One of the causes Ciro Santilli care the most about: motivation.
How to improve education? Simple:
- tax the fuck out of the rich people and companies: wealth tax and invest it in education
- invest intelligently as mentioned at what poor countries have to do to get richer:
- focus on fewer higher excellence schools that select the most promising poor students, rather than giving crappy average to everyone
- use OurBigBook.com
Given experiments such as the Fizeau experiment and the Michelson-Morley experiment that couldn't really detect the Earth's movement across aether, people started to wonder if the Earth wasn't dragging the luminiferous aether.
The Einstein summation convention works will with partial derivatives and it is widely used in particle physics.
In particular, the divergence and the Laplacian can be succinctly expressed in this notation:
In order to express partial derivatives, we must use what Ciro Santilli calls the "partial index partial derivative notation", which refers to variables with indices such as , , , , and instead of the usual letters , and .
One important quantum mechanics experiment, which using quantum effects explain the dependency of specific heat capacity on temperature, an effect which is not present in the Dulong-Petit law.
This is the solid-state analogue to the black-body radiation problem. It is also therefore a quantum mechanics-specific phenomenon.
As of the 20th century, this can be described well as "the phenomena described by Maxwell's equations".
Back through its history however, that was not at all clear. This highlights how big of an achievement Maxwell's equations are.
In the case of field however, we can expand the Lagrangian out further, to also integrate over the space coordinates and their derivatives.
Since we are now working with something that gets integrated over space to obtain the total action, much like density would be integrated over space to obtain a total mass, the name "Lagrangian density" is fitting.
Of course, if we were to write it like that all the time we would go mad, so we can just write a much more condensed vectorized version using the gradient with :
And in the context of special relativity, people condense that even further by adding to the spacetime Four-vector as well, so you don't even need to write that separate pesky .
The main point of talking about the Lagrangian density instead of a Lagrangian for fields is likely that it treats space and time in a more uniform way, which is a basic requirement of special relativity: we have to be able to mix them up somehow to do Lorentz transformations. Notably, this is a key ingredient in a/the formulation of quantum field theory.
Running:gives:
hd hello_world.o
00000000 7f 45 4c 46 02 01 01 00 00 00 00 00 00 00 00 00 |.ELF............|
00000010 01 00 3e 00 01 00 00 00 00 00 00 00 00 00 00 00 |..>.............|
00000020 00 00 00 00 00 00 00 00 40 00 00 00 00 00 00 00 |........@.......|
00000030 00 00 00 00 40 00 00 00 00 00 40 00 07 00 03 00 |....@.....@.....|
00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
*
00000080 01 00 00 00 01 00 00 00 03 00 00 00 00 00 00 00 |................|
00000090 00 00 00 00 00 00 00 00 00 02 00 00 00 00 00 00 |................|
000000a0 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
000000b0 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
000000c0 07 00 00 00 01 00 00 00 06 00 00 00 00 00 00 00 |................|
000000d0 00 00 00 00 00 00 00 00 10 02 00 00 00 00 00 00 |................|
000000e0 27 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |'...............|
000000f0 10 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000100 0d 00 00 00 03 00 00 00 00 00 00 00 00 00 00 00 |................|
00000110 00 00 00 00 00 00 00 00 40 02 00 00 00 00 00 00 |........@.......|
00000120 32 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |2...............|
00000130 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000140 17 00 00 00 02 00 00 00 00 00 00 00 00 00 00 00 |................|
00000150 00 00 00 00 00 00 00 00 80 02 00 00 00 00 00 00 |................|
00000160 a8 00 00 00 00 00 00 00 05 00 00 00 06 00 00 00 |................|
00000170 04 00 00 00 00 00 00 00 18 00 00 00 00 00 00 00 |................|
00000180 1f 00 00 00 03 00 00 00 00 00 00 00 00 00 00 00 |................|
00000190 00 00 00 00 00 00 00 00 30 03 00 00 00 00 00 00 |........0.......|
000001a0 34 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |4...............|
000001b0 01 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
000001c0 27 00 00 00 04 00 00 00 00 00 00 00 00 00 00 00 |'...............|
000001d0 00 00 00 00 00 00 00 00 70 03 00 00 00 00 00 00 |........p.......|
000001e0 18 00 00 00 00 00 00 00 04 00 00 00 02 00 00 00 |................|
000001f0 04 00 00 00 00 00 00 00 18 00 00 00 00 00 00 00 |................|
00000200 48 65 6c 6c 6f 20 77 6f 72 6c 64 21 0a 00 00 00 |Hello world!....|
00000210 b8 01 00 00 00 bf 01 00 00 00 48 be 00 00 00 00 |..........H.....|
00000220 00 00 00 00 ba 0d 00 00 00 0f 05 b8 3c 00 00 00 |............<...|
00000230 bf 00 00 00 00 0f 05 00 00 00 00 00 00 00 00 00 |................|
00000240 00 2e 64 61 74 61 00 2e 74 65 78 74 00 2e 73 68 |..data..text..sh|
00000250 73 74 72 74 61 62 00 2e 73 79 6d 74 61 62 00 2e |strtab..symtab..|
00000260 73 74 72 74 61 62 00 2e 72 65 6c 61 2e 74 65 78 |strtab..rela.tex|
00000270 74 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |t...............|
00000280 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000290 00 00 00 00 00 00 00 00 01 00 00 00 04 00 f1 ff |................|
000002a0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
000002b0 00 00 00 00 03 00 01 00 00 00 00 00 00 00 00 00 |................|
000002c0 00 00 00 00 00 00 00 00 00 00 00 00 03 00 02 00 |................|
000002d0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
000002e0 11 00 00 00 00 00 01 00 00 00 00 00 00 00 00 00 |................|
000002f0 00 00 00 00 00 00 00 00 1d 00 00 00 00 00 f1 ff |................|
00000300 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000310 2d 00 00 00 10 00 02 00 00 00 00 00 00 00 00 00 |-...............|
00000320 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000330 00 68 65 6c 6c 6f 5f 77 6f 72 6c 64 2e 61 73 6d |.hello_world.asm|
00000340 00 68 65 6c 6c 6f 5f 77 6f 72 6c 64 00 68 65 6c |.hello_world.hel|
00000350 6c 6f 5f 77 6f 72 6c 64 5f 6c 65 6e 00 5f 73 74 |lo_world_len._st|
00000360 61 72 74 00 00 00 00 00 00 00 00 00 00 00 00 00 |art.............|
00000370 0c 00 00 00 00 00 00 00 01 00 00 00 02 00 00 00 |................|
00000380 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................|
00000390
Superconducting qubits are bad because of fabrication variation Updated 2025-06-17 +Created 1970-01-01
However superconducting qubits have a limit on how precise their parameters can be set based on how well we can fabricate devices. This may require per-device characterisation.
Specific type of Josephson junction. Probably can be made tiny and in huge numbers through photolithography.
The problem of deletionism is that it removes users' confidence that their precious data will be safe. It's almost like having a database that constantly resets itself. Who will be willing to post on a website that deletes the content they created for free half of the time thus wasting people's precious time?
hello_world_len
points to the special st_shndx == SHN_ABS == 0xF1FF
.0xF1FF
is chosen so as to not conflict with other sections.st_value == 0xD == 13
which is the value we have stored there on the assembly: the length of the string Hello World!
.This is small optimization that our assembler does for us and which has ELF support.
- 10 8:
st_name
=01000000
= character 1 in the.strtab
, which until the following\0
makeshello_world.asm
This piece of information file may be used by the linker to decide on which segment sections go: e.g. inld
linker script we write:segment_name : { file(section) }
segment_name : { *(section) }
- 10 13:
st_shndx
= Symbol Table Section header Index =f1ff
=SHN_ABS
. Required forSTT_FILE
. - 20 0:
st_value
= 8x00
: required for value forSTT_FILE
- 20 8:
st_size
= 8x00
: no allocated size
Now from the
readelf
, we interpret the others quickly. There are unlisted articles, also show them or only show them.