Ising model Updated 2025-07-16
Toy model of matter that exhibits phase transition in dimension 2 and greater. It does not provide numerically exact results by itself, but can serve as a tool to theorize existing and new phase transitions.
Each point in the lattice has two possible states: TODO insert image.
As mentioned at: stanford.edu/~jeffjar/statmech/intro4.html some systems which can be seen as modelled by it include:
Also has some funky relations to renormalization TODO.
Video 1.
The Ising Model in Python by Mr. P Solver
. Source. The dude is crushing it on a Jupyter Notebook.
Islamic sect Updated 2025-07-16
Isolation (database systems) Updated 2025-07-16
Determines what can or cannot happen when multiple queries are running in parallel.
See Section "SQL transaction isolation level" for the most common context under which this is discussed: SQL.
Isometry group Updated 2025-07-16
The group of all transformations that preserve some bilinear form, notable examples:
Isomorphism Updated 2025-07-16
Something analogous to a group isomorphism, but that preserves whatever properties the given algebraic object has. E.g. for a field, we also have to preserve multiplication in addition to addition.
Other common examples include isomorphisms of vector spaces and field. But since both of those two are much simpler than groups in classification, as they are both determined by number of elements/dimension alone, see:we tend to not talk about isomorphisms so much in those contexts.
A cool thought about cancer expressed at Power, Sex, Suicide by Nick Lane (2006) is that cancer it is the direct product of natural selection gone wrong!
Cancer cells are obviously selected against anti-cancer mechanism, which when they manage to evade, they reproduce uncontrollably, gaining more and more momentum.
ISO SQL TRIGGER syntax Updated 2025-07-16
TODO what is the standard compliant syntax?
SQLite does not support SQL stored procedures at all, so maybe that's why they can't be standard compliant here: stackoverflow.com/questions/3335162/creating-stored-procedure-in-sqlite
SQL:1999 11.38 covers "Trigger definition". The Abstract syntax tree starts with the CREATE TRIGGER and ends in:
<triggered SQL statement> ::=
  <SQL procedure statement>
This is defined at 13.5 "SQL procedure statement", but that is humongous and I'm not sure what it is at all.
Isothermal means "at fixed temperature".
This is to contrast with the more well established polymerase chain reaction, which requires heating and cooling the sample several times.
The obvious advantage of isothermal methods is that their machinery can be simpler and cheaper, and the process can happen faster, since you don't have to do through heating and cooling cycles.
Italy Updated 2025-07-16
Arago spot Updated 2025-07-16

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