Superconducting quantum computer need non-linear components by 
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01Non-linearity is needed otherwise the input energy would just make the state go to higher and higher energy levels, e.g. from 1 to 2. But we only want to use levels 0 and 1.
The way this is modelled in by starting from a pure LC circuit, which is an harmonic oscillator, see also quantum LC circuit, and then replacing the linear inductor with a SQUID device, e.g. mentioned at: youtu.be/eZJjQGu85Ps?t=1655 Video "Superconducting Qubits I Part 1 by Zlatko Minev (2020)".
Super Mario 64 reverse engineering project by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01OMG, both of those just fucking work on Ubuntu 20.04 with README instructions, it is unbelievable, those people don't have lives. And it builds the ROM byte by byte equal from source!
There are a few different versions:
- github.com/n64decomp/sm64 for emulator (i.e. or real hardware), tested at 9214dddabcce4723d9b6cda2ebccbac209f6447d
- github.com/sm64-port/sm64-port Ubuntu native, tested at 6b47859f757a40096fedd6237f2bc3573d0bc2a4Full screen with F10.
- github.com/sm64pc/sm64ex: fork of sm64-port, untested by Ciro Santilli, but more new amazing usability features, notably:
--skip-intro: skips the annoying pipe intro and the need to wait for Lakitu to bring Peaches message!- in-game menu:
- cheats:
- hide HUD!
- no level selection yet, but a matter of time?
Also reported to work on ARM: www.reddit.com/r/linux/comments/ityg6w/pinephone_playing_super_mario_64_30fps/They also ported to browser with Emscripten: github.com/sm64pc/sm64ex/wiki/Compiling-for-the-web
Tested with the USA ROM at sha1sum 9bef1128717f958171a4afac3ed78ee2bb4e86ce (you need a ROM to extract assets, which the project automates), which is also documented in the project itself: github.com/sm64-port/sm64-port/blob/6b47859f757a40096fedd6237f2bc3573d0bc2a4/sm64.us.sha1. Disclaimer: Ciro Santilli owns a copy of Super Mario 64.
The only dependency missing from Ubuntu packages is the IRIX QEMU user mode which they need for their tooling. The project also has a QEMU fork for that, and provide a working deb.
From this project it was also noticed that certain ROM releases were not compiled with optimizations enabled, presumably because as a release title the compiler had optimization bugs! www.resetera.com/threads/so-apparently-the-ntsc-build-of-mario-64-didnt-use-any-compiler-optimizations.166277/ But now they do have a working compiler, and by turning that switch FPS increases in certain levels!!!
It is good to know that this game will "never die".
Some quick stupid patches:
- jump really high:
diff --git a/src/game/mario.c b/src/game/mario.c index 5b103fa..83c9f40 100644 --- a/src/game/mario.c +++ b/src/game/mario.c @@ -826,7 +826,7 @@ static u32 set_mario_action_airborne(struct MarioState *m, u32 action, u32 actio case ACT_JUMP: case ACT_HOLD_JUMP: m->marioObj->header.gfx.unk38.animID = -1; - set_mario_y_vel_based_on_fspeed(m, 42.0f, 0.25f); + set_mario_y_vel_based_on_fspeed(m, 200.0f, 0.25f); m->forwardVel *= 0.8f; break;
Interesting entry points:
src/game/game_init.c
TODO: enable the level select debug feature! tcrf.net/Super_Mario_64_(Nintendo_64)/Debug_Content#Classic_Debug_Display They actually shipped quite a few debug features into the retail game, and they have been reversed too. I tried this but it didn't work (or I don't know how to enable the level select menu):
diff --git a/src/game/main.c b/src/game/main.c
index 9e53e50..b7443a8 100644
--- a/src/game/main.c
+++ b/src/game/main.c
@@ -65,7 +65,7 @@ s8 sAudioEnabled = 1;
u32 sNumVblanks = 0;
s8 gResetTimer = 0;
s8 D_8032C648 = 0;
-s8 gDebugLevelSelect = 0;
+s8 gDebugLevelSelect = 1;
s8 D_8032C650 = 0;
s8 gShowProfiler = FALSE;The
enhancements/ folder contains a few sample patches.
Screenshot of mupen64Plus running on Ubuntu 20.04 emulating Super Mario 64 with the title screen hacked by Ciro Santilli based on the Super Mario 64 reverse engineering project
. The title was on a string, so the hack was trivial! The patch used was:diff --git a/include/text_strings.h.in b/include/text_strings.h.in
index 749179b..626f87e 100644
--- a/include/text_strings.h.in
+++ b/include/text_strings.h.in
@@ -131,7 +131,7 @@
*/
// Main Screens
#define TEXT_MARIO _("MARIO") // View Score Menu
-#define TEXT_SELECT_FILE _("SELECT FILE")
+#define TEXT_SELECT_FILE _("HACKED BY CIRO")
#define TEXT_CHECK_FILE _("CHECK FILE")
#define TEXT_COPY_FILE _("COPY FILE")
#define TEXT_ERASE_FILE _("ERASE FILE")Some tutorials of hacking it:
- www.youtube.com/watch?v=Jkb7Naczoww SM64 Decomp Tutorial 1: Setting Up and First Code Changes by Bitlytic (2021)
- www.youtube.com/watch?v=IuIpqX4neWg Rovert Decomp Tech Demo by Rovert (2019) Metal cap makes Mario huge.
- www.youtube.com/watch?v=5aG1Iyjo20w Is it Possible to Beat Super Mario 64 as Tiny Mario? (Mini Mario Challenge) coverts the obvious make Mario huge/tiny hack. Huge mario verion: www.youtube.com/watch?v=pR_gol6zlIo. There was a pre-decompilation ROM hack doing that trivial change already: Tiny Huge Mario 64. Sample tool-assisted speedrun: www.youtube.com/watch?v=C7BjzZ_Nkk0
Both eukaryotic and prokaryotic ribosomes have a large and a small subunit.
These examples are written in the Sequelize library using raw queries.
Sequelize is used minimally, just to feed raw queries in transparently to any underlying database, and get minimally parsed results out for us, which we then assert with standard JavaScript. The queries themselves are all written by hand.
By default the examples run on SQLite. Just like the examples from sequelize example, you can set the database at runtime as:
./index.jsor./index.js l: SQLite./index.js p: PostgreSQL. You must manually create a database calledtmpand ensure that peer authentication works for it
Here we list only examples which we believe are standard SQL, and should therefore work across different SQL implementations:
- nodejs/sequelize/raw/index.js: basic hello world to demonstrate the setup and very simple functionality
- nodejs/sequelize/raw/many_to_many.js: illustrates many-to-many relations with JOIN. Contains:
- SQL transaction examples:
- nodejs/sequelize/raw/commit_error.js: stackoverflow.com/questions/27245101/why-should-we-use-rollback-in-sql-explicitly/27245234#27245234 and stackoverflow.com/questions/48277519/how-to-use-commit-and-rollback-in-a-postgresql-function/48277708#48277708 suggest that on PostgreSQL, once something fails inside a transaction, all queries in the current transaction are ignored, and
COMMITsimply does aROLLBACK. Let's check. Yup, true for Postgres, but false for SQLite, SQLite just happily runs anything it can, you really needROLLBACKfor it. - SQL isolation level example
- nodejs/sequelize/raw/commit_error.js: stackoverflow.com/questions/27245101/why-should-we-use-rollback-in-sql-explicitly/27245234#27245234 and stackoverflow.com/questions/48277519/how-to-use-commit-and-rollback-in-a-postgresql-function/48277708#48277708 suggest that on PostgreSQL, once something fails inside a transaction, all queries in the current transaction are ignored, and
- GROUP BY and SQL aggregate functions:
- nodejs/sequelize/raw/group_by_extra_column.js: let's see if it blows up or not on different DB systems,
sqlite3Node.js package allows it:- github.com/sequelize/sequelize/issues/5481#issuecomment-964387232
- dba.stackexchange.com/questions/141594/how-select-column-does-not-list-in-group-by-clause/141600 says that it was allowed in SQL:1999 when there are no ambiguities due to constraints, e.g. when grouping by unique columns
- github.com/postgres/postgres/blob/REL_13_5/src/test/regress/sql/functional_deps.sql#L27 shows that PostgreSQL wants it to work for
UNIQUE NOT NULL, but they just haven't implemented it as of 13.5, where it only works if you group byPRIMARY KEY - dba.stackexchange.com/questions/158015/why-can-i-select-all-fields-when-grouping-by-primary-key-but-not-when-grouping-b also says that
UNIQUE NOT NULLdoesn't work. Dan Lenski then points to rationale mailing list thread:
- nodejs/sequelize/raw/group_by_max_full_row.js: here we try to get the full row of each group at which a given column reaches the max of the group
- Postgres: has
SELECT DISCINTCT ONwhich works perfectly if you only want one row in case of multiple rows attaining the max.ONis an extension to the standard unfortunately: www.postgresql.org/docs/9.3/sql-select.html#SQL-DISTINCT Docs specify that it always respectsORDER BYwhen selecting the row.- stackoverflow.com/questions/586781/postgresql-fetch-the-row-which-has-the-max-value-for-a-column asks it without the multiple matches use case
- stackoverflow.com/questions/586781/postgresql-fetch-the-rows-which-have-the-max-value-for-a-column-in-each-group/587209#587209 also present in simpler form at stackoverflow.com/questions/121387/fetch-the-rows-which-have-the-max-value-for-a-column-for-each-distinct-value-of/123481#123481 gives a very nice OUTER JOIN only solution! Incredible, very elegant.
- dba.stackexchange.com/questions/171938/get-only-rows-with-max-group-value asks specifically the case of multiple matches to the max
- stackoverflow.com/questions/586781/postgresql-fetch-the-row-which-has-the-max-value-for-a-column asks it without the multiple matches use case
- SQLite:
- stackoverflow.com/questions/48326957/row-with-max-value-per-group-sqlite
- stackoverflow.com/questions/48326957/row-with-max-value-per-group-sqlite/48328243#48328243 teaches us that in SQLite min and max are magic and guarantee that the matching row is returned
- stackoverflow.com/questions/48326957/row-with-max-value-per-group-sqlite/72996649#72996649 Ciro Santilli uses the magic of
ROW_NUMBER
- stackoverflow.com/questions/17277152/sqlite-select-distinct-of-one-column-and-get-the-others/71924314#71924314 get any full row without specifying which, we teach how to specify
- code.djangoproject.com/ticket/22696 WONTFIXed
DISTINCT ON- stackoverflow.com/questions/50846722/what-is-the-difference-between-postgres-distinct-vs-distinct-on/72997494#72997494
DISTINCTvsDISTINCT ON, somewhat related question
- stackoverflow.com/questions/50846722/what-is-the-difference-between-postgres-distinct-vs-distinct-on/72997494#72997494
- stackoverflow.com/questions/48326957/row-with-max-value-per-group-sqlite
- stackoverflow.com/questions/5803032/group-by-to-return-entire-row asks how to take the top N with distinct after order limit. I don't know how to do it in Postgres
- Postgres: has
- nodejs/sequelize/raw/most_frequent.js: illustrates a few variants of findind the mode, including across GROUP
- nodejs/sequelize/raw/group_by_max_n.js: get the top N in each group
- nodejs/sequelize/raw/group_by_extra_column.js: let's see if it blows up or not on different DB systems,
- order results in the same order as
IN: - LIMIT by a running total: TODO links
Leads to the Proca equation.
Schrödinger equation solution for the helium atom by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01No closed form solution, but good approximation that can be calculated by hand with the Hartree-Fock method, see hartree-Fock method for the helium atom.
Bibliography:
Quantum Chemistry 9.2 - Helium Atom Energy Approximations by TMP Chem (2016)
Source. Video gives the actual numerical value of various methods, second order perturbation theory being very close. But it the says that in the following videos will only do Hartree-Fock method. Wealth distribution in the United States by Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01Grew tremendously since the 1990's, likely linked to the Internet.
www.cbpp.org/wealth-concentration-has-been-rising-toward-early-20th-century-levels-2 shows historical for top 1% and 0.5% from 1920 to 2010.
TODO why is it so hard to find a proper cumulative distribution function-like curve? OMG. This appears to be also called a Lorenz curve.
Quantum numbers appear directly in the Schrödinger equation solution for the hydrogen atom.
However, it very cool that they are actually discovered before the Schrödinger equation, and are present in the Bohr model (principal quantum number) and the Bohr-Sommerfeld model (azimuthal quantum number and magnetic quantum number) of the atom. This must be because they observed direct effects of those numbers in some experiments. TODO which experiments.
E.g. The Quantum Story by Jim Baggott (2011) page 34 mentions:This refers to forbidden mechanism. TODO concrete example, ideally the first one to be noticed. How can you notice this if the energy depends only on the principal quantum number?
As the various lines in the spectrum were identified with different quantum jumps between different orbits, it was soon discovered that not all the possible jumps were appearing. Some lines were missing. For some reason certain jumps were forbidden. An elaborate scheme of ‘selection rules’ was established by Bohr and Sommerfeld to account for those jumps that were allowed and those that were forbidden.
Quantum Numbers, Atomic Orbitals, and Electron configurations by Professor Dave Explains (2015)
Source. He does not say the key words "Eigenvalues of the Schrödinger equation" (Which solve it), but the summary of results is good enough. Unlisted articles are being shown, click here to show only listed articles.