also be the last he ever writes.
A sample usage of the test library can be seen at: nodejs/sequelize/test.
Key for quantum mechanics, see: mathematical formulation of quantum mechanics, the most important example by far being .
One specific software project, typically with a single executable file format entry point.
It runs one instance of the Linux kernel and has one IP address. Each node is therefore a complete computer. As such is must also contain RAM memory, disk storage and a network interface controller.
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